Spring Section Meeting at Penn State Behrend

Total Page:16

File Type:pdf, Size:1020Kb

Spring Section Meeting at Penn State Behrend Spring 2018 Allegheny Mountain Section of the Mathematical AlleghenyAssociation of America Mountain Section of the Mathematical Association of America Allegheny Mountain Section Newsletter Allegheny Mountain Section Newsletter INSIDE THIS ISSUE Letter from our Representative 2 to the MAA Congress Chair’s Report 3 Seeking nominations for Distin- 4 guished Teaching, Service and Mentor Awards Section NExT Report 5 Candidate Biographies 6,7 Meeting Schedule 8 Invited Speaker’s Talk Abstracts 9-10 Section Student News 10,11 Found Math and Spring Puzzle 12 SPRING SECTION MEETING AT PENN STATE BEHREND Don’t miss the spring 2018 Allegheny Mountain Section meeting April 6-7 at Penn State Behrend in Erie, Pa! Several changes have been made to our schedule this year. The former pizza party will be a FREE PIZZA DINNER for students which will take place concurrently with the banquet Friday even- ing. The pizza dinner will then transition into the student problem-solving competition. Since we ex- pect more students to be dining on campus, we will be starting the student talks earlier in the even- ing. Additionally, in place of the pizza party, we will have a dessert reception for all students and fac- ulty. This means we will still have the informal gathering following the student talks that so many of us have always enjoyed. We have several exciting talks lined up as well. Ken Ono from Emory University – Pólya Lecturer, will be speaking Friday afternoon. On Saturday morning we will hear from Annalisa Crannell from Franklin & Marshall College and our closing talk will be given by Michael Dorff from Brigham Young University. Their talk titles and abstracts can be found on pages 9 and 10. Also, don’t miss the Section NExT workshop conducted by Annalisa Crannell Friday afternoon and the Section Business Meeting Saturday morning - everyone is welcome to attend. You can see the full meeting schedule on page 8. We hope to see you in Erie! Allegheny Mountain Section Newsletter SECTION REPRESENTATIVE TO THE MAA CONGRESS: Pam Wovchko Report from the MAA Congress As I listened to reports from differ- meeting at JMM 2018. ent councils, I realized how much work is done in the committees and At the January Congress meeting, councils. Please consider volun- we received leadership reports, teering for a committee or council. discussed the MAA Core Values, You need to be a member of the talked about the role of section MAA, but you don’t necessarily representatives, and considered have to attend the national meet- minor bylaw changes. ings, as some committees do most of their work via electronic commu- While much of the reports involved nication. Please go to the link normal business, there were some https://www.maa.org/about-maa/ outstanding accomplishments/ governance/council-and- improvements that I will share with committees-list to see a description Pam Wovchko of West Virginia you. With much excitement, the of the committees and to complete Wesleyan College, Guide to Evidence-Based Instruc- a form to volunteer. Your help is Representative to the MAA tional Practices in Undergraduate needed. Congress Mathematics was released and can be downloaded from the MAA Once again, do not forget about website. Please encourage your the revised departmental member- “As I listened to reports colleagues to take a look at the ship. Benefits include: one MAA from different councils, guide. In other news, the MAA faculty membership, an UNLIM- I realized how much successfully bid to host the Inter- ITED number of full-time student work is done in the national Mathematical Olympiad in memberships (students are not re- committees and the U.S.A. in 2021. To learn more quired to be mathematics majors), councils. Please about what the MAA is doing, $100 off every hosted WeBWorK consider volunteering browse through the MAA website; course, and more. Departmental for a committee or there is a plethora of resources membership prices are as low at council.” available to you. Check out the $500. For more information go to: Math Careers Section, nominate a https://www.maa.org/membership/ colleague for an MAA award, or membership-categories/ go to the Programs and Communi- departmental-membership-benefits ties section for curriculum re- sources, grant opportunities, and Have a great spring semester. I more! hope to see you in Erie. Page 2 Spring 2018 FROM THE CHAIR: Tim Flowers I interviewed for my job at IUP in meeting on April 6 and 7 at Penn the spring of 2010. On that inter- State Behrend. We have a fan- view, my soon-to-be colleague tastic lineup of plenary speakers Kimberly Burch talked to me about this year. Annalisa Crannell re- the Allegheny Mountain Section. turns to our section to speak She told me about the annual