Crack Occurrence in Bodies with Gradient Polyconvex Energies
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William M. Goldman June 24, 2021 CURRICULUM VITÆ
William M. Goldman June 24, 2021 CURRICULUM VITÆ Professional Preparation: Princeton Univ. A. B. 1977 Univ. Cal. Berkeley Ph.D. 1980 Univ. Colorado NSF Postdoc. 1980{1981 M.I.T. C.L.E. Moore Inst. 1981{1983 Appointments: I.C.E.R.M. Member Sep. 2019 M.S.R.I. Member Oct.{Dec. 2019 Brown Univ. Distinguished Visiting Prof. Sep.{Dec. 2017 M.S.R.I. Member Jan.{May 2015 Institute for Advanced Study Member Spring 2008 Princeton University Visitor Spring 2008 M.S.R.I. Member Nov.{Dec. 2007 Univ. Maryland Assoc. Chair for Grad. Studies 1995{1998 Univ. Maryland Professor 1990{present Oxford Univ. Visiting Professor Spring 1989 Univ. Maryland Assoc. Professor 1986{1990 M.I.T. Assoc. Professor 1986 M.S.R.I. Member 1983{1984 Univ. Maryland Visiting Asst. Professor Fall 1983 M.I.T. Asst. Professor 1983 { 1986 1 2 W. GOLDMAN Publications (1) (with D. Fried and M. Hirsch) Affine manifolds and solvable groups, Bull. Amer. Math. Soc. 3 (1980), 1045{1047. (2) (with M. Hirsch) Flat bundles with solvable holonomy, Proc. Amer. Math. Soc. 82 (1981), 491{494. (3) (with M. Hirsch) Flat bundles with solvable holonomy II: Ob- struction theory, Proc. Amer. Math. Soc. 83 (1981), 175{178. (4) Two examples of affine manifolds, Pac. J. Math.94 (1981), 327{ 330. (5) (with M. Hirsch) A generalization of Bieberbach's theorem, Inv. Math. , 65 (1981), 1{11. (6) (with D. Fried and M. Hirsch) Affine manifolds with nilpotent holonomy, Comm. Math. Helv. 56 (1981), 487{523. (7) Characteristic classes and representations of discrete subgroups of Lie groups, Bull. -
EUROPEAN MATHEMATICAL SOCIETY EDITOR-IN-CHIEF ROBIN WILSON Department of Pure Mathematics the Open University Milton Keynes MK7 6AA, UK E-Mail: [email protected]
CONTENTS EDITORIAL TEAM EUROPEAN MATHEMATICAL SOCIETY EDITOR-IN-CHIEF ROBIN WILSON Department of Pure Mathematics The Open University Milton Keynes MK7 6AA, UK e-mail: [email protected] ASSOCIATE EDITORS VASILE BERINDE Department of Mathematics, University of Baia Mare, Romania e-mail: [email protected] NEWSLETTER No. 47 KRZYSZTOF CIESIELSKI Mathematics Institute March 2003 Jagiellonian University Reymonta 4 EMS Agenda ................................................................................................. 2 30-059 Kraków, Poland e-mail: [email protected] Editorial by Sir John Kingman .................................................................... 3 STEEN MARKVORSEN Department of Mathematics Executive Committee Meeting ....................................................................... 4 Technical University of Denmark Building 303 Introducing the Committee ............................................................................ 7 DK-2800 Kgs. Lyngby, Denmark e-mail: [email protected] An Answer to the Growth of Mathematical Knowledge? ............................... 9 SPECIALIST EDITORS Interview with Vagn Lundsgaard Hansen .................................................. 15 INTERVIEWS Steen Markvorsen [address as above] Interview with D V Anosov .......................................................................... 20 SOCIETIES Krzysztof Ciesielski [address as above] Israel Mathematical Union ......................................................................... 25 EDUCATION Tony Gardiner -
How a Mathematician Started Making Movies 185
statements pioneers and pathbreakers How a Mathematician Started Making Movies M i ch e l e e M M e R The author’s father, Luciano Emmer, was an Italian filmmaker who made essentially two—possibly three—reasons. The first: In 1976 I feature movies and documentaries on art from the 1930s through was at the University of Trento in northern Italy. I was work- 2008, one year before his death. Although the author’s interest in films ing in an area called the calculus of variations, in particular, inspired him to write many books and articles on cinema, he knew he ABSTRACT would be a mathematician from a young age. After graduating in 1970 minimal surfaces and capillarity problems [4]. I had gradu- and