CURRICULUM VITAE November 12, 2020
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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. -
Contemporary Mathematics 526
CONTEMPORARY MATHEMATICS 526 Nonlinear Partial Differential Equations and Hyperbolic Wave Phenomena The 2008–2009 Research Program on Nonlinear Partial Differential Equations Centre for Advanced Study at the Norwegian Academy of Science and Letters Oslo, Norway Helge Holden Kenneth H. Karlsen Editors American Mathematical Society http://dx.doi.org/10.1090/conm/526 Nonlinear Partial Differential Equations and Hyperbolic Wave Phenomena CONTEMPORARY MATHEMATICS 526 Nonlinear Partial Differential Equations and Hyperbolic Wave Phenomena The 2008–2009 Research Program on Nonlinear Partial Differential Equations Centre for Advanced Study at the Norwegian Academy of Science and Letters Oslo, Norway Helge Holden Kenneth H. Karlsen Editors American Mathematical Society Providence, Rhode Island Editorial Board Dennis DeTurck, managing editor George Andrews Abel Klein Martin J. Strauss 2000 Mathematics Subject Classification. Primary 35L65, 35Q30, 35G25, 35J70, 35K65, 35B65, 39A14, 35B25, 35L05, 65M08. Library of Congress Cataloging-in-Publication Data Det Norske Videnskaps-Akademi. Research Program on Nonlinear Partial Differential Equations (2008–2009 : Centre for Advanced Study at the Norwegian Academy of Science and Letters) Nonlinear partial differential equations and hyperbolic wave phenomena : 2008–2009 Research Program on Nonlinear Partial Differential Equations, Centre for Advanced Study at the Norwegian Academy of Science and Letters, Oslo, Norway / [edited by] Helge Holden, Kenneth H. Karlsen. p. cm. — (Contemporary mathematics ; v. 526) Includes -
Curriculum Vitae of Marta Lewicka
Curriculum Vitae of Marta Lewicka Affiliation University of Pittsburgh, Department of Mathematics, (email) [email protected] 139 University Place, (url) http://www.math.pitt.edu/~lewicka Pittsburgh, PA 15260 Nationality Polish, US Permanent Resident Research Interests Mathematical Theory of Elasticity, Calculus of Variations, Differential Geometry, Nonlinear Partial Differential Equations, Systems of Conservation Laws, Reaction-Diffusion Equations, Nonlinear Analysis Appointments 2011 - present Associate Professor with Tenure Department of Mathematics, University of Pittsburgh 2010 - 2011 Associate Professor with Tenure School of Mathematics, University of Minnesota, Minneapolis 2010 - 2011 Assistant Professor - Tenure granted May 2011 Department of Mathematics, Rutgers University, New Brunswick 2005 - 2009 Assistant Professor School of Mathematics, University of Minnesota, Minneapolis 2002 - 2005 L.E. Dickson Instructor, Department of Mathematics, and Research Associate, Department of Astrophysics, University of Chicago 2000 - 2002 Post-doctoral Fellow Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany Long-term visiting positions 2009 - 2010 Long term visitor at Institute for Mathematics and Its Applications, Minneapolis (Thematic Year on Complex Fluids and Complex Flows) 2008 - 2009 Visiting Professor, Department of Mathematics, Carnegie Mellon University 05 - 06/2002 EU Post-doctoral Fellow SISSA, Trieste, Italy Education 2000 Ph.D. Mathematical Analysis, Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste, Italy, Thesis: Topics in the Stability of Systems of Conservation Laws. Advisor: A. Bressan. 1998 B.Sc. Computer Science, Polytechnic of Czestochowa, Poland, Faculty of Computer Science. Thesis: Recursive Algorithms in Computer Graphics. Advisor: H. Piech. 1996 M.Sc. and B.Sc. Mathematics, University of Gdansk, Poland, Faculty of Mathematics, Physics and Informatics. Thesis: Multivalued Poincare Operator. -
Curriculum Vitae of Marta Lewicka