again and she will give the Sec- spring meetings and the Section tion NExT workshop. MAA Presi- NExT activities. So, when I arrived dent-Elect, Michael Dorff will also in western PA that fall, I was al- be with us. In addition, this is our ready excited about joining the year to host one of the MAA's MAA and getting involved in our Pólya Lecturers, Ken Ono. We section. I had the advantage of have a Pólya Lecture in our already being familiar with the section only once every five MAA (see my letter from last fall's years, so you will not want to newsletter), but that personal con- miss this meeting! Tim Flowers of Indiana nection from a colleague pushed University of Pennsylvania, me to get involved. We are also excited to make Section Chair some changes to our program- This is an example of another way ming for students this year, which that we can all help expand the we think, will be an improvement “This is an example of mission of our section and the As- and help get more of them con- another way that we sociation – invite our newer col- nected (see front page). can all help expand the leagues to get involved. And the mission of our section Spring Meeting is the perfect place I am going to try one other new and the Association – to start. When you invite them, thing this year, taking a sugges- also give some advice about how tion from one of the other MAA invite our newer your local campus culture would sections. On Saturday morning, I colleagues to get have them proceed on missing will host a short session during involved. And the classes for a day. Early career the faculty talks for members and Spring Meeting is the faculty and our adjunct/temporary attendees to provide feedback perfect place to start.” faculty colleagues can benefit tre- and ideas about our section. All mendously from our section meet- ideas – small tweaks to grand ing, but are often very hesitant to dreams and everything in be- miss any Friday classes. (If that is tween – will be welcome. Check you, please ask around your de- your registration folder for more partment for suggestions). information. We are excited to head back to the Have a wonderful semester. I Erie area for our Spring Meeting look forward to seeing you in and we look forward to a great Erie. Page 3 Allegheny Mountain Section Newsletter SEEKING NOMINATIONS FOR AWARD RECIPIENTS 2018 Allegheny Mountain Section Distinguished Teaching Award The criterion for the Annual Allegheny Mountain Section Distinguished Teaching Award is a record of ex- traordinary success in teaching, a record of teaching effectiveness that can be documented, and an ability to foster curiosity and generate excitement about mathematics. It is preferable to have an award recipient whose teaching influence extends beyond their own institution. The nominee should be a member of the MAA, must teach at an institution within the section, and should have at least five years of teaching experi- ence in a mathematical science. Teaching is to be interpreted in its broadest sense, not necessarily limited to classroom teaching (it may in- clude activities such as preparing students for mathematical competitions at the college level, for example, the Putnam Prize Competition or the Mathematical Contest in Modeling, or attracting students to become majors in a mathematical science or to become Ph.D. candidates). Please send your nomination, with a description of how the nominee meets the criterion, by March 5, 2018 to: Dan Shifflet [email protected] Clarion University Department of Chemistry, Mathematics, and Physics 840 Wood Street Clarion, PA 16214 2018 Allegheny Mountain Section 2018 Allegheny Mountain Section Service Award Mentor Award The criterion for the Annual Allegheny Mountain The Mentor Award has been a part of the Allegheny Section Service Award is a consistent record of Mountain Section since the year 2000. A nominee excellence in service to the section over a period should have made significant contributions to the de- of time. In this context "service" is interpreted in a velopment of undergraduate students in mathematics broad sense to include holding office, coordinating as scholars. This includes, but is not limited to, en- contests, organizing sessions, acting as a panelist, couraging student participation in MAA activities and speaking at sessions, acting as the coordinating advising students who make presentations at the Sec- host for a meeting, or participating in any other tion meetings. Please send your nomination with a activity that contributes to the well-being of the description of how the nominee meets the criteria, by Section. Please send your nomination, with a de- March 5, 2018 to : scription of how the nominee meets the criterion, by March 5, 2018 to: David Prier [email protected] Kim Roth Gannon University [email protected] Department of Mathematics Juniata College 162 W.
