Maryna Viazovska (HU Berlin)

Total Page：16

File Type：pdf, Size：1020Kb

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 programming 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. She is now a researcher at www.math-berlin.de HU Berlin..

Copy Link

Recommended publications

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
[Show full text]
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.
[Show full text]
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 .............................................................................................................................
[Show full text]
Notices of the AMS 595 Mathematics People NEWS
NEWS Mathematics People contrast electrical impedance Takeda Awarded 2017–2018 tomography, as well as model Centennial Fellowship reduction techniques for para- bolic and hyperbolic partial The AMS has awarded its Cen- differential equations.” tennial Fellowship for 2017– Borcea received her PhD 2018 to Shuichiro Takeda. from Stanford University and Takeda’s research focuses on has since spent time at the Cal- automorphic forms and rep- ifornia Institute of Technology, resentations of p-adic groups, Rice University, the Mathemati- especially from the point of Liliana Borcea cal Sciences Research Institute, view of the Langlands program. Stanford University, and the He will use the Centennial Fel- École Normale Supérieure, Paris. Currently Peter Field lowship to visit the National Collegiate Professor of Mathematics at Michigan, she is Shuichiro Takeda University of Singapore and deeply involved in service to the applied and computa- work with Wee Teck Gan dur- tional mathematics community, in particular on editorial ing the academic year 2017–2018. boards and as an elected member of the SIAM Council. Takeda obtained a bachelor's degree in mechanical The Sonia Kovalevsky Lectureship honors significant engineering from Tokyo University of Science, master's de- contributions by women to applied or computational grees in philosophy and mathematics from San Francisco mathematics. State University, and a PhD in 2006 from the University —From an AWM announcement of Pennsylvania. After postdoctoral positions at the Uni- versity of California at San Diego, Ben-Gurion University in Israel, and Purdue University, since 2011 he has been Pardon Receives Waterman assistant and now associate professor at the University of Missouri at Columbia.
[Show full text]
Mathematics People
NEWS Mathematics People “In 1972, Rainer Weiss wrote down in an MIT report his Weiss, Barish, and ideas for building a laser interferometer that could detect Thorne Awarded gravitational waves. He had thought this through carefully and described in detail the physics and design of such an Nobel Prize in Physics instrument. This is typically called the ‘birth of LIGO.’ Rai Weiss’s vision, his incredible insights into the science and The Royal Swedish Academy of Sci- challenges of building such an instrument were absolutely ences has awarded the 2017 Nobel crucial to make out of his original idea the successful Prize in Physics to Rainer Weiss, experiment that LIGO has become. Barry C. Barish, and Kip S. Thorne, “Kip Thorne has done a wealth of theoretical work in all of the LIGO/Virgo Collaboration, general relativity and astrophysics, in particular connected for their “decisive contributions to with gravitational waves. In 1975, a meeting between the LIGO detector and the observa- Rainer Weiss and Kip Thorne from Caltech marked the tion of gravitational waves.” Weiss beginning of the complicated endeavors to build a gravi- receives one-half of the prize; Barish tational wave detector. Rai Weiss’s incredible insights into and Thorne share one-half. the science and challenges of building such an instrument Rainer Weiss combined with Kip Thorne’s theoretical expertise with According to the prize citation, gravitational waves, as well as his broad connectedness “LIGO, the Laser Interferometer with several areas of physics and funding agencies, set Gravitational-Wave Observatory, is the path toward a larger collaboration.