Curriculum Vitae of Marta Lewicka Affiliation University of Pittsburgh, Department of Mathematics, (email) [email protected] 139 University Place, (url) http://www.math.pitt.edu/~lewicka Pittsburgh, PA 15260 Nationality Polish, American Research Interests Mathematical Theory of Elasticity, Calculus of Variations, Differential Geometry, Nonlinear Partial Differential Equations, Systems of Conservation Laws, Reaction-Diffusion Equations, Nonlinear Analysis Appointments 2011 - present Associate Professor with Tenure Department of Mathematics, University of Pittsburgh 2010 - 2011 Associate Professor with Tenure School of Mathematics, University of Minnesota, Minneapolis 2010 - 2011 Assistant Professor - Tenure granted May 2011 Department of Mathematics, Rutgers University, New Brunswick 2005 - 2009 Assistant Professor School of Mathematics, University of Minnesota, Minneapolis 2002 - 2005 L.E. Dickson Instructor, Department of Mathematics, and Research Associate, Department of Astrophysics, University of Chicago 2000 - 2002 Post-doctoral Fellow Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany Long-term visiting positions 08/2014 Visiting Professor at Okinawa Institute of Science and Technology, Japan 05/2014 Invited Professor at the Applied Mathematics and Computer Science Department in Universite Paris Descartes (Paris 5), France 05 - 07/2013 Giovanni Prodi Chair in Nonlinear Analysis, University of Wuerzburg, Germany 2009 - 2010 Long term visitor at Institute for Mathematics and Its Applications, Minneapolis (Thematic Year on Complex Fluids and Complex Flows) 2008 - 2009 Visiting Professor, Department of Mathematics, Carnegie Mellon University 05 - 06/2002 EU Post-doctoral Fellow SISSA, Trieste, Italy Education 2000 Ph.D. Mathematical Analysis, Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste, Italy, Thesis: Topics in the Stability of Systems of Conservation Laws. Advisor: A. Bressan. 1998 B.Sc. -
2018-06-108.Pdf
NEWSLETTER OF THE EUROPEAN MATHEMATICAL SOCIETY Feature S E European Tensor Product and Semi-Stability M M Mathematical Interviews E S Society Peter Sarnak Gigliola Staffilani June 2018 Obituary Robert A. Minlos Issue 108 ISSN 1027-488X Prague, venue of the EMS Council Meeting, 23–24 June 2018 New books published by the Individual members of the EMS, member S societies or societies with a reciprocity agree- E European ment (such as the American, Australian and M M Mathematical Canadian Mathematical Societies) are entitled to a discount of 20% on any book purchases, if E S Society ordered directly at the EMS Publishing House. Bogdan Nica (McGill University, Montreal, Canada) A Brief Introduction to Spectral Graph Theory (EMS Textbooks in Mathematics) ISBN 978-3-03719-188-0. 2018. 168 pages. Hardcover. 16.5 x 23.5 cm. 38.00 Euro Spectral graph theory starts by associating matrices to graphs – notably, the adjacency matrix and the Laplacian matrix. The general theme is then, firstly, to compute or estimate the eigenvalues of such matrices, and secondly, to relate the eigenvalues to structural properties of graphs. As it turns out, the spectral perspective is a powerful tool. Some of its loveliest applications concern facts that are, in principle, purely graph theoretic or combinatorial. This text is an introduction to spectral graph theory, but it could also be seen as an invitation to algebraic graph theory. The first half is devoted to graphs, finite fields, and how they come together. This part provides an appealing motivation and context of the second, spectral, half. The text is enriched by many exercises and their solutions. -
Curriculum Vitae