Recommended publications
  • A Life Inspired by an Unexpected Genius
    Quanta Magazine A Life Inspired by an Unexpected Genius The mathematician Ken Ono believes that the story of Srinivasa Ramanujan — mathematical savant and two-time college dropout — holds valuable lessons for how we find and reward hidden genius. By John Pavlus The mathematician Ken Ono in his office at Emory University in Atlanta. For the first 27 years of his life, the mathematician Ken Ono was a screw-up, a disappointment and a failure. At least, that’s how he saw himself. The youngest son of first-generation Japanese immigrants to the United States, Ono grew up under relentless pressure to achieve academically. His parents set an unusually high bar. Ono’s father, an eminent mathematician who accepted an invitation from J. Robert Oppenheimer to join the Institute for Advanced Study in Princeton, N.J., expected his son to follow in his footsteps. Ono’s mother, meanwhile, was a quintessential “tiger parent,” discouraging any interests unrelated to the steady accumulation of scholarly credentials. This intellectual crucible produced the desired results — Ono studied mathematics and launched a promising academic career — but at great emotional cost. As a teenager, Ono became so desperate https://www.quantamagazine.org/the-mathematician-ken-onos-life-inspired-by-ramanujan-20160519/ May 19, 2016 Quanta Magazine to escape his parents’ expectations that he dropped out of high school. He later earned admission to the University of Chicago but had an apathetic attitude toward his studies, preferring to party with his fraternity brothers. He eventually discovered a genuine enthusiasm for mathematics, became a professor, and started a family, but fear of failure still weighed so heavily on Ono that he attempted suicide while attending an academic conference.
    [Show full text]
  • Arxiv:1906.07410V4 [Math.NT] 29 Sep 2020 Ainlpwrof Power Rational Ftetidodrmc Ht Function Theta Mock Applications
    MOCK MODULAR EISENSTEIN SERIES WITH NEBENTYPUS MICHAEL H. MERTENS, KEN ONO, AND LARRY ROLEN In celebration of Bruce Berndt’s 80th birthday Abstract. By the theory of Eisenstein series, generating functions of various divisor functions arise as modular forms. It is natural to ask whether further divisor functions arise systematically in the theory of mock modular forms. We establish, using the method of Zagier and Zwegers on holomorphic projection, that this is indeed the case for certain (twisted) “small divisors” summatory functions sm σψ (n). More precisely, in terms of the weight 2 quasimodular Eisenstein series E2(τ) and a generic Shimura theta function θψ(τ), we show that there is a constant αψ for which ∞ E + · E2(τ) 1 sm n ψ (τ) := αψ + X σψ (n)q θψ(τ) θψ(τ) n=1 is a half integral weight (polar) mock modular form. These include generating functions for combinato- rial objects such as the Andrews spt-function and the “consecutive parts” partition function. Finally, in analogy with Serre’s result that the weight 2 Eisenstein series is a p-adic modular form, we show that these forms possess canonical congruences with modular forms. 1. Introduction and statement of results In the theory of mock theta functions and its applications to combinatorics as developed by Andrews, Hickerson, Watson, and many others, various formulas for q-series representations have played an important role. For instance, the generating function R(ζ; q) for partitions organized by their ranks is given by: n n n2 n (3 +1) m n q 1 ζ ( 1) q 2 R(ζ; q) := N(m,n)ζ q = −1 = − − n , (ζq; q)n(ζ q; q)n (q; q)∞ 1 ζq n≥0 n≥0 n∈Z − mX∈Z X X where N(m,n) is the number of partitions of n of rank m and (a; q) := n−1(1 aqj) is the usual n j=0 − q-Pochhammer symbol.
