Joseph B. Keller (1923–2016)
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Professor Richard Courant (1888 – 1972)
Professor Richard Courant (1888 – 1972) From Wikipedia, the free encyclopedia, http://en.wikipedia.org/wiki/Richard_Courant Field: Mathematics Institutions: University of Göttingen University of Münster University of Cambridge New York University Alma mater: University of Göttingen Doctoral advisor: David Hilbert Doctoral students: William Feller Martin Kruskal Joseph Keller Kurt Friedrichs Hans Lewy Franz Rellich Known for: Courant number Courant minimax principle Courant–Friedrichs–Lewy condition Biography: Courant was born in Lublinitz in the German Empire's Prussian Province of Silesia. During his youth, his parents had to move quite often, to Glatz, Breslau, and in 1905 to Berlin. He stayed in Breslau and entered the university there. As he found the courses not demanding enough, he continued his studies in Zürich and Göttingen. Courant eventually became David Hilbert's assistant in Göttingen and obtained his doctorate there in 1910. He had to fight in World War I, but he was wounded and dismissed from the military service shortly after enlisting. After the war, in 1919, he married Nerina (Nina) Runge, a daughter of the Göttingen professor for Applied Mathematics, Carl Runge. Richard continued his research in Göttingen, with a two-year period as professor in Münster. There he founded the Mathematical Institute, which he headed as director from 1928 until 1933. Courant left Germany in 1933, earlier than many of his colleagues. While he was classified as a Jew by the Nazis, his having served as a front-line soldier exempted him from losing his position for this particular reason at the time; however, his public membership in the social-democratic left was a reason for dismissal to which no such exemption applied.[1] After one year in Cambridge, Courant went to New York City where he became a professor at New York University in 1936. -
Homogenization 2001, Proceedings of the First HMS2000 International School and Conference on Ho- Mogenization
in \Homogenization 2001, Proceedings of the First HMS2000 International School and Conference on Ho- mogenization. Naples, Complesso Monte S. Angelo, June 18-22 and 23-27, 2001, Ed. L. Carbone and R. De Arcangelis, 191{211, Gakkotosho, Tokyo, 2003". On Homogenization and Γ-convergence Luc TARTAR1 In memory of Ennio DE GIORGI When in the Fall of 1976 I had chosen \Homog´en´eisationdans les ´equationsaux d´eriv´eespartielles" (Homogenization in partial differential equations) for the title of my Peccot lectures, which I gave in the beginning of 1977 at Coll`egede France in Paris, I did not know of the term Γ-convergence, which I first heard almost a year after, in a talk that Ennio DE GIORGI gave in the seminar that Jacques-Louis LIONS was organizing at Coll`egede France on Friday afternoons. I had not found the definition of Γ-convergence really new, as it was quite similar to questions that were already discussed in control theory under the name of relaxation (which was a more general question than what most people mean by that term now), and it was the convergence in the sense of Umberto MOSCO [Mos] but without the restriction to convex functionals, and it was the natural nonlinear analog of a result concerning G-convergence that Ennio DE GIORGI had obtained with Sergio SPAGNOLO [DG&Spa]; however, Ennio DE GIORGI's talk contained a quite interesting example, for which he referred to Luciano MODICA (and Stefano MORTOLA) [Mod&Mor], where functionals involving surface integrals appeared as Γ-limits of functionals involving volume integrals, and I thought that it was the interesting part of the concept, so I had found it similar to previous questions but I had felt that the point of view was slightly different. -
Arxiv:2105.10149V2 [Math.HO] 27 May 2021
