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Mathematics People
Mathematics People symmetric spaces, L²-cohomology, arithmetic groups, and MacPherson Awarded Hopf the Langlands program. The list is by far not complete, and Prize we try only to give a representative selection of his contri- bution to mathematics. He influenced a whole generation Robert MacPherson of the Institute for Advanced Study of mathematicians by giving them new tools to attack has been chosen the first winner of the Heinz Hopf Prize difficult problems and teaching them novel geometric, given by ETH Zurich for outstanding scientific work in the topological, and algebraic ways of thinking.” field of pure mathematics. MacPherson, a leading expert Robert MacPherson was born in 1944 in Lakewood, in singularities, delivered the Heinz Hopf Lectures, titled Ohio. He received his B.A. from Swarthmore College in “How Nature Tiles Space”, in October 2009. The prize also 1966 and his Ph.D. from Harvard University in 1970. He carries a cash award of 30,000 Swiss francs, approximately taught at Brown University from 1970 to 1987 and at equal to US$30,000. the Massachusetts Institute of Technology from 1987 to The following quotation was taken from a tribute to 1994. He has been at the Institute for Advanced Study in MacPherson by Gisbert Wüstholz of ETH Zurich: “Singu- Princeton since 1994. His work has introduced radically larities can be studied in different ways using analysis, new approaches to the topology of singular spaces and or you can regard them as geometric phenomena. For the promoted investigations across a great spectrum of math- latter, their study demands a deep geometric intuition ematics. -
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Arxiv:1807.04136V2 [Math.AG] 25 Jul 2018
HITCHIN CONNECTION ON THE VEECH CURVE SHEHRYAR SIKANDER Abstract. We give an expression for the pull back of the Hitchin connection from the moduli space of genus two curves to a ten-fold covering of a Teichm¨ullercurve discovered by Veech. We then give an expression, in terms of iterated integrals, for the monodromy representation of this connection. As a corollary we obtain quantum representations of infinitely many pseudo-Anosov elements in the genus two mapping class group. Contents 1. Introduction 2 1.1. Acknowledgements 6 2. Moduli spaces of vector bundles and Hitchin connection in genus two 6 2.1. The Heisenberg group 8 2.2. The Hitchin connection 10 2.2.1. Riemann surfaces with theta structure 11 2.2.2. Projectively flat connections 12 3. Teichm¨ullercurves and pseudo-Anosov mapping classes 16 3.1. Hitchin connection and Hyperlogarithms on the Veech curve 20 4. Generators of the (orbifold) fundamental group 25 4.1. Computing Monodromy 26 References 31 arXiv:1807.04136v2 [math.AG] 25 Jul 2018 This is author's thesis supported in part by the center of excellence grant 'Center for Quantum Geometry of Moduli Spaces' from the Danish National Research Foundation (DNRF95). 1 HITCHIN CONNECTION ON THE VEECH CURVE 2 1. Introduction Let Sg be a closed connected and oriented surface of genus g ¥ 2, and consider its mapping class group Γg of orientation-preserving diffeomorphisms up to isotopy. More precisely, ` ` Γg :“ Diffeo pSgq{Diffeo0 pSgq; (1) ` where Diffeo pSgq is the group of orientation-preserving diffeomorphisms of Sg, and ` Diffeo0 pSgq denotes the connected component of the identity. -
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 ............................................................................................................................. -
Looking at Earth: an Astronaut's Journey Induction Ceremony 2017
american academy of arts & sciences winter 2018 www.amacad.org Bulletin vol. lxxi, no. 2 Induction Ceremony 2017 Class Speakers: Jane Mayer, Ursula Burns, James P. Allison, Heather K. Gerken, and Gerald Chan Annual David M. Rubenstein Lecture Looking at Earth: An Astronaut’s Journey David M. Rubenstein and Kathryn D. Sullivan ALSO: How Are Humans Different from Other Great Apes?–Ajit Varki, Pascal Gagneux, and Fred H. Gage Advancing Higher Education in America–Monica Lozano, Robert J. Birgeneau, Bob Jacobsen, and Michael S. McPherson Redistricting and Representation–Patti B. Saris, Gary King, Jamal Greene, and Moon Duchin noteworthy Select Prizes and Andrea Bertozzi (University of James R. Downing (St. Jude Chil- Barbara Grosz (Harvard Univer- California, Los Angeles) was se- dren’s Research Hospital) was sity) is the recipient of the Life- Awards to Members lected as a 2017 Simons Investi- awarded the 2017 E. Donnall time Achievement Award of the gator by the Simons Foundation. Thomas Lecture and Prize by the Association for Computational American Society of Hematology. Linguistics. Nobel Prize in Chemistry, Clara D. Bloomfield (Ohio State 2017 University) is the recipient of the Carol Dweck (Stanford Univer- Christopher Hacon (University 2017 Robert A. Kyle Award for sity) was awarded the inaugural of Utah) was awarded the Break- Joachim Frank (Columbia Univer- Outstanding Clinician-Scientist, Yidan Prize. through Prize in Mathematics. sity) presented by the Mayo Clinic Di- vision of Hematology. Felton Earls (Harvard Univer- Naomi Halas (Rice University) sity) is the recipient of the 2018 was awarded the 2018 Julius Ed- Nobel Prize in Economic Emmanuel J. -