    [Show full text]
  • UBC Math Distinguished Lecture Series Ken Ono (Emory University)
    PIMS- UBC Math Distinguished Lecture Series Ken Ono (Emory University) Nov 9, 2017 University of British Columbia Room: ESB 2012 Vancouver, BC 3:30pm Polya’s Program for the Riemann Hypothesis and Related Problems In 1927 Polya proved that the Riemann Hypothesis is equivalent to the hyperbolicity of Jensen polynomials for Riemann’s Xi-function. This hyperbolicity has only been proved for degrees d=1, 2, 3. We prove the hyperbolicity of 100% of the Jensen poly- nomials of every degree. We obtain a general theorem which models such polyno- mials by Hermite polynomials. This theorem also allows us to prove a conjecture of Chen, Jia, and Wang on the partition function. This is joint work with Michael Griffin, Larry Rolen, and Don Zagier. KEN ONO is the Asa Griggs Candler Professor of Mathematics at Emory University. He is considered to be an expert in the theory of integer partitions and modular forms. His contributions include several monographs and over 150 research and popular articles in number theory, combinatorics and algebra. He received his Ph.D. from UCLA and has received many awards for his research in number theory, including a Guggenheim Fellowship, a Packard Fellowship and a Sloan Fellowship. He was awarded a Presidential Early Career Award for Science and Engineering (PECASE) by Bill Clinton in 2000 and he was named the National Science Foundation’s Distinguished Teaching Scholar in 2005. He serves as Editor-in-Chief for several journals and is an editor of The Ramanujan Journal. Visit his web page at http://www.mathcs.emory.edu/~ono/ Light refreshments will be served in ESB 4133 from 3:00pm For more details please visit the PIMS Webpage at: https://www.pims.math.ca/scientific-event/171109-pumdcko www.pims.math.ca @pimsmath facebook.com/pimsmath .
    [Show full text]
  • Sixth Ramanujan Colloquium
    University of Florida, Mathematics Department SIXTH RAMANUJAN* COLLOQUIUM by Professor Ken Ono ** Emory University on Adding and Counting Date and Time: 4:05 - 4:55pm, Monday, March 12, 2012 Room: LIT 109 Refreshments: After Colloquium in the Atrium (LIT 339) Abstract: One easily sees that 4 = 3+1 = 2+2 = 2+1+1 = 1+1+1+1, and so we say there are five partitions of 4. What may come as a surprise is that this simple task leads to very subtle and difficult problems in mathematics. The nature of adding and counting has fascinated many of the world's leading mathematicians: Euler, Ramanujan, Hardy, Rademacher, Dyson, to name a few. And as is typical in number theory, some of the most fundamental (and simple to state) questions have remained open. In 2010, with the support of the American Institute for Mathematics and the National Science Foundation, the speaker assembled an international team of researchers to attack some of these problems. Come hear about their findings: new theories which solve some of the famous old questions. * ABOUT RAMANUJAN: Srinivasa Ramanujan (1887-1920), a self-taught genius from South India, dazzled mathematicians at Cambridge University by communicating bewildering formulae in a series of letters. G. H. Hardy invited Ramanujan to work with him at Cambridge, convinced that Ramanujan was a "Newton of the East"! Ramanujan's work has had a profound and wide impact within and outside mathematics. He is considered one of the greatest mathematicians in history. ** ABOUT THE SPEAKER: Ken Ono is one of the top number theorists in the world and a leading authority in the theory of partitions, modular forms, and the work of the Indian genius Srinivasa Ramanujan.
    [Show full text]
  • Mentoring Graduate Students: Some Personal Thoughts3
    Early Career the listeners. Like a toddler. He said he tested this when I am not quite sure how I successfully navigated the he was a PhD student. He wanted to know what “ho- stormy seas that defined my early career in mathematics. lomorphic vector bundle” means. So, he went to the What I do know is that I am now fifty-one years old, and math lounge and repeated those three words over and I have enjoyed a privileged career as a research mathe- over again. Now he is an expert in complex geometry. matician. I have had the pleasure of advising thirty PhD • Waking up to Email. Every mentor has a different style. students, with most assuming postdoctoral positions at So does every mentee. A while back, PhD students at top Group 1 institutions. Furthermore, I am proud of the Berkeley complained that they do not get enough at- fact that mathematics continues to play a central role in tention from their advisors. My students think that they their daily lives. receive too much attention from their advisor. A friend How did I make it? Good question. I do know that I once referred to my style as “the samurai method.” It needed the strong support of mentors who kept me afloat involves a barrage of emails, usually sent between 4am along the way. You might know their names: Paul Sally, and 5am. While this is fine for some, it does not work Basil Gordon, and Andrew Granville. I learned a lot from for others. these teachers, and I hope that I have been able to pass their wisdom on to my students of all ages.