fortuitously working on minimal surfaces—soap bubbles—he had ated from the University of Rome in 1970 and started my the idea of making a film. It was the start of a film series on art and career at the University of Ferrara, where I was very lucky mathematics, produced by his father and Italian state television. This to start working with Mario Miranda, the favorite student of article tells of the author’s professional life as a mathematician and a Ennio De Giorgi. At that time, I also met Enrico Giusti and filmmaker. Enrico Bombieri. It was the period of the investigations of partial differential equations, the calculus of variations and My father, Luciano Emmer, was a famous Italian filmmaker. the perimeter theory—which Renato Caccioppoli first intro- He made not only movies but also many documentaries on duced in the 1950s and De Giorgi and Miranda then devel- art, for example, a documentary about Picasso in 1954 [1] oped [5–7]—at the Italian school Scuola Normale Superiore and one about Leonardo da Vinci [2] that won a Silver Lion of Pisa. -
Curriculum Vitae
Umberto Mosco WPI Harold J. Gay Professor of Mathematics May 18, 2021 Department of Mathematical Sciences Phone: (508) 831-5074, Worcester Polytechnic Institute Fax: (508) 831-5824, Worcester, MA 01609 Email: [email protected] Curriculum Vitae Current position: Harold J. Gay Professor of Mathematics, Worcester Polytechnic Institute, Worcester MA, U.S.A. Languages: English, French, German, Italian (mother language) Specialization: Applied Mathematics Research Interests:: Fractal and Partial Differential Equations, Homog- enization, Finite Elements Methods, Stochastic Optimal Control, Variational Inequalities, Potential Theory, Convex Analysis, Functional Convergence. Twelve Most Relevant Research Articles 1. Time, Space, Similarity. Chapter of the book "New Trends in Differential Equations, Control Theory and Optimization, pp. 261-276, WSPC-World Scientific Publishing Company, Hackenseck, NJ, 2016. 2. Layered fractal fibers and potentials (with M.A.Vivaldi). J. Math. Pures Appl. 103 (2015) pp. 1198-1227. (Received 10.21.2013, Available online 11.4.2014). 3. Vanishing viscosity for fractal sets (with M.A.Vivaldi). Discrete and Con- tinuous Dynamical Systems - Special Volume dedicated to Louis Niren- berg, 28, N. 3, (2010) pp. 1207-1235. 4. Fractal reinforcement of elastic membranes (with M.A.Vivaldi). Arch. Rational Mech. Anal. 194, (2009) pp. 49-74. 5. Gauged Sobolev Inequalities. Applicable Analysis, 86, no. 3 (2007), 367- 402. 6. Invariant field metrics and dynamic scaling on fractals. Phys. Rev. Let- ters, 79, no. 21, Nov. (1997), pp. 4067-4070. 7. Variational fractals. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 25 (1997) No. 3-4, pp. 683-712. 8. A Saint-Venant type principle for Dirichlet forms on discontinuous media (with M. -
Regularity for Partial Differential Equations
Feature Article Regularity for Partial Differential Equations: from De Giorgi-Nash-Moser Theory to Intrinsic Scaling by Jos´eMiguel Urbano Departamento de Matem´atica - CMUC Universidade de Coimbra 1 A beautiful problem smoothness of L, the minimizer (assuming it exists) is also smooth. In the academic year 1956-1957, John Nash had a visit- Problems of this type are related to elliptic equations in ing position at the Institute for Advanced Study (IAS) that a minimizer u is a weak solution of the associated in Princeton, on a sabbatical leave from MIT, but he Euler-Lagrange equation actually lived in New York City. The IAS at the time “was known to be about the dullest place you could n 1 X ∂ find” and Nash used to hang around the Courant In- L (∇u(x)) = 0 in Ω . ∂x ξi stitute which was close to home and full of activity. i=1 i That’s how he came across a problem that mathemati- cians had been trying to solve for quite a while. The This equation can be differentiated with respect to xk, story goes that Louis Nirenberg, at the time a young to give that, for any k = 1, 2, . , n, the partial deriva- ∂u professor at Courant, was the person responsible for the tive := vk satisfies a linear PDE of the form ∂xk unveiling: “...it was a problem that I was interested in and tried to solve. I knew lots of people interested in n X ∂ ∂vk this problem, so I might have suggested it to him, but a (x) = 0 , (1) ∂x ij ∂x I’m not absolutely sure”, said Nirenberg recently in an i,j=1 i j interview to the Notices of the AMS (cf. -