Comments on the 2011 Shaw Prize in Mathematical Sciences - - an Analysis of Collectively Formed Errors in Physics by C
Global Journal of Science Frontier Research Physics and Space Science Volume 12 Issue 4 Version 1.0 June 2012 Type : Double Blind Peer Reviewed International Research Journal Publisher: Global Journals Inc. (USA) Online ISSN: 2249-4626 & Print ISSN: 0975-5896 Comments on the 2011 Shaw Prize in Mathematical Sciences - - An Analysis of Collectively Formed Errors in Physics By C. Y. Lo Applied and Pure Research Institute, Nashua, NH Abstract - The 2011 Shaw Prize in mathematical sciences is shared by Richard S. Hamilton and D. Christodoulou. However, the work of Christodoulou on general relativity is based on obscure errors that implicitly assumed essentially what is to be proved, and thus gives misleading results. The problem of Einstein’s equation was discovered by Gullstrand of the 1921 Nobel Committee. In 1955, Gullstrand is proven correct. The fundamental errors of Christodoulou were due to his failure to distinguish the difference between mathematics and physics. His subsequent errors in mathematics and physics were accepted since judgments were based not on scientific evidence as Galileo advocates, but on earlier incorrect speculations. Nevertheless, the Committee for the Nobel Prize in Physics was also misled as shown in their 1993 press release. Here, his errors are identified as related to accumulated mistakes in the field, and are illustrated with examples understandable at the undergraduate level. Another main problem is that many theorists failed to understand the principle of causality adequately. It is unprecedented to award a prize for mathematical errors. Keywords : Nobel Prize; general relativity; Einstein equation, Riemannian Space; the non- existence of dynamic solution; Galileo. GJSFR-A Classification : 04.20.-q, 04.20.Cv Comments on the 2011 Shaw Prize in Mathematical Sciences -- An Analysis of Collectively Formed Errors in Physics Strictly as per the compliance and regulations of : © 2012. -
Opening Ceremony
Opening ceremony Sir John Ball, President of the International Mathematical Union Your Majesty, Señor Ruiz Gallardón, Señora Cabrera, Señora Aguirre, Professor Manuel de León, Distinguished guests, Ladies and gentlemen, ¡Bienvenidos al ICM dos mil seis! Welcome to ICM 2006, the 25th International Congress of Mathematicians, and the first ICM to be held in Spain. We offer our heartfelt thanks to the Spanish nation, so rich in history and culture, for its invitation to Madrid. We greatly appreciate that His Majesty King Juan Carlos is honouring mathematics by His presence here today. While celebrating this feast of mathematics, with the many talking-points that it will provide, it is worth reflecting on the ways in which our community functions. Mathematics is a profession of high standards and integrity. We freely discuss our work with others without fear of it being stolen, and research is communicated openly prior to formal publication. Editorial procedures are fair and proper, and work gains its reputation through merit and not by how it is promoted. These are the norms operated by the vast majority of mathematicians. The exceptions are rare, and they are noticed. Mathematics has a strong record of service, freely given. We see this in the time and care spent in the refereeing of papers and other forms of peer review. We see it in the running of mathematical societies and journals, in the provision of free mathematical software and teaching resources, and in the various projects world-wide to improve electronic access to the mathematical literature, old and new. We see it in the nurturing of students beyond the call of duty. -
Mathematics Calendar