    [Show full text]
  • Harmonic Maass Forms, Mock Modular Forms, and Quantum Modular Forms
    HARMONIC MAASS FORMS, MOCK MODULAR FORMS, AND QUANTUM MODULAR FORMS KEN ONO Abstract. This short course is an introduction to the theory of harmonic Maass forms, mock modular forms, and quantum modular forms. These objects have many applications: black holes, Donaldson invariants, partitions and q-series, modular forms, probability theory, singular moduli, Borcherds products, central values and derivatives of modular L-functions, generalized Gross-Zagier formulae, to name a few. Here we discuss the essential facts in the theory, and consider some applications in number theory. This mathematics has an unlikely beginning: the mystery of Ramanujan’s enigmatic “last letter” to Hardy written three months before his untimely death. Section 15 gives examples of projects which arise naturally from the mathematics described here. Modular forms are key objects in modern mathematics. Indeed, modular forms play cru- cial roles in algebraic number theory, algebraic topology, arithmetic geometry, combinatorics, number theory, representation theory, and mathematical physics. The recent history of the subject includes (to name a few) great successes on the Birch and Swinnerton-Dyer Con- jecture, Mirror Symmetry, Monstrous Moonshine, and the proof of Fermat’s Last Theorem. These celebrated works are dramatic examples of the evolution of mathematics. Here we tell a different story, the mathematics of harmonic Maass forms, mock modular forms, and quantum modular forms. This story has an unlikely beginning, the mysterious last letter of the Ramanujan. 1. Ramanujan The story begins with the legend of Ramanujan, the amateur Indian genius who discovered formulas and identities without any rigorous training1 in mathematics. He recorded his findings in mysterious notebooks without providing any indication of proofs.
    [Show full text]
  • Contemporary Mathematics 291
    CONTEMPORARY MATHEMATICS 291 q-Series with Applications to Combinatorics, Number Theory, and Physics A Conference on q-Series with Applications to Combinatorics, Number Theory, and Physics October 26-28, 2000 University of Illinois Bruce C. Berndt Ken Ono Editors http://dx.doi.org/10.1090/conm/291 Selected Titles in This Series 291 Bruce C. Berndt and Ken Ono, Editors, q-Series with applications to combinatorics, number theory, and physics, 2001 290 Michel L. Lapidus and Machiel van Frankenhuysen, Editors, Dynamical, spectral, and arithmetic zeta functions, 2001 289 Salvador Perez-Esteva and Carlos Villegas-Blas, Editors, Second summer school in analysis and mathematical physics: Topics in analysis: Harmonic, complex, nonlinear and quantization, 2001 288 Marisa Fernandez and Joseph A. Wolf, Editors, Global differential geometry: The mathematical legacy of Alfred Gray, 2001 287 Marlos A. G. Viana and Donald St. P. Richards, Editors, Algebraic methods in statistics and probability, 2001 286 Edward L. Green, Serkan Ho§ten, Reinhard C. Laubenbacher, and Victoria Ann Powers, Editors, Symbolic computation: Solving equations in algebra, geometry, and engineering, 2001 285 Joshua A. Leslie and Thierry P. Robart, Editors, The geometrical study of differential equations, 2001 284 Gaston M. N'Guerekata and Asamoah Nkwanta, Editors, Council for African American researchers in the mathematical sciences: Volume IV, 2001 283 Paul A. Milewski, Leslie M. Smith, Fabian Waleffe, and Esteban G. Tabak, Editors, Advances in wave interaction and turbulence,
    [Show full text]
  • Vitae Ken Ono Citizenship
    Vitae Ken Ono Citizenship: USA Date of Birth: March 20,1968 Place of Birth: Philadelphia, Pennsylvania Education: • Ph.D., Pure Mathematics, University of California at Los Angeles, March 1993 Thesis Title: Congruences on the Fourier coefficients of modular forms on Γ0(N) with number theoretic applications • M.A., Pure Mathematics, University of California at Los Angeles, March 1990 • B.A., Pure Mathematics, University of Chicago, June 1989 Research Interests: • Automorphic and Modular Forms • Algebraic Number Theory • Theory of Partitions with applications to Representation Theory • Elliptic curves • Combinatorics Publications: 1. Shimura sums related to quadratic imaginary fields Proceedings of the Japan Academy of Sciences, 70 (A), No. 5, 1994, pages 146-151. 