1 Game Theory
Nash Ivar Ekeland CEREMADE et Chaire de Développement Durable Université Paris-Dauphine December, 2016 John Forbes Nash, Jr., and his wife died in a taxi on May 2015, driving home from the airport after receiving the Abel prize in Oslo. This accident does not conclude his career, for long after a mathematician is dead, he lives on in his work. On the contrary, it puts him firmly in the pantheon of mathematics, along with Nils Henrik Abel and Evariste Galois, whose productive life was cut short by fate. In the case of Nash, fate did not appear in the shape of a duellist, but in the guise of a sickness, schizophrenia, which robbed him of forty years of productive and social life. His publication list is remarkably small. In 1945, aged seventeen, he pub- lished his first paper, [12], jointly with his father. Between 1950 and 1954 he published eight papers in game theory (including his PhD thesis) and one paper on real algebraic geometry. Between 1950 and 1954 he published eight papers in analysis, on the imbedding problem for Riemannian manifolds and on regularity for elliptic and parabolic PDEs, plus one paper published much later (1995). A total of nineteen ! For this (incredibly small) production he was awarded the Nobel prize for economics in 1994, which he shared with John Harsanyi and Reinhard Selten, and the Abel prize for mathematics in 2015, which he shared with Louis Nirenberg. I will now review this extraordinary work 1 Game theory 1.1 Nash’sPhD thesis The twentieth century was the first one where mass killing became an industry: for the first time in history, the war dead were counted in the millions. -
RM Calendar 2013
Rudi Mathematici x4–8220 x3+25336190 x2–34705209900 x+17825663367369=0 www.rudimathematici.com 1 T (1803) Guglielmo Libri Carucci dalla Sommaja RM132 (1878) Agner Krarup Erlang Rudi Mathematici (1894) Satyendranath Bose (1912) Boris Gnedenko 2 W (1822) Rudolf Julius Emmanuel Clausius (1905) Lev Genrichovich Shnirelman (1938) Anatoly Samoilenko 3 T (1917) Yuri Alexeievich Mitropolsky January 4 F (1643) Isaac Newton RM071 5 S (1723) Nicole-Reine Etable de Labrière Lepaute (1838) Marie Ennemond Camille Jordan Putnam 1998-A1 (1871) Federigo Enriques RM084 (1871) Gino Fano A right circular cone has base of radius 1 and height 3. 6 S (1807) Jozeph Mitza Petzval A cube is inscribed in the cone so that one face of the (1841) Rudolf Sturm cube is contained in the base of the cone. What is the 2 7 M (1871) Felix Edouard Justin Emile Borel side-length of the cube? (1907) Raymond Edward Alan Christopher Paley 8 T (1888) Richard Courant RM156 Scientists and Light Bulbs (1924) Paul Moritz Cohn How many general relativists does it take to change a (1942) Stephen William Hawking light bulb? 9 W (1864) Vladimir Adreievich Steklov Two. One holds the bulb, while the other rotates the (1915) Mollie Orshansky universe. 10 T (1875) Issai Schur (1905) Ruth Moufang Mathematical Nursery Rhymes (Graham) 11 F (1545) Guidobaldo del Monte RM120 Fiddle de dum, fiddle de dee (1707) Vincenzo Riccati A ring round the Moon is ̟ times D (1734) Achille Pierre Dionis du Sejour But if a hole you want repaired 12 S (1906) Kurt August Hirsch You use the formula ̟r 2 (1915) Herbert Ellis Robbins RM156 13 S (1864) Wilhelm Karl Werner Otto Fritz Franz Wien (1876) Luther Pfahler Eisenhart The future science of government should be called “la (1876) Erhard Schmidt cybernétique” (1843 ). -
The Abel Prize Laureates 2015