Mathematics Calendar Please submit conference information for the Mathematics Calendar through the Mathematics Calendar submission form at http:// www.ams.org/cgi-bin/mathcal-submit.pl. The most comprehensive and up-to-date Mathematics Calendar information is available on the AMS website at http://www.ams.org/mathcal/. June 2014 Information: http://www.tesol.org/attend-and-learn/ online-courses-seminars/esl-for-the-secondary- 1–7 Modern Time-Frequency Analysis, Strobl, Austria. (Apr. 2013, mathematics-teacher. p. 429) * 2–30 Algorithmic Randomness, Institute for Mathematical Sciences, 2–5 WSCG 2014 - 22nd International Conference on Computer National University of Singapore, Singapore. Graphics, Visualization and Computer Vision 2014, Primavera Description: Activities 1. Informal Collaboration: June 2–8, 2014. 2. Hotel and Congress Centrum, Plzen (close to Prague), Czech Repub- Ninth International Conference on Computability, Complexity and lic. (Jan. 2014, p. 90) Randomness (CCR 2014): June 9–13, 2014. The conference series 2–6 AIM Workshop: Descriptive inner model theory, American “Computability, Complexity and Randomness” is centered on devel- Institute of Mathematics, Palo Alto, California. (Mar. 2014, p. 312) opments in Algorithmic Randomness, and the conference CCR 2014 2–6 Computational Nonlinear Algebra, Institute for Computational will be part of the IMS programme. The CCR has previously been held and Experimental Research in Mathematics, (ICERM), Brown Univer- in Cordoba 2004, in Buenos Aires 2007, in Nanjing 2008, in Luminy sity, Providence, Rhode Island. (Nov. 2013, p. 1398) 2009, in Notre Dame 2010, in Cape Town 2011, in Cambridge 2012, and in Moscow 2013; it will be held in Heidelberg 2015. 3. Informal 2–6 Conference on Ulam’s type stability, Rytro, Poland. -
An Invitation to Model-Theoretic Galois Theory
AN INVITATION TO MODEL-THEORETIC GALOIS THEORY. ALICE MEDVEDEV AND RAMIN TAKLOO-BIGHASH Abstract. We carry out some of Galois’ work in the setting of an arbitrary first-order theory T . We replace the ambient algebraically closed field by a large model M of T , replace fields by definably closed subsets of M, assume that T codes finite sets, and obtain the fundamental duality of Galois theory matching subgroups of the Galois group of L over F with intermediate exten- sions F ≤ K ≤ L. This exposition of a special case of [11] has the advantage of requiring almost no background beyond familiarity with fields, polynomials, first-order formulae, and automorphisms. 1. Introduction. Two hundred years ago, Evariste´ Galois contemplated symmetry groups of so- lutions of polynomial equations, and Galois theory was born. Thirty years ago, Saharon Shelah found it necessary to work with theories that eliminate imaginar- ies; for an arbitrary theory, he constructed a canonical definitional expansion with this property in [16]. Poizat immediately recognized the importance of a theory already having this property in its native language; indeed, he defined “elimina- tion of imaginaries” in [11]. It immediately became clear (see [11]) that much of Galois theory can be developed for an arbitrary first-order theory that eliminates imaginaries. This model-theoretic version of Galois theory can be generalized be- yond finite or even infinite algebraic extensions, and this can in turn be useful in other algebraic settings such as the study of Galois groups of polynomial differential equations (already begun in [11]) and linear difference equations. On a less applied note, it is possible to bring further ideas into the model-theoretic setting, as is done in [10] for the relation between Galois cohomology and homogeneous spaces. -
On Fields of Totally $ S $-Adic Numbers
ON FIELDS OF TOTALLY S-ADIC NUMBERS — WITH AN APPENDIX BY FLORIAN POP — LIOR BARY-SOROKER AND ARNO FEHM Abstract. Given a finite set S of places of a number field, we prove that the field of totally S-adic algebraic numbers is not Hilbertian. The field of totally real algebraic numbers Qtr, the field of totally p-adic algebraic numbers Qtp, and, more generally, fields of totally S-adic algebraic numbers QS, where S is a finite set of places of Q, play an important role in number theory and Galois theory, see for example [5, 9, 11, 7]. The objective of this note is to show that none of these fields is Hilbertian (see [3, Chapter 12] for the definition of a Hilbertian field). Although it is immediate that Qtr is not Hilbertian, it is less clear whether the same holds for Qtp. For example, every finite group that occurs as a Galois group over Qtr is generated by involutions (in fact, the converse also holds, see [4]) although over a Hilbertian field all finite abelian groups (for example) occur. In contrast, over Qtp every finite group occurs, see [2]. In fact, although (except in the case of Qtr) it was not clear whether these fields are actually Hilbertian, certain weak forms of Hilbertianity were proven and used, both explicitly and implicitly, for example in [4, 6]. Also, any proper finite extension of any of these fields is actually Hilbertian, see [3, Theorem 13.9.1]. The non-Hilbertianity of Qtp was implicitly stated and proven in [1, Examples 5.2] but this result seems to have escaped the notice of the community and was forgotten. -
