Of the American Mathematical Society August 2017 Volume 64, Number 7

Home , Arat (The Walking Dead), Crosscap number, Elchanan Mossel, Felix Pirani, Helmut Hasse, Hopf conjecture

ISSN 0002-9920 (print) ISSN 1088-9477 (online)

of the American Mathematical Society August 2017 Volume 64, Number 7

The Mathematics of Gravitational Waves: A Two-Part Feature page 684 The Travel Ban: Aﬀected Mathematicians Tell Their Stories page 678 The Global Math Project: Uplifting Mathematics for All page 712 2015–2016 Doctoral Degrees Conferred page 727

Gravitational waves are produced by black holes spiraling inward (see page 674). American Mathematical Society

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684684 718 26 678 Gravitational Waves The Graduate Student The Travel Ban: Affected Introduction Section Mathematicians Tell Their by Christina Sormani Karen E. Smith Interview Stories How the Green Light was Given for by Laure Flapan Gravitational Wave Research by Alexander Diaz-Lopez, Allyn by C. Denson Hill and Paweł Nurowski WHAT IS...a CR Submanifold? Jackson, and Stephen Kennedy by Phillip S. Harrington and Andrew Gravitational Waves and Their Raich Mathematics by Lydia Bieri, David Garfinkle, and Nicolás Yunes

This season of the Perseid meteor shower August 12 and the third sighting in June make our cover feature on the discovery of gravitational waves stirring and profound. Later in the issue, James Tanton tells you how to prepare for Global Math Week, coming in October. Enjoy the summer while you can. —Frank Morgan, Editor-in-Chief

FROM THE AMS SECRETARY ALSO IN THIS ISSUE

711 Voting Information for 2017 AMS Election 712 T e Global Math Project: Uplifting Mathematics for All James Tanton and Brianna Donaldson COMMENTARY 727 2015–2016 Doctoral Degrees Conferred 761 Interview with Michèle Audin 676 Letters to the Editor Allyn Jackson 682 Opinion: International Mobility 772 T e “ Wide Inﬂ uence” of Leonard Eugene Dickson and US Mathematics Della Dumbaugh and Amy Shell-Gellasch Moon Duchin 779 Ellenberg in Gifted 709 Opinion: Post-Quantum Cryptography: Allyn Jackson A New Opportunity and Challenge Jintai Ding and Daniel Smith-Tone

758 Book Review: One Hundred Twenty-One Days John McCleary Notices A MERICAN M ATHEMATICAL S OCIETY of the American Mathematical Society

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Online Survey of Publishing Issues The Daughters of John Adams In 2016 I circulated an online survey of mathematicians, On the Back Page (Volume 64, Number 5, May 2017 issue), to elicit opinions on various issues related to journal the editor inserts “and daughters!” into John Adams’s publishing. The survey, which was terminated after 1,000 statement, “I must study politics and war that my sons responses, was propagated via mailing lists (for example, may have liberty to study mathematics and philosophy.” by the European Mathematical Society but not by the AMS) The implication seems to be that Adams must have in- and via direct e-mails to pseudo-randomly chosen depart- tended to include his daughters, even if he did not men- ments and societies in order to reach a wide cross-section tion them explicitly, but this may be an overly generous of the international mathematical community. The raw assumption. Adams penned that line four years after data is available at https://figshare.com/projects Abigail Adams’s famous exhortation to “remember the /Survey_of_mathematical_publishing/16944, and ladies,” and so he was not unaware of the issue of women’s an analysis of the results by Cameron Neylon, David M. education, but he did not make the issue a political prior- Roberts, and me appears in the March 2017 issue of the ity. Abigail Adams Smith, the only one of his daughters Newsletter of the EMS. to survive to adulthood, received no formal education. The results show widespread appetite for change. On a five-point scale, from one being “the status-quo is com- Timothy Chow pletely acceptable” and five being “almost all [journals] Princeton, NJ need serious work,” 78 percent of respondents selected [email protected] three, four, or five. Free-form comments concentrated heavily on peer review quality, administrative efficiency, (Received May 28, 2017) price, and access, and almost 200 journals from fifty- seven publishers were mentioned by name as needing serious improvement. When asked what should happen if efforts by editors to reform a journal are blocked by the publisher, over half of respondents favored resignation, with 29 percent suggesting the editors join a better journal and 32 percent supporting creation of a new journal. Only EDITOR'S NOTE. Or maybe our implication is that 4.5 percent favored settling for the status quo. Respon- Adams should have included his daughters! dents showed substantial support for innovations such as banning monetary payments to editors (43 percent) and editorial term limits (30 percent), credit for referees, open access, open refereeing, and election of editors. The results also show that reputation of journals is strongly believed to follow from peer review quality and editorial board research quality, while the identity of the publisher is almost negligibly important. Interestingly, when asked what they thought the opinion of the community was on all these issues, respondents consistently rated themselves as much more progressive than the community at large. I hope that making this public will help dispel some of the myths around journal reform and encourage editors, readers, and authors to investigate changes to the status quo. I am currently involved in several projects to improve the current journal system, notably MathOA (mathoa.org), and welcome feedback from fellow AMS members.

Mark C. Wilson University of Auckland Department of Computer Science mcw.blogs.auckland.ac.nz *We invite readers to submit letters to the editor to notices- [email protected] and post commentary on the Notices webpage (Received March 29, 2017) www.ams.org/notices.

676 NOTICES OF THE AMS VOLUME 64, NUMBER 7 A MERICAN M ATHEMATICAL S OCIETY

Call for Applications & Nominations Chief Editor of the Notices

ISSN 0002-9920 (print) ISSN 1088-9477 (online) Applications and nominations are invited for the position of Chief Editor of the Notices of the

Volume 64, Number 1 January 2017 American Mathematical Society, to commence JMM 2017 Lecture Sampler page 8

D1*+ .$%56$76$8 !"-+'.3 with the January 2019 issue. The Society seeks Hodge Theory of Matroids page 26

Charleston Meeting G! ) ! 1 + $%5 f + *! page 80 an individual with strong mathematical research

2017 Mathematical Congress B+ '/$%!01 * of the Americas (MCA 2017) page 88 2 1 ( ! + 3 $ H1 " 4 $ C1 . ! * ) experience, broad mathematical interests, and a L! 3+$J# f' # / commitment to communicating mathematics to

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, ! < ' ! . $ G+ * ) ( 1 A* *+$,! * - + ' . applicant must demonstrate excellent written

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of the American Mathematical Society February 2017 Volume 64, Number 2 The Chief Editor has editorial responsibility for A Conceptual Breakthrough in Sphere Packing page 102 a major portion of the Notices within broad The Partitionability Conjecture page 117 guidelines. The goal of the Notices is to serve Bloomington Meeting page 176

Pullman Meeting all mathematicians by providing a lively and page 181 informative magazine containing exposition about mathematics and mathematicians, and information about the profession and the Society.

ISSN 0002-9920 (print) ISSN 1088-9477 (online) The Chief Editor is assisted by a board of

of the American Mathematical Society Maryna Viazovska proves sphere packing in 8-D. Volume 63, Number 11 Associate Editors, nominated by the Chief Editor, December 2016

An Introduction to the AMS± NZMS who help to fashion the contents of the Notices Maclaurin Lecture ™ Siegel' s Problem on Small Volume Lattices page 1244 Interview with Gigliola Staﬃlani and solicit material for publication. Some writing, page 1250

WHAT ISº Symplectic Geometry page 1252 and all publication support, will be provided by A Conversation with Helen Grundman, AMS Director of Education and Diversity page 1258 AMS staﬀ . The Chief Editor will operate from her or his home base. Compensation will be negoti- ated for this half-time position and local part-time secretarial support will be provided. In order to ISSN 0002-9920 (print) ISSN 1088-9477 (online) begin working on the January 2019 issue, some

About the Cover: Searching for Small Hyperbolic Quotients (see page 1248)

of the American Mathematical Society editorial work would begin in early 2018. April 2017 Volume 64, Number 4

AMS Prize Announcements page 311

Spring Sectional Sampler page 333 Nominations and applications (including

AWM Research Symposium 2017 Lecture Sampler page 341 curriculum vitae) should be sent to the Chair Mathematics and Statistics Awareness Month page 362 of the Search Committee, Executive Director Catherine A. Roberts, at [email protected]. Conﬁ dential inquiries may also be sent directly to Catherine A. Roberts or to any other member of the Search Committee (David Jerison, Mary Pugh,

About the Cover: How Minimal Surfaces Converge to a Foliation (see page 307) Kenneth Ribet, or Carla Savage).

To receive full consideration, nominations and applications should be sent on or before September 15, 2017. COMMUNICATION

The Travel Ban: Affected Mathematicians Tell Their Stories

Alexander Diaz-Lopez, Allyn Jackson, and Stephen Kennedy

On Friday, January 27, 2017, Donald Trump signed Execu- would describe his work. His tive Order 13769 banning entry into the United States by visa application to attend that citizens of seven Middle Eastern nations. Innocent people ceremony was in process when ‘‘could were detained and expelled; families were divided; chaos, the executive order was issued. confusion, and discord were widespread. On Monday, The uncertainty about his abil- negatively January 30, the AMS Trustees issued a statement oppos- ity to enter the US forced him to affect the ing the ban (see sidebar on page 680). Notices sought out deliver the lecture and receive individuals directly affected by the ban, and we report his prize via a livestream from US status in their stories here. The publication schedule of Notices Lausanne on March 24. undoubtedly means that these colleagues’ situations will Major conferences in Raza- science’’ have changed by the time their stories appear in print. vi’s field are regularly held in Hamed Razavi is a postdoc- —H. Razaviii the United States; he assumes toral researcher at the bioro- that these are now closed to botics laboratory of the École Polytechnique Fédérale de Lau- him. He had considered aca- sanne (EPFL), Switzerland. Ra- demic employment in the United States at the conclusion zavi is an Iranian citizen with a of his current postdoctoral position but assumes this bachelor’s degree in mathemat- option is also closed to him. ics and mechanical engineering Razavi’s main concern is not his own future. He is and a master’s in the latter dis- more worried about younger Iranian and Middle Eastern cipline from Shiraz University. would-be mathematicians and scientists who will not have the opportunity for US visits and educations. He is worried Hamed Razavi, a recent He came to the United States Michigan PhD and an in 2010 and earned a PhD from about the people in the United States who might, with no Iranian citizen, was the University of Michigan in warning, be cut off from families and friends again. He prevented by the ban applied mathematics in 2016. points too to the damage being from returning to Ann Razavi works in control the- done to the reputation and Arbor to collect the ory. In his thesis, he developed practice of US science, saying, Sumner Myers Prize. a mathematical theory to de- “It is not only about the spe- sign algorithms for stable peri- cific people that the travel ban odic walking of legged robots. His work at EPFL is focused has affected, it is also about on implementing that theory. His PhD thesis was awarded the atmosphere that it has gen- Michigan’s Sumner Myers Prize for the best mathemat- erated which could negatively ics dissertation of 2016. That prize was to be awarded affect the US status in science.” this spring at a ceremony in Ann Arbor at which Razavi Beheshteh Tolouei Rakh- The authors are Notices editors. Their e-mail addresses are Beheshteh Tolouei shan, originally from Iran, [email protected], [email protected], and skennedy@ Rakhshan is a graduate has been a PhD student in carleton.edu. student at Purdue. Her applied mathematics at Pur- For permission to reprint this article, please contact: Iranian fiancé is unable due University since the fall of [email protected] . to join her in the United 2016. Because she has multiple DOI: http://dx.doi.org/10.1090/noti1548 States. sclerosis, she must try to avoid

678 NOTICES OF THE AMS VOLUME 64, NUMBER 7 COMMUNICATION strong mental pressure and stress, which can seriously is another executive order that will significantly affect my affect her physical well-being. life,” he said. Since November 2013 she has been en- Rasekh plans to graduate next year gaged to an Iranian man. The two studied and hopes for a postdoc with a strong at the same university in Iran and together homotopy theory group. He feels rea- began the application process for further ‘‘I was hoping I sonably secure about being able to stay study in the United States. She was accepted in the United States to finish his degree. at Purdue, and he was accepted in applied could play a part But he has decided that he must focus mathematics at Georgia State University. his job search outside the United States Although they would be geographically sep- in changing these given the uncertainty of his status here. arated, they resolved to meet every chance conceptions.’’ He points out the logistical difficulty of they could. This resolution helped Rakhshan looking for a job outside the country both emotionally and physically to have the —N. Rasekhgg while simultaneously being unable to strength she needed for her studies. leave the country because of possible Rakhshan received her F1 Visa at the difficulty in returning. For that same United States embassy in Armenia. However, reason he has stopped considering her fiancé’s five visa applications were denied under Sec- conference travel outside the United States. tion 214(b), meaning that he did not demonstrate suffi- Rasekh stresses that he doesn’t feel that he has been ciently strong and long-term ties outside the United States. particularly harmed by the ban. He is more worried about The denials all occurred before the executive order. Now, others: refugees in dire danger being denied safety, other with the executive order in place, the young couple fear foreigners being denied the educational opportunities he they will never be able to carry out their plans. Unable to has enjoyed. He worries too about the misconceptions in see her fiancé or her family, Rakhshan is considering leav- the United States that lead to such policies. “There seem ing the United States to continue her education elsewhere. to be a lot of misunderstandings in this society when it This would not be an easy decision, since she worked hard comes to Iranian or in general Middle Eastern people,” he in Iran to save enough money to come to the United States said. “I was hoping I could play a part in changing these and realize her educational goals. Her illness, together conceptions.” with the emotional stress she has endured, have left her Camelia Karimianpour is without the concentration needed for her mathematical postdoctoral assistant pro- work. fessor at the University of Nima Rasekh is a fourth- Michigan working in represen- year graduate student at tation theory of p-adic groups. the University of Illinois at She was born and grew up in Urbana–Champaign studying Tehran and attended the Uni- homotopy theory, specifically versity of Tehran for her un- higher category theory. Rasekh dergraduate education. Her is an Iranian citizen who spent master’s and PhD are from the his childhood in Germany and University of Ottawa. She inter- attended high school and uni- rupted her graduate education versity in Shiraz, Iran. Rasekh Camelia Karimianpour to teach high school mathe- spent one year at the Univer- is a postdoc at matics in Tehran for two years. sity of Western Ontario, earn- Michigan whose sister She returned to Ottawa and Nima Rasekh is a ing a master’s degree, before was stranded in Tehran earned her PhD under Monica graduate student at moving to the United States after attending their Nevins and Hadi Salmasian Illinois. His wife was and UIUC in fall 2013. father’s funeral. with a thesis titled “The Stone- trapped outside the On the day that the travel von Neumann construction in country by the travel ban was issued, Rasekh’s wife, branching rules and minimal degree problems.” ban. an Iranian citizen with a valid Karimianpour is concerned about her ability to travel US Visa, was in Iran visiting outside the United States. She believes it would be “very family. The ban would prevent her from returning. He de- risky” to leave the United States, though she had been scribes his life and state of mind as “completely upended” anticipating traveling for conferences and collaborations as he contemplated finishing his studies apart from her for to both Canada and Europe. he knew not how long. The stress and uncertainty made it Much of Karimianpour’s family remains in Tehran. She difficult to work. When Judge Robarts of the district court now feels unable to visit them, and, of course, they cannot stayed the executive order, Rasekh immediately bought a visit her. She has a sister and brother-in-law who live in plane ticket for his wife to return, and, fortunately, she Philadelphia. In November of last year Karimianpour and made it home. “The other lasting effect is that it just makes her sister traveled to Iran for their father’s funeral. Karim- doing math more difficult, as I am now forced to spend a ianpour returned to the United States before the ban was portion of every day to read news and see whether there put in place, but her sister remained behind in Iran for an

AUGUST 2017 NOTICES OF THE AMS 679 COMMUNICATION

extended visit. As of this to face a tenuous future in the United States. And second, writing, Karimianpour’s foreign mathematicians who are unaffected by the ban sister remains stranded in might just decide, either out of solidarity or a desire to ‘‘long-term Tehran, unable to return avoid mistreatment at the border, to avoid scientific trav- home to Philadelphia, be- els to the United States. effect [on] cause embassies will not the way schedule appointments Photo Credits to renew visas for citizens Photo of Hamed Razavi is courtesy of Hamed Razavi. mathematicians, of the seven countries ex- Photo of Beheshteh Tolouei Rakhshan is courtesy of Illia Photo cluded by the ban. and Film Studio. and science As was the case with Photo of Nima Rasekh is courtesy of Nima Rasekh. Photo of Camelia Karimianpour is courtesy of Camelia Karimi- every affected mathe- anpour. in general, matician with whom we talked, Karimianpour was progress’’ more concerned about the 3 effect on others and on Statement by AMS Board of Trustees —C. Karimianpourrr mathematics itself than The members of the Board of Trustees of the American she was about her own Mathematical Society wish to express their opposition situation. “I think we all to the Executive Order signed by President Trump that know the progress of math benefits enormously from temporarily suspends immigration benefits to citizens bright mathematicians regardless of their race, religion, of seven nations. or nationality. There is no doubt that limiting the access For many years, mathematical sciences in the USA of certain bright minds to some of the elite institutions have profited enormously from unfettered contact of mathematics will have a long-term effect [on] the way mathematicians, and science in general, progress.” She with colleagues from all over the world. The United cited two specific potential harms. First, talented young States has been a destination of choice for interna- foreign mathematicians, who already have to separate tional students who wish to study mathematics; the from their families and friends and endure an arduous US annually hosts hundreds of conferences attracting and extreme visa process, might be less willing to do that global participation. Our nation’s position of leadership in mathematics depends critically upon open scientific borders. By threatening these borders, the Executive 1 AMS Council Statement on Immigration Order will do irreparable damage to the mathematical The Council reaffirms its policy on immigration2, enterprise of the United States. adopted in March of 1997. We urge our colleagues to support efforts to main- Mathematical sciences profit enormously from un- tain the international collegiality, openness, and ex- fettered contact between colleagues from all over the change that strengthens the vitality of the mathematics world. The United States is a destination of choice for community, to the benefit of everyone. international students who wish to study mathematics; We have all signed the online petition of academ- the US annually hosts many conferences attracting ics4 opposing the ban. We encourage our colleagues global participation. Our nation's position of leadership to consider joining us in signing it and in asking the in mathematics depends critically upon open scientific Administration to rescind the Executive Order. borders. We urge our colleagues to support efforts to Robert Bryant, president of the AMS maintain the international collegiality, openness, and Kenneth Ribet, president-elect of the AMS exchange that strengthens the vitality of the mathe- Ruth Charney matics community, to the benefit of our nation and Ralph Cohen the world. Jane Hawkins Note: This Statement was adopted by the AMS Council Bryna Kra in April 2017. Robert Lazarsfeld Zbigniew Nitecki 1April 2017 Council Statement: www.ams.org/about-us/gover- Joseph Silverman nance/policy-statements/statements-immigration-0417 Karen Vogtmann 2March 1997 AMS Policy Statement: www.ams.org/about-us/ Note: The AMS Board of Trustees made this statement governance/policy-statements/sec-immigration on January 30, 2017, while Robert Bryant was AMS 3Board of Trustees Statement: www.ams.org/news?news_id=3305 president. Bryant's presidential term ended two days 4Academics Petition: https://notoimmigrationban.com/ later; he was succeeded by Kenneth Ribet.

680 NOTICES OF THE AMS VOLUME 64, NUMBER 7 A MERICAN M ATHEMATICAL S OCIETY

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Contact the AMS Development Ofﬁ ce by phone: 401-455-4111 or email: [email protected] OPINION International Mobility and US Mathematics Moon Duchin

Note: The opinions expressed here are not necessarily those of Notices. Responses on the Notices webpage are invited.

ticians and other scattered undesirables and malcontents ABSTRACT. United States mathematical history has fled the Fascists. American universities seized the op- been shaped by social, political, and religious flows portunity to raise their level of mathematics to rival the around the world. Policies fostering international ex- traditional European powerhouses, and US mathematics change and mobility are essential for a healthy math- has never looked back. Einstein may be the most famous ematical community. scientific name to come to our shores in those years, but Gödel, Noether, Weyl, Artin, Siegel, Bers, Courant, and By any account, the United States is now a world super- von Neumann all participated in the great transformation power on the mathematical stage. In mathematics, as in [1]. The reception of this new crop of mathematicians many fields, the US rose to its current prominence on was uneven, but the indisputable long-term effect was the strength of flows of ideas and of people across its the crystallization in the United States of the strongest borders in both directions. A special role was played by mathematical community in the world. immigration, as people moved around the world on strong Partly as a function of its new internationalism, post- religious and political currents. WWII America continued to attract immigrants from all An immigrant arguably started it: J. J. Sylvester came over the world at the highest levels of mathematics. New to the United States because his advancement was limited research centers like the Institute for Advanced Study in Britain: a brilliant Second Wrangler of the Cambridge (founded 1930) and the Courant Institute (founded 1935) Tripos, he was barred from receiving a Cambridge degree were flourishing by midcentury with a rich mix of na- by the university’s (Anglican) Articles of Faith. Neither tive-born and immigrant scholars. The postwar decades Sylvester, being Jewish, nor his contemporary Augustus brought A. Borel, Calderón, Chern, Chow, Harish-Chandra, De Morgan, being a “Dissenter,” could be fellows or pro- and Hironaka, among many others, and a constant flow fessors at Oxford or Cambridge at the time. De Morgan of visitors. went only as far afield as University College London, but Three brief profiles will help to illustrate both the Sylvester ultimately struck out for the United States on attractive force of American mathematics across the two separate occasions. Here he infused US mathematics twentieth century and the stultifying effects of nationalist with energy and ambition and founded the nation’s first insularity around the world. mathematical journal, the American Journal of Mathemat- Chinese mathematical immigration spanned the full ics, still a top journal today. century, building from a trickle to a rapid flow. In 1907 Later, turmoil in Europe completely reshaped American Teddy Roosevelt agreed to accept political reparation mathematics. Hitler rose to power in February 1933, and money from China for the bloody, anti-Christian, nativ- by April an order was issued purging Jewish citizens from ist Boxer Rebellion in the form of the Boxer Indemnity national service, which included university employment. Scholarship program: educational scholarships for Chi- In the months and years that followed, Jewish mathema- nese students to study in the United States. By the 1930s, Moon Duchin is associate professor of mathematics at Tufts Uni- Chern reports that this had become a natural place for the versity. Her e-mail address is [email protected] . best Chinese students to come, though he himself chose

682 NOTICES OF THE AMS VOLUME 64, NUMBER 7 Opinion

Europe for his studies and only came to the States when received a US PhD and 76 have permanent jobs here, where his mathematical isolation in postwar China caused him their research programs and their teaching and training to reach out for other options [3]. Chern returned contin- activities are fundamental elements of our continued ually to China in efforts to build up a strong tradition for mathematical excellence. mathematics, but his and many colleagues’ hopes were Generations of immigrants have made American mathe- dashed amidst the repression and anti-intellectualism of matics what it is today: a world-historical magnet for talent the Cultural Revolution, and the work had to be begun and innovation. Some people come to the United States anew in the 1980s. Meanwhile, a generation of Chinese fleeing authoritarianism and violence; others are simply mathematicians, most notably S.-T. Yau, had set up in the looking to a stable, open society for intellectual opportu- US and helped establish the pipeline of Chinese talent that nity. Not just immigration, but, more generally, mobility today accounts for more than one in ten students in the makes the scientific community stronger through col- top tier of American doctoral programs. laboration and intellectual exchange. The lessons of 150 The aftershocks of the 1917 Russian Revolution years teach us clearly that our mathematical leadership brought us refugees and other escapees who developed depends on our hard-won tradition of internationalism. pure and applied mathematics in the States, including Science withers in closed societies. Lefschetz, Tamarkin, Timoshenko, and Zariski. Later, it became difficult to leave the Soviet Union or even to References communicate freely with the outside mathematical world. [1] Lipman Bers, The migration of European mathematicians to Political efforts on behalf of Soviet colleagues grew in the America, A Century of Mathematics in America, Part I, Hist. US through the Cold War period. In the 1970s and 1980s Math., 1, Amer. Math. Soc., Providence, RI, 1988, pp. 231–243. MR1003172 came a vanguard of Soviet emigrants, including Bernstein, [2] George J. Borjas and Kirk B. Doran, The collapse of the Gromov (first to the US and later to France), Kazhdan, Rat- Soviet Union and the productivity of American mathemati- ner, Margulis, and Zelmanov, who were allowed to leave cians, The Quarterly Journal of Economics, 127 (2012) no. 3, the USSR under an ostensible policy of Jewish “repatria- 1143–1203. tion” that only gestured towards Israel. After the collapse [3] Allyn Jackson, Interview with Shiing Shen Chern, Notices of the Soviet Union in 1992, hundreds of mathematicians Amer. Math. Soc. 45 (1998), no. 7, 860–865. MR1633718 flooded from the Soviet bloc into other countries, many [4] Martin Andler, Who are the Invited Speakers at ICM 2014? of course coming to the United States. The effects were European Math Society Newsletter, no. 92, June 2014. dramatic: according to an AMS survey, immigrants from Photo Credit Eastern Europe and the former USSR made up 10%–13% of all new faculty hires in mathematics in 1991–92 [2]. Photo of Moon Duchin is courtesy of Tufts University. Iran has a storied mathematical tradition with ancient and medieval Persian antecedents, and the twentieth century saw the establishment of modern universities and renewed mathematical institutions. The 1979 Ira- ABOUT THE AUTHOR nian Revolution was devastating for intellectuals, with its own Cultural Revolution purging academics and keeping Moon Duchin is associate professor universities closed for years in the early 1980s. In mathe- of mathematics at Tufts University and serves as director of the Pro- matics Iran rebuilt a global profile with a key role played gram in Science, Technology, and by the International Mathematical Olympiad—Iran first Society. She is a member of the AMS formed a team in the mid-1980s and became a powerhouse Committee on Human Rights of by the 1990s, winning outright in 1998. IMO credentials Mathematicians. and quietly relaxed US immigration rules have made it Moon Duchin possible for a steady stream of preeminent Iranian mathematicians to come to the States for graduate study since the 1990s, including leading young figures in geometric topology, algebraic geometry, ergodic theory, number theory, dynamics, and many other fields. This wave included Maryam Mirzakhani—first as a graduate student, then a postdoc, and now a professor and one of two American immigrants to receive Fields Medals in 2014. To quantify the global draw of United States mathematics, consider a recent demographic analysis of one of the field’s top midcareer honors, a speaking invitation at the International Congress of Mathematicians. Martin Andler conducted a study of the global displacements of the 206 mathematicians so honored at the 2014 ICM in Seoul [4]; his report confirms the leading position of US mathematics and the vital role of immigration. Only 26 of 206 speakers were born in the United States, but 85

AUGUST 2017 NOTICES OF THE AMS 683 THE MATHEMATICS OF GRAVITATIONAL WAVES Courtesy of LIGO/T. Pyle.

This illustration shows the merger of two black holes and the gravitational waves that ripple outward as the black holes spiral toward each other. The black holes—which represent those detected by LIGO on December 26, 2015— were 14 and 8 times the mass of the sun, until they merged, forming a single black hole 21 times the mass of the sun. In reality, the area near the black holes would appear highly warped, and the gravitational waves would be difficult to see directly.

A Two-Part Feature Part Two: Gravitational Waves and Their Mathematics Introduction by Christina Sormani by Lydia Bieri, David Garfinkle, and p 685 Nicolás Yunes Part One: How the Green Light Was p 693 Given for Gravitational Wave Research by C. Denson Hill and Paweł Nurowski p 686 Introduction by Christina Sormani Our second article, by Lydia Bieri, David Garfinkle, and Nicolás Yunes, describes the mathematics behind The Mathematics of Gravitational Waves gravitational waves in more detail, beginning with A little over a hundred years ago, Albert Einstein a description of the geometry of spacetime. They predicted the existence of gravitational waves as a discuss Choquet-Bruhat’s famous 1952 proof of ex- possible consequence of his theory of general relativ- istence of solutions to the Einstein equations given ity. Two years ago, these waves were first detected Cauchy data. They then proceed to the groundbreak- by LIGO. In this issue of Notices we focus on the ing work of Christodoulou-Klainerman and a descrip- mathematics behind this profound discovery. tion of the theory behind gravitational radiation: the Einstein’s prediction of gravitational waves was radiation of energy in the form of gravitational waves. based upon a linearization of his gravitational field Numerical methods are used to predict the gravi- equations, and he did not believe they existed as tational waves emanating from specific cosmological solutions to the original nonlinear system of equa- events like the collision of black holes. Starting in tions. It was not until the 1950s that the mathemat- Section 4 of their article, Bieri et al. describe these ics behind Einstein’s gravitational field equations numerical methods beginning with linearized theory was understood well enough even to define a wave and the post-Newtonian approximation first devel- solution. Robinson and Trautman produced the first oped by Einstein. They then describe the inward family of explicit wave solutions to Einstein’s non- spiraling (as on the cover of this issue) of two black linear equations in 1962. Our first article, written by holes coming together and the resulting waves that C. Denson Hill and Paweł Nurowski, describes this occur as the black holes merge into one. They close story of how the theoretical existence of gravitational with a description of the LIGO detector and how its waves was determined. measurements corroborated the predictions of the numerical teams. Ultimately the LIGO detection of Christina Sormani is a Notices editor. Her e-mail address is gravitational waves not only validated Einstein’s [email protected]. theory of general relativity, but also the work of the For permission to reprint this article, please contact: many mathematicians who contributed to an under- [email protected]. standing of this theory. DOI: http://dx.doi.org/10.1090/noti1551

! ! !

! !

! ! ! ! !

A MERICAN M ATHEMATICAL S OCIETY

AWM–AMS Noether Lecture

Te Association for Women in Mathematics (AWM) established the Emmy Noether Lectures in 1980 to honor women who have made fundamental and sustained contributions to the mathematical sciences. In April 2013 this one-hour expository lecture was renamed the AWM–AMS Noether Lecture. Te frst jointly sponsored lecture was held in January 2015 at the Joint Mathematics Meetings (JMM) in San Antonio, Texas. Emmy Noether was one of the great mathematicians of her time, someone who worked and struggled for what she loved and believed in. Her life and work remain a tremendous inspiration.

Te mathematicians who have given the Noether Lectures in the recent past include: Lisa Jefrey, Karen Smith, Wen-Ching Winnie Li, Georgia Benkart, Raman Parimala, and Barbara Keyftz. Additional past Noether lecturers can be found at https://sites. google.com/site/awmmath/programs/noether-lectures/ noether-lecturers.

Te letter of nomination should include a one-page outline of the nominee’s contribution to mathematics, giving four of her most important papers and other relevant information. Nominations must be submitted by October 15, 2017, and will be held active for three years.

Te nomination procedure is described here: https://www.sites. google.com/site/awmmath/programs/noether-lectures.

If you have questions, call 703-934-0163 or email [email protected]. CALL NOMINATIONS FOR OPINION Post-Quantum Cryptography—A New Opportunity and Challenge for the Mathematics Community Jintai Ding and Daniel Smith-Tone

Note: The opinions expressed here are not necessarily those of Notices. Responses on the Notices webpage are invited.

Over the past three decades, the family of public-key In August 2015 the National Security Agency published cryptosystems, a fundamental breakthrough in modern a webpage announcing preliminary plans for transi- cryptography in the late 1970s, has become an increas- tioning to quantum-resistant algorithms (www.iad.gov ingly integral part of our communication networks. The /iad/programs/iad-initiatives/cnsa-suite.cfm). Internet, as well as other communication systems, relies In December 2016 the National Institute of Standards principally on the Diffie-Hellman key exchange, RSA and Technology (NIST) announced a call for proposals for quantum-resistant algorithms with a deadline of 30 encryption, and digital signatures using DSA, ECDSA, or November 2017 (www.nist.gov/pqcrypto). The effort related algorithms. The security of these cryptosystems to develop quantum-resistant technologies, and in partic- depends on the difficulty of certain number-theoretic ular post-quantum cryptosystems, is becoming a central problems, such as integer factorization or the discrete research area in information security. log problem. In 1994 Peter Shor showed that quantum Current research in post-quantum cryptography is computers can solve each of these problems in polynomial based on state-of-the- time, thus rendering the security of all cryptosystems art computational based on such assumptions impotent. techniques such as al- A large international community has emerged to ad- gorithms in algebraic ge- Even the dress this issue in the hope that our public-key infrastruc- ometry, coding theory, Riemann ture may remain intact by utilizing new quantum-resistant and lattice theory. The primitives. In the academic world, this new science bears mathematics utilized hypothesis is in PQC is diverse and the moniker Post-Quantum Cryptography (PQC). sophisticated, including often used to Jintai Ding is professor of mathematical sciences at the University representation theory, of Cincinnati. His e-mail address is [email protected]. harmonic analysis, math- deal with critical Daniel Smith-Tone is professor of mathematics at the Univer- ematical physics, alge- sity of Louisville and a research mathematician at the National braic number theory, lat- problems in Institute of Standards and Technology. His e-mail address is tice theory, and algebraic complexity [email protected]. geometry. Even the Rie- For permission to reprint this article, please contact: mann hypothesis is often analysis. [email protected]. used to deal with critical DOI: http://dx.doi.org/10.1090/noti1546 problems in complexity

AUGUST 2017 NOTICES OF THE AMS 709 Opinion analysis. Yet this is a relatively new field, and many new can have a profound impact on our society and also affect challenging mathematical problems have arisen. Some of the development of mathematics itself. the major research avenues currently being probed include lattice reduction, algebraic attack complexity, differential symmetry, and quantum information theory. EDITOR’S NOTE. Is a quantum computer actually feasi- The research required to develop and analyze a new ble? See “The Quantum Computer Puzzle” by Gil Kalai quantum-resistant cryptographic standard for NIST brings in the May 2016 issue of the Notices. a great opportunity for the mathematical community. We need to fully understand the mathematical structures behind those systems and refine the theory, which will enable us to design the best possible PQC algorithms for ABOUT THE AUTHORS the next generation of security standards. The research Jintai Ding received the ZhongJia- in this area will serve as a great forum to introduce those Qing Mathematics Award from the critical mathematical questions to a broader mathemat- Chinese Mathematical Society in ical audience to bring new stimulus to their theoretical 1990. He and his colleagues devel- development. oped the Rainbow signature, the GUI Cybersecurity is considered one of the most important HFEV-signature, the Simple Matrix aspects of our information technology-based society. encryption, and the LWE-based key In light of the threat that quantum computers pose to exchange schemes. Jintai Ding cryptosystems such as RSA and ECC, the development of post-quantum cryptography is expected to help build secure and efficient alternatives for the post-quantum Daniel Smith-Tone’s interests in- computer world. The success of the NIST standards will clude the development of algebraic, combinatorial, differential, and not only have very significant applications in industry probabilistic techniques in symmet- but also a broad impact on theoretical mathematics and ric and asymmetric cryptography. computation. By now many mathematicians around the His current focus is post-quantum world have made fundamental contributions in this area. cryptography, to which he has con- However, the broad mathematical community seems un- tributed new tools in provable secu- aware of this unique opportunity to combine our exper- rity and cryptanalysis. tise and skills to tackle some of the critical mathematical problems in post-quantum cryptography, where our work Daniel Smith-Tone

Twenty Years Ago in the Notices

August 1997: Review of Noncommutative Geometry by Alain Connes, reviewed by Vaughan Jones and Henri Moscovici. This article discusses Alain Connes's visionary 1994 book Noncommutative Geometry. Appearing in the same issue, www.ams.org/notices/199707/jones.pdf, “Noncommutative Geometry,” by Andrew Lesniewski, emphasizes the physics aspects of the subject. Both articles aim to introduce non-experts to the main ideas of the subject, explaining what the word “noncommutative” means in this context, how Connes's revolutionary ideas are related to previous mathematical work, and how they connect to physics. Lesniewski wrote that Noncommutative Ge- ometry is “one of the milestones of mathematics. It lays the foundations of a new branch of mathematics whose importance is difficult to overestimate. Its impact will be felt by generations of mathematicians to come, the way Riemann's Über die Hypothesen influenced the development of differential geometry.”

71 NOTICES OF THE AMS VOLUME 64, NUMBER 7 American Mathematical Society

FROM THE AMS SECRETARY

ATTENTION ALL AMS MEMBERS

Voting Information for 2017 AMS Election

AMS members who have chosen to vote online will receive an email message on or shortly after August 21, 2017, from the AMS Election Coordinator, Survey ! Ballot Systems.

The From Line will be “AMS Election Coordinator”, the Sender email address will be [email protected], and the Subject Line will be “AMS 2017 Election—login information below”. If you use a spam filter you may want to use the above address or subject information to configure your spam filter to ensure this email will be delivered to you.

The body of the message will provide your unique voting login information and the address (URL) of the voting website.

AMS members who have chosen to vote by paper should expect to receive their ballot by the middle of September. Unique voting login information will be printed on the ballot, should you wish to vote online.

At midnight (US Eastern Time) on November 3, 2017, the website will stop accepting votes. Paper ballots received after this date will not be counted.

Additional information regarding the 2017 AMS Election is available on the AMS website: www.ams.org/election-info or by contacting the AMS: [email protected], 800-321-4267 (US ! Canada), 401-455-4033 (worldwide).

Thank you and . . . please remember to vote.

Carla D. Savage COMMUNICATION

The Global Math Project: Uplifting Mathematics for All

James Tanton and Brianna Donaldson

Communicated by Ben Braun

Why Not Do the Same for Math? ABSTRACT. The Global Math Project aims to connect millions of students around the world through a shared There is one substantial challenge, and it’s a perception experience of mathematics. For the past year a leader- issue. For many cultures, the idea of signing up for an ex- ship team of seven math professionals, together with a tracurricular hour of math, as opposed to programming, worldwide network of ambassadors and partners, has is decidedly unappealing. been laying the groundwork for the inaugural Global On the other hand, students Math Week, which will launch on 10.10.2017. all across the globe are already Let’s foster engaged in mathematics four or five times a week each and every a global Here is a bold and audacious idea: let’s generate a fun- school week. We can reach mil- damental paradigm shift as to how the world perceives lions of students by reaching conversation and enjoys mathematics. Can each and every person on out to just tens of thousands this planet come to see mathematics as human, relevant, of teachers, homeschool lead- about joyous meaningful, creative, uplifting, and joyful? Can the play ers, math club and math circle mathematics! and wonder of mathematics transcend borders and truly leaders, and the like. So why not unite communities? declare a special week of each year as Global Math Week and Welcome to the Global Math Project ask educators to share with their students one engaging The vision just outlined is not without precedent. In 2013 and astonishingly thrilling piece of mathematics sometime the organization code.org set out to bring computer cod- that week? Let’s have students and teachers share their ing to students all across the globe. For one special week reactions, thoughts, and ideas with comments, videos, that year, millions of students took part in their Hour of or photos posted on social media. Let’s foster a global Code program, each enjoying some activity—be it a rele- conversation about joyous mathematics! vant pencil and paper exercise or an advanced interactive Enter the Global Math Project online computing experience—that teaches an aspect of For the past year a leadership team of seven math profes- coding. The program has been going strong ever since then sionals has been laying the groundwork to turn the week and has now reached over a quarter of a billion students. starting 10.10.2017 into the inaugural Global Math Week (see box on page 715). We believe that the following ingre- James Tanton is the Mathematical Association of America’s mathe- dients are key to the success of Global Math Week 2017: matician-at-large. His e-mail address is [email protected]. •a compelling topic, Brianna Donaldson is director of special projects at American Insti- •appealing and accessible resources for engagement, tute of Mathematics. Her e-mail address is [email protected]. •a global network of ambassadors committed to For permission to reprint this article, please contact: spreading the word, and [email protected]. •partner organizations that support project activities DOI: http://dx.doi.org/10.1090/noti1547 through financial and in-kind donations.

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Below we describe how these ingredients will combine to mathematics of high school algebra and precalculus, and create an enthralling global experience of mathematics. elements of undergraduate work such as discovering the generating function of the Fibonacci numbers or exploring A Compelling Topic: Exploding Dots the 10-adic representation of negative one. Fundamental to the success of Global Math Week is pre- Exploding Dots is typically introduced by exploring a senting a mathematical experience that is directly relevant 1!2 machine, which consists of a row of boxes, extending to the standard school content to show that even elemen- as far to the left as one pleases. To operate this machine, tary school topics serve as portals to universes of wonder one places a number of dots in the rightmost box, which and delight. We want to show how math, as one youngster the machine then redistributes according to the following recently put it, is “continuous”1 and keeps inviting further rule: Two dots in any one box are erased (they “explode”— exploration. The mathematics topic should transcend lan- kapow!) to be replaced with one dot located one box to their guage and the details of any particular curriculum while at left. For instance, placing six dots into a 1!2 machine the same time fostering an appreciation of fundamental yields four explosions, with a final distribution of dots math concepts. It should fit naturally into any classroom. that can be read as “1 1 0.” See Figure 1. The team has identified several mathematical storylines that will serve well and have settled on presenting one in particular, Exploding Dots, as the topic for the inaugural experience: Here is a story that isn’t true.

When I was a child I invented a machine (not true) that was nothing more than a series of boxes that could hold dots. And these dots would, upon certain actions, explode. And with this machine, in this nontrue story, I realized I could explain true things! In one fell swoop I explained all the mathematics of arithmetic I learned in grade school (true), all of the polynomial algebra I was to learn in high school (true), elements of calculus and number theory (true)—and also begin to explore unanswered Figure 1: Placing six dots into a 1!2 machine yields research questions intriguing mathematicians four explosions, with a final distribution of dots that still to this day (also true)! can be read as “1 1 0.”

Let me share this story with you. See how Of course, since one dot in a cell is deemed equivalent to simple and elegant ideas connect to profound two dots in the preceding cell, each cell is “worth” double ideas in mathematics as a whole. See how the cell to its right. If we deem the rightmost cell as the these ideas will completely revolutionize your units, then each cell of the machine corresponds to the thinking of school arithmetic and algebra and powers of two. Thirteen, for instance, equals 8 + 4 + 1, beyond! and the base-2 representation of 13 is 1101. See Figure 2. So begins the story of Exploding Dots, as developed in 2005 by Global Math Project founder James Tanton. Tan- ton drew inspiration from a “chip firing” model developed by German educationalist Arthur Engel in the 1970s to explain elementary probability to school students, as well as from mathematician James Propp’s efforts to popularize Engel’s work. Simple example configurations of Engel’s model match the workings of an abacus and illustrate the mechanics of place value, but in all types of bases. Math- ematicians have explored the ramifications of arithmetic in these fractional, negative, and irrational bases, and Figure 2: The 1!2 machine converts all numbers to open questions remain [1]. Tanton turned these abacus their binary representations. Thirteen, for instance, models back to reconnect them with the K–12 curriculum, equals 8 + 4 + 1, and the base-2 representation of 13 is in particular moving beyond just place value and arithme- 1101. tic of primary and middle school to the more advanced The 1!2 machine converts all numbers to their binary representations. In the same way, a 1!3 machine (three 1See video at https://www.youtube.com/watch?v= dots explode to make one dot to the left) gives the base-3 hB6bfw622fo

AUGUST 2017 NOTICES OF THE AMS 713 COMMUNICATION

could serve to improve the everyday connection with math for millions of students. A version of all the Exploding Dots content is currently available on the Web [1].

Appealing and Accessible Resources for Engagement Figure 3: Exploding Dots can explain the mathematics So, now we have our inaugural topic, but what will actually of grade school arithmetic and high school polynomial happen the week of 10.10.17? algebra. Beginning in April, we opened registration for teachers, math club and math circle leaders, and other educators representation of a number and a 1!10 machine the base- and math-outreach specialists who have committed to 10 representation. Taking it a step further, an abstract leading a one-hour experience of Exploding Dots during 1!x machine gives the polynomials of high school algebra. Global Math Week and to sharing that experience with the Exploding Dots is an extraordinary gateway to introduce world in some way, most typically through social media. the habits of mind for doing substantive mathematics—ex- Also in April we started revealing our new Exploding Dots ploring, discovering, and explaining pattern and structure, platform, so that educators can begin playing with the and then utilizing one’s newfound understanding for topic themselves and consult with our ever-growing list further exploration and discovery; of ambassadors if guidance is needed. developing perseverance in pursu- During Global Math Week itself, our website will serve ing questions and not settling for as a portal to multiple modalities of experiencing Explod- Exploding half-formed explanations; working ing Dots, ranging from low-technology to technology- with both the abstract and the con- Dots is both intensive alternatives. The low-technology experience will crete translation of the abstract; consist of downloadable pdfs with lesson plans for leading poetic and and engaging in a joyful intellectual pursuit. Exploding Dots is a discussion about Exploding Dots without any special- utilitarian. both poetic and utilitarian. It is a ized classroom technology (Tanton typically uses only a genuine blend of beautiful mathe- whiteboard). The more technology-intensive options will matics worthy of exploration for use an appealing user interface presented as a collection its own sake, just as mathematics is often described by of “islands” that each represent a particular Exploding mathematicians, and the practical learning of concrete Dots topic. Each island will contain three elements to skills for implementation and application. Mathematics experience: a short explanatory video, a teacher discus- is both things, and Exploding Dots is a prime means to sion guide, and an interactive Web applet. For those who demonstrate both sides of this beautiful coin. wish to delve deeper, additional materials will be freely Tanton has delivered workshops and lectures on this available on the Global Math Project website, created both topic to audiences all across the globe, and students, by the Global Math Project team as well as by interested teachers, and parents alike consistently describe it as members of the mathematical community. These materials “mind blowing.” In fact, the inspiration for Global Math will support further exploration of place value, arithmetic Week came from project co-founder Jill Diniz’s experience algorithms, negative numbers, alternative bases, polyno- with introducing Exploding Dots to her teenaged son: mials, formal infinite series, and more. … the next day he sent me a text during the The entire storyline of Exploding Dots, of course, can- school day which said, “Mom, I just showed not be completed in just a single class period, but our hope Exploding Dots to Sammy and Hunter, and we is that teachers and students will be inspired to explore were like, whoaaa, this blows my mind.” Then beyond the first few lessons and perhaps to incorporate later that evening he came to my room and aspects of the Exploding Dots lessons into their curricu- wanted to talk about just how mind blowing lum at other times during the year. Exploding Dots was, how it related even to what he was doing in AP calculus. A Global Network of Ambassadors A global network of volunteer ambassadors2 will play a She adds: vital role in spreading the word about the Global Math Proj- Soon thereafter, I sent a note to James and ect and ensuring access for teachers around the globe by: wanted to talk. I had recently become aware •posting about the Global Math Project on social of the Hour of Code project and was inspired media, to apply this idea to Exploding Dots. We just •assisting in forming partnerships with key teacher had to get every kid in the country—in the organizations around the world, world, even—doing Exploding Dots and doing •facilitating translation of Global Math Week content it roughly at the same time, creating a shared, mind-blowing experience of mathematics that 2https://www.theglobalmathproject.org/ambassadors

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•hosting webinars to help train •become an official Global Math teachers on the Exploding Dots Project Ambassador materials, and There is an •make a financial contribution to •organizing public events in their the project home locations. infinite universe Math departments might consider By the start of 2017, over 140 people of wondrous organizing training for local K–12 representing more than forty countries teachers who want to participate, or had already signed on as Global Math mathematics to hosting a public event during Global Project Ambassadors. That number has Math Week. since grown. explore. We have been in conversation with a What about Next Year? number of international mathematics Each year we plan to unveil a new Global educator societies who want to help spread the word, and Math Week topic with a wonderful, “mind-blowing” sto- we have received photographs and videos from teachers ryline deeply relevant to the school curriculum, while also and students all over the world who are already playing keeping previous Global Math Week topics accessible in with Exploding Dots and eager to share. perpetuity. So Global Math Week 2018 will invite students and teachers and math professionals from all across the Partner Organizations globe to try out a new second exciting topic or to experi- Global Math Project Partner Organizations3 make signif- ence Exploding Dots. And for 2019 a third topic will be icant contributions to the underlying structure of the added. And so on. project, for example, through developing online interfaces There is an infinite universe of wondrous mathematics and tools, translating materials, promoting Global Math to explore. Let’s help communities of folks across the Week to teachers and the public, hosting public events, globe experience and share this joy with one another. and providing financial support. The project is hosted by the American Institute of Mathematics (AIM), one of the Founding Members of the Global Math Project: National Science Foundation-supported mathematical •James Tanton, Mathematician-at-Large, Mathemat- science research institutes, whose mission is to advance ical Association of America (MAA) mathematics through collaborative problem solving. •Jill Diniz, Director of Mathematics Curriculum, Other founding partner organizations include: Great Minds •Great Minds, a nonprofit organization that offers •Cindy Lawrence, Executive Director, National content-rich curriculum and professional develop- Museum of Mathematics (MoMath) ment •Brianna Donaldson, Director of Special Projects, •Math Plus Academy, an after-school mathematics American Institute of Mathematics (AIM) enrichment program focused on problem solving •Derarca Lynch, mathematics instructor, New York •The National Museum of Mathematics, the nation’s University–Abu Dhabi only museum focused on math and its many •Raj Shah, founder and CEO, Math Plus Academy connections to the world around us •Travis Sperry, Director of Information Technology, •Scolab, a Canadian educational technology company Math Plus Academy Although we have yet to secure major funding, the project has generated much interest and significant in-kind Reference services from partner organizations. We are honored to [1] J. Tanton, Exploding Dots, Experience 9, gdaymath.com have these organizations publicly sharing their support for /courses/exploding-dots/. our efforts and welcome additional partner organizations.