Curriculum Vitae Name: Helge Holden Position: Professor of mathematics Address: Department of Mathematical Sciences, NTNU Norwegian University of Science and Technology, Alfred Getz’ vei 1, NO–7491 Trondheim, Norway Email/URL: [email protected], www.math.ntnu.no/˜holden, ORCID 0000-0002-8564-0343 Born: September 28, 1956 in Oslo. Norwegian nationality Education: Cand. real., University of Oslo, 1976–81 (major: mathematics). Dr. Philos., University of Oslo, 1985. Positions: Research Assistant, University of Oslo, 1982–86 Associate Professor, University of Trondheim, 1986–1990 Professor, Norwegian University of Science and Technology, 1991– present Longer stays Visiting Member, Courant Institute of Mathematical Sciences, New York University, 8/85–7/86 abroad: Visiting member, California Institute of Technology, 1/89-7/89 Visiting professor, University of Missouri–Columbia, 8/96–7/97 Memberships: Norwegian Academy of Science and Letters (Elected) Royal Norwegian Society of Sciences and Letters (Elected) Norwegian Academy of Technological Sciences (Elected) European Academy of Sciences (Elected) Fellow, American Mathematical Society Fellow, Society for Industrial and Applied Mathematics (SIAM) Norwegian and European Mathematical Society International Association of Mathematical Physics (IAMP) Honors: The King of Norway has been informed in the Council of State about the cand. real. exam 1981, Fulbright Scholarship 1985–86, Lucy B. Moses “Thanks to Scandinavia” Scholarship 1985–86, The Faculty’s award for 2005 for popularization of science. -
Curriculum Vitae of Marta Lewicka
Curriculum Vitae of Marta Lewicka Affiliation University of Pittsburgh, Department of Mathematics, (email) [email protected] 139 University Place, (url) http://www.math.pitt.edu/~lewicka Pittsburgh, PA 15260 Nationality Polish, American Research Interests Mathematical Theory of Elasticity, Calculus of Variations, Differential Geometry, Nonlinear Partial Differential Equations, Systems of Conservation Laws, Reaction-Diffusion Equations, Nonlinear Analysis Appointments 2011 - present Associate Professor with Tenure Department of Mathematics, University of Pittsburgh 2010 - 2011 Associate Professor with Tenure School of Mathematics, University of Minnesota, Minneapolis 2010 - 2011 Assistant Professor - Tenure granted May 2011 Department of Mathematics, Rutgers University, New Brunswick 2005 - 2009 Assistant Professor School of Mathematics, University of Minnesota, Minneapolis 2002 - 2005 L.E. Dickson Instructor, Department of Mathematics, and Research Associate, Department of Astrophysics, University of Chicago 2000 - 2002 Post-doctoral Fellow Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany Long-term visiting positions 05 - 07/2013 Giovanni Prodi Chair in Nonlinear Analysis, University of Wuerzburg, Germany 2009 - 2010 Long term visitor at Institute for Mathematics and Its Applications, Minneapolis (Thematic Year on Complex Fluids and Complex Flows) 2008 - 2009 Visiting Professor, Department of Mathematics, Carnegie Mellon University 05 - 06/2002 EU Post-doctoral Fellow SISSA, Trieste, Italy Education 2000 Ph.D. Mathematical Analysis, Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste, Italy, Thesis: Topics in the Stability of Systems of Conservation Laws. Advisor: A. Bressan. 1998 B.Sc. Computer Science, Polytechnic of Czestochowa, Poland, Faculty of Computer Science. Thesis: Recursive Algorithms in Computer Graphics. Advisor: H. Piech. 1996 M.Sc. and B.Sc. Mathematics, University of Gdansk, Poland, Faculty of Mathematics, Physics and Informatics. -
Alberto Bressan - Curriculum Vitae
Alberto Bressan - Curriculum Vitae PRESENT POSITION Eberly Family Chair Professor of Mathematics, Penn State University, Department of Mathematics, Eberly College of Science, University Park, Pa. 16802, USA. e-mail: [email protected] web page: http://personal.psu.edu/axb62/ Professional Preparation B.S. in Mathematics, Nov. 1978, University of Padova, Italy. Ph.D. in mathematics, Aug. 1982, University of Colorado, Boulder. Appointments Nov. 2003{present Professor Penn State University June 1991{Oct. 2003 Professor S.I.S.S.A., Trieste, Italy Sept. 1986{May 1991 Associate Professor University of Colorado, Boulder Jan. 1982{Aug.1986 Researcher University of Padova, Italy Short term and visiting positions: Sept.1997 Visiting Scholar Mittag-Loeffler Institute, Stockholm June 1998 Visiting Professor City University, Hong Kong Sept. 2000-May 2001 Visiting Scholar N.T.N.U., Trondheim Sept.-Oct. 2002 Visiting Professor Chinese U. and City U., Hong Kong Aug.