Notices of the AMS 595 Mathematics People NEWS
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Archived News
Archived News 2007-2008 News articles from 2007-2008 Table of Contents Alumnae Cited for Accomplishments and Sage Salzer ’96................................................. 17 Service................................................................. 5 Porochista Khakpour ’00.................................. 18 Laura Hercher, Human Genetics Faculty............ 7 Marylou Berg ’92 ............................................. 18 Lorayne Carbon, Director of the Early Childhood Meema Spadola ’92.......................................... 18 Center.................................................................. 7 Warren Green ................................................... 18 Hunter Kaczorowski ’07..................................... 7 Debra Winger ................................................... 19 Sara Rudner, Director of the Graduate Program in Dance .............................................................. 7 Melvin Bukiet, Writing Faculty ....................... 19 Rahm Emanuel ’81 ............................................. 8 Anita Brown, Music Faculty ............................ 19 Mikal Shapiro...................................................... 8 Sara Rudner, Dance Faculty ............................. 19 Joan Gill Blank ’49 ............................................. 8 Victoria Hofmo ’81 .......................................... 20 Wayne Sanders, Voice Faculty........................... 8 Students Arrive on Campus.............................. 21 Desi Shelton-Seck MFA ’04............................... 9 Norman -
CMI Summer Schools
CMI Summer Schools 2007 Homogeneous flows, moduli spaces, and arithmetic De Giorgi Center, Pisa 2006 Arithmetic Geometry The Clay Mathematics Institute has Mathematisches Institut, conducted a program of research summer schools Georg-August-Universität, Göttingen since 2000. Designed for graduate students and PhDs within five years of their degree, the aim of 2005 Ricci Flow, 3-manifolds, and Geometry the summer schools is to furnish a new generation MSRI, Berkeley of mathematicians with the knowledge and tools needed to work successfully in an active research CMI summer schools 2004 area. Three introductory courses, each three weeks Floer Homology, Gauge Theory, and in duration, make up the core of a typical summer Low-dimensional Topology school. These are followed by one week of more Rényi Institute, Budapest advanced minicourses and individual talks. Size is limited to roughly 100 participants in order to 2003 Harmonic Analysis, Trace Formula, promote interaction and contact. Venues change and Shimura Varieties from year to year, and have ranged from Cambridge, Fields Institute, Toronto Massachusetts to Pisa, Italy. The lectures from each school are published in the CMI–AMS proceedings 2002 Geometry and String Theory series, usually within two years’ time. Newton Institute, Cambridge UK Summer Schools 2001 www.claymath.org/programs/summer_school Minimal surfaces MSRI, Berkeley Summer School Proceedings www.claymath.org/publications 2000 Mirror Symmetry Pine Manor College, Boston 2006 Arithmetic Geometry Summer School in Göttingen techniques are drawn from the theory of elliptic The 2006 summer school program will introduce curves, including modular curves and their para- participants to modern techniques and outstanding metrizations, Heegner points, and heights. -
Of the American Mathematical Society August 2017 Volume 64, Number 7
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 LEARNING ® MEDIA MATHSCINET ONLINE RESOURCES MATHEMATICS WASHINGTON, DC CONFERENCES MATHEMATICAL INCLUSION REVIEWS STUDENTS MENTORING PROFESSION GRAD PUBLISHING STUDENTS OUTREACH TOOLS EMPLOYMENT MATH VISUALIZATIONS EXCLUSION TEACHING CAREERS MATH STEM ART REVIEWS MEETINGS FUNDING WORKSHOPS BOOKS EDUCATION MATH ADVOCACY NETWORKING DIVERSITY blogs.ams.org Notices of the American Mathematical Society August 2017 FEATURED 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 -