How Can Mathematicians and Math Departments Get Involved? There are multiple ways that individual mathematicians ABOUT THE AUTHORS can become involved in the Global Math Project: James Tanton believes that math- •introduce Exploding Dots to your own students ematics really is accessible to all and to K–12 students and teachers with whom you and is committed to sharing the work, through outreach activities delight and the beauty of the subject •share information about the Global Math Project with through his books, online courses, K–12 colleagues and offer to help out when they and lectures. Currently the math- introduce Exploding Dots to their students ematician-at-large for the Mathe- •lead a public Global Math Week event for your matical Association of America, James Tanton community he conducts teacher and student workshops around the world.

3https://www.theglobalmathproject.org/partners

AUGUST 2017 NOTICES OF THE AMS 715 COMMUNICATION A MERICAN M ATHEMATICAL S OCIETY

Brianna Donaldson is director of special projects at the American Institute of Mathematics, where she works to broaden participation in mathematics and encourage collaboration through programs such as the Math Teachers’ Circle Network, Research Experiences for Under- FEATURED TITLES FROM graduate Faculty, and the Global Math Project. Brianna Donaldson

Photo Credit Photo of James Tanton is courtesy of the Mathematical Associ- HILBERT’S SEVENTH ation of America. PROBLEM Photo of Brianna Donaldson is courtesy of Brianna Donaldson. Solutions and Extensions Figures 1–3 are courtesy of James Tanton. Robert Tubbs, University of Colorado, Boulder, CO A8%+, 4=B)+%(%)*, %+, B6%9'6%$5, ', +"6C45, )-, (84, 4$494*('65, 54(, +"#($4, %**)D C'(%)*+, )-, +4C46'$, 9'(849'(%&%'*+, #4(744*, EF>F, '*/, EFGH, (8'(, $4/, (), B'6(%'$, '*/, (84*, &)9B$4(4, +)$"D (%)*+, (), .%$#46(I+, ;4C4*(8, !6)#$49, J-6)9, (84, K*(46*'(%)*'$, L)*364++, )-, :'(849'(%&%'*+,%*,!'6%+M,EF??N< Hindustan Book Agency; 2016; 94 pages; Softcover; ISBN: 978-93- 80250-82-3; List US$28; AMS members US$22.40; Order code HIN/72

THEORY OF SEMIGROUPS AND APPLICATIONS Kalyan B. Sinha, Jawaharlal Nehru Centre for Advanced Scientific Movie Review : “Gifted” Research, Bangladore, India, and Sachi Srivastava, University of Delhi South Gifted (2017) is a sweet movie about Mary, a math- Campus, New Delhi, India ematical prodigy, raised by her uncle. Her mother L)9#%*%*3, (84, +B%6%(, )-, ', (4=(#))1, 7%(8,(8'(,)-,',9)*)36'B8,)*,(84,()B%&, was apparently close to solving the Navier-Stokes )-, +49%36)"B+, '*/, (84%6, 'BB$%&'(%)*+M, (8%+,#))1,7%$$,'BB4'$,(),64'/46+,%*(46D million-dollar millennium problem before she 4+(4/,%*,)B46'()6,(84)65M,B'6(%'$,/%--464*(%'$,4O"'(%)*+M,8'69)*%&, committed suicide. Mary amazes her first-grade '*'$5+%+M, B6)#'#%$%(5, '*/, +('(%+(%&+M, '*/, &$'++%&'$, '*/, O"'*("9, 94&8'*%&+< teacher by computing 57×135 in her head. Her Hindustan Book Agency; 2017; 180 pages; Hardcover; ISBN: 978-93- ambitious grandmother takes her to MIT, where 86279-63-7; List US$38; AMS members US$30.40; Order code HIN/73 she is challenged to compute

∞ −x2/2σ2 dx. ∫−∞e VIEW MORE TITLES AT Later she attends a lecture on Ramanujan BOOKSTORE.AMS.ORG/HIN

and partition functions by a professor played by !"#$%&'(%)*+,)-,.%*/"+('*,0))1,234*&5,'64,/%+(6%#"(4/,7%(8%*,(84,2946%&'+,#5,(84, mathematician Jordan Ellenberg.1 I won’t spoil 2946%&'*,:'(849'(%&'$,;)&%4(5<,:'=%9"9,/%+&)"*(,)-,>?@,-)6,&)9946&%'$,&8'**4$+< the surprise ending. —Frank Morgan

1See the the interview of Ellenberg in this issue of No- tices (page 7 ).

716 NOTICES OF THE AMS VOLUME 64, NUMBER 7 AMERICAN MATHEMATICAL SOCIETY

AMS Grad Student Travel Grants

Now providing support for doctoral student travel to the January Joint Mathematics Meetings or the AMS Sectional Meetings

• Listen to talks • Meet active researchers • Learn about professional issues and resources • Make new professional connections • Reconnect with colleagues

Check program announcements, eligibility requirements, and learn more at: www.ams.org/student-travel THE GRADUATE STUDENT SECTION

Karen E. Smith Interview Conducted by Laure Flapan

Communicated by Alexander Diaz-Lopez

Flapan: When and how did you know you wanted to be a mathematician? Growing up, Smith: That is an interest- I didn't know ing question. I definitely enjoyed math from a young age. anyone with a As early as middle school I played with different math- PhD. ematical ideas on my own and read math books. For example, in seventh grade I devoured a book about the Fibonacci numbers, which I reread multiple times over the years (I wish I could remember the name!). However, I was perhaps in my fourth year of graduate school before I really began to seriously consider “mathematician” as a career option. You see, I never really knew that mathematician was a career at all! My parents encouraged me to study engineering in college and were disappointed when I switched my major to math, fearing I would be unemployable. I switched because I loved my freshman calculus class out of Spivak’s Calculus book, especially solving the problems for the final take-home exam. I guess I was stubborn and Karen E. Smith is Keeler Professor of Mathematics impractical enough to ignore their advice. at the University of Michigan. Recipient of the 2001 Growing up, I didn’t know anyone with a PhD. Mentor- AMS Ruth Lyttle Satter Prize, Smith is interested in ing undergraduates was not something most Princeton commutative algebra and algebraic geometry. She is a professors did, at least not mentoring me. So, upon co-author of An Invitation to Algebraic Geometry. Her graduation, I landed a job as a high school math teacher. e-mail address is [email protected]. Continuing my education never occurred to me. For start- ers, I was eager to pay off my student loans, and I had EDITOR’S NOTE. Karen E. Smith’s article “Noether’s no idea that “graduate student” was sort of a job itself. Legacy: Rings in Geometry” appeared in Notices, Janu- First-year high school teaching is extremely difficult, and ary 2016, www.ams.org/notices/201601/rnoti-p7 I was in a miserable school district with little support. I .pdf. soon resolved to do something else. By a stroke of luck, I bumped into one of my peers from college, who men- For permission to reprint this article, please contact: tioned that he was getting paid to be a student in a math [email protected]. PhD program! This was an amazing revelation for me! I DOI: http://dx.doi.org/10.1090/noti1544 applied immediately.

718 NOTICES OF THE AMS VOLUME 64, NUMBER 7 THE GRADUATE STUDENT SECTION

Cambridge, especially my friend Sándor Kovács. He introduced me to János Kollár, who asked me on the spot, at the Santa Cruz algebraic geometry conference in 1995, if I could give a talk the next day. The conversations that followed that talk were critical to my research development. As a faculty member, I have always been grateful to Bill Fulton, who still often encourages me by having seemingly tremendous faith in me. But by far the most important encouragement came from my late husband, Juha Heinonen. His unflagging but Karen E. Smith (second from right) with current and breezy belief in me made a huge difference. Although he former students Robert Walker (Ford Foundation died ten years ago, I can still hear him say, “If not you, Fellow), Sarah Mayes (assistant professor at the then who?” University of Toronto), and Will Traves (chair of the US Flapan: How would you describe your research to a Naval Academy math department). graduate student? I was thrilled to be a TA at Michigan, where I earned Smith: I study commutative algebra, mostly motivated more to teach one class and study math than I earned by problems in algebraic geometry. One of my favorite teaching five high school classes! For me, grad school was tools is the Frobenius or pth power map, which can be a terrific job. I never envisioned myself actually writing iterated, for example, to show that certain cohomology a PhD; I simply enjoyed studying and teaching college classes must be trivial on certain varieties. These methods students. It wasn’t until I started getting attention for can be used to prove theorems about varieties defined over proving new results that I began to dream about being a the complex numbers by reduction to prime characteristic. professional mathematician. My favorite kinds of problems are those rich in interest- Flapan: Who encouraged or inspired you? ing examples that connect different types of mathematics. 1 Smith: My seventh-grade math teacher, Mr. Eckert, For example, I have recently played with cluster algebras taught me modular arithmetic and gave me challeng- (highly combinatorial objects defined by Sergey Fomin and ing problems to explore on my own. I think this is my Andrei Zelevinsky) by reducing to characteristic p to prove earliest memory of “doing math” in the sense of playing, theorems about the structure of the varieties they define. experimenting, conjecturing. Likewise, my twelfth-grade This is joint work with my postdocs Angelica Benito, Greg calculus teacher, Mr. Driscoll, offered an extra math class Muller, and Jenna Rajchgot. on number theory using Underwood Dudley’s book. I Flapan: What theorem are you most proud of and what loved that book as well! His take-home exam gave me my was the most important idea that led to this breakthrough? first taste of the satisfaction of solving a hard problem Smith: I am not sure I have a clear favorite among my after suffering over it a week. These two teachers really theorems. I was excited to prove that the test ideal (a no- nurtured my love for math. tion from characteristic p commutative algebra of impor- In college, no one particularly encouraged me, and a tance in Hochster and Huneke’s theory of tight closure) few actively discouraged me. One exception was Charlie and the multiplier ideal (a notion from complex birational Fefferman, my freshman calculus teacher, who expressed algebraic geometry) are essentially the same—that is, surprise that I was an engineering student despite being the multiplier ideal “reduces modulo p” to the test ideal “so good at math.” This remark, in a brief but obviously for every sufficiently large prime p. This type of result influential conversation, was enough to make me switch spawned a great deal of research into the connections majors. Other professors inspired me, especially Nick between these two fields, which continues today. I can’t Katz. His homework sets were terrific, with a coherent keep up with it all myself! set of exercises leading us to discover and develop nice Another project that was especially fruitful was with chunks of mathematics on our own. I still remember one Rob Lazarsfeld and Lawrence Ein: we found some applica- on p-adic numbers. I emulate Katz’s teaching today in my tions of multiplier ideals—or more accurately, an asymp- own classes; ask my students about my “worksheets.” totic version of them—to some problems in commutative In graduate school, on the other hand, I did feel actively algebra, including a surprising comparison theorem for encouraged. Carolyn Dean, an assistant professor and symbolic and ordinary powers of ideals in a regular ring. the only female faculty member, took me out to lunch The third paper in that series, on an application to under- to chat several times my first year. Small things, like the standing valuation ideals, required resolution of singulari- fact that our department chair occasionally asked me how ties for an Abhyankar valuation. my classes were going, had a big impact. I was lucky to Perhaps the theorem I am most pleased with at this stumble into Mel Hochster’s commutative algebra course. moment is one with Michel Van den Bergh on the structure Mel was enthusiastic and encouraging and eventually be- of the ring of differential operators on rings of invariants came my thesis advisor. He has been a fantastic advisor and mentor ever since. 1See “What is a cluster algebra?” by Andrei Zelevinsky, Notices, As a postdoc, I learned a tremendous amount of alge- December 2007, www.ams.org/notices/200711/tx071101494p braic geometry from young mathematicians in Boston/ .pdf.

AUGUST 2017 NOTICES OF THE AMS 719 THE GRADUATE STUDENT SECTION in characteristic p: we found some con- careers. Take it all in carefully, but much ditions on a ring in prime characteristic will be contradictory, so sort out what that guarantee its ring of differential Rarely does feels right and best for you. operators is simple. The idea of “finite anything You can soothe a lot of anxiety by F-representation type,” which we intro- helping others. So instead of looking duced in that paper, is arising again in a understood deeply around your graduate program and project on “noncommutative resolutions worrying about how many students are of singularities” right now with my post- turn out to “better” than you, why not look around docs Eleonore Faber and Greg Muller. for someone you can help pull up? Flapan: Do you think your approach be useless. Flapan: If you could recommend one to or style of mathematics has changed book or lecture to graduate students, with time? If so, how? what would it be? Smith: Perhaps now I am less interested in solving Smith: Shafarevich’s Basic Notions in Algebra is one of every aspect of a problem and more interested in solving my favorites. I also thought that Manjul Bhargava gave the big main cases while leaving some harder technical the best colloquium talk I’ve ever seen at the Seoul ICM 2 generalizations for others. I would rather find some new in 2014. You can watch it online. interesting phenomenon or surprising new connection, Photo Credit say, in polynomial rings and then move on to something completely different rather than spend a long time gener- Photo of Karen E. Smith is ©Eric Bronson, Michigan Photography. Photo of Karen E. Smith and students is courtesy of Karen E. alizing the result to arbitrary regular rings, say. Smith. I have also come in and out of different interests—for Photo of Laure Flapan is courtesy of Simons Center for Geometry a while I wanted nothing to do with prime characteristic, and Physics. but I have since come back. For sure, I am now a much better expositor of mathematics. Sometimes I cringe to read my earlier papers. Flapan: All mathematicians feel discouraged occasion- ABOUT THE INTERVIEWER ally. How do you deal with discouragement? Smith: I take a break—the length depends on the magni- Laure Flapan just completed her tude of the discouragement—and eventually just get right PhD in algebraic geometry from the back up. Life and math go on. It is important to make a University of California, Los Angeles habit of putting in the time. Eventually all those calcula- and is headed to a postdoc at North- tions—all the blood, sweat, and tears—pay off. I know eastern University in the fall of 2017. that younger mathematicians often have a harder time Her work is in algebraic geometry, believing that the payoff is coming, but after many disap- particularly Hodge theory. pointments I can assure you, it is. Rarely does anything Laure Flapan understood deeply turn out to be useless, even though it may not serve the purpose you had hoped. Flapan: What is something people might be surprised to learn about you? Smith: I had many jobs before mathematician, including lifeguard, hotel maid, deli meat slicer, computer parts recycling factory worker, pizza delivery person, SAT prep course instructor, and high school teacher. Of course, I had a few more typical jobs as well, such as babysitter, math tutor, and camp counselor. I went to a fancy college, but I have more modest working class roots. I know how to hustle to make a buck! Flapan: What advice do you have for current graduate students in math? Smith: Start where you are at, and don’t compare yourself to others. Work hard, get help, and stay on the path. Sometimes you will fail. That’s OK. Enjoy what you are doing now, and don’t forget to play, mathematically and otherwise. Do lots of calculations and examples, be curious, be solid on the basics. Also, remember to take care of yourself. Take one day a week off work. Sleep well and exercise. Have a social life. Find advice and mentoring from many different people 2 at different places in their careers and even in different https://www.youtube.com/watch?v=Vx-4MUKCMPg.

720 NOTICES OF THE AMS VOLUME 64, NUMBER 7 A MERICAN M ATHEMATICAL S OCIETY Your donation to the AMS CENTENNIAL FELLOWSHIP FUND advances mathematics for many. Recipients of this one-year mathematics research fellowship have contributed substantially to their areas of research, furthering the mathematical sciences.

0('1%!2345/!)!-1$#*)6-!$)7%!8%%'!)8*%!"#! 9:6"$%6!"$%(6!)6%)!#9!6%-%)61$!,("$!$%*.!96#;! 2017–2018 Centennial Fellowship recipient — "$%!&%'"%''()*!+%**#,-$(.!<9#6;%6*=!');%>! Shuichiro Takeda ?%-%)61$!+%**#,-$(.@A Associate Professor of !"#$% Mathematics at University of Missouri. Research interests &"#'( include automorphic forms )"#*'

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MathSciNet, the authoritative gateway to the scholarly literature of mathematics. T e database contains information on more 1 than 3 million articles and books and includes expert reviews, personalizable author profi les, and extensive citation information. Authors Customize your author profi le today with your 2 3 photo, email, and a link to your homepage Your profi le also includes:

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Go to www.ams.org/mathscinet/help/about.html to get started. Doctoral Degrees Conferred 2015–2016

ALABAMA University of Alabama at Walker, Michael,Reduced-biasprediction Birmingham (7) regions and estimators of the original Auburn University (8) response when using data transforma- Department of Biostatistics tions Department of Mathematics and Dawson, Erica L,Performanceofordinary Statistics least squares and heteroskedasticity ARIZONA consistent covariance matrix estimators Aust, Jennifer,Boundedcompleteembed- in heteroskedastic analysis of covari- Arizona State ding graphs ance models University (16) Bertl, Alan,Techniquesforfindinghome- Jones, Lindsay,Statisticalmethodology omorphisms between generalized in- to improve the understanding of DNA School of Human Evolution and verse limits methylation data Social Change Byaly, Alexander,Generalizedmatrix Kim, Hwasoon,Evaluationofsample Barley, Kamal,Parameterestimation functions size re-estimation procedures for non- and mathematical modeling of visceral inferiority designs with time-to-event Leishmaniasis Erzurumluoglu, Aras,Fairfactorizations outcomes Evangelista, Arlene,Characterizationof and fair holey factorizations of the Malick, Himel,Somecontributionsto the Mathematical Theoretical Biology complete multipartite graph and related Institute as a Vygotkian-Holzman zone edge-colorings Bayesian regularization methods with applications to genetics and clinical of proximal development Lilly, Kristen,Robustgroupvariablese- trials Gonzalez, Beverly,Quantitativemodeling lection methods methods for analyzing clinical to public Nwaeze, Eze,Locationofzerosand Department of Mathematics health problems growth of polynomials Alawam, Fatin,Subsurfaceparameter Morales, Romarie,Robustnessofcon- tact and age-aggregation in influenza Pannu, Jasdeep,Robustvariableselec- estimation in oilfield modeling models tion methods for functional regression Barry, Brandon,Onthesimplestlamina- models tion of a given identity return triangle Murillo, Anarina,Type2Diabetesand obesity: A biological, behavioral and Besing, Kyle,Spectralpropertiesand Sarver, Zachary,Extensionsofmono- environmental context tonicity results to semisimple Lie localization of two random Laplacians on graphs Smith, Adrian,Biophysicalmechanism groups for correlated spiking: Relating neural University of syncrony and common excitatory drive University of Alabama (6) Summer, Ilyssa,Oncolyticviralandim- Alabama—Huntsville (2) munotheraphy models combined with Department of Mathematics Department of Mathematical strategies to ameliorate cancer burden Acharyya, Soumyadip,Adifferenceof Sciences School of Mathematical and composition operators on Bergman He, Yunzhu,Waveletestimatorsinnon- Statistical Sciences space parametric regression model and simu- Denker, Dennis,High-ordermethodsex- Alli, Toyin,Statisticalnetworkswith lation study ploiting sparsity with applications in applications in economics and finance Marples, Pamela,Graphsharingparame- imaging and PDEs Chataut, Laxmi,Groupswithconditions ters Evilsizor, Stephen,Evolutionarygamesas on non-permutable subgroups interacting particle systems University of Ilkturk, Utku,Observabilitymethodsin Duffee, Linden,Ontheharmonicand sensor scheduling geometric maximal operators Alabama—Tuscaloosa (2) Marfai, Frank,Characterizingteacher Information Systems, Statistics, and Nguyen, Duc,HighorderFDTDmethods change through the perturbation of for electromagnetic systems in disper- Management Science Department pedagogical goals sive inhomogeneous media Michael, Semhar,Thedevelopmentof Morgan, Adam,Cuntz-Pimsneralgebras Perry, Kaitlyn,Polydegreepropertiesof diagnostic tools for mixture modeling of twisted tensor products of corre- polynomial automorphisms and model-based clustering spondences and other constructions

The above list contains the names and thesis titles of recipients of contains the name of the recipient and the thesis title. The number doctoral degrees in the mathematical sciences (July 1, 2015, to June 30, in parentheses following the name of the university is the number of 2016) reported in the 2017 Annual SurveyoftheMathematicalSciences degrees listed for that university. by 266 departments in 195 universities in the United States. Each entry

AUGUST 2017 NOTICES OF THE AMS 727 Doctoral Degrees Conferred

Tallman, Michael,Anexaminationofthe Thomas, Emily,ThemaximalThurston- Liu, Chen, Monte Carlo algorithms for effect of a secondary teacher’s image of Bennequin number on grid number n American option pricing: An analysis instructional constraints on his enacted diagrams of convergence rates and the applica- subject matter knowledge Thomas, Ryan,Effectsofdynamicgraph- tion of backward Taylor expansion on Thatcher, Andrea,Swarminginbounded ing utilities on student attitudes and variance reduction techniques domains conceptual understanding in college Michal, Matthew,Analyticandnumerical Wienke, Matthew,Anaggregatesecond algebra analysis of lubrication coating flow order continuum model for transient models production planning Schuster, Micah,Systematicinvestigation Yu, Wanchunzi,Atestandconfidenceset CALIFORNIA of operators in nuclear systems for comparing the location of quadratic Taherian, Shahab, Computational fluid growth curves California Institute of dynamics analyses of ambient particle deposition in the human respiratory (6) University of Arizona (8) Technology system and virus transport aboard a regional aircraft Department of Mathematics Department of Computing and Mathematical Sciences Turtle, James,Synchronizationincou- Chavez, Angel,Werner’smeasureonself- pled spin-torque nano oscillators: Non- avoiding loops and representations of Akhmetgaliyev, Eldar,Fastnumerical linear dynamics analysis the Virasoro algebra methods for mixed, singular Helmholtz Wilson, Mark,Structureandrheological Henniges, Alex,Kisin-Renclassifications boundary value problems and Laplace properties of self-associating polymer of pi-divisible O-modules via the Dieu- eigenvalue problems networks donnécrystal Zhao, Peng,Novelrandomforestmeth- Department of Mathematics Thomas, Joseph,Conformalvariationsof ods applied to medical studies piecewise constant curvature two and Hwang, Brian,Constructingself-dualau- Zubairi, Omair,Aninvestigationofde- three manifolds tomorphic representations on general formation of the stellar structure of linear groups neutron stars Program in Applied Mathematics Nastasescu, Maria,NonvanishingofL- (19) Armstrong (Hine), Michelle,Afiniteel- functions for GL(n) Stanford University ement model for mixed porohyper- Ni, Xiang,Rota-Baxteralgebras,renor- Department of Mathematics elasticity with transport, swelling, and malization on Kausz compactifications growth Ahuja, Saran,Meanfieldgameswith and replicating of binary operads common noise Berman, Benjamin,Acceleratedradial Sinha, Gaurav,Black-boxreconstruction Boreico, Iurie,Statisticsofrandominte- magnetic resonance imaging: New ap- of depth three circuits with top fan-in gral matrices plication and methods two Chodosh, Otis,Thegeometryofasymp- Holman, Benjamin,Analyticalstudyand totically hyperbolic manifolds numerical solution of the inverse source Yeo, Foo Yee,I-adiccohomologyofthe problem arising in thermoacoustic to- dual Lubin-Tate tower via the exterior Edelen, Nicholas,Onthefreeboundary mography power mean curvature flow Shah, Aalok,Continuousmodelsofalpha Furmaniak, Ralph,Onthestructureand and beta protein structures Claremont Graduate complex analysis of Dirichlet series University (16) Goodman, Elizabeth,Lagrangiantoriin Williams, Katherine,Anti-cancertreat- 4 2 2 ment and the cell cycle: Cellular-level R and S S Institute of Mathematical Sciences × mathematical models Hintz, Peter,Globalanalysisoflinearand Abdallah, Shaher,Generalstabilityanaly- nonlinear wave equations on cosmolog- University of Arizona, Mel sis of composite sandwich plates under ical spacetimes thermal load Jerison, Daniel,Thedriftandminoriza- and Enid Zuckerman tion method for reversible Markov Choi, Patrick,Optimizationofprinci- College of Public chains pal eigenvalue of an elliptic operator Health (1) with applications to heat conductivity Kalisnik Verovsek, Sara,Tropicalcoor- problem dinates on the space of persistence Department of Biostatistics barcodes Garcia, Mariangel,Dataassimilationunit Kupers, Alexander,Somefinitenessre- Fiero, Mallorie,Statisticalapproaches for the general curvilinear environmen- sults for groups of automorphisms of for handling missing data in cluster tal model randomized trials manifolds He, Lingjun,Semiparametricvarying- Leach, Jeremy,ThevacuumEinstein coefficient mixed effects modeling ap- constraint equations on manifolds with ARKANSAS proaches to longitudinal data ends of cylindrical type Herrlin, Daniel,ForecastingMLBperfor- Litt, Daniel,Non-abelianLefschetzhyper- University of Arkansas at mance utilizing a Bayesian approach in plane theorems Fayetteville (5) order to optimize a fantasy baseball Nariman, Sam,Stablemoduliofflat draft manifold bundles Department of Mathematical Kandes, Martin,Modelingtheeffectsof Sciences Nestoridi, Evrydiki-Xenia,Ratesofcon- inertial forces on Bose-Einstein conden- vergence of Markov chains to station- Chung, Ming-Hua,Probablisticgraphical sates in rotating frames of reference arity: Strong stationary times, coupling, modeling on big data Ko, Gene,Computationalapproachesfor Gelfand pairs and comparison theory Iwaki, Chizuko,Probablisticgraphical descriptor optimization and model de- Nguyen, Khoa,Onsymplectichomology modeling on big data velopment for HIV-1 drug design of the complement of a positive normal Shabazz, Melissa,IsometriesofBesov Ledahl, Jeffrey,Bayesianjoinmodelingof crossing divisor in a projective variety type spaces among composition opera- longitudinal visual field data with cor- Nolen, Samuel, The string topology of tors related binary and survival outcomes holomorphic curves in BU(n)

728 NOTICES OF THE AMS VOLUME 64, NUMBER 7 Doctoral Degrees Conferred

Skryzalin, Jacek,Numericinvariantsfrom Robeva, Elina,Decomposingmatrices, La Haye, Reuben, Quantitative combi- multidimensional persistence tensors and images natorial geometry with applications to Tsai, Li-Cheng,Weakuniversalityofin- Schweber, Noah,Interactionsbetween number theory and optimization teracting particle systems computability theory and set theory Lydon, Mark,Onthechromaticsymmet- Zamorzaev Orleanschii, Alexandr, Scott, Jacob, An I/O-complexity lower ric function of graphs Gopakumar-Vafa conjecture for genus bound for all recursive matrix multipli- Miller, Jacob,Transportationnetworks OrealGromov-Witteninvariants cation algorithms by path-routing and matroids: Algorithms through cir- Shapiro, Alexander,Grothendieckresolu- cuits and polyhedrality University of California, tion, affine Grassmannian, and Yangian Mossessian, George,StabilizingHeegaard Berkeley (40) Tabrizian, Peyam,AsymptoticPDEmod- splittings of high-distance knots els for chemical reactions and diffu- Navarro, Gustavo,Localwell-posedness Department of Mathematics sions and global stability of the two-phase Bejraburnin, Natth,Astudyoncorre- Wong, Christopher,Bilinearquadratures Stefan problem lation between genes’ functions and and their applications Qin, Chuan,Cardshuffles,genomerear- evolutions rangements, and social networks Department of Statistics Chough, Chang-Yeon,Topologicaltropes Tian, Ruoguang,Toptorandomshuffles of algebraic stacks Basu, Riddhipratim,Lipschitz embed- and characterization of rigged configu- Cook, Woo-Hyun,Transformationof dings of random objects and related rations of b( )intypeA ∞ PDEs: Optimal transport and conser- topics Westenberger, Christopher,Knotsand vation laws Bloniarz, Adam,Leveraginglatentstruc- links from random projections Duersch, Jed,Highefficiencyspectral ture in high-dimensional data: Causal- analysis and BLAS-3 randomized QRCP ity, neuroscience, and nonparametrics University of California, with low-rank approximations Kamm, John,Oneandtwolocuslikeli- Irvine (20) Fortunato, Meire,Curvedandanisotropic hoods under complex demography unstructered mesh generation and adap- Schiebinger, Geoffrey,Sparseinverse Department of Mathematics tivity using the Winslow equations problems: The mathematics of preci- Anzaldo, Leesa,Degeneracyiociingrass- Gannot, Oran,Curvedandanistropicun- sion measurement mannians structered mesh generation and adap- Tran, Linda,Forecastinghigh-dimensional Asatryan, Ani,ODEsinmathematical tivity using the Winslow equations state-spaces in the presence of model medicine: New virus dynamics in the Gillespie, Maria, A combinational ap- error presence of multiple invections; Evolu- proach to the q,t-symmetry in Macdon- Wu, Siqi,Dictionarylearning:Analysisof tion of genetic instability in heteroge- ald polynomials spatial gene expression data and local neous tumors Greengard, Daniel,Complexboundary identifiability theory Dellaca, Roger, Growth conditions on integral equation formulation and sta- Group in Biostatistics Hilbert functions of modules bility analysis of a Maxwell model of Ferrenc, Adrian,Anexplicitconstruction an elastic model of solid-solid phase Cotterman, Carolyn,Statisticalmethods for homotopy monoidal structure transformations for predicting dengue diagnosis using clinical and LC-MS data Gao, Hongwei, Random homogenization Johnson, William,Funwithfields of coercive Hamilton-Jacobi equations Coyle, Jeremy,Towardsapracticalimple- Kominiarczuk, Jakub,AcyclicMonteCarlo: in 1d mentation of optimal treatment Efficient multiscale sampling of undi- Ho, Michael,Sparseoptimizationmeth- rected graphical models through fast Hansen, Curt,TheLITSEalgorithm:The- ods and statistical modeling with appli- marginalization ory and application cations to finance Kroener, Christoph,Amathematicalex- Luedtke, Alex,Evaluatingtheimpactof Lee, Mary,Mathematicalmodelingof ploration of a PDE system for lithium- individualized treatment strategies tumor growth and metabolism Mejia, Robin,Estimatingsizeofunob- ion batteries Northrup, Cynthia,Towardtheconsis- served populations in human rights: Kruckman, Alex,Infinitarylimitsoffinite tency strength of stationary set reflec- Problems in Syria and El Salvador structures tion on small cardinals Sofrygin, Oleg,Semi-parametricestima- Laine, Kim,Securityofgenus3curvesin Northrup, Scott, Arithmetic sums of tion network data and tools for con- cryptography nearly affine Cantor sets ducting complex simulation studies in Lee, Minjae,Spectralanalysisonpoint causal inference Reale, Nicholas,Deformationsofmani- interactions folds of Calabi-Yau type Tran, Linh,Comparativecausaleffect Li, Penghui,Uniformationofsemistable estimation and robust variance for Sanchez, Cynthia, Fastest time to cancer bundles on elliptic curves longitudinal data structures with appli- by loss of tumor suppressor genes or Lieb, Anna,Modelingandoptimization cations to observational HIV treatment oncogene activation of transients in water distribution net- Su, Heng,Selmerparityofquadratic works University of California, twists of elliptic curves Liu, Weihua,Noncommutativedistribu- Davis (12) Tsang, Chi Shing,TopicsonSchrodinger¨ tional symmetries and their related operators de Finetti type theorems Department of Mathematics Xu, Hang,Onthespectrumandself- Mandelshtam, Olya,Combinatoricsofthe Dutra, Brandon,Decompositionmethods adjoint extension of Laplace operator asymmetric simple exclusion process for nonlinear optimization and data on Kähler manifolds Mazel-Gee, Aaron,Goerss-Hopkinsob- mining Yin, Penghang,Non-convexoptimization struction theory via model ?-categories Halabi, Ryan,Surfaceplasmonpolaritons methods for sparse and low-rank re- McMillan, Benjamin,Geometryandcon- in nonlinear media construction servation laws for a class of second- Irion, Jeffrey,Multiscaletransformsfor Yu, Myungjun,Selmerranksoftwistsof order parabolic equations signals on graphs: Methods and appli- algebraic curves Melgaard, Christopher,Randomizedpiv- cations Zhang, Lingxiao,Passiveimagingofa oting and spectrum-revealing bounds Kopel, Philip,Hermitianandnon-Hermit- spherically symmetric inclusion by elas- in numerical linear algebra ian random matrix theory tic waves

AUGUST 2017 NOTICES OF THE AMS 729 Doctoral Degrees Conferred

Zhang, Shiwen,Arithmeticcriterionof Li, Zhiqiang,Ergodictheoryofexpanding Das, Shaunak,Vectorbundlesonperfec- full spectral dimensionality for analytic Thurston maps toid spaces quasiperiodic Schodinger¨ operators Lin, Jianfeng,TheunfoldingSeiberg- Elle, Susan,AstudyofdimensionSore Zhong, Lin,Fastsolversfornumeri- Witten-Floerr spectrum: Definition, prop- extensions cal schemes based on finite element erty and applications Hoff, Daniel,Somestructuralresults exterior calculus Lynn, Melissa,Sums-of-squaresformulas for measured equivalence relations and Zu, Penghe,Globalsparsebasismethod over arbitrary fields their associated von Neumann algebra of solving residual KPP front speeds in Pauwels, Bregje,Quasi-Galoistheoryin Longo, Brian,“Super-approximation”in time-periodic cellular flows in the small tensor-triangulated categories diffusion limit absolutely almost simple groups over Peng, Zhimin,Asynchronousparallelal- the field of rational functions with University of California, gorithms for large scale problems coefficients in a finite field Ram, Daniel,Amaterialpointmethod Los Angeles (31) Moody, John Brogan,Discretedifferential for complex fluids structures on simplical complexes Department of Biostatistics, Fielding Rosenbaum, William,Distributedalmost Palmer, Joseph,Symplecticinvariantsand School of Public Health stable matchings moduli spaces of integrable systems Soffer, Andrew,Combinatoricsofconju- Clark, Michelle,Statisticalmodelsfor Semko, Jeremy,Controlledroughpaths gacy classes in U ( ) detecting transgenerational genetic ef- n Fq on manifolds fects Tran, Giang,Sparsity-inducingmethods Sergel, Emily,Thecombinatoricsofnabla Estes, Jason,Timedynamicmodelingand in imaging sciences and partial differential equations pn and connections to the rational inference approaches for outcomes in shuffle conjecture patients on dialysis Wang, Teng,Populationgeneticsina Tait, Michael,Connectionsbetweengraph Gill, Mandev,Bayesianmodelingofviral single organism: Models of neurospora theory, addititve combinatorics, and phylodynamics crassa nuclear dynamics finite incidence geometry Lu, Xiang,Handlingincompletehigh- Woodworth, Joseph,Numericaloptimiza- dimensional multivariate longitudinal tion methods for image processing and Tong, Pun Wai,Classicallimitonquan- data with mixed data types by multiple machine learning tum mechanics for unbounded observ- imputation using a longitudinal factor Yin, Changyong,GeometryofCalabi-Yau ables analysis model moduli Tully-Doyle, Ryan K,Ontherepresenta- Shih, Wendy,Ensemblebasedestimators tion and boundary behavior of certain of a latent variable: Application in aging University of California, classes of holomorphic functions in research Merced (1) several variables Wu, Sheng,Optimaldesignofcluster Wang, Liang, Topics in tranformation- Department of Applied Mathematics randomized trials with binary outcomes based statistical method Martin, David,Accountingforsurface Wilkins, Gautam,Anempiricalchoasex- Department of Mathematics concentrations using a VOF front track- pansion method for uncertainty quan- Aaserud, Andreas,Weakandapproxi- ing method in multiphase flow tification mate equivalence of group actions in University of California, Won, Robert,Thegradedmodulecategory the framework of ultrapower Cartan of a generalized Weyl algebra inclusions Riverside (5) Carolino, Pietro,Thestructureoflocally compact approximate groups Department of Mathematics University of California, Chen, William,Mutalandtightstationar- Dusel, John,Combinatoricsofcrystal Santa Barbara (9) ity folding Department of Mathematics Chongchitmate, Wutichai,Newmodels Navas, Esteban,APrioriboundonthe for practical secure computation velocity in axially symmetric Navier- Comelli, Silvia,Hartree-Focktheorywith Dragomiretskiy, Konstantin,Variational Stokes equations aself-generatedmagneticfield methods in signal decomposition and Schneider, Lisa,Multiplicitiesassociated Coté, Benjamin,AcomplexEuclidean image processing to Demazure flags of sl2[t]-modules reflection group and its braid Galatan, Alin, Smooth bimodules and Shereen, Peri,ASteinbergtypedecom- Cui, Xingshan,Highercategoriesand cohomology of II1 factors position theorem for higher level De- topological quantum field theories mazure modules Garrabrant, Scott,P-recursiveinteger Delgadillo, Ricardo,Semiclassicalmeth- sequences and automata theory Wand, Jeffery,Demazureflagsoflocal ods for high frequency wave propaga- Gast, Theodore,Numericalsimulation Weyl modules tion in periodic media of elastic, viscoelastic and granular materials University of California, Karimi, Shahab,Stochastic2DNavier- Stokes equation and applications to 2D Greenblatt, Jordan,Asymptoticmaximal San Diego (18) turbulence operator norms for Cartesian powers of finite grpahs Department of Mathematics Smith, Derek,Propagationofregularity Hernandez, Joshua,Modelsandmethods Aisenberg, James,Theproofandsearch within solutions to Korteweg-de Vries for sensor-based environment explo- complexity of three combinatorial prin- type equations ration ciples Tsang, Sin Yi Cindy,OntheGaloismodule Jao, Casey,Energy-criticalandmass- Behzadan, Ali,Ananalysisofthecon- structure of the square root of the critical nonlinear Schrodinger¨ equations formal formulation of the Einstein inverse different in abelian extensions with variable coefficients constraint equations on asymptotically Wang, Changliang, Linear stability of Ein- Keranen, Jukka,Compactsupportcoho- flat manifolds stein metrics and Perelman’s lambda- mology of Picard modular surfaces Cheung, Man Wai,Tropicaltechniquesin functional for manifolds with conical Lang, Jaclyn,ImagesofGaloisrepresen- cluster theory and enumerative geome- singularities tations associated to p-adic families of try Wirts, Shawn,Poincareinequalitiesunder modular forms Cummings, Jonathan,Flipsandjuggles gauge transformations

730 NOTICES OF THE AMS VOLUME 64, NUMBER 7 Doctoral Degrees Conferred

University of California, Colorado State Bao, Lei,Efficienttime-integration Santa Cruz (6) University (19) schemes for discontinuous Galerkin non-hydrostatic atmosphere models Applied Mathematics and Statistics Department of Mathematics Barnett, Gregory, A robust RBF-FD formu- Department Alsaker, Melody,Computationaladvance- lation based on polyharmonic splines Betancourt Canizales, Brenda,Modeling ments in the D-bar reconstruction and polynomials and prediction of time series of directed method for 2-D electrical impedance Cheng, Ze,Qualitativeanalysisofsome binary networks tomography non-linear PDE Lopez Arriaza, Juan,Unravelingsteel- Chepushtanova, Sofya,Algorithmsfor Nieves, David J,Investigationsofreduced head life history complexity through feature selection and pattern recogni- equations for rotating, stratified and mathematical modeling tion on Grassmann manifolds non-hydrostatic flows Cooper, Benjamin,Abstracthyperovals, Pourmohamad, Tony,Combiningmulti- Wong, Anthony,Theimpactofstablewa- partial geometries, and transitive hy- variate stochastic process models with ter isotopic information on parameter perovals filter methods for constrained opti- calibration in a land surface model mization Hanson, Eric,Algorithmsinnumerical algebraic geometry and applications Soper, Braden,Non-zero-sum,adversarial Department of Mathematics detection games in network security Ho, Anne,CountingArtin-Schreiercurves over finite fields Grimes, Matt,Compactificationsofuni- White, Katelyn,Numericalinvestigations versal moduli spaces of vector bundles of spherical boundary-driven dynamos Ihde, Steven, Preconditioning polynomial systems using Macaulay dual spaces and the log-minimal model progam on Department of Mathematics Mikucki, Michael,Electromechanicaland Mg curvature driven molecular flows for Havasi, Krisztian,Geometricrealization Beloi, Aleksander,Shinani’smethod:Zeta lipid membranes of strata in the boundary of the inter- values and stark units Sadre-Marandi, Farrah,Mathematicalmod- mediate Jacobian locus University of Southern eling for HIV-1 viral capsid structure Linman, Julie,Minimalfunctionsonthe and assembly random permutation California (11) Department of Statistics Nishikawa, Jared,Applicationsofcryto- Department of Mathematics graphic hash functions Alsaker, Cody, Statistical innovations for Nita, Alexander,Selfadjointnessofthe Abram, Michael,Symmetriesofcategori- estimating shape characteristics of bi- sympletic dirac operators fied quantum groups ological macromolecules in solution Kang, Yongjian,Large-scaleinferencein using small-angle x-ray scattering data Scherer, Charles,Maximalcomparable multiple Gaussian graphical models Edmondson, Stacy,Adjustingforcap- and incomparable sets in Boolean algebras Karnam, Chandrasekhar, Dynamic ap- ture, recapture, and identity uncertainty proaches for some time inconsistent when estimating detection probability Shannon, Erica,Computinginvariant problems from capture-recapture surveys forms for Lie algebras using heaps Keller, Christian,Pathwisestochastic Hunter, Brett,Modelingtheuppertail analysis and related topics of the distribution of facial recognition University of Colorado, Ren, Haining,Thecycleconvergencerate non-match scores Denver (2) of cyclic permutations Russell, Brook,Understandingextreme behavior by optimizing tail dependence Department of Mathematical and Tucker, Henry,Frobenius-Schurindica- with application to ground level ozone tors for near group and Haagerup-Izumi Statistical Sciences via data mining and spatial modeling fusion Brandt, Axel,Computationalapproaches Sienkiewicz, Ela,Analysisofstructured Ugurlu, Kerem,Somemathematicalprob- in graph theory data on big data with application to lems for the stochastic Navier-Stokes neuroscience Thomas, Brent,Saturationspectrumfor equations Sun, Libo,Parameterinferenceandmodel trees Wang, Jian,Onthetorsionstructureof selection for differential equation mod- elliptic curves over cubic number fields els University of Denver (2) Williams, Andrew,OntheGirouxcorre- Tan, Hongyu,Modulatedrenewalprocess Department of Mathematics spondence models with functional predictors for Yang, Fan,Entrytimesstatisticson neural connectivities Ash, Drew,Topologicalspeedups metric spaces Tipton, John,Improvedestimationand French, Thomas,Followerandextender Zhang, Tian,Optimalinvestmentand prediction for computationally expen- sets in symbolic dynamics reinsurance problems and related non- sive ecological and paleoclimate models Markovian FBSDEs with constraints Tu, Yan,Apenalizedestimationproce- University of Northern dure for varying coefficient models Colorado (3) COLORADO Wu, Jiwen,Penalizedisotonicregression and an application in survey sampling School of Mathematical Sciences Colorado School of Young, Gabriel,Inferenceforfunctional time series with applications to yield Roach, Catherine,Astudyofnovice Mines (2) curves and intraday cumulative returns instructors’ questioning techniques and classroom discourse surrounding those Department of Applied Mathematics University of Colorado, questions and Statistics Boulder (13) Troudt, Melissa,Mathematicians’evolving Alyoubi, Ahmad,Highperformancecom- personal arguments: Ideas that move putational algorithms for a class of inte- Department of Applied Mathematics proof constructions forward ger and fractional evolutionary models Ali, Ashar Fawad,ULFwavesanddiffu- Troup, Jonathan,“Students”develop- Maestas, Joseph,Long-rangeshockpro- sive radial transport of charged parti- ment of geometric reasoning about the pogation in ocean waveguides cales derivative of complex-valued functions