2. Congruences on the Fourier coefficeints of modular forms on Γ0(N), Contemporary Mathematics 166, 1994, pages 93-105., The Rademacher Legacy to Mathe- matics. 3. On the positivity of the number of partitions that are t-cores, Acta Arithmetica 66, No. 3, 1994, pages 221-228. 4. Superlacunary cusp forms, (Co-author: Sinai Robins), Proceedings of the American Mathematical Society 123, No. 4, 1995, pages 1021-1029. 5. Parity of the partition function, 1 2 Electronic Research Annoucements of the American Mathematical Society, 1, No. 1, 1995, pages 35-42 6. On the representation of integers as sums of triangular numbers Aequationes Mathematica (Co-authors: Sinai Robins and Patrick Wahl) 50, 1995, pages 73-94. 7. A note on the number of t-core partitions The Rocky Mountain Journal of Mathematics 25, 3, 1995, pages 1165-1169. 8. A note on the Shimura correspondence and the Ramanujan τ(n)-function, Utilitas Mathematica 47, 1995, pages 153-160.
    [Show full text]
  • Arxiv:1911.05264V3 [Math.NT]
    A NOTE ON THE HIGHER ORDER TURAN´ INEQUALITIES FOR k-REGULAR PARTITIONS WILLIAM CRIAG AND ANNA PUN Abstract. Nicolas [8] and DeSalvo and Pak [3] proved that the partition function p(n) is log concave for n 25. Chen, Jia and Wang [2] proved that p(n) satisfies the third order ≥ Tur´an inequality, and that the associated degree 3 Jensen polynomials are hyperbolic for n 94. Recently, Griffin, Ono, Rolen and Zagier [5] proved more generally that for all d, ≥ the degree d Jensen polynomials associated to p(n) are hyperbolic for sufficiently large n. In this paper, we prove that the same result holds for the k-regular partition function pk(n) for k 2. In particular, for any positive integers d and k, the order d Tur´an ≥ inequalities hold for pk(n) for sufficiently large n. The case when d = k = 2 proves a conjecture by Neil Sloane that p2(n) is log concave. 1. Introduction and Statement of results The Tur´an inequality (or sometimes called Newton inequality) arises in the study of real entire functions in Laguerre-P´olya class, which is closely related to the study of the Riemann hypothesis [4, 12]. It is well known that the Riemann hypothesis is true if and only if the Riemann Xi function is in the Laguerre-P´olya class, where the Riemann Xi function is the entire order 1 function defined by 1 2 1 iz 1 iz 1 1 Ξ(z) := z π 2 − 4 Γ + ζ iz + . 2 − − 4 − 2 4 − 2 A necessary condition for the Riemann Xi function to be in the Laguerre-P´olya class is that the Maclaurin coefficients of the Xi function satisfy both the Tur´an and higher order Tur´an inequalities [4, 11].
    [Show full text]
  • Arxiv:2007.09803V2 [Math.NT] 21 Dec 2020
    ON L-FUNCTIONS OF MODULAR ELLIPTIC CURVES AND CERTAIN K3 SURFACES MALIK AMIR, LETONG HONG Abstract. Inspired by Lehmer’s conjecture on the nonvanishing of the Ramanujan τ-function, one may ask whether an odd integer α can be equal to τ(n) or any coefficient of a newform f(z). Balakrishnan, Craig, Ono, and Tsai used the theory of Lucas sequences and Diophantine analysis to characterize non-admissible values of newforms of even weight k 4. We use these methods for weight 2 and 3 newforms and apply our results to L-functions of≥ modular elliptic curves and certain K3 surfaces with Picard number 19. In particular, for the complete list of n ≥ weight 3 newforms fλ(z)= aλ(n)q that are η-products, and for Nλ the conductor of some elliptic curve Eλ, we show thatP if aλ(n) < 100 is odd with n> 1 and (n, 2Nλ) = 1, then | | aλ(n) 5, 9, 11, 25, 41, 43, 45, 47, 49, 53, 55, 59, 61, ∈ {−67, ±69, 71, ±73, 75± , 79− , 81± , 83, ±89, 93± 97,±99 . ± − ± ± ± ± ± ± ± ± } Assuming the Generalized Riemann Hypothesis, we can rule out a few more possibilities leaving aλ(n) 5, 9, 11, 25, 45, 49, 55, 69, 75, 81, 93, 99 . ∈ {− ± − − ± ± } 1. Introduction and Statement of the Results In an article entitled “On certain arithmetical functions”, Ramanujan introduced the τ- function in 1916, known as the Fourier coefficients of the weight 12 modular form ∞ ∞ ∆(z)= q (1 qn)24 := τ(n)qn = q 24q2 + 252q3 1472q4 + 4830q5 ... − − − − nY=1 Xn=1 where throughout q := e2πiz.