60Th Anniversary Celebrations Institut Des Hautes Études Scientifiques
60th Anniversary Celebrations Institut des Hautes Études Scientifiques 60 ANS IHES The Institut des Hautes Études Scientifiques (IHES) is an advanced research centre in mathematics and theoretical physics, founded in 1958 by an industrialist. About 200 scientists come to the Institute every year (85 % of them from abroad) for their research visits, gathering around a small group of 6 permanent professors. The Institute’s foundational idea is to bring together the greatest minds and to give them wide latitude to carry on their work. It is by following this simple model that IHES has welcomed some of the personalities that have changed the scientific landscape with an unprecedented success. The permanent professors at the Institute have been honored with the greatest distinctions (7 Fields Medals, 2 Abel Prizes, I Einstein Prize, 2 CNRS Gold medals, 2 Breakthrough Prizes...) Since its creation... In 2017... 7 223 15 FIELDS MEDALISTS INVITED PROFESSORS OUT OF THE 10 PERMANENT RESEARCHERS 6 PERMANENT PROFESSORS, PROFESSORS RECRUITED IN 5 EMERITI PROFESSORS, MATHEMATICS 4 CNRS RESEARCHERS 84 233 4 NATIONALITIES SEMINARS INTERNATIONAL HOSTED PRIZES In 2018, IHES will celebrate its 60th Anniversary. If the Institute’s scientific and institutional network will be mobilized, the objective is also to take this opportunity to reach out to a larger audience and share our enthusiasm for research. 2 | ALEXA RENÉ TH ND OM ER G R O T H E N D I E C K 1958 1959 1962 1963 Louis Michel, René Thom Leon Motchane The Founder recruits Jean Dieudonné who works joins IHES, (1958 Fields medalist) creates IHES. -
Meetings & Conferences of The
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 . Jill Pipher, Brown University, Harmonic analysis and New Brunswick, New elliptic boundary value problems. David Vogan, Department of Mathematics, MIT, Matri- Jersey ces almost of order two. Wei Zhang, Columbia University, The Euler product and Rutgers University the Taylor expansion of an L-function. November 14–15, 2015 Special Sessions Saturday – Sunday If you are volunteering to speak in a Special Session, you Meeting #1115 should send your abstract as early as possible via the ab- Eastern Section stract submission form found at www.ams.org/cgi-bin/ Associate secretary: Steven H. Weintraub abstracts/abstract.pl. Announcement issue of Notices: September 2015 Advances in Valuation Theory, Samar El Hitti, New York Program first available on AMS website: October 1, 2015 City College of Technology, City University of New York, Issue of Abstracts: Volume 36, Issue 4 Franz-Viktor Kuhlmann, University of Saskatchewan, and Deadlines Hans Schoutens, New York City College of Technology, For organizers: Expired City University of New York. For abstracts: Expired Algebraic Geometry and Combinatorics, Elizabeth Drel- lich, University of North Texas, Erik Insko, Florida Gulf The scientific information listed below may be dated. Coast University, Aba Mbirika, University of Wisconsin- For the latest information, see www.ams.org/amsmtgs/ Eau Claire, and Heather Russell, Washington College. -
David Donoho COMMENTARY 52 Cliff Ord J
ISSN 0002-9920 (print) ISSN 1088-9477 (online) of the American Mathematical Society January 2018 Volume 65, Number 1 JMM 2018 Lecture Sampler page 6 Taking Mathematics to Heart y e n r a page 19 h C th T Ru a Columbus Meeting l i t h i page 90 a W il lia m s r e lk a W ca G Eri u n n a r C a rl ss on l l a d n a R na Da J i ll C . P ip her s e v e N ré F And e d e r i c o A rd ila s n e k c i M . E d al Ron Notices of the American Mathematical Society January 2018 FEATURED 6684 19 26 29 JMM 2018 Lecture Taking Mathematics to Graduate Student Section Sampler Heart Interview with Sharon Arroyo Conducted by Melinda Lanius Talithia Williams, Gunnar Carlsson, Alfi o Quarteroni Jill C. Pipher, Federico Ardila, Ruth WHAT IS...an Acylindrical Group Action? Charney, Erica Walker, Dana Randall, by omas Koberda André Neves, and Ronald E. Mickens AMS Graduate Student Blog All of us, wherever we are, can celebrate together here in this issue of Notices the San Diego Joint Mathematics Meetings. Our lecture sampler includes for the first time the AMS-MAA-SIAM Hrabowski-Gates-Tapia-McBay Lecture, this year by Talithia Williams on the new PBS series NOVA Wonders. After the sampler, other articles describe modeling the heart, Dürer's unfolding problem (which remains open), gerrymandering after the fall Supreme Court decision, a story for Congress about how geometry has advanced MRI, “My Father André Weil” (2018 is the 20th anniversary of his death), and a profile on Donald Knuth and native script by former Notices Senior Writer and Deputy Editor Allyn Jackson.