Hamilton College Catalogue 2018-19
HAMILTON COLLEGE CATALOGUE 2018-19 1 HAMILTON COLLEGE ACADEMIC CALENDAR 2018-2019 Aug. 14-22 Tuesday-Wednesday New Student Orientation 21 Tuesday Residence halls open for upperclass students, 9 a.m. 23 Thursday Fall semester classes begin, 8 a.m. 31 Friday Last day to add a course, 2 p.m. Sept. 14 Friday Last day to exercise credit/no credit option, 3 p.m. Oct. 5 Friday Last day to declare leave of absence for Spring semester 2019 10 Wednesday Fall recess begins, 4 p.m. Academic warnings due 15 Monday Classes resume, 8 a.m. 17 Wednesday Last day to drop a course without penalty, 3 p.m. 25-28 Thursday-Sunday Fallcoming & Family Weekend Nov. 1-16 Registration period for Spring 2019 courses (tentative) 16 Friday Thanksgiving recess begins, 4 p.m. 26 Monday Classes resume, 8 a.m. Dec. 7 Friday Fall semester classes end 8-10 Saturday-Monday Reading period 10-14 Monday-Friday Final examinations 15 Saturday Residence halls close, noon Jan. 18-21 Friday-Monday New Student Orientation 20 Sunday Residence halls open, 9 a.m. 21 Monday Martin Luther King, Jr. Day Holiday 22 Tuesday Spring semester classes begin, 8 a.m. 30 Wednesday Last day to add a course, 2 p.m. Last day for seniors to declare a minor Feb. 8 Friday Last day to exercise credit/no credit option, 3 p.m. 11-15 Monday-Friday Sophomores declare concentration March 1 Friday Last day to declare leave of absence for Fall semester 2019 8 Friday Academic warnings due 15 Friday Spring recess begins, 4 p.m. -
Arxiv:2007.03981V1 [Math.FA] 8 Jul 2020
FOURIER UNIQUENESS IN R4 ANDREW BAKAN, HAAKAN HEDENMALM, ALFONSO MONTES-RODRÍGUEZ, DANYLO RADCHENKO, AND MARYNA VIAZOVSKA Abstract. We show an interrelation between the uniqueness aspect of the recent Fourier interpolation formula of Radchenko and Viazovska and the Heisenberg uniqueness for the Klein-Gordon equation and the lattice- cross of critical density, studied by Hedenmalm and Montes-Rodríguez. This has been known since 2017. 1. Introduction 1.1. Basic notation in the plane. We write Z for the integers, Z+ for the positive integers, R for the real line, and C for the complex plane. We write H for the upper half-plane {τ ∈ C : Im τ> 0}. Moreover, we d let h·, ·id denote the Euclidean inner product of R . 1.2. The Fourier transform of radial functions. For a function f ∈ L1(Rd), we consider its Fourier transform (with x = (x1,..., xd) and y = (y1,..., yd)) −i2πhx,yid fˆ(y):= e f (x)dvold(x), dvold(x):= dx1 ··· dxd. ZRd If f is radial, then fˆis radial too. A particular example of a radial function is the Gaussian iπτ|x|2 (1.2.1) Gτ(x):= e , which decays nicely provided that Im τ> 0, that is, when τ ∈ H. The Fourier transform of a Gaussian is another Gaussian, in this case −d/2 −d/2 τ −iπ|y|2/τ τ (1.2.2) Gˆ τ(y):= e = G−1/τ(y), i i Here, it is important that τ 7→ −1/τ preserves hyperbolic space H. In the sense of distribution theory, the above relationship extends to boundary points τ ∈ R as well. -
Twenty Female Mathematicians Hollis Williams
Twenty Female Mathematicians Hollis Williams Acknowledgements The author would like to thank Alba Carballo González for support and encouragement. 1 Table of Contents Sofia Kovalevskaya ................................................................................................................................. 4 Emmy Noether ..................................................................................................................................... 16 Mary Cartwright ................................................................................................................................... 