AUGUST 2017 NOTICES OF THE AMS 731 Doctoral Degrees Conferred

CONNECTICUT Rao, Anup,AlgorithmsforLipschitz Howard University (3) extensions on graphs University of Connecticut, Department of Mathematics Department of Statistics Alberto, Genesis,Thedivisionpolyno- Storrs (13) Gao, Chao,Frequentistjustificationsof mials for the Holm curve and their Department of Mathematics Bayes procedures properties Asaad, Malva,Hypoellipticheatkernel Rush, Cynthia,Iterativealgorithmsfor Arienmughare, Martin,Three,four-wave on nilpotent Lie groups inference and optimization, with appli- HLLC Riemann solver for single and multiphase flow, and the classical and Judge, Jonathan,Modulesoverrank-two cations in communications and com- semi-relativistic CGL-MHD KLR algebras pressed sensing Siewe, Nourridine,Granulomaformation Lorincz, Andras,Bernstein-Satopolyno- and immune response to infection by mials for quivers Leishmania: Mathematical models Mackenzie, Michael,Unitaryk-Hessenberg DELAWARE matrices Delaware State Pellico, Ryan,Multipleperiodicsolutions FLORIDA University (2) of a nonlinear suspension bridge sys- Florida Atlantic tem of partial differential equations Department of Mathematical Serhiyenko, Khrystyna,Inducedandcoin- Sciences University (5) duced modules over cluster-tilted alge- Department of Mathematical bras Hui, Pengrui,Movingwindowfinite- difference time-domain method based Sciences Department of Statistics on space-time coordinate transforma- Fontaine, Marcus,Nonlinearphenomena Goh, Gyuhyeong, Applications of Berg- tion from a reinjected horseshoe man divergence measures in Bayesian Zhao, Yingxue,Finite-differencetime- Ippolito, Stephen,Kicksandmaps:Adif- modeling domain method for hydrodynamic elec- ferent approach to modeling biological Joeng, Hee-Koung,Theoryandmethods tion fluid Maxwell equations systems for modeling and fitting discrete time Rutherford, Vermont,Negligiblevaria- survival data University of Delaware (8) tion, change of variables, and a smooth Larose, Chantal,Modelbasedclustering Department of Mathematical Science analog of the Hobby-Rice theorem of incomplete data Sharma, Madhav,MaximallyPrufer¨ rings Alexander, James,Selectedresultsin Ouyang, Guang,Socialnetworkcommu- Thapa Magar, Krishna,Lowranktran- combinatorics and graph theory nity detection sitive representations, primitive exten- Serhiyenko, Volodymyr,Dynamicmod- Castillo, Christopher,Amethodforcon- sions, and the collision problem in eling of multivariate counts: Fitting, structing groups of permutation poly- PSL(2,q) diagnostics and applications nomials and its applications to projective geometry Wang, Zhuo,Estimatingequationsfor Florida Institute of spatial extremes with applications to Evans, Ryan,Amathematicaljourney Technology (1) through optical biosensors detection and attribution analysis of Department of Mathematical changes in climate extremes Li, Jiange,Sometopicsinprobability Sciences Zhao, Bo,Scanstatisticsfordetecinga theory, combinatorics and information local change in variance for normal data theory Goldfarb, Jonathan, On the optimal con- Li, Weiqiang,Algebraicmethodsingraph trol of the free boundary problems for Wesleyan University (2) theory the second order parabolic equations Department of Mathematics and Meng, Shixu,Inversescatteringfora penetrable cavity and the transmission Florida State Computer Science eigenvalue problem University (26) Karker, Mary Leah,Twoapplicationsof Qiu, Tianyu,Timedomaininboundary Department of Mathematics topology to the study of non-classical integral methods in acoustics, heat logics diffusion and electromagnetism Adams, Bill,Lagrangianspecializationvia log resolution and Schwartz-MacPherson- Liu, Jingho,Representationsofintegral Yang, Fan,Scatteringandinversescat- Chern classes hermitian forms by sums of norms tering in the presence of complex background media Ballenger-Fazzone, Brendon,Ananalysis Yale University (9) of conjugate harmonic components of magnetic functions and lambda har- Biostatistics Division DISTRICT OF monic functions Zhao, Qing, Integrative analysis of multi- Cole, Justin,Non-linearSchrodinger-type¨ dimensional cancer genomic data COLUMBIA systems: Complex lattices and non- paraxiality Department of Mathematics George Washington Diaz-Martinez, Diego,Multiscalesum- Allegretti, Dylan G,Thegeometryof University (3) maries of probability measures with cluster varieties from surfaces applications to plant and microbiome Department of Mathematics Cheung, Rex,Integrabilityestimateson data the space of S-arithmetic lattices El Sherif, Lara,Matchings,intersection Ekrut, David,Symmetrysolutionsof Faonte, Giovanni,Nerveconstruction,A- graphs, and the maximum genus of the multiphase model with biological infinity functors and homotopy theory graphs applications of differential graded categories Hu, Yeyao,Discassembliesandspike Fletcher, Patrick,Theoretical,computa- Pimenov, Svyatoslav,Kostant’stheorem assemblies in inhibitory systems tional, and experimental topics in ante- for Lie superalgebra gl(m,n) Marshall, Leah,Computability-theoretic rior pituitary cell signaling Ranganathan, Dhruv,Skeletons,degen- properties of partial injections, trees Han, Daozhi,Diffuseinterfacemethod erations, and Gromov-Witten theory and nested equivalences for two-phase incompressible flows

732 NOTICES OF THE AMS VOLUME 64, NUMBER 7 Doctoral Degrees Conferred

Jarrett, Angela,Investigatingpersistant Pantone, Jay,Structuralanalysisofper- University of Miami (3) infections using mathematical model- mutation classes Department of Mathematics ing and analyses Russo, Ben, Lifting thereoms for tuples of Jones, Dawna,Assetpricingequilibriafor 3-isometric and 3-symmetric operators Cabrera Pacheco, Armando,Ongeomet- heterogeneous limit-information agents with applications ric problems involving Schwarzschild manifolds Kim, Sarah, A mathematical model of Severa, William,Geometricrepresenta- Ding, Ziqian,Dihedralsymmetriesof celebral cortical folding development tions of the infimax S-adic family based on a biomechanical hypothesis non-crossing partition lattices 2 Li, Mao,Quantifyingphenotypevariatioin Sharpe, Nicholas,AZ construction of a Song, Yishu,HydrodynamiclimitforBak- through local persistant homology and K-automorphism that commutes with a Sneppen branching diffusions imaging rank-1 transformation Sun, Dong,Highorderlong-timeaccurate Srinivasan, Tulsi,TheLusternik-Schnirel- University of South methods for Stokes-Darcy system and mann category of Peano Continua Florida (3) uncertainity quantification of contain- Torres, Juan,Dynamicsoflawandhigh ment transport pathagenic avian influenza in birds Department of Mathematics and Woodruff, Celestine,Efficientandaccu- Statistics rate numerical schemes for long time Department of Statistics D’Andrea, Joy,Astatisticalanalysisof statistical properties of the infinite hurricanes in the Atlantic Basin and Prandtl number model for correction Chen, Zhe,Inferenceforthenumberof sinkholes in Florida Xu, Linlin,Gpncomputinginfinancial topics in the latent Dirichlet allocation model via Bayesian mixture modelling Mudunuru, Venkateswara Rao,Modelling engineering and survival analysis of breast cancer: Yuan, Wei,Estimatingsensitivitiesofex- Jung, Yeun Ji,Convergenceanalysisof Astatisticalartificialneuralnetwork, otic options using Monte Carlo methods Markov chain Monte Carlo algorithms and decision tree approach Zhou, Guifang,Rank-constrainedopti- for Bayesian regression models with Pathirana, Vindya,Nearestneighborfor- mization: A Riemannian manifold ap- non-Gaussian errors eign exchange rate forecasting with proach Linero, Antonio,NonparametricBayes: Mahalanobis distance Inference under nonignorable missing- Department of Statistics ness and model selection GEORGIA Alrajhi, Sharifah,Examiningtherelation- Nguyen, Trang,Somecontributionsto ship of dietary component intake to Bayesian item response models, case- (1) each other and to mortality control studies and case-cohort studies Augusta University Fraser, Raphael,Medianregressionfor Department of Biostatistics and complex survey data Pal, Subhadip,Developmentandanalysis of new Markov chain Monte Carlo Epidemiology Gramajo, Gary,Featureselectionwith (MCMC) algorithms annealing with application to big data Campbell, Jeff,Bayerianfunctionalclus- Qiu, Mingfei,Theone-andtwo-sample Park, Yeonhee, A Markov chain Monte tering and VMR identification in methy- problem for data on Hilbert manifolds Carlo approach to empirical Bayes infer- lation micro array data with applications to shape analysis ence and Bayesian sensitivity analysis vie empirical processes (14) Schleeter, Tiffany,Methodsofblock Emory University thresholding across multiple resolution Wu, Yang,Bayesianinferencewithcom- Department of Biostatistics and levels in adaptive wavelet estimation posite likelihoods Bioinformatics Scolnik, Ryan,Predictiveaccuracymea- Bray, Margaret,Algorithmicapproaches sures for binary outcomes: Impact of University of Florida to classifying biological networks incidence rate and optimization tech- College of Public niques Dai, Tian,Agreementmethodsforcom- plex outcomes in biomedical studies Shao, Jiang,Matchedsamplebasedcross Health (7) normalization methid on microarray Liu, Shuling,Jointmodelingapproaches Department of Biostatistics gene dataset for clustered survival data with random cluster size Yu, Kaixian, Statistical methods for big Ghebremariam, Samson, Modeling co- data and their applications in biomedi- circulating pathogens for cohort studies Lu, Xin, Estimation of potential outcomes cal research in the presence of high-dimensional when treatment assignment and dis- Zhang, Qiaoya,SparsegeneralizedPCA missing data and left censoring continuation compete in observational data and dependency learning for large-scale Helian, Shanjun,Structuralnestedmodel- Shi, Ran,Somenovelstatisticalmethods applications ing and penalized correlation methods for neuroimaging data analysis Zhang, Shuguang,Time-varyingmixture for clinical trials models for financial risk management Kirpich, Alexander,Dynamicinfectious Department of Mathematics and University of Central disease modeling challenges influenced Computer Science by real life problems Florida (1) Bhaskhar, Nivedita,R-equivalenceand Li, Li, Adjusting for confounding due to norm principles in algebraic groups Department of Mathematics unmeasured characteristics that vary Bhat, Vindya,RamseyandTuran-type Russo, Matthew,BuildingLayintegrable across the levels of one or two factors theorems for hypergraphs variable-coefficient generalizations to Meng, Ya,Analysisofinfectiousdisease Clemm, Amanda,Ellipticcurves,eta- integrable PDEs and exact solutions to in the presence of missing data in both quotients and Weierstrass mock modu- nonlinear PDEs outcome and covariates lar forms Zeng, Hui,Graphicalapproachestomulti- Etropolski, Anastassia, Rational points on (14) University of Florida ple testing within 2X2 factorial designs curves Department of Mathematics Zhu, Yifan,Satisticalconsiderationsin Retter, Troy,SomeRamseytypeproblems Gray, Daniel,Boundsonthelengthsof modeling infectious disease surveil- West, Mckenzie,Brauer-Manincomputa- restricted superpatterns lance data tions for surfaces

AUGUST 2017 NOTICES OF THE AMS 733 Doctoral Degrees Conferred

Wu, Zhengyao,HasseprincipleforHer- Jacobs, Kenneth,Asymptoticbehavior University of Idaho (2) mitation spaces of arithmetic equivariants in non- Department of Mathematics Yang, Boyi, Numerical modeling of Archimedean dynamics blood flow problems in coronary ar- Lacy, Allan,Ontheindexofgenusone Cockreham, James,Metricentrophyun- teries: Patient-specific processing, from curves der generalized convexity stented geometries to fluid dynamics McFaddin, Patrick,K-cohomologyofgen- Oldroyd, Jesse,Generalizationsandap- Yang, Huanhuan,Parameterestimation eralized Severi-Brauer varieties proximations of equiangular tight frames and reduced order modeling in electro- Needham, Thomas,Grassmanniangeom- cardiology etry of framed curve spaces ILLINOIS Georgia Institute of Troupe, Lee,Threeapplicationsofsieve methods in analytic number theory Illinois Institute of Technology (8) Turbow, Maren,Structuretheoryof (6) School of Mathematics graded central simple algebras Technology Awi, Romeo,Minimizationproblemsin- Zawodniak, Matthew,Amodulispacefor Department of Applied Mathematics volving polyconvex integrands rational homotopy types with the same homotopy Lie algebra Chen, Tao,Dynamicconicfinancevia Bush, Albert,Multifoldsumsandprod- backward stochastic difference equa- ucts over R, and combinatorial prob- Department of Statistics tions and recursive construction of lems on sumsets confidence regions Hu, Hejiao,Awaitingtimeapproachfor Difonzo, Fabio,TheFilippovmoments Ding, Yuhan,Guaranteedadaptiveuni- adisabilitymodel solution on the intersection of two and variate function approximation Kim, Sangjin,Prioritizinghypothesis three manifolds Jiang, Lan,GuaranteedMonteCarlo tests for high throughput data with Hu, Jing,Completenonnegativelycurved methods for estimating means of ran- multiple testing methods spheres and planes dom variables Liu, Fei,Clusteranalysisforsymbolic Krone, Robert,Symmetricidealsand Mitillos, Christoudoulos,Topicsingraph interval data using linear regression numerical primary decomposition fall-coloring Qiu, Debin,Groupedvariablescreening Li, Wuchen,Astudyofstochasticdif- Turian, Emma,Computationandanalysis for ultrahigh dimensional data ferential equations and Fokker-Planck of tumor growth equations of applications Wang, Shiyao,Modelingtheeffectsof Zhou, Xuan,Functionapproximationwith partially observed covariates with an Vaidyanathan, Ranjini,ThermostatedKac kernel methods models extension of the Horvitz-Thompson estimator in point sampling of EMA Wang, Ruidong,Combinatorialproblems Illinois State University (3) for graphs and partially ordered sets data Yan, Zhen,Abirthanddeathmodelfor Department of Mathematics Georgia State RNA-Seq data analysis Enzinger, Nicole,Developinganddescrib- University (6) Zhao, Jing,Aprobabilisticmodelforgene ing the use and learning of conceptual family evolution models for integer addition and sub- Department of Mathematics and Zhuang, Yuan,Timeseriesclusteringus- traction of grade 5 students Statistics ing copula-based higher order Markov Kirwan, James,Preservicesecondary Carter, Douglas,Synchronizationindy- processes mathematics teachers’ knowledge of namical networks with mixed coupling generalization and justification on geo- Liu, Hui,OnregularizedNewton-type HAWAII metric-numerical patterning tasks algorithms and a posteriori error es- Nickels, Megan,Mathematicsinthe timates for solving ill-posed inverse charmed world: Affecting power, privi- problems University of Hawaii at lege, and conceptual understanding for Marsli, Rachid,Newextensionsofthe Manoa (4) chronically ill children through robotics Ger˘sgorin theory play Department of Mathematics Stroev, Mikhail, Some results on generalized complementary basis matrices and Joyce, Michael,Apresentationoftwo Northern Illinois dense alternating sign matrices families of uniformly bounded repre- University (4) Xing, Tingli,Computationalstudyin sentations of CAT (0)-cubical groups chaotic dynamical system and mecha- and an example from hyperbolic geom- Department of Mathematical nism for pattern generation in three-cell etry Sciences network Patterson, Geoffrey,Asteroidrendezvous Kifowit, Steven,Adivide-and-conquer Yang, Ping,SpanningHalinsubgraphs missions using optimal control split Schur algorithm involving forbidden subgraphs Reckwerdt, Eric,Weakamenabilityis Mitchell, Tyler,Fusionringswithdegrees stable under graph products 1and4 University of Georgia (19) Tamura-Sato, Aaron,Ahybridcontrol Schaumburg, Herman,Combinatorialin- Department of Mathematics model of fractone-dependent morpho- terpretations of continued fractions genesis Brunyate, Adrian,Amodularcompact- with multiple limit points ification of the space of elliptic K3 Wallis, Benjamin,Thealmostinvariant surfaces IDAHO halfspace problem Castro, Nickolas,Relativetrisectionsof smooth 4-manifolds with boundary Idaho State University (1) Northwestern Hardesty, William,Onsupportvarieties (10) Department of Mathematics and University for algebraic groups Statistics Department of Mathematics Hicks, Jacob,QuadraticformsoverHasse domains: Finiteness of the Hermite Chikwanda, Patreck,Connectednessof Dolores Cuenca, Eric,DG:Swisscheese constant two-sided Cayley digraphs conjecture

734 NOTICES OF THE AMS VOLUME 64, NUMBER 7 Doctoral Degrees Conferred

Egger, Philip,Somecomputationsinv2- Department of Statistics Collier, Brian,Finiteorderautomor- periodic homotopy theory at the prime phisms of Higgs bundles: Theory and Dutta, Somak, Residual likelihood analy- 2 application sis for spatial mixed linear models Elliot, Christoper,Gaugetheoreticaspects Demirbas, Seckin,Astudyoncertain of the geometric Langlands correspon- Liu, Zhe,High-dimensionalgraphestima- Schrodinger¨ equations tion and density estimation dence DiPasquale, Michael,Splinesonpolytopal Huang, Zili,Perronnumbersandtheir Ng, Lian Huan,Threeessaysonstatistical complexes distribution models for computer vision Galiardi, Meghan,Mathematicalmodels Knudsen, Benjamin,Higherenveloping Poppick, Andrew, Statistical methods for in evolutionary dynamics algebras and configuation spaces of climatic processes with temporal non- Hasler, Jordan,Stochasticanddetermin- manifolds stationarity istic epidemic models Mahowald, Matthew,Knotsandgamma Potiron, Yoann,Estimatingtheintegrated Hockensmith, Daniel,Aclassificationof classes in open topological string theory parameter of the locally parametric toric, folded-symplectic manifolds model in high-frequency data Wenbo, Sun,Structuretheoremsindy- Kim, Ki Yeun,Dynamicsofbouncingrigid namics and their applications Shender, Dinah,Tradeoffsbetweencom- bodies and billiards in the spaces of putation and accuracy in statistical constant curvature Engineering Science and Applied estimation Liu, Hong,Extremalgraphtheory:Super- Mathematics Department Wang, Miaoyan,Mixed-modelandquasi- saturations and enumeration likelihood methods for genetic associ- Slawik, Alexander,Nonlinearanalysisof Mahoney, Thomas,Onlinechoosabilityof ation studies in samples with related silicon microdisk resonators graphs individuals and population structure Weiss, Noah,Periodicarrayofpartially McDonald, Daniel,Competitiveversions insulated interface cracks subjected to University of Illinois at of vertex ranking and game acquisition, unifrom fox-field heat flow and a problem on proper colorings (12) Wells, Daniel,Globalmethodsforcon- Chicago Reiniger, Benjamin,Coloringandcon- trolling noise response and identifying structing (hyper) graphs with restric- Mathematics, Statistics and tions bifurcations in complex dynamical sys- Computer Science Department tems, with applications to biological Roy, Arindam,Ramanujun’sidentities, collective behavior Bilman, Deniz,Onlongtimeasymptotics Voronoi summation formula, and ze- for the Toda lattice and its Hamiltonian roes of partial sums of zeta and Southern Illinois pertubations L-functions Searles, Dominic,Root-theoreticYoung University Carbondale (3) Conant, Gabriel,Modeltheoryandcombi- natorics of homogenous metric spaces diagrams and Schubert calculus Department of Mathematics Dyer, Jessica,Dynamicsofequicontinu- Work, Grace,Transversalstohorocycle flow on the moduli space of translation Alsibiani, Wahidah,Reducibilityofpara- ous group actions on Cantor sets surfaces bolically induced representations Kjerland, Marc,Modelreductionand Yeakel, Sarah,GoodwilliecalculusandI Liu, Jun,Newcomputationalmethodsfor fluctuation response for two-timescale optimal control of partial differential systems Zhou, Sishen,Topologyofconfiguration equations Kun, Jeremy,Graphs,newmodels,and space on trees Rajasingam, Prasanthan,Onthenumer- complexity Department of Statistics ical solution of continuous coupled Pajda-Delao, Jennifer,Onthelawofit- Shi, Peibei,Weaksignalidentificationand algebraic Riccati equations erated logarithms for Brownian motion inference in penalized model selcetion on compact manifolds University of Chicago (17) Wang, Shiyu,Sometheoreticalandap- Schneider, Jonathan,Diagrammatictheo- plied developments to support cogni- Department of Mathematics ries of 1- and 2-dimensional knots tive learning and adaptive testing Sun, Yan,Asubgroupidentification Bapat, Asilata,Someresultsonperverse method with interaction filtering and sheaves and Bernstain-Sato polynomials quantitative criteria INDIANA Cheng, Shuyang,Towardsanonstandard Tammali, Venu,High-orderpertubation Indiana University, Fourier analysis in automorphic forms: of surfaces approach to Fokas integral Some results on two toy examples equations: Maxwell equations Bloomington (10) Engelstein, Max,Freeboundaryproblems Yu, Xiangcheng,Acceleratingpolynomial Department of Mathematics for harmonic and caloric measure homotopy continuation on graphics Bhattacharya, Prasit,Higherassociativity Fehrman, Benjamin,Isotropicdiffusions processing units in random environment of Moore spectra Yuan, Ting,Onthestructeredmani- Carter, Anne,Lubin-Tatedeformation Filip, Simion,Teichmuller¨ dynamics and fold optimization: Reduced-rank and spaces and (φ, )-modules Hodge theory positive definite matrix estimation Gazaki, Evangelia,Zerocyclesonabelian de Araujo Monterio da Silva, Rafael, Zheng, Hui, Virus classification based on Transverse steadyΓ bifurcation of vis- varieties, Somekawa K-groups and local alignment-free methods symbols cous shock solutions of a system of parabolic conservation laws in a strip Geng, Andrew,Theclassificationoffive- University of Illinois, Gershon, Arthur,Newdirectionsinthe dimensional geometries Urbana—Champaign (20) enumeration of tilings of a chessboard Koshikawa, Teruhisa,Hodgebundlesand Lo, Chi Yu,Theheight-2Lubin-Tatespace heights of pure motives Department of Mathematics and p-adic analytic representation Thatte, Vaidehee,Ramificationtheoryfor Ackermann, Colleen,Quasiconformalmap- Nguyen, Thang,Qi-embeddingrigidity arbitrary valuation rings in positive pings on planar surfaces of nonuniform lattices in higher rank characteristic Berning, Stephen,Dynamicsofafully sample Lie groups Zheng, Bowei,Limitingbehaviorofcritical stochastic discretized neuronal model Rohatgi, Ranjan,Ontheenumerationof branching Brownian motion with killing with excitatory and inhibitory neurons Lozenge tilings of halved hexagons

AUGUST 2017 NOTICES OF THE AMS 735 Doctoral Degrees Conferred

Sadigov, Tural,Dataassimilationand Miller, Brittney,Kernelsofadjoints University of Notre determining forms for weakly damped, of composition operators on Hilbert Dame (8) dispersive systems spaces of analytic functions Yang, Ning,Cross-wiredlamplighter Montano, Jonathon,Generalizedmulti- Applied and Computational groups and linearity of automata plicities and depth of blowup algebras Mathematics and Statistics groups Mrad, Lidia,DynamicanalysisofChevron Wu, Liang,Highorderfastiterative Yang, Ping,Dynamictransitionfor structures in liquid crystal cells methods for steady state of hyperbolic Rayleigh-Bénard convection Noparstak, Jacob,OnflowsinTeichmuller¨ partial differential equations and moduli spaces of surfaces Indiana Rizzie, Anthony,Refinedestimatesonthe Department of Mathematics University–Purdue Betti numbers of semi-algebraic sets Diaz-Lopez, Alexander,Rootsystemsof University Indianapolis (4) Rizzie, Erin,Adjointsofcomposition reflection systems and w-graphs over operators with a broader class of non-commutative algebras Department of Mathematical symbols Ferdinands, Timothy,Groupoidswith Sciences Rotz, Kevin,Monotonicityformulasfor root systems in real vector spaces Carichino, Lucia,Multiscalemathematical diffusion operators on manifolds and Jiang, Xumin,Boundaryexpansionsfor modeling of ocular blood flow and Carnot groups, heat kernel asymptotics minimal graphs in the hyperbolic space oxygenation and their relevance to and Wiener’s criterion on Heisenberg- Madsen, Jeffrey,EquationsofReesalge- glaucoma type groups bras and singularities of rational plane Cassani, Simone,Bloodcirculationand Schneider, Andrew,Finite-dimensional curves aqueous humor flow in the eye: Multi- approximations and deformations of Smith, Douglas,Amethodforestimating scale modeling and clinical applications group C*-algebras entropy of real birational maps with Lynch, Rodney,Arithmeticonnormal Sosa, Gabriel,Onmonomialorders, constrained critical orbits forms of elliptic curves Koszul algebras and toric rings Stoffel, Augusto,Supersymmetricfield Wang, Shan,Aneasylikelihoodapproach Stull, Nicholas,Uniquecontinuationfrom theories and orbifold cohomology to improved estimation of linear func- infinity for perturbations of the com- Vojdani, Somayeh,OnPresburgerarith- tionals of a probability measure with plex hyperbolic space matic, nonstandard finite cyclic groups, side information with applications to Swartz, Drew,Analysisofmodelsfor and definable compactifications structural equation models curvature driven motion interfaces Wang, Xu,Incompressiblemultiphase (36) Purdue University flows: Issues and algorithms IOWA Department of Mathematics Wang, Yiran,TheresolventoftheLapla- Iowa State University (17) Backing, Thomas,Regularityofsolutions cian on non-trapping asymptotically and the free boundary for a class of hyperbolic manifolds Department of Mathematics Bernoulli-type parabolic free boundary Weigandt, James,Ranksofellipticcurves Herr, John,Fourierseriesforsingular problems with variable coefficients and Selmer groups measures and the Kaczmarz algorithm Boswell, Jacob,Primesaturationsand Yim, Arnold, Homological properties of Rees algebras of almost linearly pre- determinantal arrangements Hogenson, Kirsten,Randomanddeter- ministic versions of extremal poset sented ideals Zhang, Wei,Toms-Winterconjectureand problems Chavez Casillas, Jonathan,Stochastic tracial state space with non-compact modeling of limit order books: Conver- extreme boundary Kingsley, Nicole,Skewpropogationtime gence of the prime process, simulation Lois, Brian,Correctnessresultsforon-line and applications Department of Statistics robust principal components analysis Chen, Binghe,Least-squarefiniteele- Chen, Ningning,Assessinginter-rater Martinez, Jose de Jesus,Modelingand ment method for singularly perturbed agreement for compositional data controllability of a heat equation with a problems and the Oseen problem Cheng, Longjie,Onmethodsforvariable point mass Choi, Heejun,Onseveralefficiental- selection under single index model and Palmowski, Kevin,Afractionalapproach gorithms for some partial differential DNA methylation status calling to minimum rank and zero forcing equations Choi, Meena,Aflexibleandversi- Roat, Jolie,On8p-dimensionalHopfalge- Cox, Britain,Supercuspidalrepresenta- tile framework for statistical design bras with the Chevalley property tions arising from stable vectors and analysis of quantitative mass Voller, Zachary, Limit theorems for per- De Silva, Randombage,Rankconstrained spectrometry-based proteomic experi- sistent random walks in cookie envi- homotopies of matrices and the Blacka- ments ronments dar-Handelman conjectures on C+- Lawlor, Michael,Calciumrequirement algebras distribution via bone growth modeling Department of Statistics Hines, Taylor,Theradiusofcomparison Navarro, Rolando,Malliavincalculusin Cheng, Xiaoyue,Interactivevisualization and mean typological dimension the canonical Lévy process: White noise for missing values, time series, and Kloster, Kyle,Graphdiffusionsandma- theory and financial applications areal data trix functions: Fast algorithms and Olafsson, Sveinn, Applications of short- Erciulescu, Andreea,Predictionvariance localization results time asymptotic methods to option for small area models when the covari- Legg, Alan,ApplicationsoftheBergman pricing and change-point detection for ate area mean is subject to estimation projection to quadrature domains and Lévy processes error the Khavinson-Shapiro conjecture Rounds, Jeremiah,Inferenceusingmulti- Follett, Lendie,Bayesiancontributionsto Luo, Yankeng,Small-timeexpansionsfor level genomic features sets and models the modeling of multivariate macroeco- local jump-diffusion models in RNA-Seq experiments nomic data McGee, Reginald,Modeling,analysis, Wang, Xiaoguang,Realizedkernelesti- Fortin, Daniel,Contributionstomodeling and control of Syk-mediated signal- mation of integrated volatility using spatially indexed functional data using ing events for B cells and associated high frequency with random trading areproducingkernelHilbertspace cellular response for B cells time framework

736 NOTICES OF THE AMS VOLUME 64, NUMBER 7 Doctoral Degrees Conferred

Marget, Wilmina,Experimentaldesigns Good, Jennifer,Weighedinterpolation Reynolds, John,Convergenceproperties for multiple responses with different over W*-algebras of Hausdorff closed spaces models Grove, Colin, A combinatorial approach Se, Tony,Depthandassociatedprimesof Maurer, Karsten,Applicationsoftech- to the Cabling conjecture modules over a ring nology and large data in statistics Honken, Annette,Mappingdistanceone Su, Chen,Somestudiesonparameter education and statistical graphics neighborhoods within knot distance estimations Osthus, David,Applicationsofandexten- graphs sions to state-space models Koffi, Gerard,Modulesandorbitsofthe University of Kansas Reiners, Jostein,Computermodelopti- regular action, and deformations of Medical Center (3) mization within hidden constraints incidence algebras Department of Biostatistics Simpson, Matthew,EssaysinBayesian Margolin, Benjamin, Non-commutative modeling and computing deformation rings Bimali, Milan,Alikelihood-basedap- Meyer, David,Universaldeformation proach to the assessment of large University of Iowa (28) rings and fusion sample convergence and model based clustering Applied Mathematical and Salazar, Nathan,ResonanceforMaass forms in the spectral aspect Garrard, Lili,ClassicalandBayesian Computational Sciences instrument development Savala, Paul,Computingspectraldata Fonley, Morgan,Effectsofoscillatory for Maass cusp forms using resonance Lei, Yang,Parametricandnonparametric forcing on hydrologic systems under models in health research: Design and Soto, Roberto,Universaldeformation extreme conditions: A mathematical analysis rings and semidihedral 2-groups modeling approach Wackwitz, Daniel,Versaldeformation Patterson, Catherine,Histomorphometry- Wichita State University (3) rings of modules over Brauer tree based modeling and simulation of mul- algebras Department of Mathematics, tiple myeloma bone disease Wassink, Luke,Splitcoversforcertain Statistics, and Physics Wang, Xiayi,Structuredmodelingand representations of classical groups simulation of articular cartilage lesion Badreddine, Mohamed,Acomparisonof formation: Development and validation some numerical conformal mapping Department of Statistics and methods for simply and multiply con- Yang, Boshi,Aconicoptimizationap- Actuarial Science nected domains proach to variants of the trust region subproblem Jiao, Feiran,High-dimensionalinference Liang, Li,Increasingstabilityinthe of ordinal data with medical applica- inverse problem for the Schrodinger¨ Zhang, Tianyi,Sourcerecoveryinbio- tions equation luminescence tomography based on radiative transfer Rinker, Patrick,PelletablationinToka- mak reactors Zhu, Chenhong,Newinsightintomodels KANSAS of cardiac caveolae and arrhythmia Kansas State University (5) KENTUCKY Department of Biostatistics Department of Mathematics Liu, Ke,Ajointmodelofaninternal University of Kentucky (13) time-dependent covariate and bivariate Alsulmi, Badria,GeneralizedJacobisums Department of Mathematics time-to-event data with an application modulo prime power to muscular dystrophy surveilllance, Bunch, Eric,K-theoryinalgebraicgeome- Cai, Yue,Newperspectivesofquantum tracking, and research network data try analogues Lu, Wenjinig,Monotonespline-basednon- Thapa Magar, Surya,Skeletaofaffine Constable, Jonathan,Kronecker’stheory parametric estimation of longitudinal curves and surfaces of binary bilinear forms with applica- data with mixture distributions Tran, Nhan,Numericalmethodsforsolv- tions to representations of integers as Pugh, Melissa A,ABayesianapproachto ing wave scattering problems sums of three squares detect time-specific group differences Fogarty, Neville,Onskew-constacyclic between nonlinear temporal curves Department of Statistics codes Tang, Fan,Structuraltimeseriescluster- Tong, Bo,Moreaccuratetwo-sample Liang, Qiao,Singularvaluecomputation ing, modeling, and forecasting in the comparisons for skewed populations and subspace clustering state-space framework Nelson, Sarah,Flag-f-vectorsofpolytopes Ten Eyck, Patrick,Problemsingeneral- University of Kansas (9) with few verticies ized linear model slection and predic- Solus, Liam,Polyhedralproblemsincom- tive evaluation for binary outcomes Department of Mathematics binatorical convex geometry Thomann, Mitchell,Theflexiblebivariate Alkrani, Shalan,ThreedimensionalJa- Wang, Hao,TheKrylovsubspacemeth- continual reassessment method cobian derivations and divisor class ods for the computation of matrix VanBuren, John M,Integratingindepen- groups exponents dent spatio-temporal replications to Han, Zheng,Reflecteddiffusionsand Department of Statistics assess population trends in disease application to finance spread Hu, Guannan,Fractionaldiffusionin Lou, Wenjie,Multi-statemodelswith Gaussian noisy environment missing covariates Department of Mathematics Huang, Leonard,Generalizedfixed-point Qi, Meng,Developmentinnormalmixture Borchers, Brian,Uniquelycleanelements, algebras for twisted C*-dynamical sys- and mixture of expert modeling optimal sets of units and counting tems Roualdes, Edward,Newresultsinell-1 minimal sets of units Li, Xi,DynamicsofadegenerateFokker- penalized regression Colon,´ Nelson,Localizedskeinalgebras Planck equation and its application Shen, Zhiyuan,Empiricallikelihoodand as Frobenius extensions Liu, Yanghui,Numericalsolutionsof differentiable functionals Czarnecki, Kyle,Resonancesumsfor rough differential equations and sto- Weyenberg, Grady,Statisticsinthe Rankin-Selberg products chastic differential equations Billera-Holmes-Vogtmann treespace

AUGUST 2017 NOTICES OF THE AMS 737 Doctoral Degrees Conferred

Zhu, Shihong,Empiricallikelihoodconfi- Smirnov, Aleksandr,Riemann-Hilbertfor- Mejia, Amanda, Statistical methods for dence band malism in the study of crack propaga- functional magnetic resonance imaging tion in domains with a boundary data University of Louisville (6) Yang, Yunyun,Anewmethodindis- Muschelli, John,Computationalmethods tribution theory with a non-smooth Department of Mathematics for neuroimaging in R: Stroke hemor- framework rhage in x-ray computed tomography Foreman, Erika,Orderautomorphisms scanning on the lattice of residuated maps of Tulane University (6) Pal Choudhury, Parichoy,Statisticalin- some special nondistributive lattices Department of Mathematics ference with multiple data sources Hoots, Lucas,Strongquotapairsystems Patil, Prasad,Assessingreproducibility Ahmadi, Elham,Boundaryintegralfor- and May’s theorem on median semilat- and value in genomic signatures tices mulation for flows containing an interface between two porous media Qiu, Huitong,Statisticalmethodsand Meng, Quancheng,Spreadingspeedsand theory for analyzing high dimensional Barker, Tyler,Amonadforrandomized traveling waves in some population time series models algorithms Sweeney, Elizabeth,Statisticalmethods Money, Chad,Chaosinsemiflows Jiu, Lin,Themethodofbracketsandthe Bernoulli symbol for analysis of structural magnetic Suer, Charles,ThePC-treealgorithm, resonance imaging in patients with Kuratowski subdivisions, and the torus Qu, Zhuolin,Fastoperatorsplittingmeth- multiple sclerosis ods for nonlinear PDEs Wang, Minghu,Mathematicalstudiesof Yue, Chen,Generalizations,extensions Sun, Mengyao,Algebraicpropertiesof the glucose-insulin regulatory system and applications for principal compo- squarefree monomial ideals models nent analysis Yang, Qiang, Macroscopic fiber motion in a polymeric fluid driven by a four- Johns Hopkins LOUISIANA roll-mill University (7) LSU Health Sciences University of Louisiana at Department of Applied Mathematics Center, New Orleans (3) Lafayette (4) and Statistics Department of Biostatistics Department of Mathematics Liu, Bo,Energycommoditypriceanalysis Ardah, Husam,Anewtwo-stagesampling Chellamuthu, Vinodh,Structurepopula- and trading strategies design for sensitive questions through tion models: Numerical methods and Yoder, Jordan,Onmodel-basedsemi- randomized response technique and applications to dynamics of amphibians supervised clustering direct questioning and chytridiomycosis Danos, Denise,Binaryregressionwith Li, Xinyu,Size-structuredpopulation Department of Mathematics stochastic covariates model with distributed states in the Beardsley, Jonathan,Coalgebraicstruc- Zhu, Han,Bayesiansequentialrandom- recruitment: Approximation and pa- ture and intermediate Hopf-Galois ex- ization designs for phase III clinical rameter estimation tensions of Thom spectra in quasicate- trials Miller, Robert Lloyd,Modelsfortheinter- gories actions of size structured populations Lorman, Vitaly,RealJohnson-Wilsonthe- Louisiana State and the environment ories and computations Sambandham, Bhuvaneswari,Analysisof University, Baton Mincheva, Kalina,Semiringcongruences sequential Caputo fractional differen- and tropical geometry Rouge (12) tial equations with applications Xue, Min,ConcerningtheKlein-Gordon Department of Mathematics equation on asymptotically Euclidean Adimurthi, Karthik,Globalaprioriesti- MARYLAND manifolds mates and sharp existence results for Zhu, Junyan,HoleprobabilitiesofSU(m+1) quasilinear equations on nonsmooth Johns Hopkins University Gaussian random polynomials domains Bloomberg School of Cross, Christopher Adam,Partialcosine- University of Maryland, Funk transforms at poles of the cosine- Public Health (13) Baltimore County (10) λ transform on Grassmann manifolds Department of Biostatistics Darweesh, Amer,Wavelets,coorbitthe- Department of Mathematics and Abreu, Francis,Definitionandestima- ory, and projective representation tion of intervention effects in complex Statistics D’souza, Kimberly,Excludingaweakly systems: Gender equity in academia Al-Najjar, Elias,ExtensionsofCook’s 4-connected minor Collado Torres, Leonardo,Annotation- principal fitted components for suffi- Grey, Jacob,Analysisofnonlineardisper- agnostic differential expression analy- cient dimension reduction sive model equations sis Baro, Elande,Bayesianlatentpropensity Hajij, Mustafa,Knots,skeintheoryand Fisher, Aaron,Methodsforhighdimen- score approach for average causal effect q-series sional analysis, multiple testing, and estimation allowing covariate measure- Hayajneh, Mostafa,Twistedreflection visual exploration ment error positivity Fortin, Jean-Philippe,Statisticalmethods Coulibaly, Zana,Calciumdynamicsfrom Hu, Ying,Left-orderability,cyclicbranched for epigenetic data and structural mag- randomly releasing sparks in cardiac covers and representations of the knot netic resonance imaging myocytes: Analyzing and simulating a group Huang, Lei, Statistical methods in high- probabilistic 3-dimensional mathemati- Lewchalermvongs, Chanun,Well-quasi- dimensional structured data cal model with point release sources ordering by the induced-minor relation Lu, Yi,Influencefunctionbasedstatis- Flouri, Marilena,Tolerancelimitsand Majed, Lieth,Topologicaldynamicson tical inference under various sampling confidence limits for cost-effectiveness compact phase spaces designs analysis

738 NOTICES OF THE AMS VOLUME 64, NUMBER 7 Doctoral Degrees Conferred

Karmakar, Moumita,Variableselection Hsiao, Chiao-Wen,Multivariatemeth- Deng, Xinyi,Pointprocessmodelingand in high dimensional complex data and ods for high-throughput biological estimation: Advances in the analysis of Bayesian estimation of reduction sub- data with application to comparative dynamic neural spiking data space genomics Fischer, Benjamin,Perturbedpolyhedra Khuvis, Samuel,Portingandtuningnu- Kuz, Elif,Quantitativederivationof and the construction of local Euler- merical kernels in real-world appli- effective evolution equations for the Maclaurin formulas cations to many-core Intel Xeon Phi dynamics of Bose-Einstein condensates Karnataki, Aditya,Twotheoremson accelerators Laun, Gregory,Fundamentaldomainsfor Galois representations and Shimura Plunkett, Amanda,Analysisandtesting proper affine actions of Coxeter groups varieties of sparse high dimensional discrete in three dimensions McCauley, Thomas,Chern-Weiltech- data Mendelowitz, Lee,Algorithmsforalign- niques on loop spaces and the Maslov Pottackal, Ginto,Sometests,confidence ment and visualization of genome map- index in partial differential equations limits and tolerance limits for assessing ping data with applications to structural Sanjari, Ali,Liquidationunderdynamic biosimilarity variant detection price impact Norwood, Adrienne,Bredvectors,singu- Wang, Ting,Parametricsensitivityanaly- lar vectors, and Lyapunov vectors in sis of stochastic reaction networks Boston University School simple and complex models of Public Health (5) Xi, Mingyu, Statistical modeling and hy- Okrah, Kwame, Shape analysis of high- pothesis testing of chemical-chemical throughput genomics data Department of Biostatistics interaction: A non-parametric approach Paulson, Joseph,Normalizationanddif- Choi, Seung Hoan, Evaluation of statis- University of Maryland, ferential abundance analysis of metage- tical methods, modeling, and multiple nomic biomarker-gene surveys testing in RNA-SEQ studies College Park (28) Rast, Richard,Thecomplexityofisomor- Griffin, Paula Jean,Biologicalnetwork phisms for some first order theorems Department of Mathematics models for inferring mechanism of Schmiedling, Scott,Strongshiftequiva- action, characterizing cellular pheno- Begue, Matthew,Expeditionindataand lence, algebraic k-theory, and isolating types, and predicting drug response zero-dimensional dynamics on mani- harmonic analysis on graphs Hong, Jaeyoung,Meta-analysisstrategies folds Brandon, Andrew,Capturingmicro-emul- for heterogeneous studies in genome- sions and micro-foams with the arbi- Stepanov, Alexey,Dynamicalandsteady- wide association studies state solutions of nonlinear viscoelas- trary Langrangian Eulerian method Rybin, Denis,Placeboresponsecharacter- ticity Civan, Gokhan,Identificationofoper- istic in sequential parallel comparison ators on elementary locally compact Weinberg, Daniel,Multiscaleanddirec- design studies tional representations of high-dimension- abelian groups Xue, Luting,Evaluationextensionofa al information content in remotely Clapp, Geoffrey, Applying mathematical kernel-based method for gene-gene in- sensed data models to study the role of the im- teraction tests of common variants mune system in chronic myelogenous Xue, Zhenyi, Bayesian estimation of the leukemia inbreeding coefficient for single nu- Brandeis University (4) cleotide polymorphism collected using Clark, Chae,Spectralframeanalysisand complex survey data Department of Mathematics learning through graph structure Zhong, Ming,Hierarchicalreconstruction Cui, Ran,Thereal-quaternionicindicator Cordes, Matthew,Morseboundariesof method for solving ill-posed linear proper geodesic spaces of irreducible self-conjugate represen- inverse problems tations of real reductive groups Deo, Shaunak,StructureofHeckealge- bras in two scenarios: Mod p modular Darmon, David, Statistical methods for forms and eigenvarieties analyzing time series data drawn from MASSACHUSETTS complex social systems Kelly, Tynan,Twistedlinkingnumbers Boston College (4) and Casson-Gordon invariants Das, Suddhasattwa,Chaosandquasiperi- odicity Department of Mathematics Ly, Tue,Diophantineapproximationin algebraic number fields and flows on Delgadino, Matias,Analysisofself- Hubbard, Diana,Propertiesandappli- homogeneous dynamics organization cations of the annular filtration on Doboszczak, Stefan,Existenceandweak- Khovanov homology Harvard T. H. Chan School strong uniqueness for the Navier- Romano, Beth,OnthelocalLanglands (9) Stokes-Smoluchowski system over mov- correspondence: New examples from of Public Health ing domains the epipelagic zone Biostatistics Department Saltz, Adam,Thespectralsequencefrom Forstall, Virginia,Iterativesolutionmeth- Antonelli, Joseph, Statistical methods for Khovanov homology to Heegaard-Floer ods for reduced-order models of param- analyzing complex spatial and missing homology and transverse links eterized partial-differential equations data Yarmola, Andrew,Convexhullshyper- Galagate, Douglas,Causalinferencewith Chakrabortty, Abhishek,Robustsemi- acontinuoustreatmentandoutcome: bolic in 3-space and generalized ortho- spectral identities parametric inference in semi-supervised Alternative estimators for parametric settings dose-response functions Boston University (7) Gurmu, Yared,Modelingandestimation Guay, Matthew,Sparsesignalrepresenta- of patterns of relationship formation tion in digital and biological systems Department of Mathematics and and dissolution Hafftka, Ariel,Tensorcompletionfor Statistics Hayeck, Tristan,Retrospectivemixed multidimensional inverse problems with Bai, Shuyang,Probabilisticandstatis- model and propensity score methods applications to magnetic resonance tical problems related to long-range for case control data relaxometry dependence Miles, Caleb,Semiparametricmethodsfor Harris, David, Algorithms and general- Curtis, Jessica,Classdiscoveryviafeature causal mediation analysis and measure- izations for the Lovász local lemma selection in unsupervised settings ment error

AUGUST 2017 NOTICES OF THE AMS 739 Doctoral Degrees Conferred

Ramchandani, Ritech,Rank-basedmeth- Huntley, Miriam,Quantitativemethods Wadhwa, Neal,Revealingandanalyzing ods for survival data with multiple for analyzing structure in genomes, imperceptible deviations in images and outcomes self-assembly, and random matrices videos Staples, Patrick,Onthestatisticalproper- Overvelde, Johannes,Embracingcom- Zhang, Ruixun,Economicbehaviorfrom ties of epidemics on networks pliance and instabilities to achieve an evolutionary perspective Sun, Baoluo, Semi-parametric methods function mechanical metamaterials and for missing data and causal inference devices Northeastern Yung, Godwin Yuen Han,Statisticalmeth- Wang, Pai,Phononiccrystalsandacoustic University (6) ods for analyzing genetic sequencing metamaterials association studies Department of Mathematics Massachusetts Institute Bade, Nathaniel,Anomaliesandholomor- Harvard University (22) of Technology (26) phy in supersymmetric Chern-Simons- matter theories Department of Mathematics Department of Mathematics Bolognese, Barbara,Tworesultsondi- Bland, Jason,Onthearithmeticofhyper- Alpert, Hannah,Specialgradienttrajec- visors on moduli spaces of sheaves elliptic curves tories counted by simplex straightening on algebraic surfaces: Generic strange Cavazzani, Francesco,Completehomo- Berchenko-Kogan, Yakov,Yang-Millsre- duality on abelian surfaces and Nef geneous varieties via representation placement cones of Hilbert schemes of points on theory Binder, John,Fieldsofrationalityof surfaces with irregularity zero Fintzen, Jessica,OntheMoy-Prasedfiltra- cuspidal automorphic representations Gamse, Elisheva,Twoexplorationsin tion and stable vectors Boger, Dorin,ParabolicSpringerresolu- symplectic geometry: I. Moduli spaces Matveev, Konstantin, q-deformed inter- tion of parabolic vector bundles over curves acting particle system RSKs and random Bottman, Nathaniel,Pseudoholomorphic II. Characteristics of quantisations of polymers quilts with figure eight singularity Hamiltonian actions of compact Lie Moon, Yong Suk,Galoisdeformationring Chang, Jui-En,The1-dimensionalλ-self groups on symplectic manifolds and Barsotti-Tate representation in the 2 shrinkers in R and the nodal sets of Lin, Yinbang,Modulispacesofstable relative case biharmonic Steklov problems pairs Perry, Alexander,Derivedcategoriesand Engel Shaposhnik, Efrat,Antichainsof Wang, He,Resonancevarieties,Chen birational geometry of Gushel-Makai internal orders and semiorders, and ranks and formality properties of varieties Dilworth lattices of maximum size finitely generated groups Tang, Yunqing,Algebraicitycriteriaand antichains Zhang, Rouran,Gaugetheoryandself- their applications Entova Aizenbud, Inna,Schur-Weyldual- linking of Legendrian knots Tynan, Philip,EquivariantWeisscalculus ity in complex rank and loop spaces of Stiefel manifolds Fei, Teng,Onthegeometryofthe Tufts University (5) Xie, Yi,Ontheframesingularinstan- Strominger system Department of Mathematics ton Floer homology from higher rank Grinberg, Darij,Studiesonquasisymmet- bundles ric functions Benson, Thomas,Multigrid-basedprecon- Zahariuc, Adrian,Degenerations,logK3 Guang, Qiang,Self-shrinkersandtrans- ditions for saddle-point problems pairs and low genus curves on algebraic lating solitons of mean curvature flow Bray, Sarah,Nonuniformhyperbolicityin varieties Hortsch, Ruthi,Countingellipticcurves Hilbert geometries Department of Statistics of bounded Faltings height Buckles, Kevin,Survivalnumbersof Lee, Yin Tat,Fasteralgorithmsforconvex groups and graphs with emphasis on Garcia-Horton, Viviana,TopicsinBayesian zd and Diestel-Leader graphs inference for causal effects and combinatorial optimization O’Connell, Meghan,Advancedtechniques Jones, David,Information:Measuringthe Li, Jiayong,A-infinityalgebrasforLa- grangians via polyfold theory for Morse in the computation of reduced order missing, using the observed, and ap- models and Krylov recycling for diffuse proximating the complete trees with holomorphic disks Lin, Francesco,Monopolesandpin(2)- optical tomography Li, Yang,Statisticalmethodsforlarge- Stark, Emily,Abstractcommensurabil- scale integrative genomics symmetry Liu, Zihan,TheMorseindexofmean ity and quasi-isometry classification of Lu, Jiannan,Oncausalinferencefor hyperbolic group amalgams ordinal outcomes curvature flow self-shrinkers Sosina, Sobambo,Analysis,modeling,and Mangoubi, Oren,Integralgeometry,Hamil- University of optimal experimental design under un- tonian dynamics, and Markov chain certainty: From carbon nano-structures Monte Carlo Massachusetts, to 3D printing Moll, Alexander,Randompartitionsand Amherst (6) the quantum Benjamin-Ono hierarchy Tak, Hyungsuk,TopicsinBayesianhier- Department of Mathematics and archical modeling and its Monte Carlo Rippel, Oren,Sculptingrepresentations Statistics computations for deep learning Toulis, Panagiotis,Implicitmethodsfor Simmons, Sean,Preservingpatientpri- Buskin, Nikolay,K3surfaces iterative estimation with large data sets vacy in biomedical data analysis Duanmu, Mei,Modeling,analysisand Zhao, Anqi,Timeforanewangle!Unravel Srinivasan, Padmavathi,Invariantslinked numerical simulations in mathemati- the mystery of split-plot designs via the to models of curves over discrete cal biology of traveling waves, Turing potential outcomes prism valuation rings instability and tumor dynamics Sun, Yi,Quantumintertwinersandinte- Oloo, Stephen,Equivariantintersection School of Engineering and Applied grable systems cohomology of Borel orbit closures in Science Vaintrob, Dmitry,Mirrorsymmetryand the wonderful compactification of a Gupta, Manish,Complexityreductionfor the K theory of a p-adic group group near real-time high dimensional filter- Viscardi, Michael,Equivariantquantum Ray, Evan,HiddenMarkovmodelsfor ing and estimation applied to biological cohomology and the geometric Satake physical activity classification and en- signals equivalence ergy expenditure estimation