The Abel Prize Laureates 2015 John Forbes Nash, Jr. Louis Nirenberg Princeton University, USA Courant Institute, New York University, USA www.abelprize.no John F. Nash, Jr. and Louis Nirenberg receive the Abel Prize for 2015 “for striking and seminal contributions to the theory of nonlinear partial differential equations and its applications to geometric analysis.” Nash’s work on realizing manifolds as large class of nonlinear elliptic equations will real algebraic varieties and the Newlander- exhibit the same symmetries as those that Citation Nirenberg theorem on complex structures are present in the equation itself. further illustrate the influence of both Far from being confined to the solutions laureates in geometry. of the problems for which they were Regularity issues are a daily concern devised, the results proved by Nash and in the study of partial differential equations, Nirenberg have become very useful tools sometimes for the sake of rigorous and have found tremendous applications The Norwegian Academy of Science and Isometric embedding theorems, proofs and sometimes for the precious in further contexts. Among the most Letters has decided to award the Abel Prize showing the possibility of realizing an qualitative insights that they provide about popular of these tools are the interpolation for 2015 to intrinsic geometry as a submanifold of the solutions. It was a breakthrough in inequalities due to Nirenberg, including Euclidean space, have motivated some of the field when Nash proved, in parallel the Gagliardo-Nirenberg inequalities and John F. Nash, Jr., Princeton University these developments. Nash’s embedding with De Giorgi, the first Hölder estimates the John-Nirenberg inequality. -
CURRICULUM VITAE Jasmin Raissy
CURRICULUM VITAE Jasmin Raissy Personal Data: place and date of birth: May 20, 1982, Pisa citizenship: Italian residence address: 37 rue L´eoLagrange, 31400, Toulouse, France tel. office: +33 (0) 5 61 55 60 28 e-mail address:[email protected] web: http://www.math.univ-toulouse.fr/~jraissy languages: Italian, English, French current position: Ma^ıtrede Conf´erencesat the Institut de Math´emati- ques de Toulouse, Universit´ePaul Sabatier General information 2004 First level undergraduate degree (Italian \Laurea Triennale") in Mathematics, re- ceived by the Universit`adi Pisa (on September 29, 2004); advisor Prof. Marco Abate; dissertation: \Dinamica olomorfa nell'intorno di un punto parabolico". 2006 Second level undergraduate degree (Italian \Laurea Specialistica") in Mathematics, received by the Universit`adi Pisa (on July 21, 2006), with a grade of 110/110 with honours; advisor Prof. Marco Abate; dissertation: \Normalizzazione di campi vettoriali olomorfi”. Winner of a Ph.D. fellowship in the competition to enter the Ph.D. program in Mathematics at the Department of Mathematics \Leonida Tonelli" of the Universit`a di Pisa. 2007 From January, 1, 2007 until February, 26, 2010 Ph.D. student with fellowship at the Universit`adi Pisa. 2010 Ph.D. in Mathematics, received by the Universit`adi Pisa on February 26, 2010; advisor Prof. Marco Abate; Thesis: \Geometrical methods in the normalization of germs of biholomorphisms"; grade: excellent. 2010{2011 From January 1, 2010 until December 31, 2011: post-doc fellow (Italian \assegnista di ricerca"), at Universit`adegli Studi di Milano-Bicocca. 2012 Since January 1, 2012 until August 31: post-doc fellow (Italian \assegnista di ricer- ca"), at Universit`adegli Studi di Milano-Bicocca. -
A Bibliography of Collected Works and Correspondence of Mathematicians Steven W
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by eCommons@Cornell A Bibliography of Collected Works and Correspondence of Mathematicians Steven W. Rockey Mathematics Librarian Cornell University [email protected] December 14, 2017 This bibliography was developed over many years of work as the Mathemat- ics Librarian at Cornell University. In the early 1970’s I became interested in enhancing our library’s holdings of collected works and endeavored to comprehensively acquire all the collected works of mathematicians that I could identify. To do this I built up a file of all the titles we held and another file for desiderata, many of which were out of print. In 1991 the merged files became a printed bibliography that was distributed for free. The scope of the bibliography includes the collected works and correspon- dence of mathematicians that were published as monographs and made available for sale. It does not include binder’s collections, reprint collec- tions or manuscript collections that were put together by individuals, de- partments or libraries. In the beginning I tried to include all editions, but the distinction between editions, printings, reprints, translations and now e-books was never easy or clear. In this latest version I have supplied the OCLC identification number, which is used by libraries around the world, since OCLC does a better job connecting the user with the various ver- sion than I possibly could. In some cases I have included a title that has an author’s mathematical works but have not included another title that may have their complete works. -