    [Show full text]
  • 2021 Mary P. Dolciani Prize
    FROM THE AMS SECRETARY 2021 Mary P. Dolciani Prize Amanda L. Folsom was awarded the 2021 Mary P. Dolciani Prize at the Annual Meeting of the AMS, held virtually January 6–9, 2021. Citation Folsom is an active collaborator with undergraduates, The Mary P. Dolciani Prize successfully bringing students into her research field, and for Excellence in Research is has coauthored five papers with thirteen undergraduate awarded to Amanda L. Folsom, coauthors. Folsom is also a dedicated expositor, working professor of mathematics at to explain her research field as well as aspects of the math- Amherst College, for her out- ematical profession to a more general audience through standing record of research in articles in journals such as the Notices of the American Math- analytic and algebraic number ematical Society and Philosophical Transactions of the Royal theory, with applications to Society A. She has twice been a research advisor and coedited combinatorics and Lie theory, a volume for the Women in Numbers workshops at Banff. She currently serves as Department Chair of Mathematics for her work with undergradu- and Statistics at Amherst. ate students, and for her service Amanda L. Folsom to the profession, including her Biographical Sketch work to promote the success of Amanda L. Folsom received her PhD in mathematics in women in mathematics. 2006 from the University of California at Los Angeles under Folsom’s research centers around the theory of mock the supervision of William Duke. She held postdoctoral modular forms and their relatives. Classical modular forms positions at the Max Planck Institute for Mathematics and are complex functions on the upper half plane that have an the University of Wisconsin-Madison between 2007 and invariance property under the action of the modular group; 2010 and joined the mathematics faculty at Yale University it was a profound study of their relationship to number in 2010.
    [Show full text]
  • Lecture Topics
    Ken Ono, Ph.D. Thomas Jefferson Professor of Mathematics, University of Virginia Vice President, American Mathematical Society Chair of Mathematics, American Association for the Advancement of Science Ken Ono is a research mathematician who has a strong interest in issues related to the college experience. He is known for his research in mathematics, and his work in television and film. He was the Associate Producer of the Hollywood film “The Man Who Knew Infinity” about the self-trained Indian mathematical genius Srinivasa Ramanujan, and he starred in an episode of Star Talk hosted by Neil deGrasse Tyson. Public Lecture Option 1: Title: Why does Ramanujan, “The Man Who Knew Infinity,” matter? “Dear Sir…I beg to introduce myself to you as a clerk… of the Port Trust Office at Madras… I have been employing the spare time at my disposal to work at Mathematics…I have not trodden through the conventional regular course…but I am striking out a new path...” What followed in the letter were astonishing mathematical formulas, so otherworldly the letter's recipient could not help but believe they were true. Written in 1913, it has taken mankind one century to understand their meaning; along the way, the pursuit has led to solutions of ancient mathematical mysteries, breakthroughs in modern physics, and ideas which help power the internet. A major motion picture based on the life of the letter’s author, THE MAN WHO KNEW INFINITY, starring Dev Patel and Jeremy Irons, was released in 2016 (Ken Ono is an Associate Producer of the film). The mysterious “clerk of the Port Trust Office of Madras” has been in the air a lot recently.
    [Show full text]