740 NOTICES OF THE AMS VOLUME 64, NUMBER 7 Doctoral Degrees Conferred

Wang, Peng,Variableselectioninsingle Nagy, Akos,TheBerryconnectionand Kim, Giwan,Richardsonvarietiesina index varying coefficient models with other aspects of the Ginzberg-Landau toric degeneration of the flag variety lasso theory in dimension 2 Perez, Juan,Onconnectionsbetween Wilson, Tobias,Thetopologyoftheaffine Rey, Guillermo,Sharpestimatesinhar- invariants of singularities in zero and Springer fiber in type A monic analysis positive characteristics Tang, Qi,High-orderunstaggeredcon- Ricks, Russell, Flat strips, Bowen-Margulis Worcester Polytechnic strained transport method for magne- measures, and mixing of the geodesic Institute (4) tohydrodynamic equations flow for rank one CAT(0) spaces Shnidman, Ariel,Heightsofgeneralized Department of Mathematical Wang, Bao,Mathematicalmodelingand computation of solvation and binding Heegner cycles Sciences Wolf, Eric,Aparticle-in-cellmethodfor Su, Yi,Electricalnetworksandelectrical Ho, Nguyenho,Swimmingfilamentsina the simulations of plasmas based on an Lie theory of classical types viscous fluid with resistance unconditionally stable wave equation Wetzel, Alfredo,Threestratifiedfluid Kiley, Erin,Reduced-dimensionalcoupled solver models: Benjamin-Ono, tidal resonance, electromagnetic, thermal, and mechan- Xun, Wang,Anovelapproachtoblind and quasi-geostrophy ical models of microwave sintering source separation and extraction in Zhang, Tengren,DegenerationofHitchin Nika, Grigor,Multiscaleanalysisofemul- audio representations sions and suspensions with surface Zhao, Xiaolei,TopologicalAbel-Jacobi effects Michigan Technological mapping and Jacobi inversion Yin, Jiani,Bayesiannonparametricmod- University (3) els for multi-stage sample surveys Department of Statistics Department of Mathematical Bagchi, Pramita,Non-standardproblems MICHIGAN Sciences under short and long range dependence Baniabedalruhman, Ahmad,Dynamic Henderson, James,Methodsforrecon- Central Michigan meshing around fluid-fluid interfaces structing networks with incomplete information University (3) with applications to droplet tracking in contraction geometries Lu, Xi, Evaluation and comparison of Department of Mathematics Gorgin, Elaheh,Heuristicmethodsfor dynamic treatment regimes: Methods and challenges Lazar, Drew,Scaleanddimensionreduc- Tikhonov regularization tion in symmetric spaces Liang, Chao,Developmentofcomputa- Ma, Jing, Estimation and inference for high-dimensional Gaussian graphical Mohammad, Mutaz,Framebasedmethod tional methods for the investigation for investigating Gibbs phenomenon of liquid drop phenomena in external models with structural constraints Narisetty, Naveen Naidu,Statisticalanal- Soller, Katherine,Normalizableanduni- flows ysis of complex data: Bayesian model tarizable matrices Oakland University (4) selection and functional data depth Michigan State Nguyen, Dao Xuan,Iteratedfiltering Department of Mathematics and and smoothing with applications to University (17) Statistics infectious disease models Department of Mathematics Abdallah, Mohamad,Fault-tolerantHamil- Roy, Sandipan,Statisticalinferenceand Chen, Liping,Alinearhomotopymethod tonian-connectivity of 2-tree generated computational methods for large high- for computing generalized tensor eigen- networks dimensional data with network struc- pairs Alshorman, Areej,Mathematicalmodels ture Dahlberg, Samantha,Patternsandstatis- of HIV latent infection with time delays Xia, Donggeng,Measuringinfluenceand tics in partitions and restricted growth and age structure topic dependent interactions in social functions Beshaj, Lubjana,Integralbinaryforms media networks based on a counting process modeling framework Gao, Hongli,Minimizationofsomenon- with minimal height smooth convex functionals arising in Pate, Kevin,Quadratichomogeneous Zhou, Xiang,Threeessaysoneconomic micromagnetics Keller maps inequality and social mobility Hu, Xianfeng,Machinelearningmethod Wayne State University (8) for authorship attribution University of Michigan (24) Department of Mathematics Ivanisvili, Paata,Geometricaspectsof Department of Mathematics exact solutions of Bellman equations of Catanzaro, Michael,Atopologicalstudy harmonic analysis problems Acosta, Pedro,AgeneralLandau-Ginzburg/ of stochastic dynamics on CW com- Jin, Jiayin,Invariantmanifoldtheoryand Gromov-Witten correspondence plexes its applications to nonlinear PDEs DeWoskin, Daniel,Multiscalemodelingof Cui, Xiaoyue,Newcharacterizationsof Kim, Seonghak, The existence of Lipschitz coupled oscillators with applications to Sobolev spaces on Heisenberg groups, solutions to some forward-backward the mammalian circadian clock Carnot groups and higher order Sobolev parabolic equations Farmer, Brittan,Modelingandsimulation spaces on Euclidean space Kraitzman, Noa,Bifurcationandcompeti- of carbon nanotube growth Guo, Hailong,Recoverytechniquesfor tive evolution of network morphologies Gupta, Purvi,Fefferman’shypersurface finite element methods and their appli- in the strong functionalized Cahn- measure and volume approximation cations Hilliard equation problems Nguyen, Nhat,Onamulti-dimensional Liang, Yu,Themathematicalmodelsof Hathaway, Daniel,Dominationoffunc- singular stochastic control problem: nutritional plasticity and the bifurcations The parabolic case tions of a nonlocal diffusion equation Kadyriszova, Zhibek,Tightclosure,F- Ouyang, Wei,Well-posednessproperties Lui, Qinbo,Estimatesonsingularvalues purity, and varieties of nearly commut- in variational analysis with applications of functions of perturbed operators ing matrices Tian, Yuan,Finite-differencemethodsin Machen, Casey,Abelianvarietiesassoci- Kaye, Adam,ArithmeticoftheAsai optimal control of differential inclu- ated to cubic and quartic forms L-function for Hilbert modular forms sions

AUGUST 2017 NOTICES OF THE AMS 741 Doctoral Degrees Conferred

Yuan, Quan,Stochasticrecursivealgo- Patrias, Rebecca, Combinatorial construc- Jornaz, Abdelmonaem,Modelingdaily rithms with applications to consensus tions motivated by K-theory of the electricity load using splines and func- and particle swarm optimization Grassmannian tional principal components Zabka, Matthew,Cohomologyoperations Wang, Xu,Searching,clusteringandre- Liu, Xuejing,Ontestingcommonindices on random spaces gression on non-Euclidean spaces for several multi-index models: A link- Wei, Ning,Alternans,ephapticcoupling free approach Western Michigan and their relation to ventricular ar- Ozturk, Ozkan,Existenceandclassifica- University (2) rhythmias tion of nonoscillatory solutions of two dimensional time scale systems School of Statistics Department of Mathematics Zhong, Xiao,Essaysonunitroottesting Clark, Timothy, Resolving classes and Archila, Felipe Acosta,MarkovChain in time series resolvable spaces in rational homotopy Monte Carlo for linear mixed models LaForge, Elliot,Chromaticconnectivityof Knudson, Christina,MonteCarlolikeli- St Louis University (3) graphs hood approximation for generalization Department of Mathematics and Statistics MINNESOTA MISSISSIPPI Garbuz, Darren,Decomposinggluing maps for Heegaard diagrams in terms University of Mississippi State of Lickorish generators Minnesota—Twin University (3) Munden, James,Explicitformulaeforthe Department of Mathematics and exponential map for special families of Cities (22) deformed space forms Statistics Division of Biostatistics, School of Sykes, Kyle,Burntime:Computationand Bonyo, Job,Groupsofisometriesas- Public Health properties sociated with automorphisms of the Kim, Junghi,Statisticalmethodsforimag- half-plane University of ing genetics Calvert, Velinda,RationalBernoullifunc- Missouri—Columbia (15) Lee, Chi Hyun,Nonparametricandsemi- tions for solving problems on un- parametric methods for recurrent gap bounded domains Department of Mathematics time data Mashayehki, Somayeh,Hybridfunctions Bontz, Simon, Rectifiability and harmonic Musgrove, Donald,Spatialmodelsfor in fractional calculus measure large spatial and spatiotemporal data University of Coleman, Thomas,InertialChowrings Ray, Debashree,Statisticalmodelingand and a new asymptotic product testing for joint association in genome- Mississippi (2) Granger, Valerie,GIT-equivalenceand wide association studies Department of Mathematics semi-stable subcategories of quiver representations School of Mathematics Nakarmi, Janet,Onvariablebandwidth He, Danqing,WeakHardyspacesand kernel density and regression estima- Acosta, Javier,Convergenceinlawof paraproducts the centered maximum of the mollified tion Kline, Daniel,Locallysemi-simplequiver Gaussian free field in two dimensions Priddy, Bruce,Independentdomination representations Dilks, Kevin,InvolutionsonBaxterobjects of subcubic graphs Lynch, Richard,Subsequencesofframes and q-gamma nonnegativity and their operators Fu, Guosheng,Devisingsuperconvergent University of Southern Renner, Andrew,AfoliatedSeiberg- HDG methods by M-decompositions Mississippi (2) Witten theory Garver, Alexander,Onthestructureof Department of Mathematics Schmutzler, Brock,Calderon-Zygmund´ oriented exchange graphs Cibotarica, Alexandru,Solutionofnon- theory for single integral operators Goh, Ryan,Patternformationinthewake linear time-dependent PDEs through associated with second-order elliptic of external mechanisms componentwise approximation of ma- partial differential systems on rough Goodson, Heidi,Hypergeometricfunc- trix functions subdomains of Riemannian manifolds tions and arithemtic properties of alge- Kuo, Lei-Hsin,Ontheselectionofagood Spencer, Patrick,Someresultsinconvex braic varieties shape parameter for RBF approximation geometry Leifeld, Juliann,Smoothandnonsmooth bifurcations in Welander’s ocean con- Department of Statistics vection mode MISSOURI Cheng, Yuan,BayesiananalysisoffMRI Mak, Cheuk Yu,Rigidityofsymplectic data and RNA-seq time course experi- fillings, symplectic division and Dehn Missouri University of ment data twist exact sequences Science and Liu, Sifan,Partiallyinformativenormal McConville, Thomas,Biclosedsetsin Technology (7) and partial spline models combinatorics Nicholas, Alan,Functionaldataanalysis: McIntyre, Stephen,Understandingand Department of Mathematics and Children’s mathematical development analyzing APD alternans Statistics Tong, Xiaojun, Bayesian smoothing spline Melbourne, James,Convexmeasuresand Abdurasul, Emad,Smallsampleconfi- models and their application in estimat- associated geometric and functional dence bands for the survival function ing yield curves inequalities under the proportional hazards model Wu, Ho-Hsiang,Nonlocalpriorsfor O’Connell, Rosemary,Acomputational Cuchta, Thomas,Discreteanaloguesof Bayesian variable selection in GLM and study of cortical spreading depression some classical special functions GLMM and their application in biology Olson, Derek,Formulationandanalysis Edirisinghe, Pasan,Smallsamplesaddle- data of an optimization-based atomistic-to- point confidence intervals in epidemi- Yang, Yiqun,Bayesianhierarchicalmod- continuum coupling algorithm ology els for estimating nest survival

742 NOTICES OF THE AMS VOLUME 64, NUMBER 7 Doctoral Degrees Conferred

University of NEBRASKA Machmer-Wessel, Keely,Discussion,task Missouri—Kansas City (1) selection, and novice teachers’ under- University of standing of the common core math practices Department of Mathematics and Nebraska—Lincoln (12) Statistics McClain, John,Asupercell,Blochwave Department of Mathematics method for calculating low-energy elec- Menning, Melissa,Cohomologyoffinite Behrens, Sarah,Graphcenters,hyper- tron reflectivity with applications to modules over short Gorenstein rings graph degree sequences, and induced- free-standing graphene and molybde- saturation num disulfide Washington University (7) Dailey, Douglas,RigidityoftheFrobe- Wen, Baole,Porousmediumconvection nius, Matlis reflexivity, and minimal flat at large Rayleigh number: Studies of Department of Mathematics resolutions coherent structure, transport, and reduced dynamics Boyett, Casey,Graphswitheigenvaluesof Dyer, Scott,ThestricthigherGrothendieck high multiplicity integral Kerian, Anne,Crosscapnumber:Hand- Chu, Cheng,Threeproblemsinoperator NEW JERSEY cuff graphs and unknotting number theory and complex analysis Nu’man, Anisah,Tamefillingfunctions Montclair State Cox, Chris,No-slipbilliards and closure properties University (1) Fernandes da Silva Jr, Genival Francisco, Reynolds, Sara,Dynamicsofinteracting On the limiting behavior of variations populations: Consumer-resource sys- Mathematical Sciences Department of Hodge structures tems and evolutionary outcomes for Abi-Hanna, Rabab,Howdomanipula- Keast, Ryan,Someresultsinhigher cannibalistic spiders tives help students communicate their weight Hodge theory Roth, Zachary,Analysisofneuronalse- understanding of double-digit subtrac- quences using pairwise biases tion? Liu, Bingyuan,Severalcomplexvariables, complex geometry and their applica- Schafhauser, Christopher,Generalizations (16) tions of AF-embedding theorems of Brown Princeton University and Pimsner Department of Mathematics Passer, Ben,NoncommutativeBorsuk- Shultis, Katherine,Systemsofparameters Ulam theorems and the Cohen-Macaulay property Collins, Dan,Anticyclotomicp-adic L- functions and Ichino’s formula Thompson, Peder,Stablelocalcohomol- ogy Dowlin, Nathan,Khovanov-Rozanskycom- plexes in the knot Floer cube of resolu- MONTANA Trageser, Jeremy,Localandnonlocal tions models in thin-plate and bridge dynamics Harron, Piper,Theequidistributionof Montana State lattice shapes of rings of integers University (6) Department of Statistics of cubic, quartic, and quintic number fields Department of Mathematical Hao, Xiaojuan,VariationalBayesianin- ference on phylogenetic trees, with Sawin, Will,ATannakiancategoryanda Sciences applications to metagenomics horizontal equidistribution conjecture for exponential sums Bergren, Hannah,Onabstracttilingac- tions, expansiveness and local structure Schweinhart, Benjamin,Statisticaltopol- NEW HAMPSHIRE ogy of embedded graphs Heberling, Tamra,Mathematicalmod- Truong, Linh,ApplicationsofHeegaard- eling for transcription of DNA with Dartmouth College (5) Floer homology to knot concordance pausing: Stochastic model with torque, and diffusive transport model Department of Mathematics Varma, Ila,Onlocal-globalcompatibility for cuspidal regular algebraic automor- Jackson, Benjamin,Transportofdis- Cianci, Donato,OnthePoissonrelation phic representations of GLn solved and particulate material in for lens spaces Wang, Xuecheng,Globalsolutionsfor biofilm-lined tubes and channels Epstein, Jonathan,Dynamicsofmagnetic flows on nilmanifolds the gravity water waves system: Infinite Malo, Robert,Discreteextremallengths depth setting and flat bottom setting Hein, Jeffery,Orthogonalmodularforms of graph approximations of Sierpinski´ Xiu, Yang,Ellipticinvolutioninbordered carpets Infeld, Ewa,Uniformavoidancecou- Heegaard-Floer homology pling, design of anonymity systems and Samuels, Shari,Theevolutionofprospec- matching theory Zhang, Ruobing,Regularity,quantitative tive elementary teacher’s compenten- geometry and curvature bounds cies Petit, Nicolas,Finite-typeinvariantsof order one for framed and long virtual Program in Applied Computational Weeding, Jennifer,Bayesianmeasurement knots Mathematics error modeling with application to the area under the curve summary measure University of New Chan, Yuk Fung,Financialmodelsfor commodity, energy and equity markets Hampshire (5) University of Hammoud, Naima,Oninstabilitiesin Department of Mathematics and thin-film flows Montana—Missoula (2) Statistics Joe-Wong, Carlee,Smartdatapricing Department of Mathematical Benson, David,ExtensionsofMFalge- Li, Qianxiao,Phasetransitionandfree Sciences bras and volume entropy in finite von action of non-equilibrium systems Neumann algebras Tai, Cheng,Multi-scaleadaptiverepre- Joyce, Kevin,Pointspreadfunctionesti- Chaar, May,Secondarypreservice,in- sentation of signals: Models and algo- mation and uncertainty quantification service, and student teachers’ noticing rithms Palmer, Cody,Thedynamicsofvector- of mathematical work and thinking in Wang, Chu, Collective behavior in network- borne relapsing diseases trigonometry based dynamical systems

AUGUST 2017 NOTICES OF THE AMS 743 Doctoral Degrees Conferred

Rutgers The State Rutgers The State Medina, Erik,LiftsofFrobeniusonarith- University of New Jersey University of New Jersey metic jet spaces of schemes Wei, Yonghua,Dynamicgeneralizedex- New Brunswick (20) Newark (1) treme value via particle filters Department of Statistics and Department of Mathematics and Zhou, Lang,Neymansmooth-typegood- ness of fit tests in complex surveys Biostatistics Computer Science Wang, Pei,RelativeRipsmachineandthin Chang, Kun,Topicsincompositional, type components of bound complexes NEW YORK seasonal and spatial-temporal time series Stevens Institute of Binghamton University, Fan, Yi,Newnonparametricapproaches Technology (3) State University of New for multivariate and functinal data analysis in outlier detection, construction Department of Mathematical York (6) Sciences of tolerance tubes and clustering Department of Mathematics and Mitra, Priyam,Topicsinmodelaveraging Davidson, James,Mathematicaltheoryof Science and toxicity models in combination condensing coagulation Bustamante, Mauricio,Onthetopologyof therapy Flynn, Christopher,Hurstparameteres- the space of pinched negatively wired timation of a discretely sampled Ito Shu, Heng,Improvedmethodsforcausal metrics with finite volume and identical inference data combination integral with fractional Brownian mo- ends tion driven integrand Diao, Qinggang,Coxproportionalhaz- Wu, Yaoshi,Higherordermultivariatein- Heinig, Monika,Onneighborcomponent ards model with time-dependent co- ference using approximation methods order edge connectivity variates Mathematics Department Ding, Ding,CanonicalBarsotti-Tategroups NEW MEXICO of finite level Borda, Bence,Thenumberoflattice Lu, Qiyi,Learningpartiallylabeleddatain points New Mexico Institute of the high-dimensional, low-sample size Chien, Edward,Squaretilingofsurfaces Mining and Technology (2) setting from discrete harmonic 1-chains Penta, Diego,Decompositionoftherank Department of Mathematics 3Kac-MoodyLiealgebras with respect Coulson, Bud,AnaffineWeylgroupinter- F to the rank 2 hyperbolic subalgebra pretation of the “motivated proofs” of Leguy, Gunter,Theeffectofabasal- Fib the Gordon-Andrews-Bessoud identities friction parameterization on grounding- Zhu, Yilin,Estimationoferrordistribu- line dynamics in ice-sheet models tion function in a varying coefficient Cowan, Charles Wes,Optimaldatauti- Miller, Gabrielle,Urbanblastwaves:A model lization for goal-oriented learning semi-analytic solution for intense ex- Garnett, Brian,Smalldeviationsofsums plosions with rigid wall reflections Clarkson University (3) of random variables Department of Mathematics and Kaya, Burak, Cantor minimal systems New Mexico State Computer Science from a descriptive perspective University, Las Cruces (5) Gajamannage, Kelum, Manifold learning Kim, John,Probabilisticandpolynomial Department of Mathematical and dimensionality reduction in collec- methods in additive combinatorics and Sciences tive motion coding theory Anderson, Meredith,Charactervarieties Jayawardana, Veroni,Inferencesonfi- Larenas, Manuel,Anabstractapproach of twice-punctured torus bundles bromyalgia regression models and multiple imputations on missing values to pointwise decay estimates for dis- Basyal, Deepak,A1933Nepalimathe- persive equations Quansah, Emmanuel,Investigationof matics and astrology book ´Sis’ubodha three species predator-prey food chain Nuer, Howard,ModuliofBridgeland Taran˙gini˙II: Translation and commen- models in ecology: “Ecological” damp- stable objects on an Enriques surface tary on mathematics chapters ing, Allee effects and environmental Russell, Matthew,Usingexperimental Fawaz, Zahi,Boundedarchimedeanf- noise mathematics to conjecture and prove rings theorems in the theory of partitions and Paudel, Lokendra,Thegroupofinvertible Columbia University (22) commutative and non-commutative re- fractional ideals of a Prufer¨ intersection currences of valuation rings Department of Applied Physics and Applied Mathematics Seuffert, Francis,Anextensionofthe Tian, Weizhong,Thedistortionriskmea- Bianchi-Egnell stability estimate to Bakry, sures and multivariate distributions Harnett, Sean,Optimizationmethodsfor Gentil, and Ledoux’s generalization of based on skew-normal settings power grid reliability the Sobolev inequality to continuous Jenkinson, Michael,Bifurcationofon-site dimensions and an application University of New and off-site solitary waves of discrete Shar, Nathaniel,Experimentalmethods Mexico (6) nonlinear Schrodinger¨ type equations Lee-Thorp, James,Bifurcationperspective in permutation patterns and bijective Department of Mathematics and proof on topologically protected and non- Statistics protected states in continuous systems Trinh, Tien,Estimatesonnon-decaying Bizzozero, David,Studiesofcoherent Whittaker functions synchroton radiation with the discon- Department of Mathematics Wilson, Glen, Motivic stable stems over tinuous Galerkin method Benoist, Stephane,Conformallyinvariant finite fields Gong, Ming,Improvingthematerialpoint random planar objects Xiao, Jianguo,Multi-centervectorfield method Bruggeman, Cameron,Dynamicsoflarge methods and some applications for Konda, Sahitya,Spatialdecayofrotating rank-based systems of interacting dif- dispersive equations waves and restrictions on finite disks fusions

744 NOTICES OF THE AMS VOLUME 64, NUMBER 7 Doctoral Degrees Conferred

Castellano, Robert,Kuranishiatlasesand Wilson, Kyle,Robustlymodelingtheworld Yang, Heng,Stochasticprocessesand genus zero Gromov-Witten invariants from photos their applications to change point de- Filip, Ioan,Alocalrelativetraceformula Zhou, Zhengyi,Predictingambulancede- tection problems for spherical varieties mand Zhou, Hengyu,SomeBernsteintypere- Gimre, Karsten,Isometricembeddings sults of graphical self-shrinkers with Department of Mathematics and quasi-local energy high codimension in Euclidean space Heyman, Andrea,Dualizationanddefor- Belanger, David, Sets, models and proofs: mation of the Bar-Natan-Russel skein Topics in the theory of recursive func- New York University module tions Tandon School of Krishna, Rahul,Relativetraceformulafor Benea, Cristina,Vector-valuedextensions Engineering (1) for singular bilinear operators and so2 SO3 and the Waldspurger formula × applications Department of Mathematics Krishnamoorthy, Subrahmanya,Graph Chong, Kai Fong Ernest,Facevectorsand theory, dynamics, and Barsotti-Tate Gbedemah, Amakoe,OntheLp theory of groups: Variations on a theme of Hilbert functions positive definite matrices Mochizuki Clavier, Lucien,Non-affinehorocycle- Liu, Zheng,Nearlyoverconvergentforms invariant ergodic measures on strata of New York University, and p-adic L-functions for symplectic translation surfaces Courant Institute (23) groups Jung, Joeun,IteratedtrilinearFourier Courant Institute of Mathematical Pal, Vivek,Simultaneoustwistsofelliptic integrals with arbitrary symbols Sciences curves and the Hasse principle for Kara, Yasemin,TheLaplacianonhy- certain K3 surfaces perbolic Riemann surfaces and Maass Askham, Travis,Integral-equationmeth- Potashnik, Natasha,Derivedcategoriesof forms ods for inhomogeneous elliptic partial moduli spaces of semistable pairs over Kern, Thomas,Nonstandardmodelsof differential equations in complex ge- curves the weak second order theory of one ometry Smirnov, Andrey,Quantumdifference successor Calvo, Juan,Domaindecompositionmeth- equations for quiver varieties Kesler, Robert,Unboundedmultilinear ods for problems in H(curl) Wang, Chongli,Analternativeproofof multipliers adapted to large subspaces Chen, Nan,Filteringandpredictingcom- genericity for the unitary group in three and estimates for degenerate simplex plex nonlinear turbulent dynamical sys- variables operators tems with model error Messick, Scott,Continuousautonoma Wang, Yinghui,Viscositycharacteriza- Denlinger, Ryan,Thepropagationof tions of explosions and arbitrage compactness, and Young measures chaos for a rarefied gas of hard spheres Zlatev, Radoslav,Examplesofimpliciti- in vacuum Zhao, Jingyu,Periodicsympleticco- zation of hypersurfaces homologies and obstructions to La- Fang, Fang,Hydrodynamicinteractions grangian immersions between self-propelled flapping wings Graduate Center, City Greenberg, Spencer,Machinelearningat Department of Statistics University of New York (16) extremes Agne, Michael,Anassortmentofunsu- PhD Program in Mathematics Guadagni, Joseph,Numericalsolverfor pervised and supervised applications to the two-dimensional Vlasov-Poisson equa- large data Arettines, Chris,Ontherelationshipbe- tions in gyrokinetic variables tween intersection angles of geodesics Hershkovits, Or,Meancurvatureflow: Chen, Yunxiao,Latentvariablemodeling and hyperbolic metrics on surfaces and statistical learning Smoothing, regularity and isoperimetric Blair, David,Countingrestrictedinteger properties Franco Saldana, Diego,Advancesin partitions model selection techniques with appli- Jagannath, Aukosh,Variationalandstruc- cations to statistical network analysis Cavallo, Bren,Algorithmicpropertiesof tural methods in mean field spin glasses and recommender systems poly-Z groups and secret sharing using Jiang, Tian,Adaptivegeometricsearch non-commutative groups Shahn, Zachary,Methodsforpersonal- for protein design Fischer, Aron,Masseyproductsinstring ized and evidence based medicine Kuznetsov, Vitaly,Theoryandalgorithms topology for forecasting non-stationary time se- Cornell University (18) Florez, Jorge,Explicitreciprocitylawsfor ries higher local fields Lee, Dooheon,Stableboundariesof Biological Statistics and Karabulut, Cihan,Onsumsofbinary CAT(0) groups Computational Biology Hermitian forms Lewis, Michael,Bayesiananalysisand Bolotskikh, Alexandra,Postselectionin- Kramer-Miller, Joseph,P-adicL-functions Monte Carlo sampling in the study of ference and the geometry of Hida families cryo-electron microscopy Quinn, Joseph,Quaternionalgebrasand Munoz Medina, Andres,Learningtheory Center for Applied Mathematics hyperbolic 3-manifolds and algorithms for auctioning and Gushchin, Andrey, Synchronization of Rivera, Manuel,Onstringtopologyop- adaptation problems coupled oscillators: Heterogeneity and erations and algebraic structures on Park, Hyungbin,TheMartingaleextrac- plasticity Hochschild complexes tion method with applications to fi- Joo Park, Hyung,Topicsinstructurede- Sosnovski, Bianca,Cayleygraphsofsemi- nance termination of submicron sized objects groups and applications to hashing Qian, Jin,Contractionofalgebraicpoints Kloumann, Isabel,Behaviors,interac- Spizzirri, Nicholas,Anaveragingmethod Ryan, Jeffrey,Probabilistictopicmodels tions, and communities in networks for advection-diffusion equations of fragmented DNA for rapid organism Randles, Evan,Convolutionpowersof Taam, Alexander,Equationsoverhyper- identification complex-valued functions and some bolic groups Seo, Insuk,Largescalebehaviorofinter- related topics in partial differential Vidaurre, Elizabeth,Cohomologyofcer- acting Brownian motions equations tain polyhedral product spaces Widmayer, Klaus,Ondispersiveeffects Toupo, Danielle,Nonlineardynamicsof West, Lloyd,Themodulispaceofrational in inviscid fluids and non-uniqueness cycles in evolutionary games maps of weak wave maps

AUGUST 2017 NOTICES OF THE AMS 745 Doctoral Degrees Conferred

Wu, Chenyue,Energydistanceindata- Hao, Xue,Factor-augmentederrorcor- Medina, Anibal, E-infinity comodules and driven distribution analysis rection model with time varying coeffi- topological manifolds Xiao, Xiao,Surfacebouyancydynamicsin cients Sobolev, Yury,Tritangentsofspherical the ocean He, Fei,Developmentandapplication curves Yu, Bing, The effects of flow on the of an integrated parallel platform on Ying, Chi, On the route to chaos for two- equilibrium state of a plasma short-read sequences assembly dimensional modestly area-contracting Zhong, Xingxin,Principaldynamicalcom- Hu, Wenlin,Statisticalmomentsinvariable- analytic maps ponents: Methods, properties and fi- density incompressible Rayleigh-Taylor Zhang, Zili,Multiplicativityofperverse nancial applications flows filtration for Hilbert schemes of fibered Huang, Jiayu,Aconstrainedfunctional surfaces New York University, linear model for multi-loci genetic mapping Syracuse University (1) Stern School of Huang, Kan,Greedylocalroutingand Business (1) geometric hitting problem Department of Mathematics IOMS-Statistics Group Huang, Ya-Ting,Stochasticshortterm Biermann, Patrick,Lipschitzgeometryof forecasting of cloud boundaries Banach and metric spaces Cao, Wen,Threeessaysinmodrendata Jiang, Lingling,Structure-baseddrugde- analysis: Drift in asset price models, sign targeting HIVgp41 The University of Albany, amixedmodelapproachfortextre- Lee, Hyejoo,Clusteringandclassification SUNY (5) views, and improved survival trees for methods for prediction of the risk for competing risks data developing disease Department of Mathematics and Lee, Soyoun,Multi-markerlinkagedis- Statistics Rensselaer Polytechnic equilibrium mapping of quantitative Institute (7) trait loci Choi, JaeYong,Convergenceofasmooth random average and its variation in- Mo, Hua,Estimationofalphastable Department of Mathematical equality distribution and tempered stable distri- Sciences bution Guzman, Maxine,Swanmodulesofele- Altrichter, Scott,Flightpathoptimization Qi , Huan,High-resolutiondetectionof mentary abelian 2-groups over quadratic for resolution and coverage in Synthetic change-point with low coverage single- imaginary fields Aperture Radar (SAR) cell sequencing data Hepworth, Emily,Generatorsforkofa Chen, Jiaming,Electricalimpedenceto- Ruan, Tingjun,Multiple-objectiveclus- category with cofibrations mography and D-bar equation tering analysis Ramer, Kevin,Oncombinatorialformulas DiLorenzo, Tyson,Classifyingmicro- Shi, Xiang,Advancedapplicationsof for non-symmetric Macdonald polyno- tubual network using curvature cal- generalized hyperbolic distributions in mials culation of discrete curves portfolio allocation and measuring di- Wood, Daniel,Onmonomialresolutions Kim, Jerry,Timereversaloperationfor versification supported on posets distributed systems in stationary and Wang, Bing,Monotonicitypropertiesof dynamic environment stochastic kriging metamodels in se- University at Nambirajan, Srinivas,Topicsinmatrix quential setting and a new adaptive Buffalo—SUNY (12) approximation sampling method for prediction Department of Biostatistics Pyzza, Pamela,Idealizedmodelsofinsect Yu, Kwang Min,Computationalrelativis- olfaction tic electrodynamics: New algorithms, Baker, Mark,Acollectionofprocedures parallel software, and applications to for non-standard hypothesis testing Rosenthal, Joseph,Mathematicalmodels accelerator design of amyloid-beta production, aggrega- problems in order restricted spaces Yu, Riyu,Logbandfractionapproxima- tion, and treatment in Alzheimer’s Chen, Xiwei,Newstatisticalprocedures tion for covariance estimation and low disease with parametric and nonparametric volatility likelihood structures with applications Stony Brook University (35) Zhang, Li,Influencepropagationmodel- to evaluations of discriminant ability ing and applications in finance of biomarkers measured with/without Department of Applied Mathematics Zhang, Na, Design and analysis of parallel measurement errors and Statistics argorithms for multiscale modeling of Dibaj, Seyedeh Shira,Exacttestsin platelets Chen, Hao,Developmentofanoveldou- different dichotomous data analysis ble neural network and its applications Zhang, Xiao,Regimeswitchingfrac- problems tionally integrated GARCH in dynamic Chen, Hsin-Chiang,ScalableLagrangian Golzy, Mojgan,Mixedeffectsmodelingof volatility modeling partical algorithms for compressible recurrent events: A generalized frailty fluid dynamics Zhang, Yuzhong,Assetpricinginintra- model approach day trading Citovsky, Gui, Geometric optimization Liu, Xiaobin,Selectedmethodsforcorre- Zhou, Sichen,Multiplechange-pointses- problems in sensor networks lated binary data, model selection and timation in GARCH models Conley, Rebecca,Overcomingelement homogeneity tests quality dependence of finite element Department of Mathematics Ren, Xing,Novelmethodsforestimating methods Adams, Joseph, Infinitely primitively null distributions in gene and gene Dong, Xiaojin,Anewstochasticregime renormalizable polynomials of bounded pathway analysis for large scale hy- switching model with time-varying re- type pothesis testing gression coefficients and error vari- Hao, Cheng,Regularizedgeometryofthe Yang, Luge,Somenovelapplicationsof ances loop space empirical likelihood methods Feng, Tian,Anempiricalstudyon Lin, Tsung-Yin,Onthelocalisometric 3 Department of Mathematics concentration-QTc model embedding in R of surfaces with zero Gong, Xiaoxue, Turbulent combustion sets of Gaussian curvature forming Liang, Bingbing,Meandimension,mean study of scamjet problem cusp domains length, and von Neumann-Luck¨ rank

746 NOTICES OF THE AMS VOLUME 64, NUMBER 7 Doctoral Degrees Conferred

Orenstein, Adam, An algebra of functions Schifeling, Tracy,Combininginforma- Rahmoeller, Margaret,Ondemurecrys- on the unit circle and Toeplitz operators tion from multiple sources in Bayesian tals for the quantum affine algebra in symmetrically-normed ideals modeling ˆ Uq(sl(n)) Rosas, Michael,Onthestructureof St Thomas, Brian,Linearsubspaceand Turner, Bethany,Somecriteriaforsolv- Specht modules in weight three blocks manifold learning via extrinsic geome- able and supersolvable Leibniz algebras of symmetric algebras try Varga, Katherine,Portfoliooptimization Ruppe, Dennis,OntheAJ-conjecturefor with stochastic dividends and stochas- certain families of satellite knots North Carolina State tic volatility Sartwell, Matthew,Detectingmapping University (27) Wheeless, William,Additionalsymmetries spaces and derived equivalence of alge- of the extended Toda hierarchy braic theories Department of Mathematics Adoteye, Kaska,Biologicalapplications University of North University of Rochester (6) of uncertainty quantification, including Carolina at Chapel Hill (40) Department of Biostatistics and multiscale Daphnia Magna population modeling Computational Biology Department of Biostatistics Al-Kateeb, Ala’a Qasim,Structureand Choi, Byeongyeob,Statisticalcontribu- Chen, Tian,Anewclassoffunctional properties of cyclotomic polynomials tions to non-experimental studies response models for robust regression Battista, Christina,Parameterestimation Chung, Yunro,Statisticalcontributionsto analysis of viscoelastic models in a 1-D circula- order restricted inference for survival Chowdhry, Amit, Missing data in meta- tory network analysis data analysis Bishop, Abigail,Involutionposetson Daza, Eric,Longitudinalregressioncon- Tran, Thanh Van,Thresholdboolean non-crystallographic coveter groups network inference and experimental ditioning on continuation Bock, Brandon,Algebraicandcombinato- design Deng, Yu,Generalizedchange-pointhaz- rial properties of statistical models of ard models with censored data Xia, Changming,Generalizedsemipara- ranked data metric linear mixed-effects models Hammill, Bradley,Theuseofpropensity Bookman, Lake,Approximatesolutions score methods to address confounding of the Landau-Lifshitz equations Department of Mathematics by provider Burch, Tiffany,SupersolvableLeibniz Kotok, Malcolm, Computing zeta func- Lam, Diana,Innovativemethodsfor algebras tions of nondegenerate hypersurfaces some statistical issues in clinical trials Chen, Guanyu,Accurategradientcom- over finite fields Ni, Ai (Andy),Variableselectionfor putation for elliptic interface problems Straub, Denitza,Numericalandmicrolo- case-cohort studies with failure time with discontinuous and vaiable coeffi- cal analysis of inverse problems with outcome cients internal data O’Brien, Jonathon, Statistical methods for Cooley, Brett,Sequentialprogramming proteomics for PDE constrained optimization Ou, Fang-Shu,Quantileregressionmod- NORTH CAROLINA Daleo, Noah,Algorithmsandapplications els for interval-censored failure time in numerical elimination theory data Duke University (12) Fregosi, Anna,Calibrationofthermalsoil Roy, Pourab,Non-parametricandsemi- properties in the shallow substance Department of Mathematics parametric estimation in forward and Hoang, Phuong,Supervisedlearningin Diaz, Humberto, Finite-dimensionality, backward recurrence time data baseball pitch and Hepatitis C diagnosis Chow-Kunneth¨ decompositions and in- Rudra, Pratyaydipta,Statisticaltoolsfor tersections of cycles Holodnak, John,Topicsinrandomized general association testing and control algorithms for numerical linear algebra Leverson, Caitlin June,Augmentationand of false discoveries in group testing rulings of Legendrian links Ivy, Samuel,Classifyingthefinestruc- Stewart, Thomas,Statisticallearningwith tures of involutions acting on root Potter, Harrison David Parke,Modeling missing data systems temperature dependence in Mangioni- Sun, Hengrui,Controllingmultiplicityin driven thin-films Jiang, Hansi,Modularitycomponentanal- confirmatory clinical trials ysis Temamogullari, Nihal Ezgi,Mathematical Wise, Alison,Makingrobustuseof modeling of perifusion cell structure Kennedy, Emese,Swing-upandstabiliza- parental genotype data for finding ef- experiments tion of a single inverted pendulum: fects of variants on the X-chromosome Real-time implementation Wang, Kangkang,Determinant,wallmon- Yang, Hojin,Learningmethodsinrepro- odromy and spherical functor Landi, Amanda,Thenonnegativematrix ducing kernel Hilbert space based on factorization: Methods and applications high-dimensional features Department of Statistical Science Long, Colby,Algebraicgeometryofphy- Zhou, Xin,Machinelearningtechniques Chang, Shih-Han,Interfacesbetween logenetic models for optimal treatment regimes Bayesian and frequentist multiple test- Mason, Sarah,Conjugacyclassesofmax- ing imal k-split Tori invariant under an Department of Mathematics Glynn, Christopher,Advancesindynamic involution of SL(n,k) Brandon, Namdi,Novelintegrationin modeling and computation for count Nance, James,Investigatingmolecular time methods via deferred correc- data dynamics with sparse grid surrogate tion formulations and space-time par- Irie, Kaoru,Bayesianemulationforse- models allelization quential modeling, inference and deci- Ngamini, Melissa,Nonlinearfiltering Grudzien, Colin,Themethodofgeomet- sion analysis problems for systems governed by ric phase as a reformulation of the Johndrow, James,Bayesianinferencein PDEs Evans function for reaction diffusion large-scale problems Ozbag, Fatih,Stabilityanalysisofcom- equations McClure, David,Relaxationsofdifferen- bustion waves in porous media Hoover, Alexander,Frompacemakerto tial privacy and risk/utility evaluations Panza, Nicole,Modelingfolliclewave vortex ring: Modeling jellyfish propul- of synthetic data and fidelity measures dynamics in the menstrual cycle sion and turning

AUGUST 2017 NOTICES OF THE AMS 747 Doctoral Degrees Conferred

Jin, Yuan,Rheologyandflowofmucusin Huang, Wei,Framewaveletsinhigh Case Western Reserve human bronchial epithelial cell cultures dimension University (7) Lax, David,Combinatorialstructuresin Lee, Unkyung,Analysisofsemiparamet- the coordinate rings of Schubert vari- ric regression models for the cumu- Department of Mathematics, Applied eties lative incidence functions under the Mathematics and Statistics Moore, Ryo,ExtensionsofJ.Bourgain’s two-phase sampling designs Bruno, Paul,Rademachersums,Hecke double recurrence theorem Turhan, Nezihe,Limittheoremsforone operators, and moonshine Mukherjee, Mayukh,Variational class of ergodic Markov chains Callahan, Margaret,Bayesianparameter approaches to nonlinear Schrodinger¨ Zinser, Brian,High-orderintegralequa- estimation and inference across scales and Klein-Gordon equations tions for electromagnetic problems in Hoehner, Steven,Thesurfaceareade- Schuster, Michael,Rankreductionof layered media with applications in biol- viation of the Euclidean ball and a conformal blocks ogy and solar cells polytope Sherman, Cass,Weightstretchingin Yu, Lijun,SequentialMonteCarloesti- moduli of parabolic bundles and quiver mation for dynamic brain imaging in representations NORTH DAKOTA magnetoencephalography Tzou, Chung-Nan,Formulationofunder- water plumes and velocity variations North Dakota State Department of Epidemiology and due to entertainment in stratified envi- (7) Biostatistics ronments University, Fargo Borsay Hall, Noemi,Geneticsofmetabolic Department of Mathematics Department of Statistics and syndrome in the women’s resistance to Operation Research Altmann, Hannah,SemidualizingDG infection, progression to active disease, host genetics and mycobaterium Feng, Qing,Non-iterativejointandin- modules over tensor products tuberculosis lineage dividual variation explained and auto- Aung, Pye,Gorensteindimensionsof matic Toda transformation rings of the form R C Chan, Philip Kit-Man,Mentalhealthand ⊕ sexual minorities in the Ohio Army Kimes, Patrick,Newstatisticallearning Dunn, Thomas,Integralclosureandgen- National Guard approaches with applications to RNA- eralized multiplicity sequence Seq data Natanzon, Yanina,Geneticsofmetabolic Habtemicael, Semere,Modelingfinan- syndrome in the Women’s Interagency Lamm, Michael,Confidenceintervalsfor cial swaps and geophysical data using HIV Study (WIHS) solutions to stochastic variational in- Barndorff-Nielsen and Shephard model equalities Singh, Jayant,Optimizationproblems Kent State University, Li, Gen,Integratedanalysisofmultiple arising in stability analysis of discrete (4) data sets with biomedical applications time recurrent neural networks Kent Liu, Minghui,Elementaryreformulation Spanier, Mark,L1-approximationinde Department of Mathematical and succinct certificates in conic linear Branges spaces Sciences programming Totushek, Jonathan,Homologicaldimen- Shi, Wen,Applicationsoffiducialinfer- Hoffman, John,Someproblemsinaddi- sions with respect to a semidualizing tive number theory ence to biology complex Wang, Dong,Somestatisticalapproaches Livshyts, Galyna,Onthegeometryof to the analysis of matrix-valued data log-concave measures Wang, Ling,Statisticalchallengesin OHIO Lyons, Corey,Inducedcharacterswith genomic-wide association study equal degree constituents Wilson, James,Ahypothesistestingap- Air Force Institute of Tang, Tunan,ExtensionsofGauss,block proach to assessing and identifying Gauss and Szegoquadraturerules,with˝ significant structure in network models Technology (2) applications Xie, Yuying, Estimation of graphical mod- Department of Mathematics and Ohio State University, els with biomedical applications Statistics Yin, Leicheng,MonteCarlostrategiesin Columbus (12) option pricing for SABR model Knight, Emily,Modelingradiationef- Department of Statistics Yin, Liang,Confidenceregionsandin- fectiveness for inactivation of bacillus tervals for sparse penalized regression spores Hu, Zhengyu,InitializingtheEMalgo- using variational inequality techniques Seymour, Richard,Testingtheadequacy rithm for data clustering and subpopu- Yu, Guan,Flexiblesupervisedlearning of a semi-Markov process lation detection techniques with applications in neuro- Landgraf, Andrew,Generalizedprinci- science Bowling Green State pal component analysis: dimensionality Zhai, Haojin,Principalcomponentanaly- University (5) reduction through the projecting of sis in phylogenetic tree space natural parameters Department of Mathematics and Olsen, Andrew,Wheninfinityistoolong University of North Statistics to wait: On the convergence of Markov chain Monte Carlo methods Carolina at Charlotte (6) Chen, Ying-Ju,Jackknifeempiricallikeli- hood and change point problems Petraglia, Elizabeth, Estimating county- Department of Mathematics and level aggravated sexual assault rates Statistics Li, Songzi,K-groups:Ageneralizationof by combining data from the National K-means by energy distance Erturk, Huseyin,Limittheoremsforran- Crime Victim Survey and the National dom exponential sums and their appli- Li, Yi,Goodness-of-fittestsforDirichlet Incident-Based Reporting System cations to insurance and the random distributions with applications Risser, Mark,Spatially-varyingcovariance energy model Liu, Yang,Variableselectionutilizingthe functions for nonstationary spatial pro- Fairchild, Michael,Symmetryandcon- whole solution path cess modeling straints in hydrodynamics and mechan- Paler, Mary Elvi,Onmodernmeasures Stettler, John,Thediscretethreshold ical locomotion and tests of multivariate independence regression model