[Show full text]
Joint Journals Catalogue EMS / MSP 2020
Joint Journals Cataloguemsp EMS / MSP 1 2020 Super package deal inside! msp 1 EEuropean Mathematical Society Mathematical Science Publishers msp 1 The EMS Publishing House is a not-for-profit Mathematical Sciences Publishers is a California organization dedicated to the publication of high- nonprofit corporation based in Berkeley. MSP quality peer-reviewed journals and high-quality honors the best traditions of quality publishing books, on all academic levels and in all fields of while moving with the cutting edge of information pure and applied mathematics. The proceeds from technology. We publish more than 16,000 pages the sale of our publications will be used to keep per year, produce and distribute scientific and the Publishing House on a sound financial footing; research literature of the highest caliber at the any excess funds will be spent in compliance lowest sustainable prices, and provide the top with the purposes of the European Mathematical quality of mathematically literate copyediting and Society. The prices of our products will be set as typesetting in the industry. low as is practicable in the light of our mission and We believe scientific publishing should be an market conditions. industry that helps rather than hinders scholarly activity. High-quality research demands high- Contact addresses quality communication – widely, rapidly and easily European Mathematical Society Publishing House accessible to all – and MSP works to facilitate it. Technische Universität Berlin, Mathematikgebäude Straße des 17. Juni 136, 10623 Berlin, Germany Contact addresses Email: [email protected] Mathematical Sciences Publishers Web: www.ems-ph.org 798 Evans Hall #3840 c/o University of California Managing Director: Berkeley, CA 94720-3840, USA Dr.
[Show full text]
January 2019 Volume 66 · Issue 01
ISSN 0002-9920 (print) ISSN 1088-9477 (online) Notices ofof the American MathematicalMathematical Society January 2019 Volume 66, Number 1 The cover art is from the JMM Sampler, page 84. AT THE AMS BOOTH, JMM 2019 ISSN 0002-9920 (print) ISSN 1088-9477 (online) Notices of the American Mathematical Society January 2019 Volume 66, Number 1 © Pomona College © Pomona Talk to Erica about the AMS membership magazine, pick up a free Notices travel mug*, and enjoy a piece of cake. facebook.com/amermathsoc @amermathsoc A WORD FROM... Erica Flapan, Notices Editor in Chief I would like to introduce myself as the new Editor in Chief of the Notices and share my plans with readers. The Notices is an interesting and engaging magazine that is read by mathematicians all over the world. As members of the AMS, we should all be proud to have the Notices as our magazine of record. Personally, I have enjoyed reading the Notices for over 30 years, and I appreciate the opportunity that the AMS has given me to shape the magazine for the next three years. I hope that under my leadership even more people will look forward to reading it each month as much as I do. Above all, I would like the focus of the Notices to be on expository articles about pure and applied mathematics broadly defined. I would like the authors, topics, and writing styles of these articles to be diverse in every sense except for their desire to explain the mathematics that they love in a clear and engaging way.
[Show full text]
Prizes and Awards
SAN DIEGO • JAN 10–13, 2018 January 2018 SAN DIEGO • JAN 10–13, 2018 Prizes and Awards 4:25 p.m., Thursday, January 11, 2018 66 PAGES | SPINE: 1/8" PROGRAM OPENING REMARKS Deanna Haunsperger, Mathematical Association of America GEORGE DAVID BIRKHOFF PRIZE IN APPLIED MATHEMATICS American Mathematical Society Society for Industrial and Applied Mathematics BERTRAND RUSSELL PRIZE OF THE AMS American Mathematical Society ULF GRENANDER PRIZE IN STOCHASTIC THEORY AND MODELING American Mathematical Society CHEVALLEY PRIZE IN LIE THEORY American Mathematical Society ALBERT LEON WHITEMAN MEMORIAL PRIZE American Mathematical Society FRANK NELSON COLE PRIZE IN ALGEBRA American Mathematical Society LEVI L. CONANT PRIZE American Mathematical Society AWARD FOR DISTINGUISHED PUBLIC SERVICE American Mathematical Society LEROY P. STEELE PRIZE FOR SEMINAL CONTRIBUTION TO RESEARCH American Mathematical Society LEROY P. STEELE PRIZE FOR MATHEMATICAL EXPOSITION American Mathematical Society LEROY P. STEELE PRIZE FOR LIFETIME ACHIEVEMENT American Mathematical Society SADOSKY RESEARCH PRIZE IN ANALYSIS Association for Women in Mathematics LOUISE HAY AWARD FOR CONTRIBUTION TO MATHEMATICS EDUCATION Association for Women in Mathematics M. GWENETH HUMPHREYS AWARD FOR MENTORSHIP OF UNDERGRADUATE WOMEN IN MATHEMATICS Association for Women in Mathematics MICROSOFT RESEARCH PRIZE IN ALGEBRA AND NUMBER THEORY Association for Women in Mathematics COMMUNICATIONS AWARD Joint Policy Board for Mathematics FRANK AND BRENNIE MORGAN PRIZE FOR OUTSTANDING RESEARCH IN MATHEMATICS BY AN UNDERGRADUATE STUDENT American Mathematical Society Mathematical Association of America Society for Industrial and Applied Mathematics BECKENBACH BOOK PRIZE Mathematical Association of America CHAUVENET PRIZE Mathematical Association of America EULER BOOK PRIZE Mathematical Association of America THE DEBORAH AND FRANKLIN TEPPER HAIMO AWARDS FOR DISTINGUISHED COLLEGE OR UNIVERSITY TEACHING OF MATHEMATICS Mathematical Association of America YUEH-GIN GUNG AND DR.CHARLES Y.