-Sept. 2008 Visiting Professor Center for Advanced Studies, Oslo Sept.-Oct. 2010 Visiting Professor University of Padova March-April 2011 Visiting Professor Shanghai Jiao Tong University May-June 2012 to 2015 Visiting Professor Shanghai Jiao Tong University Sept. 2017-May 2018 Visiting Professor University of Oxford. HONORS • Plenary speaker at the International Congress of Mathematicians, Beijing, 2002. • \A. Feltrinelli" prize for Mathematics, Mechanics and Applications, Accademia Nazionale dei Lincei, Rome, 2006. • \Analysis of Partial Differential Equations" prize, Society for Industrial and Applied Mathematics, Phoenix, 2007 (with Stefano Bianchini). • \M. B^ocher" prize, American Mathematical Society, San Diego, 2008. 1 2 • \L. Amerio" prize, Accademia di Scienze e Lettere, Istituto Lombardo. Milan, 2010. • Elected member of the Royal Norwegian Society of Sciences and Letters, Trondheim, 2011. -
Stochastic Partial Differential Equations
Universitext Editorial Board (North America): S. Axler K.A. Ribet For other titles published in this series, go to http://www.springer.com/series/223 Helge Holden Bernt Øksendal Jan Ubøe Tusheng Zhang Stochastic Partial Differential Equations A Modeling, White Noise Functional Approach Second Edition 123 Helge Holden Bernt Øksendal Department of Mathematical Sciences Department of Mathematics Norwegian University of Science University of Oslo and Technology 0316 Oslo 7491 Trondheim Blindern Norway Norway [email protected] and Center of Mathematics and Applications University of Oslo 0316 Oslo Norway [email protected] Jan Ubøe Tusheng Zhang Department of Economics University of Manchester Norwegian School of Economics School of Mathematics and Business Administration Manchester M13 9PL 5045 Bergen United Kingdom Norway [email protected] [email protected] Editorial Board: Sheldon Axler, San Francisco State University Vincenzo Capasso, Universit´a degli Studi di Milano Carles Casacuberta, Universitat de Barcelona Angus MacIntyre, Queen Mary, University of London Kenneth Ribet, University of California, Berkeley Claude Sabbah, CNRS, Ecole´ Polytechnique Endre S¨uli, University of Oxford Wojbor Woyczynski, ´ Case Western Reserve University ISBN 978-0-387-89487-4 e-ISBN 978-0-387-89488-1 DOI 10.1007/978-0-387-89488-1 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2009938826 Mathematics Subject Classification (2000): 60H15, 35R60, 60H40, 60J60, 60J75 c First Edition published by Birkh¨auser Boston, 1996 c Second Edition published by Springer Science+Business Media, LLC, 2010 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. -
The Algebro-Geometric Initial Value Problem for the Ablowitz–Ladik Hierarchy
DISCRETE AND CONTINUOUS doi:10.3934/dcds.2010.26.151 DYNAMICAL SYSTEMS Volume 26, Number 1, January 2010 pp. 151–196 THE ALGEBRO-GEOMETRIC INITIAL VALUE PROBLEM FOR THE ABLOWITZ–LADIK HIERARCHY Fritz Gesztesy Department of Mathematics University of Missouri Columbia, MO 65211, USA Helge Holden Department of Mathematical Sciences Norwegian University of Science and Technology NO–7491 Trondheim, Norway Johanna Michor and Gerald Teschl Faculty of Mathematics, University of Vienna Nordbergstrasse 15, 1090 Wien, Austria and International Erwin Schr¨odinger Institute for Mathematical Physics Boltzmanngasse 9, 1090 Wien, Austria Dedicated with great pleasure to Percy Deift on the occasion of his 60th birthday (Communicated by Jerry Bona) Abstract. We discuss the algebro-geometric initial value problem for the Ablowitz–Ladik hierarchy with complex-valued initial data and prove unique solvability globally in time for a set of initial (Dirichlet divisor) data of full measure. To this effect we develop a new algorithm for constructing stationary complex-valued algebro-geometric solutions of the Ablowitz–Ladik hierarchy, which is of independent interest as it solves the inverse algebro-geometric spec- tral problem for general (non-unitary) Ablowitz–Ladik Lax operators, start- ing from a suitably chosen set of initial divisors of full measure. Combined with an appropriate first-order system of differential equations with respect to time (a substitute for the well-known Dubrovin-type equations), this yields the construction of global algebro-geometric solutions of the time-dependent Ablowitz–Ladik hierarchy. The treatment of general (non-unitary) Lax operators associated with gen- eral coefficients for the Ablowitz–Ladik hierarchy poses a variety of difficulties that, to the best of our knowledge, are successfully overcome here for the first time. -