748 NOTICES OF THE AMS VOLUME 64, NUMBER 7 Doctoral Degrees Conferred

Thomas, Zachary,Bayesianhierarchical Liu, Gang,AnewapproachtoANOVA Department of Statistics space-time clustering methods methods for autocorrelated data Skalland, Timothy,Anevaluationofde- Vaidynathan, Sivaranjani,Bayesianmod- Mei, Jingning,Inferenceforautoregres- sign and inference in special topics of els for computer model calibration and sive coefficients and error distribution group sequential procedures prediction Pokharel, Krishna,Anisospectralflowfor Wang, Lu,Nonparametricestimationof Wang, Xiaomu,RobustBayesinhierar- complex upper Hessenberg matrices additive models with shape constraints chical modeling and empirical Bayes Tang, Lin,Efficientinferenceforpe- analysis in multivariate estimation Zhuo, Bin,Higher-levelanalysisofRNA- riodic autoregressive coefficients with Seq experiments: Multiple data sets and White, Staci,Quantifyingmodelerrorin polynomial spline smoothing approach multiple genes Bayesian parameter estimation Yang, Hui,Adjustingforboundingand Portland State time-in sample effects in NCVS property OKLAHOMA crime rate estimation University (6) Zaetz, Jiaqi,ARiemannianframeworkfor Oklahoma State Fariborz Maseeh Department of shape analysis of annotated 3D objects University (3) Mathematics and Statistics Harb, Ammar,DiscretestabilityofDPG Ohio University, Athens (3) Department of Mathematics methods Department of Mathematics Xie, Xiaoju, Statistics of the number James, Carolyn,Developmentofmid- Gong, Xue,Dynamicalsystemsincell of real zeros of random orthogonal dle school teachers’ knowledge and division cycle, winnerless competition polynomials pedagogy of justification models, and tensor approximations Xu, Pengcheng,Pantsblockdecomposi- Mahoney, James,Treegraphsandorthog- Nguyen, Son,Topicsonsufficientdimen- tion of 3-manifolds onal spanning tree decompositions sion reduction Zhang, Yujie,AweakGalerkinmixedfi- Olivares, Nicole,Accuracyofwavespeeds Oduro, Bismark,Mathematicalmodelsof nite element method for linear elasticity computed from the DPG and HDG meth- Chagas disease equations ods for electromagnetic and acoustic waves University of University of Oklahoma (7) Strand, Krista,Intermediategradesteach- Cincinnati (11) ers’ noticing of the mathematical qual- Department of Mathematics ity of instruction Department of Mathematical Sciences Bauer, Sean,OntheexistenceofKAM Strand, Stephen, II,Theintermediate tori for presymplectic vector fields value theorem as a starting point for Barrera, Juan,Quenchedasymptoticsof Ho, Nancy,Controllabilityoflinear inquiry-oriented advanced calculus the discrete Fourier transforms of a and nonlinear control systems related stationary process through simulation relations University of Oregon (5) Bellman, Jacob,Phaseresponseopti- Kahlil, Estapraq,Existenceandstability mization of the circadian clock in Department of Mathematics of solutions to a model equation for Neurospora crassa dispersion-managed solitary waves Arbo, Matthew,Zonotypesandhyper- Caicedo Caceres, Miguel Andres,Well- tonic varieties Tang, Shiyun,Someresultsontheel- posedness and control of the Korteweg- Hilburn, Justin,Hypergeometricsystems de Vries equation on a finite domain liptic equations and modeling seasonal dynamics of human influenza and projective modules in hypertonic Duan, Li,Bayesiannonparametricmeth- category O Turki, Salam,Therepresentationsoverp- ods with applications in longitudinal, Iverson, Joseph,Framesgeneratedby adic fields associated to elliptic curves heterogeneous and spatiotemporal data actions of locally compact groups Wright, Rachel,Totallyreflectedgroups Estep, Dewey,Primeendboundariesof Muth, Robert,Representationsof domains in metric spaces and the Yamamoto, Tetsuya,Categorizingstu- Khovanov-Lauda-Rouquier algebras of Dirichlet problem dents’ difficulties with proof construc- affine Lie type tion Fox-Neff, Kristen,Inversemethodsin Welly, Adam,Thegeometryofquasi- parameter estimation for High Intensity Sasaki manifolds Focused Ultrasound (HIFU) Guo, Yixuan,Bayesianmodelselection OREGON for Poisson and related models PENNSYLVANIA Li, Xining,Preservationofboundedgeom- Oregon State University (8) etry under transformations of metric Carnegie Mellon Department of Mathematics spaces University (17) Lopez, Marcos,Discreteapproximations Costa, Timothy, Hybrid multiscale meth- of metric spaces with controlled geom- ods with applications to semiconduc- Department of Mathematical Science etry tors, porous media and materials sci- Cheng, Zhe,Endogenousmortgagecur- Molina, Sergio,Semi-regularsequences ence rent coupons over F2 Do, Hieu,Newfamiliesofpseudo-Anosov Gunther, William,Someresultsonclassi- Zhang, Zongjun,Adaptiverobustregres- homeomorphisms with vanishing Sah- cal semantics and polymorphic types Arnoux-Fathi invariant sion approaches in data analysis and Jiang, Zilin,Problemsindiscretegeome- their applications Loke, Sooie Hoe,Ruinproblemswithrisky try and extremal combinatorics investments University of Toledo (5) Liu, Jing,Numericalapproximationsof McGregor, Duncan,Compatiblediscreti- problems that arise in elasticity zations for Maxwell’s equations with Department of Mathematics and Murray, Ryan,Someasymptoticresults general constitutive laws Statistics for phase transition models Sherson, Brian,Someresultsinsingle- Karki, Manoj,InvariantRiemannianmet- Rodriguez, Daniel,ModelsofR-super- rics in four dimensional Lie groups scattering tomography compactness

AUGUST 2017 NOTICES OF THE AMS 749 Doctoral Degrees Conferred

Sae-Sue, Tanawit,Radnerequilibriumin Droz, Daniel,OrthogonalsetsofLatin Zhan, Xiang,Kernelmachinemethods infinite and finite time-horizon Lévy squares and class-r hypercubes gener- with applications to high-throughout models ated by finite algebraic systems data Weston, Kimberly,Marketstabilityin Gafni, Ayla,Asymptoticformulaein nonequivalent markets and the Martin- analytic number theory Temple University (10) gale property of the dual optimizer Huang, Zhan,Nonlocalmodelswith Department of Statistical Science convection effects Department of Statistics Khanmohammadi, Ehssan,Quantization Afriyie, Prince,Applicationsofproce- Asta, Dena,Geometricapproachesto of coadjoint orbits via positivity of dures controlling the tail probability of inference: Non-Euclidean data and net- Kirillov’s character formula the false discovery proportion works Maler, Adrian,EffectivetheoryofLevy Banton, Dwaine,ABayesiandecision Bellone, Gaia,Clusteringstrategiesfor and Feller processes theoretic approach to fixed sample size determination and blinded sample size DNA genotyping Peng, Guangzhong,Quantizationofaffine re-estimation for hypothesis testing Bodea, Corneliu,Amethodtoexploitthe coadjoint orbits structure of genetic ancestry spaces to Qiao, Changhe,Generalpurposecom- Chen, Aiying,Multipletestingprocedures enhance case-control studies positional simulation for multiphase under group sequential design Ciollaro, Mattia,Nonparametrictech- reactive flow with a fast linear solver Gehman, Andrew,Theeffectsofspa- niques for functional data analysis Wang, Haining,AnticyclotomicIwasawa tial aggregation on spatial time series Huang, Shiqiong,Highdimensionalsparse theory for Hilbert modular forms modeling and forecasting precision matrix estimation Yang, Kai,Stablediscretizationandro- Gilbert, Elizabeth,Thevalidityofsum- Lu, Cong,Understandingthegenetic bust preconditioning for fluid-structure mary comorbidity measures basis of schizophrenia by using RNA- interaction Huang, Ke,Optimalreducedsizechoice sequencing data Yelton, Jeffrey,HyperellipticJacobians sets with overlapping attributes Stern, Rafael,Astatisticalcontribution and their associated ℓ-adic Galois rep- Lee, Bu Hyoung,Theuseoftemporallyag- to historical linguistics resentations gregated data on detecting a structural Ventura, Samuel,Large-scaleclassifica- Zelenberg, Aleksey,Rokhlindimension change of a time series process tion and clustering methods with appli- for C∗-correspondences Liu, Yanping,Newapproachestomultiple cations in record linkage testing of grouped hypotheses Department of Statistics Wang, Lawrence,Networkcomparisons Minster, Angela,Model-freevariablese- using sample splitting Bagyan, Armine,Centrallimittheorems lection through sufficient dimension for randomly modulated sequences of reduction Drexel University (4) random vectors with resampling and Xiao, Jing,SomeresultsonParetooptimal applications to statistics Department of Mathematics choice sets for estimating main effects Cho, Youngjoo,Semiparametricanalysis and interactions in 2n and 3n factorial Armstrong, Jeffrey,Thehomotopythe- of failure time data in the presence of plans ory of modules of curved A-infinite dependent censoring categories Christou, Eliana,Anon-iterativemethod University of Minner, Michael,Compressivesensing for fitting the single index quantile Pennsylvania (22) applied to MIMO radar and spares regression model with uncensored and disjoint scenes censored data Department of Applied Mathematics Smith, Jonah,Anewclassofintegrable Goldstein, Joshua,Compartmental,spa- and Computational Science tial and point process models for surfaces related to Bertrand curves Gu, Shi,Controltheoreticanalysisof infectious diseases Tang, Xuezhi,Synchronizationofcou- human brain networks pled dynamical systems on Cayley and Huang, Yuan,Projectiontestforhigh- random graphs dimensional mean vectors with optimal Department of Biostatistics and direction Epidemiology Lehigh University (5) Liu, Yang,Approachestoreduceand integrate data in structured and high- Gamerman, Victoria,Statisticalmethods Department of Mathematics dimensional regression problems in for time-conditional survival probabil- Clearman, Samuel,Combinatorialas- genomics ity and equally spaced count data pects of Hecke algebra characters Park, Sae Na, Classification of transients Kennedy, Edward H,Doublyrobustcausal Cui, Xin,Oncurvature,volumegrowth by distance measures inference with complex parameters and uniqueness of steady Ricci solitons Shen, Wejie,Dimensionalanalysisin Kobie, Julie,Sparsesimultaneoussignal Dumnich, Sarah,Ameasuretheoretic statistics: Theories, methodologies, and detection with applications in genomics approach to the construction of scaling applications Li, Jiaqi,Modelingapproachesforcost functions for wavelets Song, Won Chul,Nonparametricindepen- and cost-effectiveness estimation using Ferahlar, Cuneyt,AWeitzenbockformula dence screening and test-based screen- observational data for compact complex manifolds and ing via the variance of the regression Shi, Pixu,Statisticalmethodsforcom- applications to the Hopf conjecture in function positional and tree-structured count real dimension 6 Wang, Ningtao,Ablockmixturemodelto data Wildman, Mackenzie,TheDobric-Ojeda map eQLTs for gene clustering Wan, Fei,Instrumentalvariableand process with applications to option Wang, Yaqun,Inferenceofgeneregula- propensity score methods for bias pricing and the stochastic heat equation tory network based on gene expression adjustment in non-linear models dynamics in response to environmental Pennsylvania State signals Department of Mathematics University (26) Xu, Zhuying,Locallystationaryquantile Astrand, Matti,Liftingproblemsandtheir regression for inflation and interest independence of coefficient field Department of Mathematics rates Frankel, Brett S,Representationsoffun- Bannangkoon, Pichkitti,C∗-algebras in Yu, Ye,NewproceduresforCox’smodel damental groups of abelian varieties in Kirillov theory with high dimensional predictors characteristic p

750 NOTICES OF THE AMS VOLUME 64, NUMBER 7 Doctoral Degrees Conferred

Gilula, Maxim M.,Arealanalyticapproach Tanase, Roxana,Parameterestimation Trask, Nathaniel,Compatiblehigh-order to estimating oscillatory integrals with of partial differential equations using meshless schemes for viscous fluid nondegenerate phases stochastic methods flows through ℓ2-optimization Jang, Jin Woo,Globalclassicalsolutions to the relativistic Boltzmann equation Department of Statistics University of Rhode with angular cut-off Chen, Xiaotian,Associationanalysisof Island (2) Kjuchukova, Alexandra,Ontheclassifi- successive events and diagnostic accu- cation of irregular dihedral branched racy analysis for competing risk data Department of Mathematics covers of four-manifolds Gu, Hong,Statisticalapproachesinthe Armstrong, Addie,Degree-limiteddefec- Mo, Li-Ping,Hitpolynomialshaveonly RDOC paradigm for post-mortem brain tive 3-colorings of planar graphs real roots tissue studies Denette, Erin,MinimalCantorsets:The Poh, Julius Wei Quan,Shapeandother Simsek, Burcin,Stochasticmodelswith combinatorial construction of ergodic properties of 1324-avoiding permuta- applications to imaging and neuro- families and semi-conjugations tions science Pun, Ying Anna,Ondecompositionof Wei, Yafei,Estimation,modelselection the product of Demazure atoms and and resilience of power law distribu- SOUTH CAROLINA Demazure characters tions Sundstrom, James D.,Lowerboundsfor Ye, Cong,Multiplechange-pointdetec- Clemson University (13) tion for piecewise stationary categorical generalized regulators Department of Mathematical time series Tofts, Spencer,Ontheexistenceofso- Sciences lutions to the Muskat problem with surface tension Buckingham, Patrick,Onthetransient PUERTO RICO behavior of queueing processes Wharton Department of Statistics University of Puerto Rico, Chao, Shih-Wei,Toricheapsandcyclic Fogarty, Colin,Modernoptimizationin reducibility in Coxeter groups (4) observational studies Rio Piedras Dowling, Michael,Expandergraphsand Johnson, Kory,Discretemethodsinstatis- Department of Mathematics coding theory tics: Feature selection and fairness- Cui, Bo,Exponentialrankandclassi- Finney, Michael,Estimatingsinglegen- aware data mining fication of AH-algebras using Morse der classroom effects using propensity Peng, Peichao,Essaysinproblemsin theory scores and matching sequential decisions and large-scale Innocent, Jean K.,Bayesfactorsconsis- Grotheer, Rachel,Hyperspectraldiffuse randomized algorithms tency for nested linear models with optical tomography using the reduced Satopaa, Ville,Partialinformationframe- increasing dimensions basis method and sparsity constraints work: Basic theory and applications Li, Ang,Bayesiancalibrationofp-values He, Qijun,Algebraicgeometryarising Weinstein, Asaf, Empirical Bayes estima- under multiple comparisons: Bounds from discrete models of gene regulatory tion in cross-classified Gaussian models and new approximations networks with unbalanced design Qin, Hu,Coderaisedfromhypercube Hedetniemi, Jason,Problemsindomina- University of graph and completed graph tion and graph products Jiang, Chendi,Reliabilityanalysisofload- Pittsburgh (15) RHODE ISLAND sharing models Department of Biostatistics Leverenz, Jonathon,Networktargetcoor- dination for multiparametric program- Brown University (10) Chen, Jia-Yuh,Jointmodelingofbivariate ming longitudinal and bivariate survival data Department of Mathematics in spouse pairs Priyadarshani, Hewa Arachchige Anu- radha,Bayesianminimumdescription Ghebrehawariat, Kidane,Parametricin- Carter, Paul,Fastpulseswithoscillatory length techniques for multiple change- ference on quantile residual life tails in the FitzHugh-Nagumo system point detection Jiang, Yingda,Gene-basedassociation Culiuc, Amalia,Weightedestimatesof Strauss, Thilo,Statisticalinverseprob- testing of dichotomous traits using gen- Calderon-Zygmund operators on vector- lems in electrical impedance and dif- eralized functional linear mixed models valued function spaces fuse optical tomography for family data Newkirk, Edward,Billardswithbombs Johnson, Geoffrey,QualityadjustedQ- Ou, Yumeng,Multi-parametercommu- Tu, Shiyi,ObjectiveBayesiananalysison learning and conditional structural tators and new function spaces of the quantile regression mean models for optimizing dynamic bounded mean oscillation Xu, Honghai,Problemsindomination treatment regimes and graph products Division of Applied Mathematics Wang, Tianxiu,Competingrisksregres- sion under random signs censoring Aghajani, Mohammadreza,Infinite- Medical University of using pseudo-values dimensional scaling limits of stochastic South Carolina (6) networks Department of Mathematics Ahn, Seonmin,Bayesianinferenceinsta- Department of Public Health Sciences Grady, Daniel,Steenrodsquaresand tistical analysis of paleoclimate records Carroll, Rachel,Modelselectionforhi- Massey products in Deligne cohomol- Deng, Mingge,Dissipativeparticledy- erarchical Poisson modeling in disease ogy namics for anisotropic particles and mapping He, Peng,Mathematicalanalysisofcredit electrostatic fluctuations: A fully La- Fan, Liqiong,Covariatemisclassification default swaps grangian approach under covariate-adaptive randomiza- Liu, Lifeng,Twononlinearlatticeprob- Makrides, Elizabeth,Existenceandstabil- tion: Understanding the impact and lems in materials ity of localized planar patterns method for bias correction Moraiti, Marina,Coupledgroundwater- Sanchez Uribe, Manuel,Finiteelement Nicholas, Katherine,Covariateadjust- surface water flows: Effect small physi- methods for interface problems using ment in non-inferiority trials: Implica- cal parameters and numerical methods unfitted meshes: Design and analysis tions for type I errors

AUGUST 2017 NOTICES OF THE AMS 751 Doctoral Degrees Conferred

Payne, Elizabeth, Statistical methods for Fofana, Demba,OnsomeBayesianand Shao, Yuanzhen,Theoryofparabolic modeling count data with overdisper- empirical Bayes procedures for analyz- differential equations on singular man- sion and missing time varying categori- ing gene expression data ifolds and its applications to geometric cal covariates Kester, Merve,Approximationsbygener- analysis Rotejanaprasert, Chawarat,Develop- alized discrete singular operators Su, Yujian,Diseaseminimalonflattori ments in clustering and surveillance Madahian, Behrouz,Statisticalshrink- and four-point maximal polarization on for spatial health data age methods for classification, pre- S2 Voronca, Delia,Marginalinferencefor diction, and feature extraction using positive outcomes with a point mass at genomewide gene expression data and TEXAS zero small sample sizes University of South Sokolov, Yury,Dynamicsofdiscreteand Baylor University (12) continuous spatially distributed sys- Carolina (11) tems Department of Mathematics Department of Mathematics Graham, Curtis,Boundaryconditions University of Tennessee, dependence of spectral zeta functions Faulkner, Nathan,Commutatorstudies in pursuit of finite basis result Knoxville (13) Nelms, Charles,Eigenvaluecomparison theorems for certain boundary value Lane, Michael,Avoidingdoubledwords Department of Mathematics problems and position solutions for in strings of symbols Allen, Brian,Non-compactsolutionsof afifthordersingularboundaryvalue Rorabaugh, Daniel,Towardthecombina- problem torial limit of free words inverse mean curvature flow in hyperbolic space Nguyen, Huy,Krylovmethodsforsolving Short, Taylor,Someextremalandstruc- asequenceoflargesystemsoflinear Austin, Kyle,Geometryofscales tural problems in graph theory equations Smith, Heather,Trees,partitions,and Bintz, Jason,Populationmodelingfor Streit, Brian,Conformalmappingmeth- other combinatorial structures resource allocation and antimicrobial ods for spectral zeta function stewardship Wang, Che,Fastmethodsforvariable- Tennant, Tim,Chaoticpropertiesofset- coefficient peridynamic and non-local Collins, Craig,Domaindecomposition valued dynamical systems diffusion models methods for discontinuous Galerkin Wicks, Quinn,Glazman-Krein-Naimark approximations of elliptic problems Department of Statistics theory, left-definite theory and the DeSilva, Kokum,Investigatingadvection square of the Legendre polynomials Bao, Junshu,Developmentandapplica- control in competitive PDE systems and differential operator tion of Bayesian semiparametric models environmental transmission in Johne’s for dependent data Yang, Zhao,AmultigridKrylovmethod disease ODE models for eigenvalue problems Cipolli, William,Bayesiannonparametric Golenbiewski, Kyle,KineticMonteCarlo approaches to multiple testing, density models for crystal defects Department of Statistical Sciences estimation and supervised learning Holloway, Michael,Dualityofscales Wu, Haifeng,FrailtyProbitmodelsfor Chen, Wencong,Bayesianmodelsfor clustered interval-censored failure time Jum, Ernest,Numericalapproxiamtionof unmeasured confounder in the analysis data stochastic differential equations driven of time-to-event data Yao, Bin,Semiparametricregressionanal- by Lévy motion with infinitely many Eschmann, Mark,Bayesianmethodsto ysis of panel count data and interval jumps estimate the accuracy of a binary censored failure time data Levy, Benjamin,Modelingferalhogsin measurement system Zhou, Haiming,Bayesiansemi-andnon- Great Smoky Mountains National Park Guo, Yuanyuan,TopicsinBayesianadap- parametric analysis for spatially corre- Lewis, Elizabeth,Thecongruence-based tive clinical trial design using dynamic lated survival data zero-divisor graph linear models and missing data imputation in logistic regression Li, Yukun,Numericalmethodsforde- TENNESSEE terministic and stochastic phase field Marcovitz, Michelle,Bayesianmodelsfor models of phase transition and related short sequences of correlated binary geometric flows variables possessing first-order Markov Middle Tennessee State dependence Manathunga, Vajira,TheConwaypoly- University (3) Tecson, Kristen,TopicsinBayesianmod- nomial and amphicheiral knots Department of Mathematical els with ordered parameters: Response Sunkes, James,Hankeloperatorsonthe misclassification, covariate misclassifi- Sciences Drury-Arveson space cation, and sample size determination Gaddy, Angeline,Identificationofobsta- cles to transitioning to reform-oriented Vanderbilt University (7) Rice University (17) instruction among high school mathematics teachers Department of Mathematics Computational and Applied Mathematics Department Gerstenschlager, Natasha,Identifyingthe Corson, Samuel,Subgroupsandquotients supports needed by a sixth grade of fundamental groups Gandham, Rajesh,Highperformance teacher implementing a reform-oriented, Gao, Min,Age-structuredpopulation high order numerical methods: Ap- statistics unit models with applications plications in ocean modeling Liang, Xiao,Efficientnumericalmethods Jiang, Jiayi,Quantizationinsignalpro- Huang, Yin,Bornwaveforminversionin ¨ for nonlinear Schrodinger equations cessing with frame theory shot coordinate domain Medina, David,Okl:Aunifiedlanguage Jones, Corey,Annularrepresentationthe- University of Memphis (5) for parellel architectures ory with applications to approximation Department of Mathematical Whaley, Meagan,Dynamicsofbrainnet- and rigidity properties for rigid C∗- Sciences tensor categories works during reading Dogan, Ali,Onsaturatedgraphsand Northington, Michael, V,Balian-Lowtype Wood, Cynthia,Cliquegeneralizations combinatorial games theorems for swift-invariance spaces and related problems

752 NOTICES OF THE AMS VOLUME 64, NUMBER 7 Doctoral Degrees Conferred

Department of Mathematics Chan, Wai Kit,Perturbationsofcertain Texas State University (7) crossed product algebras by free groups Acosta, Jorge,Holonomylimitsofcyclic Department of Mathematics opers Gin, Craig,Topicsinstabilityanalysis Bower, Rachel,Casesofnoticinginlin- Durgin, Natalie,Geometricinvariantthe- of multi-layer Hele-Shaw and porous guistically diverse mathematics class- ory quotient of the Hilbert scheme of media flows rooms six points on the projective plane Goldsmith, Aaron,LASSOasymptotics Hanusch, Sarah,Theuseofexamplesin Funk, Quentin,Twovariantsonthe with heavy tailed error atransition-to-proofcourse plateau problem Grimley, Lauren,BracketsonHochschild Huang, Andy,Handlecrushingharmonic cohomology of noncommutative alge- Herrera, Christine,Theeffectofthe maps between surfaces bras conceptualization of limits on proof comprehension Ince, Kenan, The untwisting number of a Gu, Cong,Computationalmechanicsfor knot aircraft water entry and wind energy Mejia Colindres, Carlos Alberto,Theme- Hamm, Keaton,Ontheinterpolation diating role of mathematical translan- Vance, Katherine,Tauinvariantsofspa- guaging tial graphs of smooth functions via radial basis functions Melnikova, Yuliya, Alignment in students, Department of Statistics Johnson, Maya,Acontinuingmechan- teaching assistants and instructors on the purpose and practice of calculus I Chiang, Sharon,HierarchicalBayesian ics model of stress mediated arterial labs models for multimodal neuroimaging growth during hypertension using an data Eulerian frame Smith, Shawnda,Geometryteachingknowl- edge: A comparison between pre-service Flores Castillo, Nicolas,Stochasticmod- Liu, Jiayin,Quantifyinguncertaintyfor and high school geometry teachers eling of cancer tumors using Moran an elliptic inverse problem with finite models and an application to cancer data Starkey, Christina,Reflectivejournaling genetics Moon, Minam,Generalizeddiscontinuous as a tool to support learning mathemat- Kim, Soyeon,Predictionorientedmarker multiscale method for flows in highly ical proofs selection for personalized medicine heterogeneous porous media with application to high dimensional Muddamallappa, Mallikarjunaiah,Ontwo Texas Tech University (8) data theories for brittle fracture: Modeling Department of Mathematics and and direct numerical simulation McDonald, Thomas,Modelingclonalevo- Statistics lution with branching processes Penland, Andrew,Finitelyconstrained groups Chakraborty, Pritha,Extremalproblems Ni, Yang,Bayesiangraphicalmodelsfor in Bergman spaces complex biological networks Protosav, Anastasiya,Local-globalmodel Gamage, Pemantha, Smoothed functional Vankov, Emilian,Filteringandestimation reduction techniques principal component analysis for a class of stochstic volatility models Rainone, Timothy,K-theoreticdynamics with intractable likelihood and C∗-crossed products Gonzalez, Elias,Complexclassificationof Ren, Jun,Multiscalesolutiontechniques singularities of reducible septic curves Southern Methodist for high-contrast anisotropic problems Jesse, Odin,Algebraiccharacterization of non-negativity of polynomials over University (7) Rupam, Rishika,Meromorphicinnerfunc- tions and their applications polytopes Department of Mathematics Tan, Xiaosi,Multileveluncertaintyquan- Koksal, Fatih,InjectivityandGorenstein Choi, Young Ok,TheGalerkinboundary tification techniques using multiscale injectivity under faithfully flat ring element method for three-dimensional methods extensions transient Stokes flow Wang, Yi-Ching,Numericalcomputation Ma, Jie,Onstabilityoflinearswitching Downes, Edward,Numericalstudiesof of wind turbine flows and fluid prob- systems nonlinear processes in light filaments lems by open FOAM and ANSYS Osborn, Sarah,Multilevelsolutionstrate- Jang, Chang Young,Contributionsto Zhou, Zhi,Numericalanalysisoffraction- gies for the stochastic Galerkin method the theory and applications of Hermite al-order differential equations with Wijenayaka, Hansameenu Thanuka,Anal- methods nonsmooth data ysis of the error in an iterative algorithm for solution of regulator problems for Wang, Zheng,FilteredDavidson-type Department of Statistics methods for large-scale eigen-related linear distributed parameter control problems Jeong, Jaehong,Spatial-temporalmodels systems for processes on the sphere and their Statistical Science Department application in climate problem University of Houston (11) Rahmen, Shahina,Efficientnonpara- Liu, Bingchen,Rankedsetsamplingand Department of Mathematics judgment post-stratification estimators metric and semiparametric regression for discrete distributions methods with application in case con- Agrawal, Akshay,Optimizationofplane Lu, Wentao,Anadaptivetestingapproach trol studies wave directions in plane wave dis- for meta-analysis of gene set enrich- Zhang, Bohali, Statistical methods for continuous Galerkin methods for the ment studies large spatial and spatio-temporal data- Helmholtz equations Yang, Yandan (Daisy),Onanalysisof sets Alsheikh, Dina,Thehypercirclemethod system-based reliability data Zhang, Nan,Adaptivebasissamplingfor and an equilibrated a posteriori error smoothing splines estimator for discontinuous Galerkin Texas A&M University (24) approximations of elliptic boundary Texas Christian value problems on simplicial meshes Department of Mathematics University (1) Alvarez, Angelynn,Onthepositiveholo- Boedihardjo, March,Topicsinfunctional morphic sectional curvature of projec- analysis Department of Mathematics tivized vector bundles over compact Castanon Quiroz, Daniel,Solutionofthe Matthews, Kyle,UniversalPoincarédu- complex manifolds MHD equations with non-axisymmetric ality for intersection homology of Hammen, Nathaniel,Stablephasere- conductors using Fourier-finite element branched and partial coverings of pseu- trieval using low-redundancy frames of method domanifolds polynomials

AUGUST 2017 NOTICES OF THE AMS 753 Doctoral Degrees Conferred

Leonhard, Nicole,Correlationminimizing Wood, Daniel,Advancementsandappli- Ellis, Truman,Space-timediscontinuous frames cations of nonstandard finite difference Petrov-Galerkin finite elements for tran- Maxwell, Nicholas,Gaussianpolynomial methods sient fluid machanics filters and generalized shift-invariant Xiao, Pengcheng,Amodelingstudyin Graham, Lindley,Adaptivemeasure- frames the regulation of stress on neuronal theoretic parameter estimation for Ng, Wai Hin,Tensorproductsofoperator plasticity coastal ocean modeling systems via factorization Hussmann, Jeffrey,Expandingtheap- Ortiz, Carlos,Graphparametersviaoper- University of Texas at plications of high-throughput DNA se- ator systems Austin (28) quencing Ozcan, Burcin,Imageanalysisusing Department of Mathematics Isaac, Tobin,Scalable,adaptivemethods directional multiscale representations for forward and inverse problems in and applications for characterization of Bennett, Julia,Exoticsmoothingsvialarge continental-scale ice sheet modeling R4’s in Stein surfaces neuronal morphology Martin, James,Acomputationalframe- Preston, Benjamin,AhiddenMarkov Berg, Jennifer,Obstructionstothein- work for the solution of infinite- renewal model tegral Hasse principle for generalized dimensional Bayesian statistical inverse affine Chatelet surfaces Zheng, Da,Theoperationsystemgen- problems with application to global erated by Cuntz isometries and its Chen, Chieh,Implicitboundaryintegral seismic inversion methods applications Morrison, Rebecca,Ontherepresenta- Delfeld, James,Labelinganddenoising tion of model inadequacy: A stochastic University of North geometrically parameterized data with operator approach applications to cryo-em Texas (7) Taus, Matthias, Isogeometric analysis for Fenyes, Aaron,Warpinggeometricstruc- boundary integral equations Mathematics Department tures and abelianizing SL(2,R) local systems Young, Jonathan,Computationaldiscov- Atmai, Rachid,Contributionstodescrip- ery of genetic targets and interactions: Franklin, Giovanni,TheAndre-Quillen tive set theory Applications to lung cancer Berardinelli, Angela,Restrictinginvari- spectral sequence for pre-logarithmic ants and arrangements of finite com- ring spectra University of Texas at plex reflection groups Fredrickson, Laura,Asymptoticlimitsin Dallas (6) Chang, Cheng (Jeff),Therelativecom- the Hitchin moduli space plexity of various classification prob- Gal, Itamar,Explorationsinalgebraand Department of Mathematical topology lems among compact metric spaces Sciences Dahal, Koshal,Treesandordinalindices Garza, Cesar,Aconstructionofhyper- in C(K) spaces for K countable compact kahler metrics through Riemann-Hilbert Chu, Jufen,Nonparametrichazardrate problems estimation with left truncated and right Islas, Jose,Optimalstrategiesforstop- censored data ping near the top of a sequence Goswami, Pulak,Recoveringthepayoff structure of a utility maximizing agent Elewitz, Zachary,DetectionoftheReide- Jacobs, George Anthony,Reducedideals meister 2-move via generalized Polyak and periodic sequences in pure cubic Hughes, Adam,Multiplicativeanddy- invariants fields namical analysis on idèles and idèle class groups Krohne, Edward,Continuouscombina- Li, Changsong,Multiplicativestructure 2 Jain, Rohit, Regularity estimates for some on KBSM of I-bundle over a disk with torics on F(2(Z )) free boundary problems of obstacle- three punctures University of Texas at type Wang, Shanshan,Maskingandswamping Kontaxis, Andrew,Asymptoticsforopti- robustness of outlier detection proce- Arlington (11) mal investment with high-water mark dures Department of Mathematics fee Wang, Tiansong,Multi-sensorchange- Larson, Kyle,Someconstructionsin- point detection Ali, Ahmed,Bisectionmethodforthe volving surgery on surfaces involving Wijesuriya, Uditha,Exploratorynonpara- banded hyperbolic quadratic eigenvalue 4-manifolds problem metric functional data analysis using Li, Jiexian,Existence,characterization the spatial depth approach Blackwell, Justin,Numericalmethodsfor and approximation in the generalized spontaneous and evoked glutamate re- monotone follower problem lease University of Texas Pool, Jamie,AquadratureEulerian- School of Public Health (12) Chandler, Richard,Onthequantum Lagrangian WENO scheme for reservoir spaces of some quadratic regula al- simulation Department of Biostatistics gebras of global dimension four Royer, Aaron,AspectsofderivedKoszul Azadeh, Shabnam,IntegrativeBayesian Goodwin, Rachel,Somemultivariatepro- duality cess capability indices modeling of imaging and genetic data Taskovic, Maja,Mittag-Lefflermoments Griffis, John,Representationsoftheex- Cao, Ying,Detectinggeneticandnutri- and weighted L∞ estimates for solutions tended Poincare superalgebras in four to the Boltzmann equation for hard tional lung cancer risk factors related dimensions potentials without cutoff to folate metabolism using Bayesian generalized linear models Looney, Carl,FiniteM-inverseloopsand White, Chris,Optimalityguaranteesfor quasigroups with a long inverse cycle non-convex low rank matrix recovery Hong, Chuan, Statistical tests for ho- Sutton, Julie,Theinfluenceofdynamicvi- problems mogeneity using parametric and semi- sualization on undergraduate calculus parametric models with applications to learning Institute for Computational meta-analysis and statistical genetics Traylor, Rachel,Stochasticreliability Engineering and Science Huang, Jing,Bayesiandynamicmediation models for a general server and re- Carleton, James,Microscalemodeling analysis lated networks of layered fibrous networks with ap- Li, Xiaoqi,Statisticalmodelsforrecurrent Ventura, Wilber,Onsolvingforward- plications to biomaterials for tissue events during alternating restraint and backward SDEs engineering non-restraint periods

754 NOTICES OF THE AMS VOLUME 64, NUMBER 7 Doctoral Degrees Conferred

Lin, Li An,Bayesiananalysisofmulti- Neupane, Ram,Modelingseeddispersal Department of Statistical Sciences type recurrent events with dependent and population migration given a dis- and Operations Research termination tribution of seed handling times and Leonard, Robert,Considerationsforscreen- Liu, Yulun,Meta-analyticalmethodsand variable dispersal motility: Case study ing and follow-up experimentation their applications to biomedical studies for pinyon and juniper in Utah Sun, Jia,Ahierarchicalmodelofmu- Virginia Polytechnic tations with genotyping errors and maximum likelihood estimations and VIRGINIA Institute and State the male-to-female mutation rate ratio George Mason University (22) Wu, Chih-Hsien,Analysisofbivariate longitudinal discrete data: A joint University (4) Department of Mathematics continuous-time Markov chains ap- Department of Statistics Arat, Seda,Asystemsbiologyapproach proach to microbiology and cancer Hoysepyan, Harut,Valuationofcommer- Yang, Yang,Data-adaptiveSNP-set-based Gao, Guangyue,Somecontrollabilityand association tests of longitudinal traits cial mortgages in incomplete markets: Afour-statemodelwithfundamental stabilization problems of surface waves Ye, Jiabu,Covariatesadjustmentfor economic theory on water with surface tension nonparametric tests for two sample Kramer, Boris,Modelandreductionfor comparison Shao, Hui,Exactpropertiesofrestricted randomization procedures control, identification and compressed Zhu, Huirong,Two-partmixturemod- sensing Wilson, Seunghye,Trenddetectionand els for zero-inflated longitudinal mea- Kuster, George,Ontheroleofstudent surements with heterogeneous random pattern recognition in financial time series understanding of function and rate of effects and time to event data change in learning differential equa- Ye, Xuan,Groupsequentialmethodsfor tions ROC curves UTAH Lattimer, Alan,Modelreductionofnon- Old Dominion linear fire dynamics model Li, Ming,Recyclingpreconditionersand Brigham Young University (1) University (2) matrix reordering Department of Mathematics and Moon, Kihyo,Immerseddiscontinuous Department of Mathematics Statistics Galerkin methods for acoustic wave propagation in inhomogeneous media Dang, Vinh,Compressionbodiesand Li, Wei,Modelingandsimulationof their boundary hyperbolic structures molecular Couette flows and related Plaxco, David,Relatingunderstandingof Simmons, Skyler,Analysisofmultiple flows inverse and identity to engagement in collision-based periodic orbits in di- proof in abstract algebra mension higher than one University of Virginia (7) Wang, Taige,Mathematicalanalysison the PEC model for Thixotropic fluids Department of Mathematics University of Utah (7) Wills, Andrew,Abacus-tournamentmod- Department of Mathematics Atkinson, Scott,Convexsetsassociatedto els of Hall-Littlewood polynomials C∗-algebras Babenko, Vira,Numericalanalysisin Bley-Delgado, Gonzalo,Estimatesoffunc- Department of Statistics L-spaces tional integrals of non-relativistic quan- Carzolio, Marcos,Onaselectionofad- Cesa, Morgan,Dehnfunctionsofhigher tum field theory with applications to vanced Markov chain Monte Carlo al- rank arithmetic groups of type An in the Nelson and Polaron methods gorithms for everyday use: Weighted products of simple Lie groups De Stefani, Alessandro,Homologicalmeth- particle, tempering, practical reversible Dixon-Gorringe, Megan,Rolesforubiq- ods, singularities, and numerical invari- jump, and extensions uitin and dimensional dependence in ants Chen, Chen,Evaluatingtime-varyingef- protein regulation Franz, Daniel,Quantifyingtheresidual fect in single type and multi-type semi- Egbert, Paul Andrew,Logminimalmodels fitness of linear groups parametric recurrent event models of arithmetic threefolds Hardy, Stephen,PseudocompactC∗- Hoegh, Andrew,Predictivemodelfusion: Kerby, Brent,Semivariogramestimation: algebras Amodularapproachtobig,unstruc- Asymptotic theory and applications Lai, Chun-Ju,Affinequantumsymmetri- tured data Krtolica, Predrag,Compatibilitycondi- cal pairs: Multiplication formulas and Li, Qing,Recurrenteventmodelsfor tions in discrete structures and appli- canonical bases detecting the change points in the cation to damage Terwilliger, Bryce,Tandemqueueswith driving risk of the teenage drivers Watson, Alan,Genericvanishingand identical service times in heavy traffic Loftus, Stephen,Ontheuseofgrouped the geometry of irregular varieties in covariate regression in oversaturated positive characteristics Virginia Commonwealth models Utah State University (3) University (3) Ortega Villa, Ana Maria,Semiparametric varying coefficient models for matched Department of Mathematics and Department of Mathematics and case-crossover studies Applied Mathematics Statistics Shan, Liang,JointGaussiangraphical Duncan, Jacob,Aspatiotemporalmoun- Cooper, Racheal,Anappliedmathemati- model for multi-class and multi-level tain pine beetle outbreak model predict- cal approach to modeling inflammation: data ing severity, cycle period, and invasion Hematopoietic bone marrow stem cells, Sun, Peng,SemiparametricBayesianap- speed systemic estrogen and wound healing proach using weighted Dirichlet process and gas exchange in the lungs and body Flake, Darl,Separationofpointsand mixture for finance statistical models interval estimation in mixed dose- Lazaryan, Shushan,Dynamicsofdis- Xie, Yimeng,Advancementsindegrada- response curves with selective com- crete planar systems that model stage- tion modeling, uncertainty quantifica- ponent labeling structured populations tion and spatial variable selection

AUGUST 2017 NOTICES OF THE AMS 755 Doctoral Degrees Conferred

Yuan, Miao,Corporatedefaultpredic- Negron, Cris,Alternateapproachestothe Guven, Emine,Validationofanexper- tions and methods for uncertainty cup product and Gerstenhaber bracket imentally motivated predictive model quantifications on Hochschild cohomology for the spontaneous clustering of re- Zhang, Angang,Someadvancesinclassi- Palvannan, Bharathwas,OnSelmergroups ceptors on the cell membrane fying and modeling complex data and factoring p-adic L-functions Tichenor, Todd,Topicsingraphcompo- Zhang, Xiang, Dynamic probability con- Prelli, Lorenzo, Results on singularities of sition trol limits for risk-adjusted Bernoulli pairs Wang, Keke,Supereulerianpropertiesin cumulative sum charts Rudnick, Christian,BoundaryHarnack graphs and Hamiltonian properties in principle for stable-like processes line graphs Sprehn, David,Somecohomologyoffinite Zhang, Meng,Spanningtrailsandspan- WASHINGTON general linear groups ning trees Stark, James,Sheavesonsupportvari- University of eties and varieties of elementary subal- WISCONSIN Washington (37) gebras Taylor, Jair,Formalgrouplawsand Marquette University (4) Applied Mathematics Department hypergraph colorings Department of Mathematics, Curtius, Kathleen,Multiscalemodelingof Wang, Jiashan,Matrixfreemethodsfor Statistics and Comp Science esophageal adenocaranoma large scale optimization Sheils, Natalie, Interface problems using Wong, Ting Kam Leonard,Geometryand Buelow, Zachary,Out-tournamentmatri- the Fokas method optimization of relative arbitrage ces with equal ranks Zhou, Hanming,Somelinearandnonlin- Kawsar, Ferdaus,Computationalap- Biostatistics Department ear geometric inverse problems proaches for remote monitoring of symptoms and activites Benkeser, David,Data-adaptiveestima- Department of Statistics tion in longitudinal data structures Majumder, AKM Jahangir,Development with applications in vaccine efficacy Harmon, James,Thelikelihoodpivot: of a wireless mobile computing plat- trials Performing inference with confidence form for fall risk prediction Dominguez Islas, Clara Penelope,New Irvahn, Jan,Phylogeneticstochasticmap- Rizia, Rizwana,Amobilehealthapproach methods for meta-analysis under a fixed ping to assist veterans reintegrating into effects framework, with frequentist and Leung, Dennis,Testingindependencein civilian life Bayesian estimation high dimensions and identifiability of Medical College of Kosel, Alison,Localestimationsofpatient graphical models prognosis McDavid, Andrew,Statisticalhurdlemod- Wisconsin (1) Liang, Chao-Kang,Methodsfordescrib- els for single cell gene expression: Division of Biostatistics ing the time-varying predictive perfor- Differential expression and graphical modeling Zhang, Ying,Inferenceoftransitionprob- mance of survival models abilities in multi-state models using Mercer, Laina,Space-timesmoothing McHugh, Caitlin, Statistical methods for adaptive inverse probability censoring models for surveillance and complex the analysis of autosomal and X chro- weighting technique mosome genetic data in samples with survey data unknown structure Ren, You,Bayesianmodelingofahigh University of Wisconsin, resolution housing price index Salim, Bob,Stochasticoptimizationand Madison (36) subgroup selection Theobald, Roderick,Lord’sparadoxand Tan, Kean Ming,Graphestimationand targeted interventions: The case of Department of Mathematics cluster analysis in high dimensions special education Cladek, Laura,Multipliertheorems,square Wang, Linbo,Causalinferencewithselec- Washington State function estimates, and Bochner-Riesz tion and confounding variables means associated with rough domains University (3) Zelnick, Leila,Analysisofbiasedsam- Dewey, Edward,Characteristicclassesof pling designs in longitudinal data Department of Mathematics and cameral curves Statistics Hu, Yueke,Periodintegrals,L-functions, Department of Mathematics and applications to subconvexity bound Alzaleq, Lewa’,AKlein-Gordonequation and mass equidistribution Bartlett, Alan,SpectraltheoryofZd- revisited: New solutions and a compu- Kim, Yoosik,Onnon-displaceableLa- substitutions tational method grangian tori on Fano toric surfaces: Chen, Hao,Computationalaspectsof Klosterman, Peter,Identificationandes- Wall-crossings and bulk-deformations the modular parametrization of elliptic tablishment of social and sociomathe- Lee, Jaeho,Non-displaceabletoricfibers curves matical norms associated with mathe- on compact symplectic manifolds via matically productive discourse Clenaghan, Graham,Grothendieckdual- tropicalization ity on diagrams of schemes Skulpakdee, Wanrudee,Portfolioopti- Li, Lei,Fluid-structureinteractionat mization on jump diffusion Ganguly, Shirshendu,AspectsofMarkov different Reynolds numbers chains and particle systems Strenner, Balazs,Algebraicdegreesand Holdaway, Cody,Pathalgebrasandmono- WEST VIRGINIA Galois conjugates of Penner stretch mial algebras of finite GK-dimension as factors noncummutative homogeneous coordi- West Virginia Su, Yun,Higherorderdegreesofcomplex nate rings University (6) hypersurface complements Junge, Matthew,Randomrecursion Sun, Yu,MultilevelMonteCarlometh- Department of Mathematics McMurdie, Christopher,TheC∗-algebra ods with applications to biochemical of a finite T0 topological space Algefari, Mansour,Onsupereuleriandi- models Merhej, Jessica,Onthegeometryofrecti- graphs Wong, Kaiho Tommy,TwistedAlexander fiable sets with Carleson and Poincaré- Aslatami, Khalid,Astudyondicycled polynomials of hypersurface comple- type conditions and Eulerian subdigraphs ments