26 Julia Robinson ....................................................................................................................................... 36 Olga Ladyzhenskaya ............................................................................................................................. 46 Yvonne Choquet-Bruhat ....................................................................................................................... 56 Olga Oleinik .......................................................................................................................................... 67 Charlotte Fischer .................................................................................................................................. 77 Karen Uhlenbeck .................................................................................................................................. 87 Krystyna Kuperberg ............................................................................................................................. -
Pomona College Magazine Fall/Winter 2020: the New (Ab
INSIDE:THE NEW COLLEGE MAGAZINE (AB)NORMAL • The Economy • Childcare • City Life • Dating • Education • Movies • Elections Fall-Winter 2020 • Etiquette • Food • Housing •Religion • Sports • Tourism • Transportation • Work & more Nobel Laureate Jennifer Doudna ’85 HOMEPAGE Together in Cyberspace With the College closed for the fall semester and all instruction temporarily online, Pomona faculty have relied on a range of technologies to teach their classes and build community among their students. At top left, Chemistry Professor Jane Liu conducts a Zoom class in Biochemistry from her office in Seaver North. At bottom left, Theatre Professor Giovanni Molina Ortega accompanies students in his Musical Theatre class from a piano in Seaver Theatre. At far right, German Professor Hans Rindesbacher puts a group of beginning German students through their paces from his office in Mason Hall. —Photos by Jeff Hing STRAY THOUGHTS COLLEGE MAGAZINE Pomona Jennifer Doudna ’85 FALL/WINTER 2020 • VOLUME 56, NO. 3 2020 Nobel Prize in Chemistry The New Abnormal EDITOR/DESIGNER Mark Wood ([email protected]) e’re shaped by the crises of our times—especially those that happen when ASSISTANT EDITOR The Prize Wwe’re young. Looking back on my parents’ lives with the relative wisdom of Robyn Norwood ([email protected]) Jennifer Doudna ’85 shares the 2020 age, I can see the currents that carried them, turning them into the people I knew. Nobel Prize in Chemistry for her work with They were both children of the Great Depression, and the marks of that experi- BOOK EDITOR the CRISPR-Cas9 molecular scissors. Sneha Abraham ([email protected]) ence were stamped into their psyches in ways that seem obvious to me now. -
Harvard University Department of Mathematics 2020 - 2021 Fall Directory
Harvard University Department of Mathematics 2020 - 2021 Fall Directory Tel: (617) 495-2171 Fax: (617) 495-5132 www.math.harvard.edu DEPARTMENT OF MATHEMATICS DIRECTORY - FALL 2020 ASL: Associate Senior Lecturer PD: Postdoctoral Fellow BP: Benjamin Peirce Fellow S: Staff E: Emeritus SL: Senior Lecturer F: Faculty SP: Senior Preceptor G: Graduate Student V: Visitor L: Lecturer VP: Visiting Professor P: Preceptor GROUP EMAIL ADDRESSES Affiliates Lecturers Emeriti Mainoffice Everyone (Everyone at CMSA) Preceptors Everyone (Everyone at Math Dept) Snr_Fac (Senior Faculty) Grad (Grad students) Staff Jnr_Fac (Junior Faculty) Visitors (PostDocs, Research Associates and Fellows) Department email addresses followed by: @math.harvard.edu; CMSA email addresses followed by: @cmsa.fas.harvard.edu NAME EMAIL OFFICE PHONE # ADHIKARI, Arka (G) adhikari 321b ALAEE, Aghil (V - CMSA) aghil.alaee ARMSTRONG, Maureen (S) maureen 332 5-1980 AUROUX, Denis (F) auroux 539 5-5487 BALIBANU, Ana (BP) anab 236 6-4492 BALL, Andrew (S) ball 242h 6-1986 BAMBERG, Paul (SL) bamberg 322 5-9560 BARKLEY, Grant (G) gbarkley 333e BEJLERI, Dori (BP) bejleri 525 5-2334 BEN-ELIEZER, Omri (PD - CMSA) omribene BETTS, Alex (PD) 226h 5-2124 BOGAEVSKY, Tatyana (S - CMSA) bogaevsky 20 Garden 105 6-1778 BONGERS, Tyler (L) bongers 209.3 5-1365 BORETSKY, Jonathan (G) jboretsky 321c DEPARTMENT OF MATHEMATICS DIRECTORY - FALL 2020 BRALEY, Emily (P) braley 225 6-9122 BRENNECKE, Christian (BP) brennecke 239 5-8797 BRENTANA, Pam (S) pbrentan 325 5-5334 CAIN, Wes (SL) jcain2 515 5-1790 CASS, -
Maryna Viazovska (HU Berlin)
s well as BMS Friday Colloquium Friday 4 November 2016 at 14:15 Tea & Cookies starting at 13:00 BMS Loft, Urania, An der Urania 17, 10787 Berlin Maryna Viazovska (HU Berlin) Solving packing problems by linear programming How much of Euclidean space can be filled with pairwise non-over- lapping congruent copies of a given convex body K? We call this the body packing problem. Problems of this kind are solved comple- tely only in rare cases. One powerful method to attack these geome- tric questions is linear programming. This approach was developed by Philippe Delsarte in the early seventies. Based on inequalities for © Maryna Viazovska the distance distribution of point configurations, this method was successfully applied to the “kissing number problem“ in dimensions 8 and 24. The original Delsarte method was applied to the optimization on compact spaces. In 2003, Cohn and Elkies generalized this method to Euclidean space. In particular, they improved existent upper bounds for the maximum density of sphere packings in dimensions 4,...,36. Recently, Viazovska and her coauthors proved that linear pro- gramming provides tight bounds for sphere packing in dimensions 8 and 24. In her talk, Viazovska will explain the linear programming method and demonstrate how it works on various examples. Born in the Ukraine, Maryna Viazovska completed her PhD at MPIM in Bonn in 2013 under the supervision of Don Zagier. Her research interests include number theory and discrete geometry. In October 2013, she became a visiting researcher at the IHÉS in France. In August 2014, she took up the two-year position of BMS Dirichlet Postdoctoral Fellow based at HU Berlin, during which time she solved the hyper- sphere packing problem for dimension 8. -
Convergence of Complete Ricci-Flat Manifolds Jiewon Park
Convergence of Complete Ricci-flat Manifolds by Jiewon Park Submitted to the Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Mathematics at the MASSACHUSETTS INSTITUTE OF TECHNOLOGY May 2020 © Massachusetts Institute of Technology 2020. All rights reserved. Author . Department of Mathematics April 17, 2020 Certified by. Tobias Holck Colding Cecil and Ida Green Distinguished Professor Thesis Supervisor Accepted by . Wei Zhang Chairman, Department Committee on Graduate Theses 2 Convergence of Complete Ricci-flat Manifolds by Jiewon Park Submitted to the Department of Mathematics on April 17, 2020, in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Mathematics Abstract This thesis is focused on the convergence at infinity of complete Ricci flat manifolds. In the first part of this thesis, we will give a natural way to identify between two scales, potentially arbitrarily far apart, in the case when a tangent cone at infinity has smooth cross section. The identification map is given as the gradient flow of a solution to an elliptic equation. We use an estimate of Colding-Minicozzi of a functional that measures the distance to the tangent cone. In the second part of this thesis, we prove a matrix Harnack inequality for the Laplace equation on manifolds with suitable curvature and volume growth assumptions, which is a pointwise estimate for the integrand of the aforementioned functional. This result provides an elliptic analogue of matrix Harnack inequalities for the heat equation or geometric flows. Thesis Supervisor: Tobias Holck Colding Title: Cecil and Ida Green Distinguished Professor 3 4 Acknowledgments First and foremost I would like to thank my advisor Tobias Colding for his continuous guidance and encouragement, and for suggesting problems to work on. -