Article “Peter D
What’s New in Mathematics Royal Welcome to Abel Laureate Peter Lax. Fortunately much useful scientific information survived. Norway’s Crown Prince Regent awarded the 2005 Abel More on the NASA website.] Klarreich’s piece is about Prize to Peter D. Lax on May 24. The city of Oslo the way the mathematical analysis of the Solar Sys- and the Norwegian Academy of Science and Letters tem Gravitational Dynamical System (the sum of the prepared for several days of events that honored Lax, gravitational fields of all the objects in the system) led including the prize ceremony, lectures by and in honor to the discovery of extremely fuel-efficient orbits. Ed- of Lax, a banquet at the Akershus Castle, and some ward Belbruno, now at Princeton, pioneered this ap- special events for local teachers and students. proach twenty years ago, and scored its first great suc- cess in 1991 when he rescued the Japanese Hiten space- craft, stranded in Earth orbit without enough fuel, it seemed, to reach the moon. Belbruno showed how to exploit the chaotic nature of the SSGDS to calculate a long-duration, low-cost trajectory which would lead the spacecraft to its destination. Chaotic here does not mean disorderly, but refers to the enormous change in behavior that can be produced by a tiny change in ini- tial conditions near an unstable critical point of the system. The Hiten rescue used the unstable critical points in the Earth-Moon system; there are three of them, known as the Lagrange points L1, L2 and L3. HRH the Crown Prince Regent presented the Abel Prize 2005 to Peter D. -
Preface Fritz (Friedrich) Was Born to Parents Friederike and Franz Gesztesy on Novem- Ber 5, 1953, in Leibnitz, Austria
PREFACE vii A room without books is like a body without a soul. | Attributed to Cicero (106 BC { 43 BC) Preface Fritz (Friedrich) was born to parents Friederike and Franz Gesztesy on Novem- ber 5, 1953, in Leibnitz, Austria. He was raised there together with his younger sister, Doris. Fritz attended the local Realgymnasium from 1964 to 1972 and, soon after the age of twelve, developed his passion for physics and mathematics. From this period onwards, he spent large parts of his free time, on one hand, in his electronics workshop (repairing and reassembling vacuum tube radios and TVs, just before the transistor revolution took place) and, on the other hand, studying B. Baule's seven- volume textbook \Die Mathematik des Naturforschers und Ingenieurs", known as \Der Baule" (developed at the Technical University of Graz, Austria). Given his strong interests in physics and mathematics, the study of Theoretical Physics seemed the most natural choice to him and so he enrolled at the Univer- sity of Graz in the fall of 1972. After studying seven semesters, he presented his dissertation on a topic in quantum field theory in early 1976. His Ph.D. advisors were Heimo Latal (University of Graz) and Ludwig Streit (University of Bielefeld, Germany). At this point he had become disillusioned with Theoretical Physics per se. Strongly influenced by the monograph of T. Kato and the four-volume treatise by M. Reed and B. Simon, and especially under the guiding influence of Ludwig Pittner (University of Graz), Harald Grosse and Walter Thirring (both at the Uni- versity of Vienna), and the four-volume course on Mathematical Physics by the latter, Fritz decided to devote his future energies to areas in Mathematical Physics.