Notices of the American Mathematical Society ABCD Springer.Com
ISSN 0002-9920 Notices of the American Mathematical Society ABCD springer.com Visit Springer at the of the American Mathematical Society 2010 Joint Mathematics December 2009 Volume 56, Number 11 Remembering John Stallings Meeting! page 1410 The Quest for Universal Spaces in Dimension Theory page 1418 A Trio of Institutes page 1426 7 Stop by the Springer booths and browse over 200 print books and over 1,000 ebooks! Our new touch-screen technology lets you browse titles with a single touch. It not only lets you view an entire book online, it also lets you order it as well. It’s as easy as 1-2-3. Volume 56, Number 11, Pages 1401–1520, December 2009 7 Sign up for 6 weeks free trial access to any of our over 100 journals, and enter to win a Kindle! 7 Find out about our new, revolutionary LaTeX product. Curious? Stop by to find out more. 2010 JMM 014494x Adrien-Marie Legendre and Joseph Fourier (see page 1455) Trim: 8.25" x 10.75" 120 pages on 40 lb Velocity • Spine: 1/8" • Print Cover on 9pt Carolina ,!4%8 ,!4%8 ,!4%8 AMERICAN MATHEMATICAL SOCIETY For the Avid Reader 1001 Problems in Mathematics under the Classical Number Theory Microscope Jean-Marie De Koninck, Université Notes on Cognitive Aspects of Laval, Quebec, QC, Canada, and Mathematical Practice Armel Mercier, Université du Québec à Chicoutimi, QC, Canada Alexandre V. Borovik, University of Manchester, United Kingdom 2007; 336 pages; Hardcover; ISBN: 978-0- 2010; approximately 331 pages; Hardcover; ISBN: 8218-4224-9; List US$49; AMS members 978-0-8218-4761-9; List US$59; AMS members US$47; Order US$39; Order code PINT code MBK/71 Bourbaki Making TEXTBOOK A Secret Society of Mathematics Mathematicians Come to Life Maurice Mashaal, Pour la Science, Paris, France A Guide for Teachers and Students 2006; 168 pages; Softcover; ISBN: 978-0- O. -
Alessio Figalli: Magic, Method, Mission
Feature Alessio Figalli: Magic, Method, Mission Sebastià Xambó-Descamps (Universitat Politècnica de Catalunya (UPC), Barcelona, Catalonia, Spain) This paper is based on [49], which chronicled for the ness, and his aptitude for solving them, as well as the joy Catalan mathematical community the Doctorate Honoris such magic insights brought him, were a truly revelatory Causa conferred to Alessio Figalli by the UPC on 22nd experience. In the aforementioned interview [45], Figalli November 2019, and also on [48], which focussed on the describes this experience: aspects of Figalli’s scientific biography that seemed more appropriate for a society of applied mathematicians. Part At the Mathematical Olympiad, I met other teens of the Catalan notes were adapted to Spanish in [10]. It is a who loved math. All of them dreamed of studying at pleasure to acknowledge with gratitude the courtesy of the the Scuola Normale Superiore in Pisa (SNSP), which Societat Catalana de Matemàtiques (SCM), the Sociedad offers a high level of education. Those who get one of Española de Matemática Aplicada (SEMA) and the Real the coveted scholarships do not have to pay anything. Sociedad Matemática Española (RSME) their permission Living, eating and studying are free. I also wanted that. to freely draw from those pieces for assembling this paper. I concentrated on mathematics and physics on my own and managed to pass the entrance exam. The first year at Scuola Normale (SN) was tough. I didn’t Origins, childhood, youth, plenitude even know how to calculate a derivative, while my col- Alessio Figalli was born in Rome leagues were much more advanced than me, since they on 2 April 1984.