[Show full text]
Volumen IX, Número 1, Abril 2019
Revista Pensamiento Matemático ISSN - 2174 - 0410 Volumen IX, Número 1, Abril 2019 Grupo de Innovación Educativa Pensamiento Matemático y Grupo de Investigación Matemática Aplicada a la Ingeniería Civil Producción / GIE Pensamiento Matemático y GI MAIC Ilustración de portada / Rafael Araujo (h�ps://www.rafael-araujo.com/) Diseño de portada y Maquetación / José Manuel Sánchez Muñoz Universidad Politécnica de Madrid Se permite la reproducción parcial o total de los contenidos de la publicación para fines educativos, dándose el debido crédito a sus autores y a la propia revista. Se prohibe, sin embargo, la reproducción parcial o total de este texto por cualquier medio o formato incluyendo el electrónico, con fines lucrativos. Revista Pensamiento Matemático Grupo de Innovación Educativa Pensamiento Matemático y Grupo de Investigación Matemática Aplicada a la Ingeniería Civil Universidad Politécnica de Madrid Volumen IX, Número 1, ISSN 2174-0410 Coordinación Comité Editorial Mariló López González Sagrario Lantarón Sánchez Javier Rodrigo Hitos José Manuel Sánchez Muñoz Comité Científico Mariló López González, Adela Salvador Alcaide, Sagrario Lantarón Sánchez, Javier Rodrigo Hitos, José Manuel Sánchez Muñoz, Fernando Chamizo Lorente, José Juan de Sanjosé Blasco, Arthur Pewsey, Alfonso Garmendia Salvador, Fernanda Ramos Rodríguez, Milagros Latasa Asso, Nieves Zuasti Soravilla, Trinidad Menárguez Palanca, María Isabel Garrido Carballo, Luigi Montoro, María Medina de la Torre, Susana Merchán Rubira 1 de abril de 2019 I Índice de Artículos Editorial del Número 1 (Vol. IX) . 1 Investigación ¿Sombras en la Relatividad General? . 9 José Rojo Montijanoy Mª Carmen Escribano Ródenas Estudio del equilibrio mínimo en un modelo circular de competición política . 27 Javier Rodrigo Hitos, Mariló López Gonzálezy Sagrario Lantarón Sánchez Espacios métricos y métodos de decisión multicriterio .
[Show full text]
THÔNG TIN TOÁN HỌC Tháng 12 Năm 2017 Tập 21 Số 4 Thông Tin Toán Học (Lưu Hành Nội Bộ)
Hội Toán Học Việt Nam THÔNG TIN TOÁN HỌC Tháng 12 Năm 2017 Tập 21 Số 4 Thông Tin Toán Học (Lưu hành nội bộ) ∙ Tổng biên tập ∙ Bản tin Thông Tin Toán Học nhằm Ngô Việt Trung mục đích phản ánh các sinh hoạt chuyên môn trong cộng đồng toán học ∙ Phó tổng biên tập Việt Nam và quốc tế. Bản tin ra thường kỳ 4 số trong một năm. Nguyễn Thị Lê Hương ∙ Thư ký tòa soạn Đoàn Trung Cường ∙ Thể lệ gửi bài: Bài viết bằng tiếng Việt. ∙ Ban biên tập Tất cả các bài, thông tin về sinh hoạt Trần Nguyên An toán học ở các khoa (bộ môn) toán, Đào Phương Bắc về hướng nghiên cứu hoặc trao đổi về Trần Nam Dũng phương pháp nghiên cứu và giảng dạy đều được hoan nghênh. Bản tin cũng Trịnh Thanh Đèo nhận đăng các bài giới thiệu tiềm năng Đào Thị Thu Hà khoa học của các cơ sở cũng như các Đoàn Thế Hiếu bài giới thiệu các nhà toán học. Bài viết Nguyễn An Khương xin gửi về tòa soạn theo email hoặc địa Lê Công Trình chỉ ở trên. Nếu bài được đánh máy tính, Nguyễn Chu Gia Vượng xin gửi kèm theo file với phông chữ unicode. ∙ Địa chỉ liên hệ Bản tin: Thông Tin Toán Học Viện Toán Học 18 Hoàng Quốc Việt, 10307 Hà Nội Email: [email protected] Trang web: http://www.vms.org.vn/ttth/ttth.htm ○c Hội Toán Học Việt Nam Ảnh bìa 1. Giáo sư Hoàng Tụy.