756 NOTICES OF THE AMS VOLUME 64, NUMBER 7 Doctoral Degrees Conferred

Xu, Xiaoqian,Singularitiesandmixingin University of Wisconsin, fluid mechanics Milwaukee (11) Zhao, Jie,Hyperkahlermetricsonfocus- focus fibrations Department of Mathematical Zheng, Fan,Onconstructingeigenfunc- Sciences tions of Weil representations over p- Adhikari, Ram,AweakSimpsonmethod adic fields for a class of stochastic differential equations and numerical stability re- Department of Statistics sults Binkiewicz, Norbert,Contextualizednet- Cheong, Sami,Parameterestimationfor work analysis: Theory and methods for the spatial Ornstein-Uhlenbeck process networks with node covariates with missing observations Brooks, Wesley,Localvariableselectionin Feller, Jesse,Randomiterationofrational varying-coefficients regression models maps Chen, Yan,Somenewmethodologiesin Gollin, James,Theroot-finitecondition optimal designs, composite likelihood on groups and its application to group and reinforcement learning rings Cho, Juhee,Statistialinferencesand Griffin, Brian,Improvingthesubgrid- applications for a low-rank matrix scale representation of hydrometeors Du, Lilun,Somenewdevelopmentson and microphysical feedback effects us- multiple testing procedures ing a multivariate PDF Fan, Haoyang,Aboostingapproachto Kopacz, Dawn,Predictabilityofseaice high dimensional linear mixed model near bifurcations Feng, Xiaoping,Compositelikelihoodes- Mitchell, Alan,Theexistenceofthe timation and inference for spatial data Mandelbrot set in the parameter planes models of certain rational functions Fu, Rao,Regularizedregressionmethods Samanthi, Ranadeera,Comparingthe with spatial binary and multinomial riskiness of dependent portfolios outcomes Sugiyama, Noriyuki,TheGreatLakes’ Guo, Xiao,Topicsonestimationoflarge regional climate regimes covariance and precision matrices Trulen, Justin, Asymptotic estimates for Henderson, Nicholas,Methodsforranking some dispersive equations on the alpha- and selection in large-scale inference modulation space Idowu, Timothy,Bayesianinferencefor Yu, Daoping,Statisticalcontributionsto max-stable processes with application operational risk modeling to financial data Jiang, Qi,Bayesianfunctionalconcurrent WYOMING logistic models for spatial categorical data University of Wyoming (4) Konate, Lancine,Dependentcreditrisk modeling using nonlinear filtering tech- Department of Mathematics niques Choi, Hayoung,Hamburgermomentcom- Kong, Jing,Topicsondistancecorre- pletions and its applications lation, feature screening and lifetime Deng, Quanling,Localconservationon expectancy with application to Beaver continuous Galerkin finite element Dam Eye Study data methods with application Liu, Yi,Volatilityestimationwithfinani- Huntington, Michael,Atuán type result cial data and generalized friendship graphs Solis-Lemus, Claudia,Statisticalmethods Nelson, Curtis,Tilingwithdominoes to infer population structure with coa- and monomers, P-sets, and the inverse lescence and gene flow eigenvalue problem Tian, Jianan,Dissectionandfine-mapping of tran-eQTL Wang, Zhishi, Statistical methods for gene set analysis Xiong, Lie,Statisticallearningforhigh dimensional data set with group structure Xu, Chenliang,Statisticalanalysisof quantum annealing models and density matrix estimation in quantum homo- dyne tomography Ye, Shuyun,Statisticalmethodsforsub- class discovery on genomic structures with quantitative outcomes Zhai, Yun,Discretetimeharnesspro- cesses Zuo, Chandler,Large-scalecomputation in genomic and epigenomic inference

AUGUST 2017 NOTICES OF THE AMS 757 BOOK REVIEW One Hundred Twenty-One Days A Review by John McCleary

One Hundred Twenty-One Days The Oulipo stands for Ouvroir de la Littérature Po- by Michèle Audin tentielle, or workshop on potential literature. It was Translated from French by Christiana Hills founded in 1960 by François Le Lionnais (1901–1984), a Deep Vellum Publishing, Dallas, Texas, 2016, polymath and well-known expositor of mathematics, and Paperback, 200 pages, ISBN: 978-1-94-192032-9 Raymond Queneau (1903–1976), a writer with an interest in mathematics. The main concerns of the group have How can we describe the effects of war on a community? been, in the words of mathematician and Oulipo member There are statistics: Of the 195 students of the École Nor- Jacques Roubaud, “the research, the discovery, and the male Supérieure who were mobilized in the First World invention of constraints for the composition of literary War, at least 34 were confirmed dead, 15 disappeared, 21 were taken prisoner, 64 were wounded. Only 54 or 55 texts.” Among other participants in the Oulipo have been returned unharmed [1]. In his autobiography Apprentice- the mathematician Claude Berge, computer scientist Paul ship of a Mathematician, André Weil recalled that of those Braffort, the painter Marcel Duchamp, and writers George who came back from World War I, “Very few who survived Perec, Harry Mathews, and Italo Calvino. The best-known recovered an interest they used to have in works of the Oulipo are Queneau’s Exercices [mathematics or science].” Richard Courant de Style and Cent mille milliards de poèmes called the time away from ordinary research a narrative of (One Hundred Thousand Million Poems) and “a big hole.” Some mathematicians served Perec’s La Disparition (The Disappearance), their countries during wartime, finding op- loss and the a novel written without the letter e. portunities to develop mathematics in new As an example of how mathematics and areas. For the most part, however, the effect deep emotions literature come together, consider the ses- of the wars was loss—lost lives, lost work, tina, a poem of six stanzas followed by a a lost generation—an emptiness difficult to attached to it three-line summary. The rhyming words of describe. each stanza are the same, but in different Michèle Audin’s novel, describing the ef- orders. Furthermore, the last rhyme of a fect of the world wars on the French community of math- stanza becomes the first of the next. ematicians, succeeds as a narrative of loss and the deep The order of the rhymes of the second stanza deter- emotions attached to it. She has chosen an unusual style. mines a permutation of order six of the initial scheme The eleven chapters of the novel are each different in form, and the subsequent rhyme schemes. The sestina was in- including a pastiche of a Kipling children’s story, entries troduced in the twelfth century in France by troubadours. from diaries, news and journal clippings, an interview, the (The Oulipo would consider this a case of anticipatory description of a photograph, even a list of numbers. Audin is well known as a mathematician. She is also a member of plagiarism by the earlier writers [2].) Two features of trou- the Oulipo, a French writing group who embrace stylistic badour poetry are found in Audin’s novel: each chapter constraints in the pursuit of new modes of expression. begins with the last words of the previous chapter, and the last chapter ends with the first paragraph of the first, making a cycle. Another feature of troubadour poetry may John McCleary is professor of mathematics and the Elizabeth be described as a sort of mask. The poem has a surface Stillman Williams Chair at Vassar College. His e-mail address is meaning, but it is really about something else, known [email protected]. to the cognoscenti in the audience. Audin’s novel thinly

758 NOTICES OF THE AMS VOLUME 64, NUMBER 7 Book Review

anxiety, especially when Heinrich Kürz came to lecture, met The thin veil Silberberg, and then made disturbing between the novel comments in a café. and history is lifted. We learn of Kürz’s thoughts from his journals from Paris in 1942, where he is sent to enlist French mathematicians to write surveys for German journals. M. was the liaison to Kürz in Paris and later visited him in N., a German city with a famous university. The historian visits N. in current times and finds a photo from M.’s visit to Kürz. Chapter VI, “The Form of a City,” is a fascinating account of impressions made by the photo and a map. The heart of the book is Chapter VII, which concerns Mireille, the niece of Gorenstein and beloved of Silberberg. One Hundred Twenty-One Days is the time from her ac- quaintance with André to her getting the news of his death. The time is liberation, but the dehumanizing effects of the war are depicted as Mireille seeks word of André. Though short, the chapter had a powerful effect on this reader. The rest of the book delves deeper into the practice The author of the novel under review, Michèle Audin, of the historian and consists of two notebooks, another counts mathematics, history, and literature as her collection of clippings, including the announcements of primary interests. Her most recent novel is La formule the deaths of Gorenstein and M., a list of numbers, and de Stokes (Cassini, 2016, available only in French). finally a return to “The Form of a City,” this time Paris. The veils her rich historical work behind the characters she historian begins at the Cimetière Montmartre after the fu- has invented. neral of Pierre Meyer and continues through the streets of The novel stretches across the twentieth century Paris. The stories we have read fill her thoughts, together as seen through the lives of four mathematicians. The with all the connections to history in the names of streets unifying character is Christian M., where M is followed and places. Returning home with all these thoughts, she by various permutations of the letters {o, r, t, s, a, u, f}. begins to write this novel. From these letters words emerge, for example, sauf mort, The foundation of Audin’s bold experiment in literature “except death”; mot fraus, “woman’s word” (a combina- and history is the many contributions she has made to the tion of French and German); and mor faust, “more Faust.” history of twentieth-century French mathematics: Fatou, Christian’s childhood opens the book with a chapter writ- Julia, Montel, le grand prix des sciences mathématiques de ten in the manner of The Elephant’s Child, a Just So Story 1918, et après… (2009), Remembering Sofya Kovalevskaya of Kipling. Young Christian’s constant questioning of the (2011), and Une histoire de Jacques Feldbau (2009). The world leads to beatings until a teacher recognizes his tal- thin veil between the novel and history is lifted in light ent for mathematics. M. leaves his home by the Saloum of her work. For example, the topologist Jacques Feldbau River in Africa for a school in France, where he also learns (1914–45) published his papers during the war under the German. M. is injured in World War I, taking a bullet to the pseudonym Jacques Laboureur, and other Jewish math- face that leaves him permanently disfigured. He is treated ematicians did the same to be able to publish under the in a hospital, where we also meet Robert Gorenstein, a mo- wartime ban of Jewish authors. In the novel André Silber- bilized mathematician less gravely wounded. Gorenstein’s berg publishes a paper as André Danglars. story develops further in the third chapter, where we learn It was the history that connected Audin to the Oulipo: that after the war he murders three family members. As she explained in an interview with Publisher’s Weekly, The second chapter is a selection from the diary of the she shared her unusual book on Kovalevskaya with nurse Marguerite Janvier, who becomes M.’s wife. Chapter III Jacques Roubaud, who spoke of her work at a gathering is a collection of clippings from newspapers and journals of the group. She was invited to the next gathering and six that we learn belonged to Marguerite. Bernadette, the months later she received a message from Oulipo’s presi- daughter of Marguerite and Christian, is married to Pierre dent inviting her to return. Eventually she was co-opted, as Meyer, a one-time student of mathematics in Strasbourg, they call it; that is, she was made a member of the Oulipo. who is interviewed in 2006 by a historian whom we take There are two extra bits that follow the novel. The first as Audin. The interview (Chapter IV) focuses on André Sil- is a “Supernumerary Chapter” that reveals literary sources berberg, a fellow student in Strasbourg who is Jewish and and places that are cited or that shaped her choices in the who has written a formidable thesis in class field theory. writing. The second is a translator’s note from Christiana The presence of the Germans in Strasbourg in 1939 caused Hills, who relates the problems of finding the right voices

AUGUST 2017 NOTICES OF THE AMS 759 Book Review among so many forms of discourse. Translation of works New journal published by the written under constraints is a heroic task. Hills’s translation is entirely worthy of the novel. I have said too much about the novel and not enough about the initial question of the effects of war on the community of mathematicians. The book says a great deal about this and about the problems of history. The reader can accompany a historian in her search for the right story and discover the limitations under which historians labor. For its invention, for its emotion and depth, you should read this book.

References [1] D. Aubin and C. Goldstein, “Placing World War I in the History of Mathematics,” HAL, hal.upmc.fr/hal- ISSN print 2520-2316 00830121v1. ISSN online 2520-2324 [2] D. L. Becker, Many Subtle Channels: In Praise of Potential 2018. Vol. 1, 4 issues Literature, Harvard University Press, Cambridge, MA, 2012. Approx. 400 pages Photo Credits 17.0 cm x 24.0 cm Photo of Michèle Audin courtesy of Michèle Audin. Price of subscription: Photo of John McCleary courtesy of Carlie Graves 198 ¤ online only 238 ¤ print+online

Editors ABOUT THE REVIEWER Luc Devroye (McGill University, Montreal, Canada) Gabor Lugosi (UPF Barcelona, Spain) John McCleary is the author of a few Shahar Mendelson (Technion, Haifa, Israel and Australian books, including the forthcoming Exercises in (Mathematical) Style to National University, Australia) be published by the MAA. Elchanan Mossel (MIT, Cambridge, USA) J. Michael Steele (University of Pennsylvania, Philadelphia, USA) Alexandre Tsybakov (CREST, Malakoff, France) John McCleary Roman Vershynin (University of Michigan, Ann Arbor, USA)

Associate Editors Sebastien Bubeck (Microsoft Research, Redmond, USA) EDITOR’S NOTE. See Allyn Jackson's interview with Sara van de Geer (ETH Zürich, Switzerland) author Michèle Audin in this issue of the Notices on Ramon van Handel (Princeton University, USA) page 761. Andrea Montanari (Stanford University, USA) Jelani Nelson (Harvard University, USA) Philippe Rigollet (MIT, Cambridge, USA) Rachel Ward (University of Texas at Austin, USA)

Aims and Scope Mathematical Statistics and Learning is devoted to research articles of the highest quality in all aspects of mathematical statistics and learning, including those studied in traditional areas of statistics and in machine learning as well as in theoretical computer science and signal processing.

European Mathematical Society Publishing House Seminar for Applied Mathematics, ETH-Zentrum SEW A21 CH-8092 Zürich, Switzerland [email protected], www.ems-ph.org

760 NOTICES OF THE AMS VOLUME 64, NUMBER 4 COMMUNICATION

MichË le Audin, Mathematician and Writer

Interviewed by Allyn Jackson

In 2014, Michèle Audin retired from her position as professor of mathematics at the University of Strasbourg, in order to devote herself to writing. Her academic output includes about seventy-five research papers in global analysis, differential geometry, topology, and history. She has written several novels, including 121 Days, which was translated into English by Christiana Hills in 2016 and is reviewed in this issue of the Notices. Her article “Differential Geometry, Strasbourg, 1953” appeared in the March 2008 issue of the Notices. Another piece by Audin, “Homage to Henri Cartan (1904–2008),” appeared in the May 2009 issue and includes a short sidebar about Cartan’s little-known sister Hélène, who was also a mathematician and became a secondary school teacher.

Notices: What was now, not everybody in France is willing to publicize the your inspiration in fact that he or she had relatives who, seventy-five years writing 121 Days? ago, collaborated with the Germans. This is one thing that Audin: I have done led me to write the novel. a lot of work on the When you say, “So-and-so was French and became a history of mathema- German collaborator,” or “this was a bad guy, and that ticians living in the was a good guy”—you are just making an accusation. That first half of twenti- was quite the opposite of what I wanted to do. I wanted to eth century. I edited have a different kind of freedom, to write something that correspondence be- was not academic research. I wanted to have something tween André Weil and more—how to do I say this (very modestly!)?—something Henri Cartan. I have more universal. I wanted to write in a different way from also written about a standard paper in history or mathematics and to reach the way the Jews were different kinds of readers. forbidden to publish Of course, the main reason was that I wanted to write Michèle Audin is the author of in France during the a novel! [Laughs] the novel 121 Days, reviewed in German occupation. Notices: You are a member of the Oulipo. How did the this issue of the Notices. I found some corre- Oulipo philosophy influence your writing of 121 Days? spondence between two mathematicians at the time of Audin: The idea was to use the occupation. One was French, a collaborationist, and some constraints to build the the other one German, a member of the army. In their let- text. It is a book mainly about Fiction writing ters, they were very friendly and exchanged very pro-Nazi mathematicians, so I wanted opinions. I hoped to publish this correspondence, but then something using numbers. I is not very I realized the family would never give permission. Even made a plan of how to write the book using various con- different Allyn Jackson is senior writer and deputy editor of the Notices. straints, mainly coming from Her e-mail address is [email protected]. poetry of the Middle Ages, from writing For permission to reprint this article, please contact: like sestinas. The constraints mathematics. [email protected]. dictated the order in which DOI: http://dx.doi.org/10.1090/noti1545 things would appear in the

AUGUST 2017 NOTICES OF THE AMS 761 COMMUNICATION book. I also tried to show how various materials are used You wrote a book about him, Une Vie Brève (A Short Life). by historians. There is a historian in the book, and he pub- What is that book like? lishes a list of all the materials he used, like newspapers, Audin: My father was twenty-five years old when he was diaries, testimonies, photographs, and so on. killed, so this was a very short life. My problem is that, There are numbers that appear in the book as numbers, when people speak of him, they always mention the way but they also appear in the conception of the book. There he was killed, and that’s it. I wanted to collect things about are eleven chapters and eleven things that appear in all the what his life had been, not his death. It’s like a biography, chapters—a nurse, a dog, and so on—and they appear in a but organized differently. It’s the collection of everything certain order but not always in the same form. There are I found about him in the familial memories and archives. eleven chapters with eleven things, which makes 121 days! Notices: Over all these many years, what do you feel Notices: Can you tell me about your transition from now of the influence of your father? mathematics to writing? Audin: That’s hard. I was 3 1/2 years old when he was Audin: It was a very natural process. When I would killed. He taught me to read and write, and I was very write mathematics, I always tried to take care to write happy to learn that when I was so young. The main influ- well. I am not the kind of mathematician who uses only ence is my mother, who was a teacher of mathematics. Notices: You turned down the Legion d’Honneur some fifty words of vocabulary! I just like to write, and I am years back. The reason was that then-president Nicolas happy to write about mathematics or mathematicians or Sarkozy never responded to a letter from your mother, in anything else. Fiction writing is not very different from which she objected to France not doing enough to look into writing mathematics. It uses the same qualities, such as what happened to your father. imagination and rigor. Audin: They did nothing! Notices: But when you sit down and write fiction, you get Notices: Did you ever get any reply from Sarkozy? to make everything up, whereas when you Audin: No. Under President Hollande, write mathematics you are very constrained. the archives have been opened. But I don’t Audin: That’s not true. You are very con- There is nothing think there is anything in the archives, strained no matter what you write. It’s hard because this was something done secretly work. It’s not just sitting down and waiting objective, by the army. And it was sixty years ago. for inspiration; I don’t believe in that. You Notices: Are you working on something have to know what you want to say, and no truth in new now? why, and how, and you have to organize Audin: I have a book that appeared in how you say it. Of course, a mathematician numbers. 2016, called Mademoiselle Haas. There were is constrained to write things always in the so many men in 121 Days that I decided to same order: statement, proof, maybe one write a book about women! Mademoiselle example and one conjecture, and that’s it. A fiction writer Haas is about women working in Paris in the 1930s. None has more freedom. of them are mathematicians—at that time there were very Notices: Your novel La Formule de Stokes appeared last few women mathematicians. And I have another book year [in French only]. Can you tell me about it? that will appear in September this year, about the Paris Audin: There are many different forms of the Stokes Commune in 1871. It has nothing to do with mathematics, formula—there was the Gauss formula at the beginning, although there are some mathematicians in it. then the Ostrogradski formula, Green’s formula, the Notices: One chapter of 121 Days consists of a list of Green–Riemann formula, and so on. At the beginning of numbers or quantities and what they signify, such as “1 the twentieth century, under the influence of people like single bullet managed to remove one of M.’s eyes, his nose, Élie Cartan, the formula became something very abstract and half of his jaw,” and “-25, the temperature (in degrees and beautiful. The book tells the story of these different Celsius) in Upper Silesia in January 1945 during the evacu- forms of the Stokes formula, but it is not written like a ation of Auschwitz.” How did you put this chapter together? history of the formula. It’s a series of short stories about Audin: The thing I wanted to show is that numbers are the people working on this subject in the nineteenth and exactly like words. Everybody knows that you can make twentieth centuries and what happens around them, for words say whatever you want them to say. Numbers are example, the political context. And it is not written in a the same. I wanted to say that there is nothing objective, strict chronological order, but like a calendar, so that the no truth in numbers. There is a quotation of Simone de first chapter is about events in January, the second about Beauvoir: “There are words as murderous as gas cham- bers.” After the liberation of France, there was a trial of a events in February, and so on. journalist who was a collaborator. He wrote many things The book is a novel, and the main character is the Stokes against Jews, including giving addresses where people formula. The character appears in various contexts, in were hiding. These were just words. But there are words Russia, in England, in Germany, in France, in Italy. I used that are murderous. It’s just the same with numbers. some constraints; for example, there is one and only one formula in each story. And they are all different! Photo Credit Notices: Your father, Maurice Audin, was a mathemati- Photo of Michèle Audin is courtesy of Michèle Audin. cian. He was killed by the French army in Algeria in 1957.

762 NOTICES OF THE AMS VOLUME 64, NUMBER 7 A MERICAN M ATHEMATICAL S OCIETY Become an AMS Life Member Today

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Inside the AMS

AMS Congressional AMS-AAAS Mass Media Fellow Announced Fellow Chosen Margaret D. Callahan has Benjamin Thompson of been awarded the 2017–2018 Boston University has been AMS Congressional Fellowship. awarded the 2017 AMS-AAAS Callahan is currently a visiting Mass Media Fellowship. He is assistant professor at Emory a mathematics PhD student University teaching linear alge- studying algebraic geometry. bra and a volunteer with Emory He will work this summer at Math Circle, a free mathemat- Voice of America. ics enrichment program for The AAAS Mass Media Sci- local middle and high school ence and Engineering Fellows Margaret D. Callahan students. She received her PhD Benjamin Thompson program is organized by the in applied mathematics from American Association for the Case Western Reserve University. Advancement of Science (AAAS). This competitive pro- Callahan is interested in STEM education and public gram is designed to improve public understanding of sci- health policy and has served in rural Kenya as a second- ence and technology by placing advanced undergraduate, ary school mathematics teacher with the US Peace Corps graduate, and postgraduate science, mathematics, and (USPC). She was elected a Math and Science Education engineering students in media outlets nationwide. The Sector Representative to the Voluntary Advisory Council fellows work for ten weeks over the summer as reporters, of the USPC working in support of corps volunteers. researchers, and production assistants alongside media The Congressional Fellowship program is administered professionals to sharpen their communication skills and by the American Association for the Advancement of Sci- increase their understanding of the editorial process by ence (AAAS) and provides an opportunity for scientists which events and ideas become news. and engineers to learn about federal policymaking while In its forty-third year, this fellowship program has contributing their knowledge and analytical skills to the placed more than 670 fellows in media organizations process. Fellows spend a year on the staff of a member nationwide as they research, write, and report today’s of Congress or a congressional committee working as a headlines. The program is designed to report science- special legislative assistant in legislative and policy areas related issues in the media in easy-to-understand ways requiring scientific and technical input. The fellowship so as to improve public understanding and appreciation program includes an orientation on congressional and for science and technology. executive branch operations and a year-long professional For more information on the AAAS Mass Media Science development program. and Engineering Fellows program, visit the website www. The fellowship is designed to provide a unique public aaas.org/mmfellowship . policy learning experience to demonstrate the value of —Anita Benjamin, AMS Washington Office science-government interaction and to bring a technical background and external perspective to the decision- making process in Congress. For more information on the AMS-AAAS Congres- sional Fellowship, go to bit.ly/AMSCongressional Fellowship . —Anita Benjamin, AMS Washington Office

764 NOTICES OF THE AMS VOLUME 64, NUMBER 7 Inside the AMS NEWS

Capitol Hill Exhibit Highlights cal importance of increased, sustained federal investments in basic scientific research. Food and Water Security —AMS Washington Office

Lea Jenkins (left) chats with attendees at the 2017 CNSF Exhibition and Reception. “Icosahedral Lampflower,” by Frank A. Farris, Santa The AMS sponsored an exhibit at the twenty-third annual Clara University, CA Coalition for National Science Funding (CNSF) Exhibition and Reception on Capitol Hill held on May 16, 2017. Lea Jenkins, Clemson University, made a presentation entitled From the AMS Public “Berry Smart: Mathematics for Food and Water Security,” describing her team’s work on minimizing water usage. Awareness Office This team of researchers, sponsored by the American New Works on Mathematical Imagery: See an album of Institute of Mathematics and supported by the National selected works in the 2017 Mathematical Art Exhibition Science Foundation, includes Lea Jenkins (Clemson Univer- held at JMM 2017 and additional digital works by Frank sity) and Kathleen Fowler Kavanagh (Clarkson University), A. Farris, Santa Clara University, California. as well as hydrologists, farmers, and other stakeholders. www.ams.org/mathimagery The team was interested in designing a plan that would AMS for Students: Undergraduate and high school minimize water usage for crops yet still make a profit students and faculty in the mathematical sciences are for the farmers and also meet consumer demand. The invited to browse this page for regularly posted news and mathematical models created incorporate data such as resources, including links to video collections, semester plant growth properties and water requirements of dif- programs, graduate programs, competitions and awards, ferent crops to identify which crops to plant, the best where to publish and present research, where to get free time to plant the selected crops, and which areas to leave math help, and more. www.ams.org/students unplanted. Opportunities: This online resource allows organiza- These models could apply broadly to farms of varying tions and institutions to submit calls for applications for size. Next steps in the research will introduce more com- fellowships, grants, and scholarships; nominations for plexity and different farming scenarios into the problem, prizes and awards; proposals for meetings and work- including simulating multifarm agricultural environments, shops; and information about contests and competitions. evaluating the impact of changes in irrigation practices, Calls may be designated by “audience”: mathematical and irrigation sources. scientists/faculty, institutions and programs, postdocs/ For more information on this research, see the AMS early-career mathematicians, graduate students, under- Mathematical Moments and listen to the podcast at www. graduate students, and high school students and teachers. ams.org/samplings/mathmoments/mm128-farming- www.ams.org/opportunities podcast . —Annette Emerson and Mike Breen The Coalition for National Science Funding is an alli- AMS Public Awareness Officers ance of over 140 organizations united by a concern for [email protected] the future vitality of the national science, mathematics, and engineering enterprise. The CNSF Exhibition is a well- attended annual event that features over thirty exhibits where researchers present their work and explain the criti-

AUGUST 2017 NOTICES OF THE AMS 765 NEWS

Mathematics Opportunities

Listings for upcoming math opportunities to appear in Notices may be submitted to [email protected] .

The 2018–2019 Joan and Call for Nominations for Joseph Birman Fellowship for Adams Prize Women Scholars The deadline for nominations for the 2017–2018 Adams Prize for achievements in the field of mathematics of astronomy and cosmology is October 31, 2017. The new Joan and Joseph Birman Fellowship for Women See www.maths.cam.ac.uk/applications-adams- Scholars is a mid-career research fellowship specially prize-2017-18 . designed to fit the unique needs of women. The fellow- —Cambridge University announcement ships are open only to women. This fellowship program, established in 2017, is made possible by a generous gift from Joan and Joseph Birman. The fellowship seeks to address the paucity of women Call for Nominations for 2017 at the highest levels of research in mathematics by giv- Abel Prize ing exceptionally talented women extra research support during their mid-career years. The Norwegian Academy of Science and Letters awards The most likely awardee is a mid-career woman based at the Abel Prize annually to recognize outstanding scientific a US academic institution with a well-established research work in the field of mathematics, including mathemati- record in a core area of mathematics. The fellowship will cal aspects of computer science, mathematical physics, be directed toward those for whom the award will make probability, numerical analysis and scientific computing, a real difference in the development of their research ca- statistics, and also applications of mathematics in the sci- reer. Candidates must have a carefully thought-through ences. Nominations should be postmarked no later than research plan for the fellowship period. Special circum- September 15, 2017. See www.abelprize.no/c53676/ stances (such as time taken off for care of children or artikkel/vis.html?tid=53705 . other family members) may be taken into consideration —Norwegian Academy of Science and Letters in making the award. The fellowship can be used to provide additional time for research of the awardee or opportunities to work Call for Nominations for AWM with collaborators. This may include, but is not limited to, course buyouts, travel money, childcare support, or Falconer Lectureship support to attend special research programs. The Association for Women in Mathematics (AWM) and A complete application is required in order to be the Mathematical Association of America (MAA) annually considered for the fellowship. Application instructions, present the Etta Z. Falconer Lecture at MathFest to honor deadlines, and the award amount can be found on the AMS women who have made distinguished contributions to website at www.ams.org/programs/ams-fellowships/ the mathematical sciences or mathematics education. Birman-fellow . The deadline for nominations is September 1, 2017. —AMS announcement See https://sites.google.com/site/awmmath/ programs/falconer-lectures . —From an AWM announcement

766 NOTICES OF THE AMS VOLUME 64, NUMBER 7 Mathematics Opportunities NEWS Call for Nominations for AWM NSA Mathematical Sciences Schafer Prize Grants Program The Association for Women in Mathematics (AWM) calls The National Security Agency’s Mathematical Sciences for nominations for the Alice T. Schafer Mathematics Program (MSP) invites proposals from principal investiga- Prize to be awarded to an undergraduate woman for tors to support Research Experiences for Undergraduates, excellence in mathematics. The nominee must be an un- conferences, and other special events that will take place dergraduate when nominated. The deadline is October 1, during calendar years 2018 and 2019. Proposals should be 2017. See https://sites.google.com/site/awmmath/ submitted from September 1, 2017, through October 16, programs/schafer-prize . 2017. See www.nsa.gov/what-we-do/research/math- —From an AWM announcement sciences-program or contact Charles Toll (chtoll@nsa. gov) or Barbara Johnson ([email protected]). Note. For budgetary reasons, the MSP regrets that we are Call for Nominations for not able to fund individual research grants (i.e. the Young Investigator Grant and the Standard Grant) this cycle. Gerald Sacks Prize —From an NSA announcement The Association for Symbolic Logic invites nominations for the Gerald Sacks Prize for the most outstanding doctoral dissertation in mathematical logic. The dead- News from MSRI line is September 30, 2017. See www.aslonline.org/ The Mathematical Sciences Research Institute (MSRI) in- info-prizes.html or www.aslonline.org/Sacks_ vites applications for research professors, research mem- nominations.html . bers, and postdoctoral fellows in the following programs: —From an ASL announcement ï Hamiltonian Systems, from Topology to Applications through Analysis (August 13–December 14, 2018) ï Derived Algebraic Geometry (January 22–May 24, *Research Experiences for 2019) ï Birational Geometry and Moduli Spaces Undergraduates (January 22–May 24, 2019). The Research Experiences for Undergraduates (REU) pro- Research professorships are intended for senior research- gram supports active research participation by undergrad- ers who will be making key contributions to a program, uate students in any of the areas funded by the National including the mentoring of postdoctoral fellows, and who Science Foundation (NSF). Student research may be sup- will be in residence for three or more months. Research ported in two forms: REU sites and REU supplements. See memberships are intended for researchers who will be www.nsf.gov/funding/pgm_summ.jsp?pims_id=5517 . making contributions to a program and who will be in The deadline date for proposals from institutions wishing residence for one or more months. Postdoctoral fellow- to host REU sites is August 23, 2017. ships are intended for recent PhDs. The deadlines are: Deadline dates for REU supplements vary with the research professorships, October 1, 2017; research mem- research program; contact the program director for more berships, December 1, 2017; postdoctoral fellowships, information. Students apply directly to the REU sites December 1, 2017. See www.msri.org/application. (not NSF) and should consult the directory of active REU —From an MSRI announcement sites at www.nsf.gov/crssprgm/reu/list_result. jsp?unitid=5044 . —From an NSF announcement

*The most up-to-date listing of NSF funding opportunities from the Division of Mathematical Sciences can be found online at: www.nsf.gov/dms and for the Directorate of Education and Human Resources at www.nsf.gov/dir/index.jsp?org=ehr. To receive periodic updates, subscribe to the DMSNEWS listserv by following the directions at www.nsf.gov/mps/dms/about.jsp.

AUGUST 2017 NOTICES OF THE AMS 767 NEWS

Mathematics People

ematician based in the United Kingdom for distinguished Cormode and Samworth research in the mathematical sciences. The joint recipients Awarded 2017 Adams Prize will share a cash prize of 15,000 British pounds (approximately US$19,500). Graham Cormode of the Uni- —From a University of Cambridge announcement versity of Warwick and Rich- ard Samworth of the Univer- sity of Cambridge have been awarded the 2017 Adams Prize 2017 Rollo Davidson for achievements in the field Prize Awarded of statistical analysis of big data by the University of Cam- Jian Ding of the University bridge. Both are faculty fellows of Chicago and Nike Sun of of the Alan Turing Institute. the University of California Graham Cormode Cormode leads the Univer- Berkeley have been awarded sity of Warwick’s partnership the 2017 Rollo Davidson Prize. with the Institute. His current Ding was honored for his research concerns verification achievements on mixing and of machine learning, privacy, cover times and on the random data management, and big data k-SAT conjecture. Sun was se- analysis with applications to lected for her achievements in Jian Ding Internet scale data, vehicle probability theory and, spe- data, telecommunications, and cifically, on the random k-SAT social data. His work has been conjecture. The Rollo Davidson used by organizations includ- Trust was founded in 1975 and ing Google, Netflix, and Twit- Richard Samworth awards the annual prize to ter. Cormode tells the Notices: young mathematicians work- “Although fascinated by mathematics at school, I studied ing in the field of probability. computer science at Cambridge, and have labeled myself — From a Davidson Trust a computer scientist since then. This award allows me announcement to claim that the disciplinary boundaries between computer science and mathematics are much more perme- able than people may believe. I am currently revisiting Nike Sun the foundations of the subject with my son, Adam, and newborn daughter, Anna.” Samworth’s main research Prizes of the Mathematical interests are in developing methodology and theory for high-dimensional and nonparametric statistical inference. Society of Japan He is currently particularly interested in techniques for handling statistical challenges in big data that rely on The Mathematical Society of Japan (MSJ) has awarded perturbations of the data and aggregation. Samworth tells several prizes for 2017. the Notices: “After spending much of my youth playing The Spring Prize was awarded to Tomoyuki Abe of sport, I now enjoying giving visitors various challenges, Kavli Institute for the Physics and Mathematics of the including kneeling on a Swiss ball, and throwing juggling Universe, University of Tokyo, for his outstanding con- balls against a wall above a door and catching them behind tributions to the study of arithmetic D-module theory one's back while walking through.” and Langlands correspondence. The Spring Prize and the The Adams Prize is awarded annually by the Faculty Autumn Prize are the most prestigious prizes awarded of Mathematics at the University of Cambridge to a math- by the MSJ to its members. The Spring Prize is awarded

768 NOTICES OF THE AMS VOLUME 64, NUMBER 7 Mathematics People NEWS

to those under the age of forty who have obtained outstand- Joseph F. Traub Prize for ing mathematical results. Achievement in Information- The 2017 Algebra Prize was awarded to Toshiyuki Kat- Based Complexity sura of Hosei University for work in algebraic geometry Thomas Kühn of the University of Leipzig and Winfried in positive characteristic; to Sickel of the University of Jena have been named the Masanobu Kaneko of Kyushu recipients of the 2017 Joseph F. Traub Prize for Informa- University for research on qua- tion-Based Complexity. The prize carries a cash award of Tomoyuki Abe simodular forms and multiple US$3,000, to be divided between the recipients. zeta values; and to Mitsuyasu —Traub Prize Committee announcement Hashimoto of Okayama University for contributions to invariant theory and its applications to commutative ring theory. AWM Essay Contest Winners The Outstanding Paper Prize for 2017 was awarded to Bo Berndtsson of the Chalmers University of Technology Announced and László Lempert of Purdue University for their paper, “A Proof of the Ohsawa–Takegoshi Theorem with Sharp The Association for Women in Mathematics (AWM) has Estimates,” Journal of the Mathematical Society of Japan announced the winners of its 2017 essay contest, “Bi- 68 (2016), no. 4. ographies of Contemporary Women in Mathematics.” — From MSJ announcements The grand prize was awarded to Karen Ge of Naperville North High School, Naperville, Illinois, for her essay, “The Limit Does Not Exist,” about Elizabeth Moore of Naperville North High School. The essay also won first place in the Huang Awarded CAIMS/Fields high school category and will be published in the AWM Industrial Mathematics Prize Newsletter. First place in the undergraduate category was awarded to Yixuan He of Dartmouth College for the essay Huaxiong Huang of York University has been awarded “Persisting through Barriers of Inequality: A Biography the CAIMS-Fields Industrial Mathematics Prize given by the of Dr. Seema Nanda,” about Seema Nanda of Dartmouth Fields Institute and the Canadian Applied and Industrial College. First prize in the middle school category was Mathematics Society (CAIMS). According to the prize cita- awarded to Asmi Kumar of Northwestern Middle School, tion, he has more than seventy-five journal publications Milton, Georgia, for the essay “Breaking Barriers—A Math- “that involve a surprisingly broad cross-section of applied ematical Journey” about Suzy Crowe, Career Technology mathematics, including partial differential equations, Department Chair at Fulton County Schools. asymptotics, fluid mechanics, probability, stochastic —From an AWM announcement processes, and scientific computing. His work impacts a broad sphere of influence to the study of applications ranging from industrial sectors such as banking, insurance, biomedicine, energy, and material science.” He was Moody’s Mega Math Challenge the inaugural industrial coordinator at the Pacific Institute The winners of the 2017 Mega Math Challenge for high of Mathematical Sciences (PIMS). He played a critical role school students have been announced. The topic for this in the early years of the Industrial Problem-Solving Work- year was “From Sea to Shining Sea: Looking Ahead with shops and was also involved in the Graduate Industrial the National Park Service.” Mathematical Modeling Camps. The CAIMS-Fields annual The Champion Team Prize of US$20,000 in scholarship Industrial Mathematics Prize is awarded to a researcher money was awarded to a team from Adlai E. Stevenson in recognition of exceptional research in any branch of in- High School in Lincolnshire, Illinois. The team members dustrial mathematics, interpreted broadly. The nominee's research should have been conducted primarily in Canada. were Joshua Yoon, Haoyang Yu, Andrew Hwang, —From a CAIMS/Fields announcement Deepak Moparthi, and Albert Cao. Their coach was Paul Kim. The First Runner-Up Team Prize of US$15,000 in scholarship money was awarded to a team from Westford Academy in Westford, Massachusetts. The team members were Nihar Sheth, Harshal Sheth, Kartik Singh, and Adithya Vellal. Their coach was Lisa Gartner. The Third Place Team Prize of US$10,000 in scholarship money was awarded to a team from Johns Creek High School in Alpharetta, Georgia. The team members were Daniel Bodea, Jamie Wang, Anshul Tusnial,

AUGUST 2017 NOTICES OF THE AMS 769 Mathematics People NEWS

Akhil Vaidya, and Alex Hammond. They were coached writings on the subject have appeared in a number of by Julie Meert. books on mathematics and statistics education. Finalist Team Prizes of US$5,000 were awarded to three Kenney’s prize citation reads in part: “She was an out- teams. The team from High Technology High School in standing teacher, a strong leader for many professional Lincroft, New Jersey, consisted of Lori Zhang, Anjali organizations, a mentor for hundreds of classroom teach- Nambrath, Eric Jiang, Arvind Yalavarti, and Kevin ers, and an advocate for including discrete mathematics Yan. They were coached by Ellen LeBlanc. The team from in the mathematics curriculum. The summer discrete Montgomery Blair High School in Silver Spring, Maryland, mathematics institutes Peg facilitated were the highlight consisted of James Vinson, Eshan Tewari, Siddharth of professional development opportunities for hundreds Taneja, Andrew Komo, and Annie Zhao. They were of teachers who looked forward to working with her each coached by William Rose. The team from the North Caro- year.” She earned her PhD from Boston College and spent lina School of Science and Mathematics in Durham, North her career there. She assisted, instructed, or served as Carolina, consisted of Angela Deng, Evan Jiang, Miguel project coordinator in nearly fifty programs funded by de los Reyes, Lucy Wu, and Dory Li. They were coached the National Science Foundation. She was coauthor of by Dan Teague. Navigating through Discrete Mathematics in grades K–5 The Mega Math Challenge invites teams of high school and grades 6–12. She lectured or presented in more than juniors and seniors to solve an open-ended, realistic, chal- 440 institutes, seminars, and courses in Europe, Australia, lenging modeling problem focused on real-world issues. Canada, and across the United States. A member of the The top five teams receive awards ranging from US$5,000 boards of directors of both the Association of Teachers to US$20,000 in scholarship money. The competition is of Mathematics in Massachusetts and New England, she sponsored by the Moody’s Foundation, a charitable foun- served as president of both associations. She was a charter dation established by Moody’s Corporation, and organized member of the Massachusetts Hall of Fame for Mathemat- by the Society for Industrial and Applied Mathematics ics Educators (inducted in 2004) and was recognized by (SIAM). the Council of Presidential Awardees for outstanding —From a Moody’s Foundation/SIAM announcement contributions to mathematics education. She passed away on July 5, 2016. —From an NCTM announcement NCTM Lifetime Achievement Awards Scott Awarded Jones Medal The National Council of Teach- The 2016 Jones Medal has been awarded to Alastair ers of Mathematics (NCTM) Scott for his contributions during a more than fifty-year has chosen two educators to career in statistics “through path-breaking research in receive Lifetime Achievement survey sampling and biostatistics, and through service to Awards for 2017. They are the wider statistical profession in academia, government, J. Michael Shaughnessy of and society.” Scott died in May of this year. Portland State University and The Jones medal was established in 2010 by the the late Margaret J. Kenney Royal Society Te Aparangi of New Zealand in honor of of Boston College. Sir Vaughan Jones, 1990 Fields Medalist. The medal is According to the prize ci- awarded biennially for lifetime achievement in pure or J. Michael Shaughnessy tation, Shaughnessy’s “infec- applied mathematics or statistics by a person with sub- tious passion for the teaching stantial connections to New Zealand. and learning of mathematics —New Zealand Mathematics Research Institute has inspired mathematics students and teachers. With integ- rity, and a sense of humor, he has engaged us all in thinking National Academy of about critically important ideas Sciences Election in mathematics education through his dedicated teach- The National Academy of Sciences (NAS) has elected its ing, research publications, and new members and foreign associates for 2017. Following Margaret J. Kenney talks and presentations.” His are the new members whose work involves the mathemati- work “is widely recognized for cal sciences. its contributions to students' understanding of chance •Nima Arkani-Hamed, Institute for Advanced Study and data as well as students' geometric thinking.” He was •Alexander Beilinson, University of Chicago a member of the NCTM board of directors and is a past •Maury D. Bramson, University of Minnesota president. His research has included work on how students •Ronald A. DeVore, Texas A&M University think and learn about probability and statistics, and his •Noam D. Elkies, Harvard University

770 NOTICES OF THE AMS VOLUME 64, NUMBER 7 Mathematics People

NEWS A MERICAN M ATHEMATICAL S OCIETY

•Daniel A. Spielman, Yale University •Madhu Sudan, Harvard University •Don B. Zagier, Max Planck Institute for Mathematics •Shigefumi Mori, Kyoto University, foreign associate —From an NAS announcement

2017 Royal Society Elections Learn about The Royal Society of London has elected its class of Fel- lows for 2017, including the following Fellows whose work AMS eBooks involves the mathematical sciences. •Mark Gross, Cambridge University •Subhash Khot, New York University •Lawrence Paulson, Cambridge University id you know that most •Gordon Slade, University of British Columbia of our titles are now Elected as a Foreign Member was Whitfield Diffie, Stanford University. available in eBook form? —From a Royal Society announcement

Komaravolu S. Browse both our print Chandrasekharan (1920–2017) and electronic titles at K. S. Chandrasekharan, known for his work in number bookstore.ams.org. theory and summability, received, among other distinc- tions, the Padma Shri Award, one of the highest civilian honors of India. Born in the province now called Andhra Pradesh, he received his PhD at the University of Madras in 1946, under the direction of K. Ananda Rau (who had done his PhD with G. H. Hardy in Cambridge and had known Ramanujan). Chandrasekharan built up the Tata School of Mathematics and attracted to it many outstanding international researchers. In 1965, he took a position at the ETH in Zurich, where he remained until his retirement in 1988. He served as president of the International Mathematical Union from 1971 to 1974. Chandrasekharan was a man of great culture and wide knowledge, as can be seen in his review of the autobiography of Laurent Schwartz, which appeared in the October 1998 issue of the Notices.1 —Allyn Jackson

Photo Credits The photo of Graham Cormode is courtesy of University of Warwick. The photo of Richard Samworth is courtesy of Richard Samworth The photo of Jian Ding is courtesy of Jian Ding. The photo of Nike Sun is courtesy of Luisa Lee, Berkley Simons Institute. The photo of Tomoyuki Abe is courtesy of Saneatsu Yogi. The photo of J. Michael Shaughnessy is courtesy of J. Michael Shaughnessy. The photo of Margaret Kenney is courtesy of Lee Pellegrini, Boston College Office of University Communications. The photo of Tomoyuki Abe is courtesy of Saneatsu Yogi. !"##$%&'()&*+,!-.,/,012131$ !)#'$)44()###,!567839:3;$

1 www.ams.org/notices/199809/chandra.pdf

AUGUST 2017 NOTICES OF THE AMS 771 COMMUNICATION

The ì Wide Influenceî of Leonard Eugene Dickson

Della Dumbaugh and Amy Shell-Gellasch

Communicated by Stephen Kennedy

ABSTRACT. Saunders Mac Lane has referred to “the noteworthy student. The lives of wide influence” exerted by Leonard Dickson on the these three students combine with mathematical community through his 67 PhD students. contemporary issues in hiring and This paper considers the careers of three of these diversity in education to suggest students—A. Adrian Albert, Ko-Chuen Yang, and Mina that the time is ripe to expand our Rees—in order to give shape to our understanding of understanding of success beyond this wide influence. Somewhat surprisingly, this in- traditional measures. It seems fluence extends to contemporary issues in academia. unlikely that Leonard Dickson had an intentional diversity agenda for his research program at the Introduction University of Chicago. Yet this This paper raises the question: How do we, as a mathe- contemporary theme of diversity Leonard Dickson matical community, define and measure success? Leonard adds a new dimension to our un- produced 67 PhD Dickson produced sixty-seven PhD students over a for- derstanding of Dickson as a role students over a ty-year career and provides many examples of successful model/mentor. forty-year career. students. We explore the careers of just three of these students: A. Adrian Albert, Ko-Chuen Yang, and Mina Rees. A. Adrian Albert (1905–1972) Albert made important advances in our understanding of When Albert arrived at Chicago in 1922, the theory of algebra and promoted collaboration essential to a flour- algebras was among Dickson’s main research interests. ishing research community. Yang returned to China with As Irving Kaplansky observed, Dickson’s “considerable” ideas and problems from the mathematical frontier and influence on Albert manifested itself in his 1927 mas- helped build the educational structures necessary to begin ter’s thesis—where he determined all two-, three- and a research focus in his homeland. Rees played a funda- four-dimensional associative algebras over a nonmodular mental role in creating the interface between government field—as well as in his 1928 dissertation “Algebras and and academic research that has been crucial to the United their radicals and division algebras” [2, p. 246]. In his States’ preeminence in mathematics since World War II. And yet Albert is typically celebrated as Dickson’s most dissertation Albert proved that every central division algebra of dimension 16 is not necessarily cyclic but is Della Dumbaugh is professor of mathematics and associate dean always a crossed product. Albert’s thesis placed him at of the School of Arts & Sciences at the University of Richmond. Her the center of activity in the field of linear associative e-mail address is [email protected]. algebras. In particular, he, along with the German math- Amy Shell-Gellasch is currently associate professor of mathe- ematicians Richard Brauer, Helmut Hasse, and Emmy matics at Montgomery College. Her e-mail address is amy.sg@ Noether, sought to determine all central division algebras. earthlink.net. In 1931 the German trio established the principal theorem For permission to reprint this article, please contact: that every central division algebra over an algebraic num- [email protected]. ber field of finite degree is cyclic. One year later, Albert DOI: http://dx.doi.org/10.1090/noti1552 and Hasse published a joint work that gave the history