Extended English version of the paper / Versión extendida en inglés del artículo 1 La Gaceta de la RSME, Vol. 23 (2020), Núm. 2, Págs. 243–261 Remembering Louis Nirenberg and his mathematics Juan Luis Vázquez, Real Academia de Ciencias, Spain Abstract. The article is dedicated to recalling the life and mathematics of Louis Nirenberg, a distinguished Canadian mathematician who recently died in New York, where he lived. An emblematic figure of analysis and partial differential equations in the last century, he was awarded the Abel Prize in 2015. From his watchtower at the Courant Institute in New York, he was for many years a global teacher and master. He was a good friend of Spain. arXiv:2105.10149v2 [math.HO] 27 May 2021 One of the wonders of mathematics is you go somewhere in the world and you meet other mathematicians, and it is like one big family. This large family is a wonderful joy.1 1. Introduction This article is dedicated to remembering the life and work of the prestigious Canadian mathematician Louis Nirenberg, born in Hamilton, Ontario, in 1925, who died in New York on January 26, 2020, at the age of 94. Professor for much of his life at the mythical Courant Institute of New York University, he was considered one of the best mathematical analysts of the 20th century, a specialist in the analysis of partial differential equations (PDEs for short). 1From an interview with Louis Nirenberg appeared in Notices of the AMS, 2002, [43] 2 Louis Nirenberg When the news of his death was received, it was a very sad moment for many mathematicians, but it was also the opportunity of reviewing an exemplary life and underlining some of its landmarks. -
Louis Nirenberg
Obituary Louis Nirenberg (1925–2020) Mathematician who transformed the study of partial differential equations. fter the Second World War, PDE in Novosibirsk, which helped to redefine mathe matics in the United States the relationship between the Soviet Union flourished owing to a convergence of and the United States. There, he forged close interests. Mathematicians had shown friendships in an environment he compared to their worth to military and indus- a voyage at sea. A later geopolitically signifi- Atry patrons, who underwrote far-reaching cant trip took him to China toward the end of empires of theories and people, including the the Cultural Revolution. After being assigned consummate problem-solver Louis Nirenberg. a PhD thesis in Italian as the subject for a term One of the world’s most cited and paper during his graduate studies, he devel- productive mathematicians, Nirenberg was oped a lifelong affinity for Italy. also among the most collaborative. His work Nirenberg was known for using methods in continued to make waves until he was well their most fruitful generality. “I have made a into his eighties, and reshaped how mathe- living off the maximum principle,” he quipped, maticians understand and study dynamical referring to a fundamental technique for systems, from cells to markets. Winning the establishing inequalities in PDE. He demon- 2015 Abel Prize (shared with John Nash, made strated its versatile potential to researchers in NEW YORK UNIVERSITY ARCHIVES NEW YORK famous by the 2001 film A Beautiful Mind) was many fields. As a young man, he had worried just a bookend to a fêted career. -
2004 Steele Prizes
2004 Steele Prizes The 2004 Leroy P. Steele Prizes were awarded at the The 2004 Steele Prizes were awarded to JOHN W. 110th Annual Meeting of the AMS in Phoenix in MILNOR for Mathematical Exposition, to LAWRENCE C. January 2004. EVANS and NICOLAI V. KRYLOV for a Seminal Contri- The Steele Prizes were established in 1970 in honor bution to Research, and to CATHLEEN SYNGE MORAWETZ of George David Birkhoff, William Fogg Osgood, and for Lifetime Achievement. The text that follows William Caspar Graustein. Osgood was president of presents, for each awardee, the selection commit- the AMS during 1905–06, and Birkhoff served in that tee’s citation, a brief biographical sketch, and the capacity during 1925–26. The prizes are endowed awardee’s response upon receiving the prize. under the terms of a bequest from Leroy P. Steele. Up to three prizes are awarded each year in the follow- Mathematical Exposition: John W. Milnor ing categories: (1) Lifetime Achievement: for the Citation cumulative influence of the total mathematical work The Leroy P. Steele Prize for Mathematical Exposi- of the recipient, high level of research over a period tion is awarded to John W. Milnor in recognition of time, particular influence on the development of of a lifetime of expository contributions ranging a field, and influence on mathematics through Ph.D. across a wide spectrum of disciplines including students; (2) Mathematical Exposition: for a book topology, symmetric bilinear forms, characteristic or substantial survey or expository-research paper; classes, Morse theory, game theory, algebraic K- (3) Seminal Contribution to Research (limited for theory, iterated rational maps…and the list goes on. -