[Show full text]
Maryna Viazovska Was Awarded the 2019 Ruth Lyttle Satter Prize in Mathematics at the 125Th Annual Meeting of the AMS in Baltimore, Maryland, in January 2019
FROM THE AMS SECRETARY 2019 Ruth Lyttle Satter Prize in Mathematics MARYNA VIAZOVSKA was awarded the 2019 Ruth Lyttle Satter Prize in Mathematics at the 125th Annual Meeting of the AMS in Baltimore, Maryland, in January 2019. Citation Dr. Viazovska’s earlier results on spherical designs are The 2019 Ruth Lyttle Satter Prize fundamental contributions to the topic. Her 2013 Annals in Mathematics is awarded to of Mathematics paper with Andriy Bondarenko and Danylo Maryna Viazovska of École Radchenko solved a conjecture of J. Korevaar and J. L. H. Meyers by showing for N > C td, where C is a positive Polytechnique Fédérale de Lau- d d constant depending only on d, that spherical t-designs with sanne for her groundbreaking N points exist in the unit sphere Sd. Spherical designs have work in discrete geometry and been essential tools of practical importance in the statisti- her spectacular solution to the cal design of experiments and in both combinatorics and sphere-packing problem in di- geometry. Most recently, spherical t-designs have appeared mension eight. in the guise of quantum t-designs with applications to In his 1900 list of outstand- quantum information theory and quantum computing. ing mathematical problems, Maryna Viazovska For more about the proof and background on the David Hilbert asked, “How sphere-packing problem, see “A conceptual breakthrough can one arrange most densely in space an infinite number in sphere packing,” by Henry Cohn, Notices of the AMS, 64 of equal solids of a given form, e.g., spheres with given (2017), no. 2; 102–115.
[Show full text]
2019 Special Edition
SwissMAP Perspectives Issue 4 | 2019 Special Edition: Equal Opportunities 04 20 30 Simplify your life by going large Universal Optimality of E8 and Awards and Grants Leech Lattices In this article, our member Susanne Reffert In this article, our member Maryna Viazovska We are pleased to announce the awards explores how her professional path has lead discusses the E8 lattice and the Leech and grants received by our participants and her research to the subject of large-charge lattice who are among the most famous students. expansion and the exciting possibilities of mathematical objects. this relatively new direction. Contents 08 22 31 Conversation with Prof. Anna Interview with Eva Miranda New Collaborators Beliakova Anna Beliakova is a full professor of In this short interview, Eva Miranda (UPC) We continue to expand and grow thanks to mathematics at the University of Zurich. tells us about the importance of organizing a new collaborators within SwissMAP. In this interview we discuss both the past, women workshop and what she hopes it will Welcome to Alessio Figalli and Corinna present and future of her scientific career. achieve. Ulcigrai! 12 26 32 Mentoring Program for women SwissMAP member stories: The Puzzle Corner PhD and Postdocs Olga Chekeres As part of the ongoing effort of SwissMAP SwissMAP-funded PhD student, Olga Test your math and logic skills with these to address the gender gap in our field, the Chekeres, completed her thesis in April 2019. puzzles, kindly put together by some of our Equal Opportunities Committee has recently Olga’s plans are to join the University of contributors.
[Show full text]