Shaw' Preemia
Shaw’ preemia 2002. a rajas Hongkongi ajakirjandusmagnaat ja tuntud filantroop sir Run Run Shaw (s 1907) omanimelise fondi, et anda v¨alja iga-aastast preemiat – Shaw’ preemiat. Preemiaga autasustatakse ”isikut, s˜oltumata rassist, rahvusest ja religioossest taustast, kes on saavutanud olulise l¨abimurde akadeemilises ja teaduslikus uuri- mist¨o¨os v˜oi rakendustes ning kelle t¨o¨o tulemuseks on positiivne ja sugav¨ m˜oju inimkonnale.” Preemiat antakse v¨alja kolmel alal – astronoomias, loodusteadustes ja meditsiinis ning matemaatikas. Preemia suurus 2009. a oli uks¨ miljon USA dollarit. Preemiaga kaas- neb ka medal (vt joonist). Esimesed preemiad omistati 2004. a. Ajakirjanikud on ristinud Shaw’ preemia Ida Nobeli preemiaks (the Nobel of the East). Shaw’ preemiaid aastail 2009–2011 matemaatika alal m¨a¨arab komisjon, kuhu kuuluvad: esimees: Sir Michael Atiyah (Edinburghi Ulikool,¨ UK) liikmed: David Kazhdan (Jeruusalemma Heebrea Ulikool,¨ Iisrael) Peter C. Sarnak (Princetoni Ulikool,¨ USA) Yum-Tong Siu (Harvardi Ulikool,¨ USA) Margaret H. Wright (New Yorgi Ulikool,¨ USA) 2009. a Shaw’ preemia matemaatika alal kuulutati v¨alja 16. juunil Hongkongis ja see anti v˜ordses osas kahele matemaatikule: 293 Eesti Matemaatika Selts Aastaraamat 2009 Autori~oigusEMS, 2010 294 Shaw’ preemia Simon K. Donaldsonile ja Clifford H. Taubesile s¨arava panuse eest kolme- ja neljam˜o˜otmeliste muutkondade geomeetria arengusse. Premeerimistseremoonia toimus 7. oktoobril 2009. Sellel osales ka sir Run Run Shaw. Siin pildil on sir Run Run Shaw 100-aastane. Simon K. Donaldson sundis¨ 1957. a Cambridge’is (UK) ja on Londonis Imperial College’i Puhta Matemaatika Instituudi direktor ja professor. Bakalaureusekraadi sai ta 1979. a Pembroke’i Kolled- ˇzistCambridge’s ja doktorikraadi 1983. -
3-Manifold Groups
3-Manifold Groups Matthias Aschenbrenner Stefan Friedl Henry Wilton University of California, Los Angeles, California, USA E-mail address: [email protected] Fakultat¨ fur¨ Mathematik, Universitat¨ Regensburg, Germany E-mail address: [email protected] Department of Pure Mathematics and Mathematical Statistics, Cam- bridge University, United Kingdom E-mail address: [email protected] Abstract. We summarize properties of 3-manifold groups, with a particular focus on the consequences of the recent results of Ian Agol, Jeremy Kahn, Vladimir Markovic and Dani Wise. Contents Introduction 1 Chapter 1. Decomposition Theorems 7 1.1. Topological and smooth 3-manifolds 7 1.2. The Prime Decomposition Theorem 8 1.3. The Loop Theorem and the Sphere Theorem 9 1.4. Preliminary observations about 3-manifold groups 10 1.5. Seifert fibered manifolds 11 1.6. The JSJ-Decomposition Theorem 14 1.7. The Geometrization Theorem 16 1.8. Geometric 3-manifolds 20 1.9. The Geometric Decomposition Theorem 21 1.10. The Geometrization Theorem for fibered 3-manifolds 24 1.11. 3-manifolds with (virtually) solvable fundamental group 26 Chapter 2. The Classification of 3-Manifolds by their Fundamental Groups 29 2.1. Closed 3-manifolds and fundamental groups 29 2.2. Peripheral structures and 3-manifolds with boundary 31 2.3. Submanifolds and subgroups 32 2.4. Properties of 3-manifolds and their fundamental groups 32 2.5. Centralizers 35 Chapter 3. 3-manifold groups after Geometrization 41 3.1. Definitions and conventions 42 3.2. Justifications 45 3.3. Additional results and implications 59 Chapter 4. The Work of Agol, Kahn{Markovic, and Wise 63 4.1.