Mathematics Newsletter Volume 21. No4, March 2012
MATHEMATICS NEWSLETTER EDITORIAL BOARD S. Ponnusamy (Chief Editor) Department of Mathematics Indian Institute of Technology Madras Chennai - 600 036, Tamilnadu, India Phone : +91-44-2257 4615 (office) +91-44-2257 6615, 2257 0298 (home) [email protected] http://mat.iitm.ac.in/home/samy/public_html/index.html S. D. Adhikari G. K. Srinivasan Harish-Chandra Research Institute Department of Mathematics, (Former Mehta Research Institute ) Indian Institute of Technology Chhatnag Road, Jhusi Bombay Allahabad 211 019, India Powai, Mumbai 400076, India [email protected] [email protected] C. S. Aravinda B. Sury, TIFR Centre for Applicable Mathematics Stat-Math Unit, Sharadanagar, Indian Statistical Institute, Chikkabommasandra 8th Mile Mysore Road, Post Bag No. 6503 Bangalore 560059, India. Bangalore - 560 065 [email protected], [email protected] [email protected] M. Krishna G. P. Youvaraj The Institute of Mathematical Sciences Ramanujan Institute CIT Campus, Taramani for Advanced Study in Mathematics Chennai-600 113, India University of Madras, Chepauk, [email protected] Chennai-600 005, India [email protected] Stefan Banach (1892–1945) R. Anantharaman SUNY/College, Old Westbury, NY 11568 E-mail: rajan−[email protected] To the memory of Jong P. Lee Abstract. Stefan Banach ranks quite high among the founders and developers of Functional Analysis. We give a brief summary of his life, work and methods. Introduction (equivalent of middle/high school) there. Even as a student Stefan revealed his talent in mathematics. He passed the high Stefan Banach and his school in Poland were (among) the school in 1910 but not with high honors [M]. -
Fall 2016 Newsletter
Fall 2016 Published by the Courant Institute of Mathematical Sciences at New York University Courant Newsletter Modeling the Unseen Earth with Georg Stadler Volume 13, Issue 1 p4 p12 p2 IN MEMORIAM: ENCRYPTION FOR A JOSEPH KELLER POST-QUANTUM WORLD WITH ODED REGEV p8 FOR THE LOVE OF MATH: CMT nurtures mathematically talented, underserved kids ALSO IN THIS ISSUE: AT THE BOUNDARY NEW FACULTY OF TWO FIELDS: p11 A COURANT STORY p6 PUZZLE: FIND ME QUICKLY CHANGING OF p13 THE GUARD p7 IN MEMORIAM: ELIEZER HAMEIRI p10 Encryption for a post-quantum world With Oded Regev by April Bacon assumed secure because the problem on which it is based — in this case, factoring very large numbers — is assumed very hard. “The key to almost all quantum algorithms is something called the quantum Fourier transform,” says Oded. “It allows quantum computers to easily identify periodicity [occurrences at regular intervals], which, as it turns out, allows to solve the integer factorization problem.” By using Shor’s algorithm, quantum computers will be able to break systems used today very quickly — it is thought in a matter of seconds. The speed is “not because the computer is fast – this is a common misconception,” says Oded. “It just does ©NYU Photo Bureau: Asselin things in different ways.” Whereas a regular computer has bits that alternate between (From left to right) Oded Regev with Ph.D. students Noah Stephens-Davidowitz and state “0” and “1,” a quantum computer – Alexander (Sasha) Golovnev. by putting photons, electrons, and other Oded Regev established a landmark lattice- Public-key encryption is “one of the quantum objects to work as “qubits” – can based encryption system, which could help main conceptual discoveries of the 20th take advantage of a quantum phenomenon keep the internet secure in a post-quantum century,” says Oded. -
Luis Ángel Caffarelli Curriculum Vitae