772 NOTICES OF THE AMS VOLUME 64, NUMBER 7 COMMUNICATION of the theorem and described Albert’s near influence in mathematics through his stu- miss. Although Albert would go on to make dents. In his memorial article in Scripta significant contributions to the theory of Mac Lane Mathematica, I. N. Herstein observed, Riemann matrices and to introduce single- “Adrian was extremely good at working handedly the American school of nonasso- referred to with students. This is attested by the thirty ciative algebras, he maintained an interest in Albert as mathematicians who took their PhDs with associative division algebras throughout his him. In their number are many who are well more than forty-year-long career. He wrote Leonard known mathematicians today. His interest more than one hundred forty papers and in his students—while they were students eight books, was invited to deliver a plenary Dickson’s best and forever afterwards—was known and lecture at an International Mathematical appreciated by them.” Daniel Zelinsky, in Congress, and received the AMS Cole Prize student particular, described Albert as an advisor in 1939. who treated his PhD students “almost like The scope of Albert’s talents extended members of his family” [4, p. 665]. beyond the production and publication of mathematical A. A. Albert’s success clearly reflects the influence of results. He, like Dickson and E. H. Moore, made signifi- Dickson. He pursued a vigorous research program that cant contributions to both the University of Chicago and emphasized collaboration, helped launch the careers of the AMS. During Albert’s tenure as a faculty member at numerous students, and served the profession and his the University of Chicago, he participated in a variety of institution in varied and important ways. Any advisor committees, organized conferences, chaired the mathe- would consider a student like Albert an unqualified matics department, and served as dean of the Division of success. In fact, Saunders Mac Lane referred to Albert as Physical Sciences. While chair he “skillfully” found support Leonard Dickson’s best student [3, p. 131]. But are there to maintain a steady flow of visitors and research instruc- other ways of measuring influence and success? Would tors. Albert used his influence to persuade the university a career dedicated solely to bringing the next generation to make an apartment building available, affectionately of researchers to maturity or striving to bridge the gap known as “the compound,” to house visitors. Kaplansky between academia and the larger world be worthy of this claims that the compound became the “birthplace of many description? a fine theorem” [2, pp. 251–2]. Albert realized that the infiltration of new ideas frequently encouraged a fresh Ko-Chuen Yang (1896–1973) perspective on mathematics. In addition to Albert, four other students completed their Albert’s career reflected a strong commitment to the PhDs under Dickson’s guidance in 1928. Yet we rarely hear mathematical community at large. He served the AMS of them. Dickson had recently turned his mathematical in a variety of capacities: as a committee member, as an attention, in part, to Waring’s Problem. Ko-Chuen Yang editor of the Bulletin and the Transactions, and, like Dick- (克純楊) earned his PhD that year with a dissertation on son and Moore, as president of the Society, in 1965–66. “Various Generalizations of Waring’s Problem.” This thesis The concerns of American mathematicians in the middle not only represented the first of many dissertations that two quarters of the twentieth century were, however, reflected Dickson’s recent investigations in this area, but somewhat different from those in the early years when it also marked the first and only Chinese student to earn Moore and Dickson made their contributions, and Albert’s a PhD under Dickson. service quite naturally addressed the changing needs of Yang’s journey to Dickson actually began as a small boy American mathematicians. In particular, Albert helped at the very beginning of the twentieth century, when China establish government research grants for mathematics was still in the Qing Dynasty. In June 1900 the Boxer upris- comparable to those existing ing spread to Beijing and, in particular, to the area where in other areas of science. He foreign diplomats lived and worked. On June 21, 1900, the apparently found satisfaction Qing declared a war on all foreign nations with diplomatic in this nationally oriented work ties to China. This Boxer Rebellion was suppressed in Au- for “he was always pleased to gust by a coalition army of soldiers from eight countries use his influence in Washing- (Russia, Britain, Germany, France, the United States, Italy, ton to improve the status of Japan, and Austria-Hungary). Consequently, in 1901 the mathematicians in general, and Qing government was forced to sign the Boxer Protocol, he was willing to do the same which demanded that China pay an indemnity valued for individual mathematicians at about US$337 million at the time to the eight foreign whom he considered ‘worthy’” governments over the course of thirty-nine years. About [4, p. 665]. This latter category US$24–$25 million was paid to the United States. A. Adrian Albert served included his students. This amount was not only deemed excessive by many the AMS in a variety of Beyond his service to Chi- American government officials, but it also exceeded the capacities, including cago, the AMS, and the math- actual expense for losses incurred. President Theodore as president in 1965– ematical community at large, Roosevelt proposed to Congress that the United States 1966. Albert exerted considerable return the indemnity funds to China with the stipulation

AUGUST 2017 NOTICES OF THE AMS 773 COMMUNICATION that the money be used for Chinese students to study demia Sinica and, in July 1952, in the United States. The proposal was implemented in was appointed its first director. 1908 with about US$12 million returned to China in this Through it all, Hua emerged manner. These students subsequently became known as as an important mathematician, Boxer Scholars. According to The Cambridge History of leader, scholar, and teacher in China, this sum “created a potent mechanism for support China in the mid-to late twen- of Chinese higher education.” tieth century. As the British The Chinese government also used the Boxer Indem- number theorist Heini Halber- nity Funds to create a college preparatory school in 1911 stam put it, “If many Chinese to prepare students for study in the United States. This mathematicians nowadays are preparatory school, known as Tsing-hua School, ulti- making distinguished contribu- mately grew into the National Hua Luo-geng emerged tions at the frontiers of science Tsing-hua University and, fi- as an important and if mathematics in China nally, Tsing-hua University in mathematician, leader, enjoys high popularity in pub- 1928. The initial department of scholar, and teacher lic esteem, that is due in large mathematics at Tsing-hua Uni- in China in the mid- to measure to the leadership Hua versity had four core faculty, late twentieth century. gave his country, as scholar and three of them Boxer Scholars, teacher, for 50 years.” including Ko-Chuen Yang. In Hua Luo-geng offers a compelling example of the influ- this position, Yang would influence a teacher can have, not just on one individual, but ence many Chinese mathemati- on an entire country. Although only a handful of mathe- cians, including Hua Luo-geng maticians may recognize the name of Ko-Chuen Yang, he Ko-Chuen Yang left (1910–1985), who would go on left a lasting imprint on Chinese mathematics, especially a lasting imprint on to become an important math- through his early influence on Hua Luo-geng. Chinese mathematics. ematician, leader, scholar, and Mina Rees (1902–1997) His son, Franklin Yang, teacher in China in the mid- to 1 would go on to win a late-twentieth century. In 1929, a year after Albert and Ko-Chuen Yang earned Nobel Prize in physics. Ko-Chuen Yang’s disserta- their PhDs, Mina Rees took a leave of absence from her po- tion improved existing bounds sition at Hunter College to pursue a doctorate at Chicago for certain cases of Waring’s Problem. The only manage- under Dickson. Rees had studied Dickson’s celebrated able aspect of Waring’s Problem is its statement. Waring’s Algebras and Their Arithmetics and had fallen in love with Problem concerns g(k), the smallest integer such that any the topic. Dickson had evolved into a notably successful positive integer can be expressed as the sum of at most advisor for women pursuing PhDs in mathematics in the g(k) nonnegative kth powers. The case for squares, g(2) = 4, United States in the early decades of the twentieth century. has been known since Lagrange and was conjectured by Dickson’s sixteen women PhD students between 1900 and Diophantus. Following Dickson, Yang extended known 1940 meant that he advised 8 percent of all women PhDs in results using polynomials. In particular, he improved mathematics in the United States and 40 percent of those Edmond Maillet’s 1896 result that showed every integer at Chicago.2 Dickson’s line of inquiry on division algebras greater than 19271 is a sum of twelve pyramidal numbers. was constructive, with an eye towards classification issues. He also proved that every positive integer is a sum of at This constructivist approach becomes unwieldly as the most nine pyramidal numbers. number of generators increases, so it was not generaliz- While at Tsing-hua University, Yang introduced the able. Since Rees had specifically asked to work in division young Hua Luo-geng to Waring’s Problem. Inspired by algebras, Dickson assigned her the task of constructing an Yang, Hua worked on Waring’s Problem using summands associative division algebra with four generators, the limit of polynomial functions with odd power. Hua went on to of what his method could realistically achieve, thus closing study with G. H. Hardy at Cambridge, where he published that line of research. This topic proved beneficial to both more than ten papers, most of them related to Waring’s Dickson and Rees: it gave closure to Dickson’s line of in- Problem. quiry and provided Rees with a ready-made research topic. Hua was a visiting member at the Institute for Advanced Rees completed her PhD in December 1931 and re- Study in 1946–48 and then secured a position at the turned to Hunter as an assistant professor. However, University of Illinois at Urbana-Champaign. He returned when Warren Weaver assumed his position as director to China in March 1950, where he devoted his attention, of the wartime Applied Mathematics Panel (AMP) of the in part, to educational reform, in particular to the orga- National Defense Research Committee in 1943, at the sug- nization of graduate-level education in mathematics. He gestion of Richard Courant he invited Rees to serve as a helped establish the Mathematical Institute of the Aca- technical aide and then as his executive assistant. The AMP consisted of government-appointed mathematicians and 1Halberstam describes Hua as “the leading mathematician of his time, and, with S. S. Chern, also a student of Yang, the most emi- 2Data from Green and LaDuke, Pioneering Women in Mathematics: nent mathematician of his generation” [1, p. 137]. The Pre-1940s PhDs, 2009.

774 NOTICES OF THE AMS VOLUME 64, NUMBER 7 COMMUNICATION engineers, including Courant, Marston Morse, and Oswald ticker tape, the general Veblen. The panel received priority problems from the mil- opinion at the time was itary and assigned them to research groups at universities that the nation’s needs for “Can we have across the country. As Weaver’s proxy, Rees traveled the computers would be lim- country throughout the war to determine how to assign ited to fewer than a dozen excellence and particular problems to the most appropriate research machines in total. Rees equality or group. In the process, she became intimately acquainted clearly foresaw that mul- with the state of mathematical and scientific research in tiple inputs and a more must we choose the nation, its personalities, and its future. She gained robust form of output unique understanding of the needs of researchers. The and memory would prove between them?” panel also oversaw contracts between the government and essential and lead to the universities. These negotiations required tact and finesse, growth of computers. and Rees emerged as an effective bridge between research With the founding of and academia on the one hand and the government and the National Science Foundation in 1950, the ONR’s role military on the other. The connections, skills, and insights in funding began to diminish (although the ONR supports she gained from her work on the AMP made Rees one of a program of external research grants to this day), and the most informed persons in the country on the pulse of Rees returned to Hunter in 1953 as professor and dean academic scientific research. of the faculty. She aimed to create a graduate program at With the end of hostilities in 1946, Rees once again tried Hunter and the larger CUNY system that kept pace with to return to Hunter. But within a year the call came for her an increasingly changing society. She became the first president of the Graduate School and University Center to head the Mathematical Sciences Division of the newly formed Office of Naval Research (ONR) and ultimately assume the role of deputy science director. While at ONR, Rees made funding decisions and set policy for mathematical research. As F. Joachim Weyl, son of Hermann Weyl, described it in Science, “ONR made [Rees] the architect of the first large-scale, comprehensively planned program of support for mathematical research; she pioneered its style, scale, and scope.” Thus Rees’s initiatives set the norms for funding research in the United States for the rest of the century. Despite these valuable contributions to mathematics and the American mathematical community, Rees is more widely known for her influence on early advances and uses of computers. As just one example of her insight and influence, Rees emphasized the development of vi- Rees reminding President and Lady Bird Johnson of sual displays for computers. With output originally via the importance of science funding at the time of Rees's nomination to the National Science Board of the NSF, 1965.

of the City University of New York. As such, her influence continued to shape academia in the United States, this time in the realm of graduate education. Rees posed this meaningful question in an essay that argued for equal access to higher education as a way to redress inequities in our society: “Can we have excellence and equality or must we choose between them?” This question guided much of her work and remains relevant to contemporary discussions in academia. As indications of her impact and influence, the Math- ematical Association of America awarded Mina Rees the first Award for Distinguished Service to Mathematics in 1962 and the American Association of Science elected her its first female president in 1969.

A recommendation from Richard Courant landed Concluding Thoughts Mina Rees on the Applied Mathematics Panel during World War II. Here Rees and Courant share a laugh at George David Birkhoff described Leonard Dickson as Courant's retirement party from NYU in 1965. “dogged,” and his influence on the mathematical commu-

AUGUST 2017 NOTICES OF THE AMS 775 COMMUNICATION nity supports that characterization. As Saunders Mac Lane put it, “One can contemplate with amazement the wide influence exerted by Dickson” [3, p. 133]. The careers of ABOUT THE AUTHORS just three of his students exemplify this “wide influence.” Della Dumbaugh's research focuses A. Adrian Albert, with his algebraic legacy and key lead- on the history of mathematics, espe- ership roles in the American mathematical community; cially in the early twentieth century. Ko-Chuen Yang, with his work on establishing early links Her co-authored book Emil Artin between Chinese and American mathematicians and his and Beyond: Class Field Theory and influence on one of the foremost Chinese mathematicians L-Fuctions appeared in 2015. of the twentieth century; and Mina Rees, with her keen ability to build bridges between mathematicians at uni- Della Dumbaugh versities and the government, her wartime efforts, and her broad views of education. Even more, these students, who earned their degrees Amy Shell-Gellasch's research inter- in 1928 and 1931—one Jewish, one Chinese, and one fe- ests are the history of mathematics male—show Dickson was willing to take a broad view of and its uses in teaching with a focus who could earn a doctorate in mathematics in this country on using object based learning and at that time. In contemporary terms, Dickson modeled the Smithsonian Learning Lab. Her diversity, at least as a graduate advisor, long before di- biography of Mina Rees, In Service versity became a matter of concern, or even awareness, in to Mathematics: The Life and Work of academia. Long before his student Mina Rees gave voice Mina Rees, was published by Docent to the thought, Dickson merged excellence and equality in Press in 2011. graduate education in mathematics. That commitment was only a beginning. This analysis of one aspect of his career Amy Shell-Gellasch offers promising insight into a diverse group of graduate students who, in turn, led to diverse populations of faculty and researchers who, indeed, have had a wide influence.

Bibliography [1] H. Halberstam, Hua Loo-keng: Obituary, Acta Arith. LI (1988), 137–155. [2] I. Kaplansky, Abraham Adrian Albert, A Century of Mathe- matics in America, Part I, Edited by P. Duren, Amer. Math. Soc., Providence, 1988, pp. 244–264. [3] S. Mac Lane, Mathematics at the University of Chicago: A brief history, A Century of Mathematics in America, Part II, Edited by P. Duren, Amer. Math. Soc, Providence, 1989, pp. 127–154. [4] D. Zelinsky, A. A. Albert, Amer. Math. Monthly 80 (1973), 661–665.

Photo Credits Photo of Della Dumbaugh courtesy of the University of Richmond. Photo of Richard Courant and Mina Rees courtesy of the Graduate School and University Center Archives, CUNY. Photo of President and Lady Bird Johnson with Mina Rees courtesy of the Graduate School and University Center Archives, CUNY.

For more on Mina Rees, see the article on “The World War II Origins of Mathematics Awareness,” Michael Barany, in the April 2017 issue of Notices.

776 NOTICES OF THE AMS VOLUME 64, NUMBER 7 A MERICAN MATHEMATICAL SOCIETY mathematics LANGUAGE OF THE SCIENCES engineering astronomy robotics genetics medicine biology climatology forensics statistics ﬁ nance computer science physics neuroscience chemistry geology biochemistry ecology molecular biology BOOKSHELF New and Noteworthy Titles on Our Bookshelf August 2017

Infinity: Beyond the Beyond the The Mathematics of Secrets: Beyond, by Lillian R. Lieber, with Cryptography from Caesar Ci- illustrations by Hugh Gray Lieber phers to Digital Encryption, by (Paul Dry Books, November 2007). Joshua Holden (Princeton Univer- In the May 2017 installment of sity Press, February 2017). the BookShelf, we noted the pau- Related to this month’s Opinion city of women authors of popular column by Jintai Ding and Daniel math books in the twentieth cen- Smith-Tone, who address the topic tury—as compared to the fairly of post-quantum cryptography, is large number today—and asked this new book by Joshua Holden, readers to let us know of any popu- a mathematician at Rose-Hulman lar math books by women pub- Institute of Technology. In the lished before around 1990. One book’s preface, Holden quotes reader kindly wrote in to let us know about Lillian Lieber Cambridge mathematician Ian Cassels, who was a crypt- (1886–1986), who wrote several outstanding books that analyst during World War II: “cryptography is a mixture attempt to explain modern mathematics to the general of mathematics and muddle, and without the muddle the public. The books are deftly illustrated with whimsical mathematics can be used against you.” Holden decided drawings by her husband, Hugh Gray Lieber (1896–1961). that in his book he would set aside the muddle and concen- Both Liebers were mathematicians —Lillian received a PhD trate on the mathematics. He also takes great care to keep and Hugh a master’s degree in the subject—and both the mathematics very simple—readers need background taught math at Long Island University. The book high- only up to the level of high school algebra to understand lighted here was originally published in 1953 and reissued the exposition. The book is organized according to the in abridged form in 2007. The abridgements were made historical development of cryptography, starting with by Barry Mazur of Harvard University, who in the book’s Julius Caesar’s use of ciphers, and throughout the book foreword writes,“the joy of thinking the Liebers radiate the historical background provides context and color is timeless.” He goes on to say, “The Liebers sometimes to the story. But the emphasis is on the development appear to me to be discerning shoppers in the platonic of the underlying mathematical ideas. The book covers fruit-stall of mathematics. Never content to just think a polyalphabetic substitution ciphers, connections between concept, they also have to test it, squeeze it, pinch it, sniff ciphers and computer encryption, ciphers involving it, take a few bites, and muse about their own reactions to exponentiation, and public-key ciphers. The book ends it before buying it. And then to thoroughly enjoy it.” Paul with a look to the future, including the effects quantum Dry Books has also reissued two other Lieber classics, The computers could have on cryptography. One section deals Education of T. C. Mits: What Modern Mathematics Means with post-quantum cryptography, including lattice-based to You (also with a foreword by Mazur) and The Einstein cryptographic systems. Theory of Relativity: A Trip to the Fourth Dimension (edited by David Derbes and Robert Jantzen, who also wrote the foreword). This latter book was praised by Einstein himself and later by his biographer Walter Isaacson, who called it “the clearest explanation of relativity available—and the most fun.” The BookShelf is prepared monthly by Allyn Jackson. Suggestions for the BookShelf can be sent to notices- [email protected].

We try to feature items of broad interest. Appearance of a book in the Notices BookShelf does not represent an endorsement by the Notices or by the AMS. For more, visit the AMS Reviews webpage www.ams.org/news/math-in- the-media/reviews.

778 NOTICES OF THE AMS VOLUME 64, NUMBER 7 COMMUNICATION

Ellenberg in Movie Gifted

Allyn Jackson

role and is a bit high-and-mighty towards Mary. I met the EDITOR’S NOTE. See also Anna Haensch’s AMS blog actor who played that role and, by way of small talk, told 2 post on “Growing Up Gifted” and Frank Morgan’s short him, “So I guess you’re the mean professor and I’m the review in this issue of the Notices [p. 716]. nice professor!” He immediately grew very cold. It seemed he was already to some extent in character and was really The movie Gifted, re- a bit hurt that I called him “mean.” leased in April of this Notices: What kind of directions did you get for the year, features a mathe- scene? matical prodigy, Mary, Ellenberg: Minimal. In fact, I worked quite hard to learn as protagonist. In the the lines I was given, and when I got there, the director, movie University of Marc Webb, told me, “Don’t worry about the lines; just Wisconsin’s Jordan El- talk about it the way you really would in class.” So in one lenberg has a cameo way, it was hardly acting at all; I was just being myself. role playing himself— But I had to do that little piece of exposition about thirty that is, playing a math- times in a row, and it had to be pretty much identical so ematician. The movie they could cut from different takes. It’s an interesting Ellenberg lectures on Ramanujan trailer1 on YouTube experience to try to “just be yourself” in exactly the same and the partition function. shows a split-second way again and again and again! 1 From the movie trailer. glimpse of Ellenberg at Notices: Was it fun to do, or boring, or scary, or…? the whiteboard (Figure Ellenberg: Very fun. Boring at moments—there’s a lot 1). Known for his conversational and eloquent popular- of sitting around and setting up! But it’s pretty amazing izations, including the best-selling How Not to be Wrong, to see how many people and how much work go into pro- Ellenberg has become well known to the general public ducing a minute or two of final product. as a demystifier of math. He responded e-mail to a few Notices: How did it feel to see yourself on the big screen? questions from the Notices about his new acting gig. Ellenberg: It’s a very strange feeling. Imagine you were Notices: How did it come about that you were asked to in the middle of watching a movie, and then suddenly it act in Gifted? cut to footage of yourself giving a math talk! But I think Ellenberg: It was a lucky series of coincidences! The for the audience it mostly plays as seamless. Your own producers ran across a piece3 I wrote for the Wall Street voice sounds very strange to you. I accused the director of Journal about child prodigies and set up a phone call with making my voice sound more hyperstimulated in post-pro- me and the director to talk about my own experience, duction, and he said, “No, you just sound like that.” which was both similar to and different from that of Mary, the character in the movie. Once we’d talked, they asked Photo Credit me if I could be a consultant to be on set during the big Figure 1 image courtesy of TM and © Twentieth Century Fox Film blackboard scene to check whether everything was on the Corporation. All rights reserved. level, and then, since they were filming a math professor scene on the same day of shooting, they figured they might Allyn Jackson is Senior Writer and Deputy Editor for Notices. Her as well use a real math professor! e-mail address is [email protected]. Notices: What part did you play, and how long did your 1https://www.youtube.com/watch?v=tI01wBXGHUs (fast-for- scene last? ward to 1:31) Ellenberg: I played “Professor.” So, as you can imagine, I 2Blog on Math Blogs blogs.ams.org/blogonmath- don’t have much of a backstory. I’m supposed to represent blogs/2017/04/25/growing-up-gifted/ Mary’s exposure to upper-level math. There’s one other 3https://www.wsj.com/articles/the-wrong-way-to- math professor character, who has a substantially bigger treat-child-geniuses-1401484790

AUGUSTPRIL 2017 2017 NNOTICESOTICES OFOF THETHE AMSAMS 779 View and share hundreds of images! The connection between mathematics and art goes back thousands of years. Mathematics has been used in the design of Gothic cathedrals, Rose windows, Oriental rugs, mosaics and tilings. Geometric forms were fundamental to the cubists and many abstract expressionists, and award- winning sculptors have used topology as the basis for their pieces. Dutch artist M.C. Escher represented inﬁ nity, Mˆ bius bands, tessellations, deformations, reﬂ ections, Platonic solids, spirals, symmetry, and the hyperbolic plane in his works. Mathematicians and artists continue to create stunning works in all media and to explore the visualization of mathematicsó origami, computer- generated landscapes, tessellations, fractals, anamorphic art, and more. ì Fibonacci Downpour,î by Susan Goldstine, St. Maryí s College of Maryland, St. Maryí s City, MD

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CHINA protected as historical architecture, is SOUTH AFRICA jointly sponsored by the Tianjin municipal Tianjin University, China government and the university. The initia- Gottfried Wilhelm Leibniz tive to establish this center was taken by Tenured/Tenure-Track/Postdoctoral Basic Research Institute Professor S. S. Chern. Professor Molin Ge is Positions at The Center the honorary director, Professor Zhiming Researchers Wanted for Applied Mathematics Ma is the director of the Advisory Board. The Gottfried Wilhelm Leibniz Basic Re- Professor William Y. C. Chen serves as Dozens of positions at all levels are avail- search Institute, which operates as a the director. able at the recently founded Center for PBO, invites exceptional researchers in Applied Mathematics, Tianjin University, TCAM plans to fill in fifty or more mathematics and/or quantum physics to China. We welcome applicants with back- permanent faculty positions in the apply for shorter or longer term support. grounds in pure mathematics, applied next few years. In addition, there are a Contact [email protected]. number of temporary and visiting posi- mathematics, statistics, computer science, bioinformatics, and other related tions. We look forward to receiving your 00007 fields. We also welcome applicants who application or inquiry at any time. There are interested in practical projects with are no deadlines. industries. Despite its name attached To apply, send your resume to zhangry SOUTH CAROLINA with an accent of applied mathematics, @tju.edu.cn. For more information, please visit www we also aim to create a strong presence The Citadel .cam.tju.edu.cn or contact Ms. Debbie of pure mathematics. Chinese citizenship School of Science and Mathematics is not required. Renyuan Zhang at [email protected], Light or no teaching load, adequate telephone: 86-22-2740-5389. The Citadel invites nominations and appli- 00008 facilities, spacious office environment, cations for the position of Traubert Dean and strong research support. We are of the School of Science and Mathematics. prepared to make quick and competitive Candidates must have an earned doctor- offers to self-motivated hard workers, and ate and be committed to promoting teach- to potential stars, rising stars, as well as ing and scholarship among students and shining stars. faculty at a predominantly undergraduate The Center for Applied Mathematics, institution. If interested, please see com- also known as the Tianjin Center for Ap- plete position advertisement at http:// plied Mathematics (TCAM), located by a careers.pageuppeople.com/743/cw/ lake in the central campus in a building en-us/#/job/495319/dean-school- of-science-and-mathematics 00011

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A MERICAN M ATHEMATICAL S OCIETY

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AMERICAN MATHEMATICAL SOCIETY

THE FEATURE COLUMN monthly essays on mathematical topics

Each month, the Feature Column provides an online in-depth look at a mathematical topic. Complete with graphics, links, and references, the columns cover a wide spectrum of mathematics and its applications, often including historical figures and their contributions. The authors—David Austin, Bill Casselman, Joe Malkevitch, and Tony Phillips—share their excitement about developments in mathematics.

Recent essays include:

Hidden Symmetries of Labyrinths from Antiquity and the Middle Ages Circles and Squares Petals, Flowers and Circle Packings Are Precise Definitions a Good Idea? Knot Quandaries Quelled by Quandles The Legend of Abraham Wald It Just Keeps Piling Up! Mathematics and Crystal Balls

www.ams.org/featurecolumn

Subscribe to an RSS feed for each new essay at ams.org/featurecolumn.rss MEETINGS & CONFERENCES OF THE AMS AUGUST TABLE OF CONTENTS

The Meetings and Conferences section of The most up-to-date meeting and confer- necessary to submit an electronic form, the Notices gives information on all AMS ence information can be found online at: although those who use L ATEX may submit meetings and conferences approved by www.ams.org/meetings/. abstracts with such coding, and all math press time for this issue. Please refer to Important Information About AMS displays and similarily coded material the page numbers cited on this page for Meetings: Potential organizers, (such as accent marks in text) must more detailed information on each event. speakers, and hosts should refer to be typeset in LATEX. Visit www.ams.org/ Invited Speakers and Special Sessions are page 75 in the January 2017 issue of the cgi-bin/abstracts/abstract.pl/. Ques- listed as soon as they are approved by the Notices for general information regard- tions about abstracts may be sent to abs- cognizant program committee; the codes ing participation in AMS meetings and [email protected]. Close attention should be listed are needed for electronic abstract conferences. paid to specified deadlines in this issue. submission. For some meetings the list Abstracts: Speakers should submit ab- Unfortunately, late abstracts cannot be may be incomplete. Information in this stracts on the easy-to-use interactive accommodated. A issue may be dated. Web form. No knowledge of LTEX is

MEETINGS IN THIS ISSUE

–––––––– 2018 , cont'd. –––––––– –––––––– 2017 ––––––––

April 21–22 Boston, Massachusetts p. 803 September 9–10 Denton, Texas p. 794 June 11–14 Shanghai, People's Republic of China p. 804 September 16–17 Buffalo, New York p. 795 September 29–30 Newark, Delaware p. 804 October 6–7 Fayetteville, Arkansas p. 805 September 23–24 Orlando, Florida p. 796 October 20–21 Ann Arbor, Michigan p. 805 October 27–28 San Francisco, California p. 805 November 4–5 Riverside, California p. 797 –––––––– 2019 –––––––– –––––––– 2018 –––––––– January 16–19 Baltimore, Maryland p. 806 March 15–17 Auburn, Alabama p. 806 January 10–13 San Diego, California p. 798 March 22–24 Honolulu, Hawaii p. 806

March 24–25 Columbus, Ohio p. 801 –––––––– 2020 –––––––– January 15–18 Denver, Colorado p. 807 April 14–15 Portland, Oregon p. 802 –––––––– 2021 –––––––– April 14–15 Nashville, Tennesse p. 803 January 6–9 Washington, DC p. 807

See www.ams.org/meetings/ for the most up-to-date information on these conferences.

ASSOCIATE SECRETARIES OF THE AMS Central Section: Georgia Benkart, University of Wisconsin- Southeastern Section: Brian D. Boe, Department of Mathemat- Madison, Department of Mathematics, 480 Lincoln Drive, ics, University of Georgia, 220 D W Brooks Drive, Athens, GA Madison, WI 53706-1388; e-mail: [email protected]; 30602-7403, e-mail: [email protected]; telephone: 706- telephone: 608-263-4283. 542-2547. Eastern Section: Steven H. Weintraub, Department of Math- Western Section: Michel L. Lapidus, Department of Mathemat- ematics, Lehigh University, Bethlehem, PA 18015-3174; e-mail: ics, University of California, Surge Bldg., Riverside, CA 92521- [email protected]; telephone: 610-758-3717. 0135; e-mail: [email protected]; telephone: 951-827-5910.

AUGUST 2017 NOTICES OF THE AMS 793 MEETINGS & CONFERENCES

Meetings & Conferences of the AMS

IMPORTANT INFORMATION REGARDING MEETINGS PROGRAMS: AMS Sectional Meeting programs do not appear in the print version of the Notices. However, comprehensive and continually updated meeting and program information with links to the abstract for each talk can be found on the AMS website. See www.ams.org/meetings/. Final programs for Sectional Meetings will be archived on the AMS website accessible from the stated URL .

Algebraic Combinatorics of Flag Varieties (Code: SS Denton, Texas 11A), Martha Precup, Northwestern University, and Ed- ward Richmond, Oklahoma State University. University of North Texas Analysis and PDEs in Geometry (Code: SS 20A), Stephen McKeown, Princeton University. September 9–10, 2017 Applicable and Computational Algebraic Geometry Saturday – Sunday (Code: SS 17A), Eric Hanson, Texas Christian University, and Frank Sottile, Texas A&M University. Meeting #1131 Banach Spaces and Applications (Code: SS 9A), Pavlos Central Section Motakis, Texas A&M University, and Bönyamin Sari, Uni- Associate secretary: Georgia Benkart versity of North Texas. Announcement issue of Notices: June 2017 Combinatorial/Geometric/Probabilistic Methods in Group Theory (Code: SS 19A), Rostislav Grigorchuk and Program first available on AMS website: July 27, 2017 Volodymyr Nekrashevych, Texas A&M University, Dmy- Program issue of electronic Notices: To be announced tro Savchuk, University of South Florida, and Zoran Sunic, Issue of Abstracts: Volume 38, Issue 3 Texas A&M University. Deadlines Combinatorics and Representation Theory of Reflec- tion Groups: Real and Complex (Code: SS 14A), Elizabeth For organizers: Expired Drellich, Swarthmore College, and Drew Tomlin, Hendrix For abstracts: July 18, 2017 College. Commutative Algebra (Code: SS 10A), Jonathan Mon- The scientific information listed below may be dated. tano, University of Kansas, and Alessio Sammartano, For the latest information, see www.ams.org/amsmtgs/ Purdue University. sectional.html. Differential Equation Modeling and Analysis for Complex Bio-systems (Code: SS 8A), Pengcheng Xiao, University of Invited Addresses Evansville, and Honghui Zhang, Northwestern Polytechni- Mirela Çiperiani, University of Texas at Austin, Title cal University. to be announced. Differential Geometry of Smooth and Discrete Surfaces Adrianna Gillman, Rice University, Title to be an- in Euclidean and Lorentz Spaces (Code: SS 18A), Barbara Shipman, University of Texas at Arlington, and Patrick nounced. Shipman, Colorado State University. Kevin M Pilgrim, Department of Mathematics, Indiana Dynamics, Geometry and Number Theory (Code: SS University, Bloomington, IN, Semigroups of branched map- 1A), Lior Fishman and Mariusz Urbanski, University of ping classes: dynamics and geometry. North Texas. Fractal Geometry and Ergodic Theory (Code: SS 5A), Special Sessions Mrinal Kanti Roychowdhury, University of Texas Rio If you are volunteering to speak in a Special Session, you Grande Valley. should send your abstract as early as possible via the ab- Generalizations of Graph Theory (Code: SS 22A), Nathan stract submission form found at http://www.ams.org/ Reff, SUNY Brockport, and Lucas Rusnak and Piyush cgi-bin/abstracts/abstract.pl. Shroff, Texas State University.

794 NOTICES OF THE AMS VOLUME 64, NUMBER 7 MEETINGS & CONFERENCES

Geometric Combinatorics and Combinatorial Commu- Deadlines tative Algebra (Code: SS 16A), Anton Dochtermann and For organizers: Expired Suho Oh, Texas State University. For abstracts: July 25, 2017 Homological Methods in Commutative Algebra (Code: SS 15A), Peder Thompson, Texas Tech University, and The scientific information listed below may be dated. Ashley Wheeler, University of Arkansas. For the latest information, see www.ams.org/amsmtgs/ Integrable Systems and Applications (Code: SS 24A), sectional.html. Baofeng Feng, The University of Texas Rio Grande Valley, and Akif Ibragimov and Magdalena Toda, Texas Tech Invited Addresses University. Inwon Kim, University of California at Los Angeles, Invariants of Links and 3-Manifolds (Code: SS 7A), Miec- Capillary drops on rough surfaces. zyslaw K. Dabkowski and Anh T. Tran, The University Govind Menon, Brown University, Building polyhedra of Texas at Dallas. by self-assembly. Lie Algebras, Superalgebras, and Applications (Code: SS Bruce E Sagan, Michigan State University, The protean 3A), Charles H. Conley, University of North Texas, Dimitar chromatic polynomial. Grantcharov, University of Texas at Arlington, and Natalia Rozhkovskaya, Kansas State University. Special Sessions Mathematical and Computational Biology (Code: SS 21A), Rajeev K. Azad, University of North Texas, and If you are volunteering to speak in a Special Session, you Brandilyn Stigler, Southern Methodist University. should send your abstract as early as possible via the ab- Noncommutative and Homological Algebra (Code: SS stract submission form found at http://www.ams.org/ 4A), Anne Shepler, University of North Texas, and Sarah cgi-bin/abstracts/abstract.pl. Witherspoon, Texas A&M University. Nonlocal PDEs in Fluid Dynamics (Code: SS 12A), Chan- Advanced Techniques in Graph Theory (Code: SS 9A), ghui Tan, Rice University, and Xiaoqian Xu, Carnegie Sogol Jahanbekam and Paul Wenger, Rochester Institute Mellon University. of Technology. Numbers, Functions, Transcendence, and Geometry Algebraic Topology (Code: SS 17A), Claudia Miller, Syra- (Code: SS 6A), William Cherry, University of North Texas, cuse University, and Inna Zakharevich, Cornell University. Mirela Çiperiani, University of Texas Austin, Matt Papa- Automorphic Forms and L-functions (Code: SS 14A), nikolas, Texas A&M University, and Min Ru, University Mahdi Asgari, Oklahoma State University, and Joseph of Houston. Hundley, University at Buffalo-SUNY. Real-Analytic Automorphic Forms (Code: SS 2A), Olav K CR Geometry and Partial Differential Equations in Richter, University of North Texas, and Martin Westerholt- Complex Analysis (Code: SS 5A), Ming Xiao, University of Raum, Chalmers University of Technology. Illinois at Urbana-Champaign, and Yuan Yuan, Syracuse Recent Progress on Hyperbolic Conservation Laws (Code: University. SS 23A), Ilija Jegdic, Texas Southern University, and Kata- Cohomology, Deformations, and Quantum Groups: A rina Jegdic, University of Houston, Downtown. Session Dedicated to the Memory of Samuel D. Schack Topics Related to the Interplay of Noncommutative Al- (Code: SS 6A), Miodrag Iovanov, University of Iowa, Mihai gebra and Geometry (Code: SS 13A), Richard Chandler, D. Staic, Bowling Green State University, and Alin Stancu, University of North Texas at Dallas, Michaela Vancliff, Columbus State University. University of Texas at Arlington, and Padmini Veerapen, Geometric Group Theory (Code: SS 4A), Joel Louwsma, Tennessee Technological University. Niagara University, and Johanna Mangahas, University at Buffalo-SUNY. High Order Numerical Methods for Hyperbolic PDEs and Buffalo, New York Applications (Code: SS 2A), Jae-Hun Jung, University at State University of New York at Buffalo Buffalo-SUNY, Fengyan Li, Rensselaer Polytechnic Insti- tute, and Li Wang, University at Buffalo-SUNY. September 16–17, 2017 Infinite Groups and Geometric Structures: A Session in Honor of the Sixtieth Birthday of Andrew Nicas (Code: SS Saturday – Sunday 7A), Hans Boden, McMaster University, and David Rosen- Meeting #1132 thal, St. John’s University. Eastern Section Knots, 3-manifolds and their Invariants (Code: SS 15A), Associate secretary: Steven H. Weintraub William Menasco and Adam Sikora, University at Buffalo- Announcement issue of Notices: June 2017 SUNY, and Stephan Wehrli, Syracuse University. Program first available on AMS website: August 3, 2017 Nonlinear Dispersive Partial Differential Equations Program issue of electronic Notices: To be announced (Code: SS 18A), Santosh Bhattrai, Trocaire College, and Issue of Abstracts: Volume 38, Issue 3 Sharad Silwal, Jefferson College of Health Sciences.

AUGUST 2017 NOTICES OF THE AMS 795 MEETINGS & CONFERENCES

Nonlinear Evolution Equations (Code: SS 16A), Marius Special Sessions Beceanu, SUNY Albany, and Dan-Andrei Geba, University If you are volunteering to speak in a Special Session, you of Rochester. should send your abstract as early as possible via the ab- Nonlinear Partial Differential Equations Arising from stract submission form found at http://www.ams.org/ Life Science (Code: SS 8A), Junping Shi, College of William cgi-bin/abstracts/abstract.pl. and Mary, and Xingfu Zou, University of Western Ontario. Nonlinear Wave Equations, Inverse Scattering and Ap- Advances in Dirac Equations, Variational Inequalities, plications. (Code: SS 1A), Gino Biondini, University at Sequence Spaces and Optimization (Code: SS 21A), Ram Buffalo-SUNY. N Mohapatra, University of Central Florida, and Turhan Polynomials in Enumerative, Algebraic, and Geometric Koprubasi, Kastamonu University (Turkey). Combinatorics (Code: SS 13A), Robert Davis and Bruce Algebraic Curves and their Applications (Code: SS 3A), Sagan, Michigan State University. Lubjana Beshaj, The University of Texas at Austin. Recent Advancements in Representation Theory (Code: Applied Harmonic Analysis: Frames, Samplings and SS 12A), Yiqiang Li, University at Buffalo-SUNY, and Gu- Applications (Code: SS 6A), Dorin Dutkay, Deguang Han, fang Zhao, University of Massachusetts. and Qiyu Sun, University of Central Florida. Recent Progress in Geometric Analysis (Code: SS 11A), Categorical Methods in Representation Theory (Code: SS Ovidiu Munteanu, University of Connecticut, Terrence 11A), Brian Boe, University of Georgia, Jonathan Kujawa, Napier, Lehigh University, and Mohan Ramachandran, University of Oklahoma, and Daniel K. Nakano, University University at Buffalo. of Georgia. Structural and Chromatic Graph Theory (Code: SS 10A), Commutative Algebra: Interactions with Algebraic Hong-Jian Lai, Rong Luo, and Cun-Quan Zhang, West Geometry and Algebraic Topology (Code: SS 1A), Joseph Virginia University, and Yue Zhao, University of Central Brennan, University of Central Florida, and Alina Iacob Florida. and Saeed Nasseh, Georgia Southern University. p-adic Aspects of Arithmetic Geometry (Code: SS 3A), Complex Analysis, Harmonic Analysis, and Approxi- Liang Xiao, University of Connecticut, and Hui June Zhu, mation Theory (Code: SS 15A), Alexander V Tovstolis, University at Buffalo-SUNY. University of Central Florida, and John Paul Ward, North Carolina A&T State University. Differential Equations in Mathematical Biology (Code: SS Orlando, Florida 12A), Andrew Nevai, Yuanwei Qi, and Zhisheng Shuai, University of Central Florida, Orlando University of Central Florida. Fractal Geometry, Dynamical Systems, and Their Ap- September 23–24, 2017 plications (Code: SS 4A), Mrinal Kanti Roychowdhury, University of Texas Rio Grande Valley. Saturday – Sunday Global Harmonic Analysis and its Applications (Code: Meeting #1133 SS 10A), Christopher Sogge and Yakun Xi, Johns Hopkins Southeastern Section University, and Steve Zelditch, Northwestern University. Associate secretary: Brian D. Boe Graph Connectivity and Edge Coloring (Code: SS 5A), Announcement issue of Notices: June 2017 Colton Magnant, Georgia Southern University. Program first available on AMS website: August 10, 2017 Mathematics of Biomolecules: Discrete, Algebraic, and Program issue of electronic Notices: To be announced Topological (Code: SS 20A), Natasha Jonoska, University Issue of Abstracts: Volume 38, Issue 4 of South Florida, and Christine Heitsch, Georgia Institute of Technology. Deadlines Modern Statistical Methods for Structured Data (Code: For organizers: Expired SS 17A), Marianna Pensky, University of Central Florida. For abstracts: August 1, 2017 Nonlinear Dispersive Equations (Code: SS 7A), Benjamin Harrop-Griffiths, New York University, Jonas Lührmann, The scientific information listed below may be dated. Johns Hopkins University, and Dana Mendelson, Univer- For the latest information, see www.ams.org/amsmtgs/ sity of Chicago. sectional.html. Nonlinear Elliptic Partial Differential Equations (Code: SS 16A), Luis E Silvestre, University of Chicago, and Eduardo Invited Addresses V Teixeira, University of Central Florida. Christine Heitsch, Georgia Institute of Technology, Operator Algebras and Related Topics (Code: SS 8A), Strings, trees, and RNA folding. Zhe Liu, University of Central Florida. Jonathan Kujawa, University of Oklahoma, Realizing Progress in Fixed Point Theory and Its Applications the spectrum of tensor categories. (Code: SS 9A), Clement Boateng Ampadu, Boston, MA, Christopher D Sogge, Johns Hopkins University, On the and Buthinah A. Bin Rehash and Afrah A. N. Abdou, King concentration of eigenfunctions. Abdulaziz University, Saudi Arabia.

796 NOTICES OF THE AMS VOLUME 64, NUMBER 7 MEETINGS & CONFERENCES

Recent Developments in Integral Geometry and Tomog- Algebraic Geometry (Code: SS 9A), Humberto Diaz, Jose raphy (Code: SS 14A), Alexander Katsevich, Alexander Gonzalez, and Ziv Ran, University of California, Riverside. Tovbis, and Alexandru Tamasan, University of Central Algebraic and Combinatorial Structures in Knot Theory Florida. (Code: SS 3A), Patricia Cahn, Smith College, and Sam Nel- Stochastic Analysis and Applications (Code: SS 19A), son, Claremont McKenna College. Hongwei Long, Florida Atlantic University, and Jiongmin Analysis and Geometry of Fractals (Code: SS 6A), Erin Yong, University of Central Florida. Pearse, California Polytechnic State University, Goran Structural Graph Theory (Code: SS 2A), Martin Rolek, Radunovic, University of California, Riverside, and Tim Zixia Song, and Yue Zhao, University of Central Florida. Cobler, Fullerton College, California. Symplectic and Contact Topology and Dynamics (Code: Applied Category Theory (Code: SS 4A), John Baez, SS 13A), Basak Gürel, University of Central Florida, and University of California, Riverside. Viktor Ginzburg, University of California, Santa Cruz. Characteristics of a Successful Mathematics Gateway Trends in Applications of Functional Analysis in Compu- Program (Code: SS 12A), Sara Lapan, University of Califor- tational and Applied Mathematics (Code: SS 18A), M Zuhair nia, Riverside, Jeff Meyer, California State University, San Nashed, University of Central Florida. Bernardino, and David Weisbart, University of California, Riverside. Combinatorial Aspects of the Polynomial Ring (Code: Riverside, California SS 1A), Sami Assaf and Dominic Searles, University of Southern California. University of California, Riverside Combinatorial Representation Theory (Code: SS 5A), November 4–5, 2017 Vyjayanthi Chari, University of California, Riverside, and Maria Monks Gillespie and Monica Vazirani, University Saturday – Sunday of California, Davis. Meeting #1134 Conservation Laws, Nonlinear Waves and Applications (Code: SS 18A), Geng Chen, University of Kansas, Tien Western Section Khai Nguyen, North Carolina State University, and Qing- Associate secretary: Michel L. Lapidus tian Zhang, University of California, Davis. Announcement issue of Notices: September 2017 Foundations of Quantum Theory (Code: SS 26A), Jukka Program first available on AMS website: September 21, Virtanen, University of California, Los Angeles, and David 2017 Weisbart, University of California, Riverside. Program issue of electronic Notices: To be announced Issue of Abstracts: Volume 38, Issue 4 Generalized Geometry (Code: SS 16A), Daniele Grand- ini, Virginia State University, and Yat-Sun Poon, University Deadlines of California, Riverside. For organizers: Expired Geometric Analysis (Code: SS 24A), Zhiqi Lu, University For abstracts: September 12, 2017 of California, Irvine, Jie Qing, University of California, Santa Cruz, Guofang Wei, University of California, Santa The scientific information listed below may be dated. Barbara, and Qi Zhang, University of California, Riverside. For the latest information, see www.ams.org/amsmtgs/ Geometric Partial Differential Equations and their Ap- sectional.html. plications (Code: SS 29A), Po-Ning Chen, University of California, Riverside, Henri Roesch, Duke University, and Invited Addresses Richard M. Schoen and Xiangwen Zhang, University of Paul Balmer, University of California, Los Angeles, An California, Irvine. invitation to tensor-triangular geometry. Homotopy Theory (Code: SS 28A), Jonathan Beardsley, Pavel Etingof, Massachusetts Institute of Technology, University of Washington. Double affine hecke algebras and their applications. Mathematical Fluid Mechanics (Code: SS 27A), James Monica Vazirani, University of California, Davi, P Kelliher and Lizheng Tao, University of California, Combinatorics, categorification, and crystals. Riverside. Model Theory (Code: SS 14A), Artem Chernikov, Uni- Special Sessions versity of California, Los Angeles, and Isaac Goldbring, If you are volunteering to speak in a Special Session, you University of California, Irvine. should send your abstract as early as possible via the ab- Non-Commutative Birational Geometry, Cluster Struc- stract submission form found at http://www.ams.org/ tures and Canonical Bases (Code: SS 19A), Arkady Beren- cgi-bin/abstracts/abstract.pl. stein, University of Oregon, Eugene, Jacob Greenstein, University of California, Riverside, and Vladimir Retakh, Advances in Operator Algebras (Code: SS 13A), Mi- Rutgers University. chael Hartglass, UC Riverside, Santa Clara University, Nonlinear Elliptic Differential and Integral Equations and Chenxu Wen and Feng Xu, University of California, (Code: SS 25A), Mathew Gluck, University of Oklahoma, Riverside. and John Villavert, University of Texas, Rio Grande Valley.