LUIS ÁNGEL CAFFARELLI CURRICULUM VITAE Date of Birth December 08, 1948 Birthplace Buenos Aires, Argentina Citizenship USA/Argentina Current Position: Sid W. Richardson Foundation Regents Chair in Mathematics No. 1 Professor of Mathematics, Department of Mathematics, University of Texas at Austin and The Institute for Computational Engineering and Sciences Email [email protected] Phone 512 471 3160 Academic Degrees PhD University of Buenos Aires, 1972 MS University of Buenos Aires, 1969 Scientific Career 1997- Professor, University of Texas at Austin 1994-97 Professor, Courant Institute - NYU 1986-96 Professor, Institute for Advanced Study - Princeton 1983-86 Professor, University of Chicago 1980-82 Professor, Courant Institute of Mathematical Sciences, NYU 1979-83 Professor, University of Minnesota! 1977-79 Associate Professor, University of Minnesota 1975-77 Assistant Professor, University of Minnesota 1973-74 Postdoctoral Fellow, University of Minnesota Professional Memberships National Academy of Sciences American Academy of Arts and Sciences Academy of Medicine, Engineering and Science of Texas American Mathematical Society Association for Women in Mathematics Society for Industrial and Applied Mathematics Pontifical Academy of Sciences, Vatican City, Italy Royal Spanish Academy of Sciences Unión Matemática Argentina Academia Nacional de Ciencias Exactas, Físicas y Naturales, Argentina Academia Nacional de Ciencias: Córdoba, Argentina L'Accademia Nazionale delle Scienze detta dei XL, Italy L'Accademia Nazionale dei Lincei, Italy L'Istituto Lombardo Accademia di Scienze e Lettere, Italy Luis A. Caffarelli DISTINCTIONS 2018 Asociación Argentina de Mecánica Computacional (AMCA) Prize to the International Scientific Career 2018 The Shaw Prize in Mathematics, Hong Kong 2016 Honorary Researcher (IMPA), Rio de Janeiro, Brazil 2015 Elected Member Royal Spanish Academy of Sciences, Madrid 2014 Career Research Excellence Award UT Co-op, Austin, Texas 2014 Doctor Honoris Causa Univ Nacional del Litoral, Santa Fe, Argentina 2014 Leroy P. -
Interview with Joseph Keller
Interview with Joseph Keller he moved to Stanford University, where he is now an emeritus professor. Keller has received many awards and honors throughout his career, including the von Karman Prize of the Society for Industrial and Applied Mathematics (1979), the Timoshenko Medal of the American Society of Mechanical Engineers (1984), the National Medal of Science (1988), the National Academy of Sciences Award in Applied Mathe- matics and Numerical Analysis (1995), the Nemmers Joe Keller at home in Stanford, CA. Prize from Northwestern University (1996), and Joseph B. Keller is one of the premier applied math- the Wolf Prize (1997). ematicians of recent times. The problems he has What follows is the edited text of an interview worked on span a wide range of areas, including with Keller conducted in March 2004 by Notices se- wave propagation, semiclassical mechanics, geo- nior writer and deputy editor Allyn Jackson. physical fluid dynamics, epidemiology, biome- chanics, operations research, finance, and the math- Early Years ematics of sports. His best-known work includes Notices: How did you get interested in mathemat- the Geometrical Theory of Diffraction, which is an ics? extension of the classical theory of optics and in- Keller: I was always good at mathematics as a spired the introduction of geometric methods in child. My father, who was not educated but was a the study of partial differential equations, and the smart guy, used to give my Einstein-Brillouin-Keller Method, which provided brother and me mathematical new ways to compute eigenvalues in quantum me- puzzles when we were kids. chanics. Keller has had about fifty doctoral students Here’s an example. -
1968 Commencement Program
UNIVERSITY of PENNSYLVANIA - Two Hundred and Twelfth Commencement for the Conferring of Degrees PHILADELPHIA CIVIC CENTER Monday, May 20, 1968 10:00 A.M. jJ STAGE (1, ......II ,........I " Official Guests Medicine College for Women Graduate Medicine Wharton Law College Nursing Graduate Allied Fine Arts Medical Professions Dental Medicine Veterinary Medicine Wharton Graduate Graduate Arts& Sciences Civil& Mechanical Engineering Chemical Graduate Engineering Education Electrical Engineering Social Work Metallurgy Annenberg Guests will find this diagram helpful in locating the opposite page under Degrees in Course. Reference approximate seating of the degree candidates. The to the paragraph on page seven describing the seating and the order of march in the student pro colors of the candidates' hoods according to their cession correspond closely to the order by school fields of study may further assist guests in placing in which the candidates for degrees are presented. the locations of the various schools. This sequence is shown in the Contents on the Contents Page Seating Diagram of the Graduating Students .