AUGUST 2017 NOTICES OF THE AMS 797 MEETINGS & CONFERENCES

Particle Methods and Nonlocal Partial Differential Equa- Associate secretary: Georgia Benkart tions (Code: SS 23A), Katy Craig, University of California, Announcement issue of Notices: October 2017 Santa Barbara, and Franca Hoffman, University of Cam- Program first available on AMS website: To be announced bridge. Program issue of electronic Notices: To be announced Preparing Students for American Mathematical Compe- Issue of Abstracts: Volume 39, Issue 1 titions (Code: SS 7A), Adam Glesser, Phillip Ramirez, and Bogdan D. Suceava, California State University, Fullerton. Deadlines Random Matrices: Theory and Applications (Code: SS For organizers: Expired 20A), Ioana Dumitriu, University of Washington, and For abstracts: September 26, 2017 Thomas Trogdon, University of California, Irvine. Random and Deterministic Dynamical Systems (Code: The scientific information listed below may be dated. SS 15A), Nicolai Haydn, University of Southern California, For the latest information, see www.ams.org/amsmtgs/ Los Angeles. national.html. Rational Cherednik Algebras and Categorification (Code: SS 8A), Pavel Etingof, Massachusetts Institute of Joint Invited Addresses Technology, and Ivan Losev, Northeastern University. Gunnar Carlsson, Stanford University, Title to be an- Research in Mathematics by Early Career Graduate Stu- nounced (AMS-MAA Invited Address). dents (Code: SS 22A), Michael Bishop, Stefaan Delcroix, Moon Duchin, Tufts University, Title to be announced Marat Markin, Khang Tran, and Oscar Vega, California (MAA-AMS-SIAM Gerald and Judith Porter Public Lecture). State University, Fresno. André Neves, University of Chicago, Title to be an- Riemannian Manifolds of Non-Negative Sectional Curva- nounced (AMS-MAA Invited Address). ture (Code: SS 21A), Owen Dearricott, University of Mel- bourne, and Fernando Galaz-Garcia, Karlsruhe Institute AMS Invited Addresses of Technology. Federico Ardila, San Francisco State University, Title Ring Theory and Related Topics (Celebrating the 75th to be announced. Jason Bell Birthday of Lance W. Small) (Code: SS 2A), , Ruth Charney, Brandeis University, Title to be an- University of Waterloo, Ellen Kirkman, Wake Forest Uni- nounced. versity, and Susan Montgomery, University of Southern Cynthia Dwork, Harvard University, Title to be an- California. nounced (AMS Josiah Willard Gibbs Lecture). Several Complex Variables (Code: SS 10A), Bingyuan Liu Dana Randall, Georgia Institute of Technology, Title to and Bun Wong, University of California, Riverside. be announced. Stochastic and Multi-scale Models in Mathematical Biol- Edriss Titi, Texas A&M University, Title to be announced. ogy, Analysis and Simulations (Code: SS 17A), Mark Alber, Avi Wigderson, Princeton University, Title to be an- University of California, Riverside, and Bjorn Birnir, Uni- nounced (AMS Colloquium Lectures). versity of California, Santa Barbara. Tensor Categories: Bridging Algebra, Topology, and AMS Special Sessions Physics (Code: SS 11A), Paul Bruillard, Pacific Northwest If you are volunteering to speak in a Special Ses- National Laboratory, Julia Plavnik, Texas A&M University, and Henry Tucker, University of California, San Diego. sion, you should send your abstract as early as possible via the abstract submission form found at http://jointmathematicsmeetings.org/meetings/ San Diego, California abstracts/abstract.pl?type=jmm. San Diego Convention Center and San Some sessions are cosponsored with other organiza- Diego Marriott Hotel and Marina tions. These are noted within the parenthesis at the end of each listing, where applicable. January 10–13, 2018 A Showcase of Number Theory at Liberal Arts Colleges (Code: SS 53A), Adriana Salerno, Bates College, and Lola Wednesday – Saturday Thompson, Oberlin College. Meeting #1135 Accelerated Advances in Mathematical Fractional Joint Mathematics Meetings, including the 124th Annual Programming (Code: SS 12A), Ram Verma, International Meeting of the AMS, 101st Annual Meeting of the Math- Publications USA, and Alexander Zaslavski, Israel Insti- ematical Association of America (MAA), annual meetings tute of Technology. of the Association for Women in Mathematics (AWM) and Advances in Applications of Differential Equations to the National Association of Mathematicians (NAM), and the Disease Modeling (Code: SS 56A), Libin Rong, Oakland winter meeting of the Association of Symbolic Logic (ASL), University, Elissa Schwartz, Washington State University, with sessions contributed by the Society for Industrial and and Naveen K. Vaidya, University of Missouri - Kansas Applied Mathematics (SIAM). City.

798 NOTICES OF THE AMS VOLUME 64, NUMBER 7 MEETINGS & CONFERENCES

Advances in Difference, Differential, and Dynamic Equa- Combinatorics and Geometry (Code: SS 70A), Federico tions with Applications (Code: SS 20A), Elvan Akin, Mis- Ardila, San Francisco State University, Anastasia Chavez, souri University S&T, and John Davis, Baylor University. MSRI and University of California, Davis, and Laura Esco- Advances in Operator Algebras (Code: SS 58A), Marcel bar, University of Illinois Urbana Champaign. Bischoff, Vanderbilt University, Ian Charlesworth, Univer- Commutative Algebra in All Characteristics (Code: sity of California, Los Angeles, Brent Nelson, University SS 67A), Neil Epstein, George Mason University, Karl of California, Berkeley, and Sarah Reznikoff, Kansas State Schwede, University of Utah, and Janet Vassilev, Univer- University. sity of New Mexico. Advances in Operator Theory, Operator Algebras, and Computational Combinatorics and Number Theory Operator Semigroups (Code: SS 42A), Asuman G. Aksoy, (Code: SS 76A), Jeremy F. Alm, Illinois College, and David Claremont McKenna College, Zair Ibragimov, California Andrews and Rob Hochberg, University of Dallas. State University, Fullerton, Marat Markin, California State Connections in Discrete Mathematics: Graphs, Hyper- University, Fresno, and Ilya Spitkovsky, New York Uni- graphs, and Designs (Code: SS 80A), Amin Bahmanian, versity, Abu Dhabi. Illinois State University, and Theodore Molla, University Algebraic, Analytic, and Geometric Aspects of Integrable Illinois Urbana-Champaign. Systems, Painlevé Equations, and Random Matrices (Code: Differential Geometry (Code: SS 28A), Vincent B. Bo- SS 75A), Vladimir Dragovic, University of Texas at Dallas, nini and Joseph E. Borzellino, Cal Poly San Luis Obispo, Anton Dzhamay, University of Northern Colorado, and Bogdan D. Suceava, California State University, Fullerton, Sevak Mkrtchyan, University of Rochester. and Guofang Wei, University of California, Santa Barbara. Algebraic, Discrete, Topological and Stochastic Ap- Diophantine Approximation and Analytic Number proaches to Modeling in Mathematical Biology (Code: SS Theory in Honor of Jeffrey Vaaler (Code: SS 29A), Shab- 66A), Olcay Akman, Illinois State University, Timothy D. nam Akhtari, University of Oregon, Lenny Fukshansky, Comar, Benedictine University, Daniel Hrozencik, Chicago Claremont McKenna College, and Clayton Petsche, Oregon State University, and Raina Robeva, Sweet Briar College. State University. Alternative Proofs in Mathematical Practice (Code: SS Discrete Dynamical Systems and Applications (Code: SS 11A), John W. Dawson, Jr., Pennsylvania State University, 51A), E. Cabral Balreira, Saber Elaydi, and Eddy Kwessi, York. Trinity University. Analysis of Fractional, Stochastic, and Hybrid Dynamic Discrete Neural Networking and Applications (Code: SS Systems (Code: SS 13A), John R. Graef, University of Ten- 6A), Murat Adivar, Fayetteville State University, Michael nessee at Chattanooga, Gangaram S. Ladde, University A. Radin, Rochester Institute of Technology, and Youssef of South Florida, and Aghalaya S. Vatsala, University of Raffoul, University of Dayton. Louisiana at Lafayette. Dynamical Algebraic Combinatorics (Code: SS 68A), Analysis of Nonlinear Partial Differential Equations and James Propp, University of Massachusetts, Lowell, Tom Applications (Code: SS 85A), Tarek M. Elgindi, University Roby, University of Connecticut, Jessica Striker, North of California, San Diego, and Edriss S. Titi, Texas A&M Dakota State University, and Nathan Williams, University University and Weizmann Institute of Science. of California Santa Barbara. Applied and Computational Combinatorics (Code: SS Dynamical Systems with Applications to Mathematical 55A), Torin Greenwood, Georgia Institute of Technology, Biology (Code: SS 79A), Guihong Fan, Columbus State and Jay Pantone, Dartmouth College. University, Jing Li, California State University Northridge, Arithmetic Dynamics (Code: SS 41A), Robert L. Bene- and Chunhua Shan, University of Toledo. detto, Amherst College, Benjamin Hutz, Saint Louis Dynamical Systems: Smooth, Symbolic, and Measurable University, Jamie Juul, Amherst College, and Bianca (a Mathematics Research Communities Session) (Code: SS Thompson, Harvey Mudd College. 16A), Kathryn Lindsey, Boston College, Scott Schmieding, Beyond Planarity: Crossing Numbers of Graphs (a Northwestern University, and Kurt Vinhage, University Mathematics Research Communities Session) (Code: SS of Chicago. 15A), Axel Brandt, Davidson College, Garner Cochran, Emergent Phenomena in Discrete Models (Code: SS University of South Carolina, and Sarah Loeb, University 82A), Dana Randall, Georgia Institute of Technology, and of Illinois, Urbana-Champaign. Andrea Richa, Arizona State University. Bifurcations of Difference Equations and Discrete Dy- Emerging Topics in Graphs and Matrices (Code: SS 60A), namical Systems (Code: SS 61A), Arzu Bilgin and Toufik Sudipta Mallik, Northern Arizona University, Keivan Has- Khyat, University of Rhode Island. sani Monfared, University of Calgary, and Bryan Shader, Boundaries for Groups and Spaces (Code: SS 7A), Joseph University of Wyoming. Maher, CUNY College of Staten Island, and Genevieve Ergodic Theory and Dynamical Systems–to Celebrate Walsh, Tufts University. the Work of Jane Hawkins (Code: SS 71A), Julia Barnes, Combinatorial Commutative Algebra and Polytopes Western Carolina University, Rachel Bayless, Agnes Scott (Code: SS 1A), Robert Davis, Michigan State University, College, Emily Burkhead, Duke University, and Lorelei and Liam Solus, KTH Royal Institute of Technology. Koss, Dickinson College.

AUGUST 2017 NOTICES OF THE AMS 799 MEETINGS & CONFERENCES

Extremal Problems in Approximations and Geometric Mathematical Modeling of Natural Resources (Code: Function Theory (Code: SS 81A), Ram Mohapatra, Univer- SS 39A), Shandelle M. Henson, Andrews University, and sity of Central Florida. Natali Hritonenko, Prairie View A&M University. Financial Mathematics, Actuarial Sciences, and Related Mathematical Modeling, Analysis and Applications in Fields (Code: SS 48A), Albert Cohen, Michigan State Univer- Population Biology (Code: SS 47A), Yu Jin, University of sity, Nguyet Nguyen, Youngstown State University, Oana Nebraska-Lincoln, and Ying Zhou, Lafayette College. Mocioalca, Kent State University, and Thomas Wakefield, Mathematical Problems in Ocean Wave Modeling and Youngstown State University. Fluid Mechanics (Code: SS 49A), Christopher W. Curtis, Fractional Difference Operators and Their Application San Diego State University, and Katie Oliveras, Seattle (Code: SS 59A), Christopher S. Goodrich, Creighton Pre- University. paratory School, and Rajendra Dahal, Coastal Carolina Mathematical Relativity and Geometric Analysis (Code: University. SS 72A), James Dilts and Michael Holst, University of Free Convexity and Free Analysis (Code: SS 21A), J. Wil- California, San Diego. liam Helton, University of California, San Diego, and Igor Mathematics Research from the SMALL Undergraduate Klep, University of Auckland. Research Program (Code: SS 73A), Colin Adams, Frank Geometric Analysis (Code: SS 86A), Davi Maximo, Uni- Morgan, and Cesar E. Silva, Williams College. versity of Pennsylvania, Lu Wang, University of Wisconsin- Mathematics of Gravitational Wave Science (Code: SS Madison, and Xin Zhou, University of California Santa 40A), Andrew Gillette and Nikki Holtzer, University of Barbara. Arizona. Geometric Analysis and Geometric Flows (Code: SS 54A), Mathematics of Quantum Computing and Topological David Glickenstein, University of Arizona, and Brett Phases of Matter (Code: SS 26A), Paul Bruillard, Pacific Kotschwar, Arizona State University. Northwest National Laboratory, David Meyer, University History of Mathematics (Code: SS 50A), Sloan Despeaux, of California San Diego, and Julia Plavnik, Texas A&M Western Carolina University, Jemma Lorenat, Pitzer Col- University. lege, Clemency Montelle, University of Canterbury, Daniel Metric Geometry and Topology (Code: SS 77A), Christine Otero, Xavier University, and Adrian Rice, Randolph- Escher, Oregon State University, and Catherine Searle, Macon College. Wichita State University. Homotopy Type Theory (a Mathematics Research Com- Modeling in Differential Equations - High School, Two- munities Session) (Code: SS 14A), Simon Cho, University Year College, Four-Year Institution (Code: SS 22A), Cor- of Michigan, Liron Cohen, Cornell University, and Edward ban Harwood, George Fox University, William Skerbitz, Morehouse, Wesleyan University. Wayzata High School, Brian Winkel, SIMIODE, and Dina If You Build It They Will Come: Presentations by Scholars Yagodich, Frederick Community College. in the National Alliance for Doctoral Studies in the Math- Multi-scale Modeling with PDEs in Computational Sci- ematical Sciences (Code: SS 25A), Edray Goins and David ence and Engineering:Algorithms, Simulations, Analysis, Goldberg, Purdue University, and Phil Kutzko, University and Applications (Code: SS 37A), Salim M. Haidar, Grand of Iowa. Valley State University. Interactions of Inverse Problems, Signal Processing, and Imaging (Code: SS 36A), M. Zuhair Nashed, University of Network Science (Code: SS 31A), David Burstein, Central Florida, Willi Freeden, University of Kaiserslaut- Swarthmore College, Franklin Kenter, United States Naval ern, and Otmar Scherzer, University of Vienna. Academy, and Feng Shi, University of North Carolina at Markov Chains, Markov Processes and Applications Chapel Hill. (Code: SS 27A), Alan Krinik and Randall J. Swift, California New Trends in Celestial Mechanics (Code: SS 10A), Rich- State Polytechnic University. ard Montgomery, University of California Santa Cruz, and Mathematical Analysis and Nonlinear Partial Differ- Zhifu Xie, University of Southern Mississippi. ential Equations (Code: SS 33A), Hongjie Dong, Brown Nilpotent and Solvable Geometry (Code: SS 32A), Michael University, Peiyong Wang, Wayne State University, and Jablonski, University of Oklahoma, Megan Kerr, Wellesley Jiuyi Zhu, Louisiana State University. College, and Tracy Payne, Idaho State University. Mathematical Fluid Mechanics: Analysis and Applica- Noncommutative Algebras and Noncommutative Invari- tions (Code: SS 38A), Zachary Bradshaw and Aseel Farhat, ant Theory (Code: SS 24A), Ellen Kirkman, Wake Forest University of Virginia. University, and James Zhang, University of Washington. Mathematical Information in the Digital Age of Science Nonlinear Evolution Equations of Quantum Physics (Code: SS 83A), Patrick Ion, University of Michigan, Olaf and Their Topological Solutions (Code: SS 34A), Stephen Teschke, zbMath Berlin, and Stephen Watt, University of Gustafson, University of British Columbia, Israel Michael Waterloo. Sigal, University of Toronto, and Avy Soffer, Rutgers Mathematical Methods in Genomics (Code: SS 4A), David University. Koslicki, Oregon State University. Novel Methods of Enhancing Success in Mathematics Mathematical Modeling and Analysis of Infectious Classes (Code: SS 35A), Ellina Grigorieva, Texas Womans Diseases (Code: SS 65A), Kazuo Yamazaki, University of University, and Natali Hritonenko, Prairie View A&M Rochester. University.

800 NOTICES OF THE AMS VOLUME 64, NUMBER 7 MEETINGS & CONFERENCES

Open and Accessible Problems for Undergraduate Re- Spectral Theory, Disorder and Quantum Physics (Code: search (Code: SS 18A), Michael Dorff, Brigham Young Uni- SS 57A), Rajinder Mavi and Jeffery Schenker, Michigan versity, Allison Henrich, Seattle University, and Nicholas State University. Scoville, Ursinus College. Stochastic Processes, Stochastic Optimization and Con- Operators on Function Spaces in One and Several Vari- trol, Numerics and Applications (Code: SS 78A), Hongwei ables (Code: SS 45A), Catherine Bénéteau, University of Mei, University of Central Florida, Zhixin Yang and Quan South Florida, and Matthew Fleeman and Constanze Liaw, Yuan, Ball State University, and Guangliang Zhao, GE Baylor University. Global Research. Orthogonal Polynomials and Applications (Code: SS Strengthening Infrastructures to Increase Capacity 17A), Abey Lopez-Garcia, University of South Alabama, Around K-20 Mathematics (Code: SS 74A), Brianna Don- and Xiang-Sheng Wang, University of Louisiana at Lafay- aldson, American Institute of Mathematics, and William ette. Jaco and Michael Oehrtman, Oklahoma State University. Orthogonal Polynomials, Quantum Probability, and Structure and Representations of Hopf Algebras: a ses- Stochastic Analysis (Code: SS 8A), Julius N. Esunge, Uni- sion in honor of Susan Montgomery (Code: SS 30A), Siu- versity of Mary Washington, and Aurel I. Stan, Ohio State Hung Ng, Louisiana State University, and Lance Small and University. Henry Tucker, University of California, San Diego. Quantum Link Invariants, Khovanov Homology, and Theory, Practice, and Applications of Graph Clustering Low-dimensional Manifolds (Code: SS 64A), Diana Hub- (Code: SS 63A), David Gleich, Purdue University, and Jen- bard, University of Michigan, and Christine Ruey Shan nifer Webster and Stephen J. Young, Pacific Northwest Lee, University of Texas at Austin. National Laboratory. Quaternions (Code: SS 23A), Terrence Blackman, Topological Data Analysis (Code: SS 84A), Henry Adams, Colorado State University, Gunnar Carlsson, Stan- Medgar Evers College, City University of New York, and ford University, and Mikael Vejdemo-Johansson, CUNY Johannes Familton and Chris McCarthy, Borough of Man- College of Staten Island. hattan Community College, City University of New York. Topological Graph Theory: Structure and Symmetry Recent Trends in Analysis of Numerical Methods of (Code: SS 3A), Jonathan L. Gross, Columbia University, Partial Differential Equations (Code: SS 2A), Sara Pollock, and Thomas W. Tucker, Colgate University. Wright State University, and Leo Rebholz, Clemson Uni- Visualization in Mathematics: Perspectives of Mathemati- versity. cians and Mathematics Educators (Code: SS 52A), Karen Research by Postdocs of the Alliance for Diversity in Allen Keene, North Carolina State University, and Mile Mathematics (Code: SS 62A), Aloysius Helminck, Univer- Krajcevski, University of South Florida. sity of Hawaii - Manoa, and Michael Young, Iowa State Women in Symplectic and Contact Geometry and Topol- University. ogy (Code: SS 44A), Bahar Acu, Northwestern University, Research from the Rocky Mountain-Great Plains Gradu- Ziva Myer, Duke University, and Yu Pan, Massachusetts ate Research Workshop in Combinatorics (Code: SS 69A), Institute of Technology (AMS-AWM). Michael Ferrara, University of Colorado Denver, Leslie Hogben, Iowa State University, Paul Horn, University of Denver, and Tyrrell McAllister, University of Wyoming. Research in Mathematics by Early Career Graduate Columbus, Ohio Students (Code: SS 46A), Michael Bishop, Marat Markin, Ohio State University Khang Tran, and Oscar Vega, California State University, Fresno. March 17–18, 2018 Research in Mathematics by Undergraduates and Saturday – Sunday Students in Post-Baccalaureate Programs (Code: SS 19A), Tamas Forgacs, CSU Fresno, Darren A. Narayan, Roches- Meeting #1136 ter Institute of Technology, and Mark David Ward, Purdue Central Section University (AMS-MAA-SIAM). Associate secretary: Georgia Benkart Set Theory, Logic and Ramsey Theory (Code: SS 5A), Announcement issue of Notices: December 2017 Andrés Caicedo, Mathematical Reviews, and José Mijares, Program first available on AMS website: January 31, 2018 University of Colorado, Denver (AMS-ASL). Program issue of electronic Notices: To be announced Set-theoretic Topology (Dedicated to Jack Porter in Honor Issue of Abstracts: Volume 39, Issue 2 of 50 Years of Dedicated Research) (Code: SS 43A), Nathan Carlson, California Lutheran University, Jila Niknejad, Deadlines University of Kansas, and Lynne Yengulalp, University For organizers: August 15, 2017 of Dayton. For abstracts: January 22, 2018 Special Functions and Combinatorics (in honor of Dennis Stanton’s 65th birthday) (Code: SS 9A), Susanna Fishel, The scientific information listed below may be dated. Arizona State University, Mourad Ismail, University of For the latest information, see www.ams.org/amsmtgs/ Central Florida, and Vic Reiner, University of Minnesota. sectional.html.

AUGUST 2017 NOTICES OF THE AMS 801 MEETINGS & CONFERENCES

Invited Addresses Nonlinear Evolution Equations (Code: SS 9A), John Aaron Brown, University of Chicago, Title to be an- Holmes and Feride Tiglay, Ohio State University. nounced. Nonlinear Waves and Patterns (Code: SS 19A), Anna Tullia Dymarz, University of Wisconsin-Madison, Title Ghazaryan, Miami University, Stephane Lafortune, Col- to be announced. lege of Charleston, and Vahagn Manukian and Alin Pogan, June Huh, Institute for Advanced Study, Title to be Miami University. announced. Probability in Convexity and Convexity in Probability (Code: SS 2A), Elizabeth Meckes, Mark Meckes, and Elisa- Special Sessions beth Werner, Case Western Reserve University. If you are volunteering to speak in a Special Session, you Quantum Symmetries (Code: SS 3A), David Penneys, should send your abstract as early as possible via the ab- The Ohio State University, and Julia Plavnik, Texas A & stract submission form found at http://www.ams.org/ M University. cgi-bin/abstracts/abstract.pl. Recent Advances in Approximation Theory and Opera- tor Theory (Code: SS 1A), Jan Lang and Paul Nevai, The Algebraic Combinatorics: Association Schemes, Finite Ohio State University. Geometry, and Related Topics (Code: SS 15A), Sung Y. Recent Development of Nonlinear Geometric PDEs (Code: Song, Iowa State University, and Bangteng Xu, Eastern SS 12A), Bo Guan, Ohio State University, Qun Li, Wright Kentucky University. State University, Xiangwen Zhang, University of Califor- Algebraic Curves and Their Applications (Code: SS 17A), nia, Irvine, and Fangyang Zheng, Ohio State University. Artur Elezi, American University, Monika Polak, Maria Several Complex Variables (Code: SS 13A), Liwei Chen, Curie-Sklodowska University (Poland) and University of Kenneth Koenig, and Liz Vivas, Ohio State University. Information Science and Technology (Mac, and Tony Shaska, Oakland University. Algebraic and Combinatorial Aspects of Tropical Ge- ometry (Code: SS 11A), Maria Angelica Cueto, Ohio State Portland, Oregon University, Yoav Len, University of Waterloo, and Martin Portland State University Ulirsch, University of Michigan. Algebraic, Combinatorial, and Quantum Invariants of April 14–15, 2018 Knots and Manifolds (Code: SS 6A), Cody Armond, Ohio Saturday – Sunday State University, Mansfield, Micah Chrisman, Monmouth University, and Heather Dye, McKendree University. Meeting #1137 Coherent Structures in Interfacial Flows (Code: SS 14A), Western Section Benjamin Akers and Jonah Reeger, Air Force Institute of Associate secretary: Michel L. Lapidus Technology. Announcement issue of Notices: January 2018 Commutative and Combinatorial Algebra (Code: SS Program first available on AMS website: February 15, 2018 18A), Jennifer Biermann, Hobart and William Smith Col- Program issue of electronic Notices: To be announced leges, and Kuei-Nuan Lin, Penn State University, Greater Issue of Abstracts: Volume 39, Issue 2 Allegheny. Convex Bodies in Algebraic Geometry and Representa- Deadlines tion Theory (Code: SS 20A), Dave Anderson, Ohio State For organizers: September 14, 2017 University, and Kiumars Kaveh, University of Pittsburgh. For abstracts: February 6, 2018 Differential Equations and Applications (Code: SS 8A), King-Yeung Lam and Yuan Lou, Ohio State University, and The scientific information listed below may be dated. Qiliang Wu, Michigan State University. For the latest information, see www.ams.org/amsmtgs/ Geometric Methods in Shape Analysis (Code: SS 10A), Se- bastian Kurtek and Tom Needham, Ohio State University. sectional.html. Graph Theory (Code: SS 5A), John Maharry, Ohio State Invited Addresses University, Yue Zhao, University of Central Florida, and Xiangqian Zhou, Wright State University. Sándor Kovács, University of Washington, Seattle, Title Homological Algebra (Code: SS 4A), Ela Celikbas and to be announced. Olgur Celikbas, West Virginia University. Elena Mantovan, California Institute of Technology, Multiplicative Ideal Theory and Factorization (in honor Title to be announced. of Tom Lucas retirement) (Code: SS 7A), Evan Houston, Dimitri Shlyakhtenko, University of California, Los University of North Carolina, Charlotte, and Alan Loper, Angeles, Title to be announced. Ohio State University. Noncommutative Algebra and Noncommutative Al- Special Sessions gebraic Geometry (Code: SS 16A), Jason Gaddis, Miami If you are volunteering to speak in a Special Session, you University, and Robert Won, Wake Forest University. should send your abstract as early as possible via the

802 NOTICES OF THE AMS VOLUME 64, NUMBER 7 MEETINGS & CONFERENCES abstract submission form found at http://www.ams.org/ Selected Topics in Graph Theory (Code: SS 3A), Songling cgi-bin/abstracts/abstract.pl. Shan, Vanderbilt University, and David Chris Stephens and Dong Ye, Middle Tennessee State University. Inverse Problems (Code: SS 2A), Hanna Makaruk, Los Structural Graph Theory (Code: SS 4A), Joshua Fallon, Alamos National Laboratory (LANL), and Robert Owcza- Louisiana State University, and Emily Marshall, Arcadia rek, University of New Mexico, Albuquerque & Los Alamos. University. Pattern Formation in Crowds, Flocks, and Traffic (Code: SS 1A), J. J. P. Veerman, Portland State University, Alethea Barbaro, Case Western Reserve University, and Bassam Boston, Bamieh, UC Santa Barbara. Massachusetts Nashville, Tennessee Northeastern University Vanderbilt University April 21–22, 2018 Saturday – Sunday April 14–15, 2018 Saturday – Sunday Meeting #1139 Eastern Section Meeting #1138 Associate secretary: Steven H. Weintraub Southeastern Section Announcement issue of Notices: January 2018 Associate secretary: Brian D. Boe Program first available on AMS website: March 1, 2018 Announcement issue of Notices: January 2018 Program issue of electronic Notices: To be announced Program first available on AMS website: February 22, 2018 Issue of Abstracts: Volume 39, Issue 2 Program issue of electronic Notices: To be announced Deadlines Issue of Abstracts: Volume 39, Issue 2 For organizers: September 21, 2017 Deadlines For abstracts: February 20, 2018 For organizers: September 14, 2017 For abstracts: February 13, 2018 The scientific information listed below may be dated. For the latest information, see www.ams.org/amsmtgs/ sectional.html The scientific information listed below may be dated. . For the latest information, see www.ams.org/amsmtgs/ Invited Addresses sectional.html. Jian Ding, University of Chicago, Title to be announced. Invited Addresses Edward Frenkel, University of California, Berkeley, Title to be announced (Einstein Public Lecture in Mathematics). Andrea Bertozzi, University of California Los Angeles, Valentino Tosatti, Northwestern University, Title to be Title to be announced (Erdo˝s Memorial Lecture). announced. J. M. Landsberg, Texas A & M University, Title to be Maryna Viazovska, École Polytechnique Fédérale de announced. Lausanne, Title to be announced. Jennifer Morse, University of Virginia, Title to be announced. Special Sessions Kirsten Wickelgren, Georgia Institute of Technology, If you are volunteering to speak in a Special Session, you Title to be announced. should send your abstract as early as possible via the abstract submission form found at http://www.ams.org/ Special Sessions cgi-bin/abstracts/abstract.pl. If you are volunteering to speak in a Special Session, you should send your abstract as early as possible via the ab- Algebraic and Extremal Graph Theory (Code: SS 13A), stract submission form found at http://www.ams.org/ Sebastian M. Cioaba, University of Delaware, and Michael cgi-bin/abstracts/abstract.pl. Tait, Carnegie Mellon University. Analysis and Geometry in Non-smooth Spaces (Code: Difference Equations and Applications (Code: SS 2A), SS 5A), Nageswari Shanmugalingam and Gareth Speight, Michael A. Radin, Rochester Institute of Technology, and University of Cincinnati. Youssef Raffoul, University of Dayton, Ohio. Arithmetic Dynamics (Code: SS 1A), Jacqueline M. Quantization for Probability Distributions (Code: SS Anderson, Bridgewater State University, Robert Bene- 1A), Mrinal Kanti Roychowdhury, University of Texas detto, Amherst College, and Joseph H. Silverman, Brown Rio Grande Valley. University.

AUGUST 2017 NOTICES OF THE AMS 803 MEETINGS & CONFERENCES

Arrangements of Hypersurfaces (Code: SS 2A), Graham The scientific information listed below may be dated. Denham, University of Western Ontario, and Alexander I. For the latest information, see www.ams.org/amsmtgs/ Suciu, Northeastern University. internmtgs.html. Ergodic Theory and Dynamics in Combinatorial Number Theory (Code: SS 7A), Stanley Eigen, Northeastern Univer- Invited Addresses sity, Daniel Glasscock, Ohio State University, and Vidhu Yu-Hong Dai, Academy of Mathematics and System Prasad, University of Massachusetts, Lowell. Sciences, Title to be announced. Facets of Symplectic Geometry and Topology (Code: SS Kenneth A. Ribet, University of California, Berkeley, 3A), Tara Holm, Cornell University, Jo Nelson, Columbia Title to be announced. Richard M. Schoen University, and Jonathan Weitsman, Northeastern Uni- , University of California, Irvine, Title to be announced. versity. Sijue Wu, University of Michigan, Title to be announced. Geometry of Moduli Spaces (Code: SS 10A), Ana-Marie Chenyang Xu, Peking University, Title to be announced. Castravet and Emanuele Macrí, Northeastern University, Jiangong You, Nankai University, Title to be announced. Benjamin Schmidt, University of Texas, and Xiaolei Zhao, Northeastern University. Call for Special Session Proposals Homological Commutative Algebra (Code: SS 11A), Sean The Program Committee for the 2018 American Math- Sather-Wagstaff, Clemson University, and Oana Veliche, ematical Society-Chinese Mathematical Society joint meet- Northeastern University. ing invites proposals for special sessions to be held at this Hopf Algebras, Tensor Categories, and Homological meeting. Algebra (Code: SS 8A), Cris Negron, Massachusetts Insti- A proposal should include: tute of Technology, Julia Plavnik, Texas A&M, and Sarah * the title of the session, Witherspoon, Texas A&M University. * the names, affiliations, and email addresses of the New Developments in Inverse Problems and Imaging organizers, with one organizer designated as the “contact (Code: SS 9A), Ru-Yu Lai, University of Minnesota, and person”, Ting Zhou, Northeastern University. * a brief description of the topic of the session, * a tentative list of people to be invited to speak in this Polytopes and Discrete Geometry (Code: SS 6A), Gabriel session. Cunningham, University of Massachusetts, Boston, Mark As one of the aims of this joint meeting is to increase Mixer, Wentworth Institute of Technology, and Egon cooperation between mathematicians in the US and China, Schulte, Northeastern University. each special session should have at least one organizer Singularities of Spaces and Maps (Code: SS 4A), Terence from each of the US and China. Gaffney and David Massey, Northeastern University. Early submission of proposals is encouraged, and pro- The Gaussian Free Field and Random Geometry (Code: posals will be approved on a rolling basis. The final dead- SS 12A), Jian Ding, University of Chicago, and Vadim line for special session proposals is November 30, 2017. Gorin, Massachusetts Institute of Technology. Proposals should be sent by email to Professor Steven H. Weintraub, AMS Associate Secretary, shw2@lehigh. Shanghai, People’s edu. Republic of China Newark, Delaware Fudan University University of Delaware

June 11–14, 2018 September 29–30, 2018 Saturday – Sunday Monday – Thursday Meeting #1141 Meeting #1140 Eastern Section Associate secretary: Steven H. Weintraub Associate secretary: Steven H. Weintraub Announcement issue of Notices: April 2018 Announcement issue of Notices: June 2018 Program first available on AMS website: To be announced Program first available on AMS website: August 9, 2018 Program issue of electronic Notices: To be announced Program issue of electronic Notices: To be announced Issue of Abstracts: To be announced Issue of Abstracts: Volume 39, Issue 3

Deadlines Deadlines For organizers: To be announced For organizers: February 28, 2018 For abstracts: To be announced For abstracts: July 31, 2018

804 NOTICES OF THE AMS VOLUME 64, NUMBER 7 MEETINGS & CONFERENCES

The scientific information listed below may be dated. Program issue of electronic Notices: To be announced For the latest information, see www.ams.org/amsmtgs/ Issue of Abstracts: Volume 39, Issue 4 sectional.html. Deadlines Invited Addresses For organizers: March 20, 2018 Leslie Greengard, New York University, Title to be an- For abstracts: August 21, 2018 nounced. Elisenda Grigsby, Boston College, Title to be announced. The scientific information listed below may be dated. Davesh Maulik, Massachusetts Institute of Technology, Title to be announced. For the latest information, see www.ams.org/amsmtgs/ sectional.html. Fayetteville, Invited Addresses Elena Fuchs, University of Illinois Urbana-Champaign, Arkansas Title to be announced. Andrew Putman, University of Notre Dame, Title to be University of Arkansas announced. Charles Smart, University of Chicago, Title to be an- October 6–7, 2018 nounced. Saturday – Sunday Special Sessions Meeting #1142 If you are volunteering to speak in a Special Session, you Southeastern Section should send your abstract as early as possible via the ab- Associate secretary: Brian D. Boe Announcement issue of Notices: July 2018 stract submission form found at http://www.ams.org/ Program first available on AMS website: August 16, 2018 cgi-bin/abstracts/abstract.pl. Program issue of electronic Notices: To be announced Issue of Abstracts: Volume 39, Issue 3 Geometry of Submanifolds, in Honor of Bang-Yen Chens 75th Birthday (Code: SS 1A), Alfonso Carriazo, University Deadlines of Sevilla, Ivko Dimitric, Penn State Fayette, Yun Myung For organizers: March 6, 2018 Oh, Andrews University, Bogdan D. Suceava, California For abstracts: August 7, 2018 State University, Fullerton, Joeri Van der Veken, Univer- sity of Leuven, and Luc Vrancken, Universite de Valen- The scientific information listed below may be dated. ciennes. For the latest information, see www.ams.org/amsmtgs/ sectional.html. Invited Addresses San Francisco, Mihalis Dafermos, Princeton University, Title to be announced. California Jonathan Hauenstein, University of Notre Dame, Title to be announced. San Francisco State University Kathryn Mann, University of California Berkeley, Title to be announced. October 27–28, 2018 Saturday – Sunday Ann Arbor, Michigan Meeting #1144 University of Michigan, Ann Arbor Western Section Associate secretary: Michel L. Lapidus October 20–21, 2018 Announcement issue of Notices: July 2018 Saturday – Sunday Program first available on AMS website: September 6, 2018 Program issue of electronic Notices: To be announced Meeting #1143 Issue of Abstracts: Volume 39, Issue 4 Central Section Associate secretary: Georgia Benkart Deadlines Announcement issue of Notices: July 2018 For organizers: March 27, 2018 Program first available on AMS website: August 30, 2018 For abstracts: August 28, 2018

AUGUST 2017 NOTICES OF THE AMS 805 MEETINGS & CONFERENCES

The scientific information listed below may be dated. For the latest information, see www.ams.org/amsmtgs/ Honolulu, Hawaii sectional.html. University of Hawaii at Manoa Invited Addresses March 22–24, 2019 Srikanth B. Iyengar, University of Utah, Title to be announced. Friday – Sunday Central Section Sarah Witherspoon, Texas A&M University, Title to be Associate secretaries: Georgia Benkart and Michel L. announced. Lapidus Abdul-Aziz Yakubu, Howard University, Title to be Announcement issue of Notices: To be announced announced. Program first available on AMS website: To be announced Program issue of electronic Notices: To be announced Baltimore, Maryland Issue of Abstracts: To be announced Deadlines Baltimore Convention Center, Hilton Bal- For organizers: May 15, 2018 timore, and Baltimore Marriott Inner Har- For abstracts: January 22, 2019 bor Hotel Invited Addresses January 16–19, 2019 Barry Mazur, Harvard University, Title to be announced (Einstein Public Lecture in Mathematics). Wednesday – Saturday Aaron Naber, Northwestern University, Title to be an- Joint Mathematics Meetings, including the 125th Annual nounced. Meeting of the AMS, 102nd Annual Meeting of the Math- Deanna Needell, University of Colorado, Boulder, Title ematical Association of America (MAA), annual meetings to be announced. of the Association for Women in Mathematics (AWM)and Katerine Stange, University of Colorado, Boulder, Title the National Association of Mathematicians (NAM), and the to be announced. winter meeting of the Association of Symbolic Logic (ASL), Andrew Suk, University of Illinois at Chicago, Title to with sessions contributed by the Society for Industrial and be announced. Applied Mathematics (SIAM). Associate secretary: Steven H. Weintraub Call for Special Session Proposals Announcement issue of Notices: October 2018 The AMS solicits proposals for Special Sessions at the 2019 Program first available on AMS website: To be announced Joint AMS Central and Western Sectional Meeting to be Program issue of electronic Notices: To be announced held Friday March 22 through Sunday March 24, 2019 at the University of Hawaii at Manoa, Honolulu, Hawaii. Each Issue of Abstracts: To be announced proposal must include: Deadlines 1. the name, affiliation, and e-mail address of each For organizers: April 2, 2018 organizer, with one organizer designated as the contact person for all communication about the session; For abstracts: To be announced 2. the title and a brief description (no longer than one or two paragraphs) of the topic of the proposed Special Session; Auburn, Alabama 3. the primary two–digit MSC (Mathematics Subject Classification) number for the topic—see www.ams.org Auburn University /mathscinet/msc/msc2010.html; March 15–17, 2019 4. a sample list of the names of up to ten speakers and their institutions, whom the organizers plan to invite. (It Friday – Sunday is not necessary to have received confirmed commitments Southeastern Section from these potential speakers.) Associate secretary: Brian D. Boe Organizers are strongly encouraged to consult the AMS Announcement issue of Notices: To be announced Manual for Special Session Organizers at: www.ams.org Program first available on AMS website: To be announced /meetings/specialsessionmanual.html. Program issue of electronic Notices: To be announced Proposals for Special Sessions should be sent by e-mail Issue of Abstracts: To be announced to AMS Associate Secretary, Michel Lapidus (lapidus @math.ucr.edu), by May 15, 2018. The contact organizer Deadlines of the proposal will be notified whether their proposal has For organizers: To be announced been accepted after the May 15, 2018 deadline for propos- For abstracts: To be announced als has passed, but no later than June 15, 2018.

806 NOTICES OF THE AMS VOLUME 64, NUMBER 7 MEETINGS & CONFERENCES

Special Sessions will be allotted between five and fifteen hours in which to schedule speakers. Additional instruc- A MERICAN M ATHEMATICAL S OCIETY tions and the session’s schedule will be sent to the contact organizer of the accepted sessions by July 1, 2018. Denver, Colorado !u!" esource Colorado Convention Center CENTER! January 15–18, 2020 The American Mathematical Society welcomes you to use the information and tools provided in our online Author Resource Wednesday – Saturday Center to prepare your work for publication. The Center is Joint Mathematics Meetings, including the 126th Annual available to assist you with successfully writing, editing, Meeting of the AMS, 103rd Annual Meeting of the Math- illustrating, and publishing your mathematical works. ematical Association of America (MAA), annual meetings of the Association for Women in Mathematics (AWM) and Visit www.ams.org/authors the National Association of Mathematicians (NAM), and the to start utilizing this great resource! winter meeting of the Association of Symbolic Logic (ASL), with sessions contributed by the Society for Industrial and Applied Mathematics (SIAM) Associate secretary: Michel L. Lapidus Announcement issue of Notices: Ocrtober 2019 Program first available on AMS website: November 1, 2019 Program issue of electronic Notices: To be announced Issue of Abstracts: To be announced

Deadlines For organizers: April 1, 2019 For abstracts: To be announced

Washington, District AMERICAN MATHEMATICAL SOCIETY of Columbia Student Mathematical Library Walter E. Washington Convention Center Te AMS undergraduate series, the Student Mathematical Library, includes books that will spark students’ interests in modern mathematics and increase their appreciation for research. Books published January 6–9, 2021 in the series emphasize original topics and approaches. Te step Wednesday – Saturday from mathematical coursework to mathematical research is one of the most important developments in a mathematician’s career. Joint Mathematics Meetings, including the 127th Annual To make the transition successfully, the student must be motivated Meeting of the AMS, 104th Annual Meeting of the Math- and interested in doing mathematics rather than merely learning it. ematical Association of America (MAA), annual meetings Tese books are suitable for honors courses, upper-division seminars, reading courses, or self-study. of the Association for Women in Mathematics (AWM) and the National Association of Mathematicians (NAM), and the winter meeting of the Association of Symbolic Logic (ASL), with sessions contributed by the Society for Industrial and Applied Mathematics (SIAM). Associate secretary: Brian D. Boe Announcement issue of Notices: October 2020 Program first available on AMS website: November 1, 2020 Program issue of electronic Notices: To be announced Issue of Abstracts: To be announced

Deadlines For more information on this series visit For organizers: April 1, 2020 bookstore.ams.org/STML For abstracts: To be announced !"##$%&'()&*+,!-./.,0,123242$5 !)#'$)66()###,!789:4;<4=$

AUGUST 2017 NOTICES OF THE AMS 807 THE BACK PAGE

"Think only about the problems that are a trillion dollars and up." ó Advice given to D. J. Patil, Obama's deputy chief technology ofcer for data policy, according to an article, "Data for Good," by Tim Chartier in the April 2017 Math Horizons. Other priorities included problems that afect either more than half the population or populations without recourse.

Grade Inflation

Artwork by Sam White.

QUESTIONABLE MATHEMATICS A freshman was bemoaning being the only one with a roommate. I said that was impossible, but the student didn't get it...

What crazy things happen to you? Readers are invited to submit original short amusing stories, math jokes, cartoons, and other material to: [email protected].

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American Mathematical Society Mathematical Surveys and Colloquium Publications Monographs !"#$"%&'()!&#*+),-"#&.)) /0'(")123)4#5)6""%)4121(-)) Volume 223 Volume 63 Cornelia Druţu<,!"#$%&"#'(")*+,-#'#.#%/* )TEXTBOOK) 012345/*6,'#%5*7',853& Geometric Alice and Bob <,123,!"#$%&'( Group Theory !"#$%&'#()*+#$,)$-./01','2+$ Meet Banach )%*+,"#$<,6,'9%4-'#:*32*;")'234,'"/*<"9'-/*;= The Interface of 3#,0#'(2+$-&*4/.2.$*&5$67*&'70$ Asymptotic Geometric Analysis and Quantum 5:=>,12,1??;23:@,AB,C6D312,E:F1 Cornelia Drut¸u Information Theory Michael Kapovich %&),(0*'2,&$!"#,(/ G7;H;2=:2D,D;6I;=7:F,D76J?,=>;67B,:2,1,K67I, Guillaume Aubrun 6/"''%/0&(7/28/4<,6,'9%4-'#>*;)".5%*?%4,"45* Stanis!aw J. Szarek 1FF;HH:A8;,=6,13L12F;3,D713J1=;,H=J3;2=H,123, @:3,*A/*B'))%.4C",,%/*D4",(%<,123,Stanisław J. B6J2D,7;H;17F>,I1=>;I1=:F:12H<,=>:H,L68JI;, 9:%8&;<,;"-%*E%-#%4,*F%-%49%*6,'9%4-'#:/* K:88H,1,D1?,:2,=>;,8:=;71=J7;,123,9:88,A;,JH;KJ8,=6, ;)%9%)",5/*0G American Mathematical Society 7;H;17F>;7H,:2,D;6I;=7:F,D76J?,=>;67B,123,:=H, CB,AJ:83:2D,1,A7:3D;,A;=9;;2,=96,3:H=:2F=,AJ=, 1??8:F1=:62HM -+''+./"/0(1/2'"#%3"+45, Volume 63; 2017; approximately 814 pages; Hardcover; :2=;2H:L;8B,:2=;71F=:2D,K:;83H<,NHBI?=6=:F,O;6I;=7:F,N218BH:H,123,PJ12=JI, ISBN: 978-1-4704-1104-6; List US$135; AMS members US$108; Order code Q2K67I1=:62,R>;67B<,=>:H,A66S,?7;H;2=H,3;;?,:2H:D>=H,:2=6,=>;,A;>1L:67,6K, COLL/63 ;2=12D8;I;2=,123,7;81=;3,?>;26I;21,:2,1,>:D>(3:I;2H:6218,H;==:2DM !%3$&0%3"#%'(9/8,&<5(%4=(!+4+>8%*$5, Volume 223; 2017; approximately 413 TEXTBOOKpages; Hardcover; ISBN: 978-1-4704-3468-7; List US$116; AMS members US$92.80; Order code SURV/223 TEXTBOOKS FROM THE AMS /3712("3)6#3"&2) /08"5&1 !"2(5$852'2,&9$:*('.$;$*&5$<$$ $TEXTBOOK!"#$%&"#'&"(%)&"*"+(",('&%'-"#"$'(./&& Joseph J. Rotman<,6,'9%4-'#:*32*+))',3'-* 68%=/%3&(93/="&5("4(!%3$&0%3"#5, Volume 165; 2015; 706 pages; Hardcover; "#*64C","H;$"&I"'8,/*+@ ISBN: 978-1-4704-1554-9; List US$89; AMS members US$71.20; Order code *+,-&%".&"/,),(%0&%(.&,%&).(&1#$)-0&+#-& GSM/165 2""%&-,3%,4,5#%)67&$"($3#%,8"/0&#%/&'#%7& 68%=/%3&(93/="&5("4(!%3$&0%3"#5, Volume 180;TEXTBOOK 2017; approximately 549 pages; -"5),(%-&+#9"&2""%&$".$,))"%:&*+"&4,$-)& Hardcover; ISBN: 978-1-4704-2311-7; List US$94; AMS members US$75.20; Order 1#$)0&/"-,3%"/&4($&#&4,$-)&7"#$&(4&3$#/;#)"& code GSM/180 TEXTBOOKS #63"2$#0&5(%-,-)-&(4&).(&5(;$-"-<&=#6(,-& FROM THE AMS )+"($7&#%/&'(/;6"&)+"($7:&*+"&-"5(%/& 1#$)&1$"-"%)-&'#%7&)(1,5-&'"%),(%"/&,%& )+"&4,$-)&1#$)&,%&3$"#)"$&/"1)+&#%/&,%&'($"& TEXTBOOK = Textbook /")#,60&,%56;/,%3&3$(;1&)+"($70&$"1$"-"%> )#),(%&)+"($70&+('(6(3,5#6?"2$#0&5#)"3($,"-0&#%/&5('';)#),9"?"2$#: = Applied Mathematics 9&3?(68%=/%3&(93/="&5("4(!%3$&0%3"#5, Volumes 165, 180; 2017; approximately = Available in eBook Format 1254 pages; Hardcover; ISBN: 978-1-4704-4174-6; List US$174; AMS members US$139.20; Order code GSM/165/180

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