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. 2 The Commencement Ceremony . 4 Background of the Ceremonies . .. .. .. 6 Degrees in Course . .. .. .. 8 The College of Arts and Sciences . 8 The Engineering Schools . .. .. .. 14 The Towne School of Civil and Mechanical Engineering ... ........ ......... 14 The School of Chemical Engineering . .. .. .. 15 The Moore School of Electrical Engineering . .. 16 The School of Metallurgy and Materials Science . .. .. 18 The Wharton School of Finance and Commerce . 19 The College of Liberal Arts for Women ....... .. ... ...... .. .. .... ............ ..... .. ......... 26 The School of Nursing ... ........................... .... ................ ... ................... ........ 31 The School of Allied Medical Professions . .. .. 3 3 The Graduate School of Arts and Sciences . .. .. .. 34 The School of Medicine . -
2004 Notices Index
The 2004 Notices Index Index Section Page Number Index Section Page Number The AMS 1413 Memorial Articles 1424 Announcements 1414 New Publications Offered by the AMS 1425 Authors of Articles 1416 Officers and Committee Members 1425 Deaths of Members of the Society 1417 Opinion 1425 Education 1418 Opportunities 1425 Feature Articles 1418 Prizes and Awards 1426 Letters to the Editor 1419 The Profession 1428 Mathematicians 1420 Reference and Book List 1428 Mathematics Articles 1423 Reviews 1428 Mathematics History 1424 Surveys 1428 Meetings Information 1424 Tables of Contents 1428 About the Cover AMS-AAAS Mass Media Summer Fellowships, 1075 8, 207, 319, 411, 495, 619, 815, 883, 1023, 1194, 1347 AMS-AAAS Media Fellow Named, 808 AMS Associate Executive Editor Positions—Applications Invited, 602 AMS Book Prize, 450, 568 AMS Committee on Meetings and Conferences, 1249 AMS Committee on Science Policy, 1246 AMS Email Support for Frequently Asked Questions, 1365 AMS Menger Awards at the 2004 ISEF, 1235 AMS Menger Prizes at the 2004 ISEF, 913 The AMS AMS Mentoring Workshop, 1304 2000 Mathematics Subject Classification, 60, 275, 454, AMS Officers and Committee Members, 1082 572, 992, 1290 AMS Participates in Capitol Hill Exhibition, 1076 2003 AMS Election Results, 269 AMS Participates in Celebration of von Neumann’s Birth, 2003 AMS Policy Committee Reports, 264 52 2003 Annual Survey of the Mathematical Sciences (First AMS Scholarships for “Math in Moscow”, 805 Report), 218 AMS Short Course, 1161 2003 Annual Survey of the Mathematical Sciences (Second -
2010 Chern Medal Awarded
2010 Chern Medal Awarded On August 19, 2010, the first and nonlinear partial differential equations (PDEs) Chern Medal Award was pre- and related areas of analysis, the basic mathemati- sented at the opening ceremo- cal tools of modern science. PDEs arise in physics nies of the International Con- and geometry when systems depend on several gress of Mathematicians (ICM) in variables simultaneously, and the most interest- Hyderabad, India. The awardee ing ones are nonlinear. The importance of PDEs is is Louis Nirenberg of the Cou- clear in the fact that, of the seven million-dollar rant Institute of Mathematical Millennium Problems posed by the Clay Mathemat- Sciences, New York University. ics Institute, three are in or are related to PDEs. He was honored “for his role in Nirenberg’s work in PDEs is deep and fundamen- the formulation of the modern Photograph courtesy of ICM/IMU. tal. He developed intricate connections between theory of nonlinear elliptic par- Louis Nirenberg analysis and differential geometry and applied tial differential equations and them to the theory of fluid phenomena and other for mentoring numerous students and postdocs physical processes. in this area.” Nirenberg’s thesis concerned a fundamental The Chern Medal Award was instituted for 2010 issue in geometry: the solution to an embedding in memory of the outstanding mathematician problem in differential geometry that Hermann Shiing-Shen Chern. It will be awarded jointly with Weyl had posed around 1916. Given a Riemannian the Chern Medal Foundation (CMF) to an individual metric on a unit sphere with positive Gauss curva- whose lifelong outstanding achievements in the ture, can you embed this two-sphere isometrically field of mathematics warrant the highest level of in three-space as a convex surface? The thesis itself recognition.