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Report for the Academic Year 1995
Institute /or ADVANCED STUDY REPORT FOR THE ACADEMIC YEAR 1994 - 95 PRINCETON NEW JERSEY Institute /or ADVANCED STUDY REPORT FOR THE ACADEMIC YEAR 1 994 - 95 OLDEN LANE PRINCETON • NEW JERSEY 08540-0631 609-734-8000 609-924-8399 (Fax) Extract from the letter addressed by the Founders to the Institute's Trustees, dated June 6, 1930. Newark, New jersey. It is fundamental in our purpose, and our express desire, that in the appointments to the staff and faculty, as well as in the admission of workers and students, no account shall be taken, directly or indirectly, of race, religion, or sex. We feel strongly that the spirit characteristic of America at its noblest, above all the pursuit of higher learning, cannot admit of any conditions as to personnel other than those designed to promote the objects for which this institution is established, and particularly with no regard whatever to accidents of race, creed, or sex. TABLE OF CONTENTS 4 BACKGROUND AND PURPOSE 5 • FOUNDERS, TRUSTEES AND OFFICERS OF THE BOARD AND OF THE CORPORATION 8 • ADMINISTRATION 11 REPORT OF THE CHAIRMAN 15 REPORT OF THE DIRECTOR 23 • ACKNOWLEDGMENTS 27 • REPORT OF THE SCHOOL OF HISTORICAL STUDIES ACADEMIC ACTIVITIES MEMBERS, VISITORS AND RESEARCH STAFF 36 • REPORT OF THE SCHOOL OF MATHEMATICS ACADEMIC ACTIVITIES MEMBERS AND VISITORS 42 • REPORT OF THE SCHOOL OF NATURAL SCIENCES ACADEMIC ACTIVITIES MEMBERS AND VISITORS 50 • REPORT OF THE SCHOOL OF SOCIAL SCIENCE ACADEMIC ACTIVITIES MEMBERS, VISITORS AND RESEARCH STAFF 55 • REPORT OF THE INSTITUTE LIBRARIES 57 • RECORD OF INSTITUTE EVENTS IN THE ACADEMIC YEAR 1994-95 85 • INDEPENDENT AUDITORS' REPORT INSTITUTE FOR ADVANCED STUDY: BACKGROUND AND PURPOSE The Institute for Advanced Study is an independent, nonprofit institution devoted to the encouragement of learning and scholarship. -
View Front and Back Matter from The
VOLUME 20 NUMBER 1 JANUARY 2007 J OOUF THE RNAL A M E R I C AN M A T H E M A T I C A L S O C I ET Y EDITORS Ingrid Daubechies Robert Lazarsfeld John W. Morgan Andrei Okounkov Terence Tao ASSOCIATE EDITORS Francis Bonahon Robert L. Bryant Weinan E Pavel I. Etingof Mark Goresky Alexander S. Kechris Robert Edward Kottwitz Peter Kronheimer Haynes R. Miller Andrew M. Odlyzko Bjorn Poonen Victor S. Reiner Oded Schramm Richard L. Taylor S. R. S. Varadhan Avi Wigderson Lai-Sang Young Shou-Wu Zhang PROVIDENCE, RHODE ISLAND USA ISSN 0894-0347 Available electronically at www.ams.org/jams/ Journal of the American Mathematical Society This journal is devoted to research articles of the highest quality in all areas of pure and applied mathematics. Submission information. See Information for Authors at the end of this issue. Publisher Item Identifier. The Publisher Item Identifier (PII) appears at the top of the first page of each article published in this journal. This alphanumeric string of characters uniquely identifies each article and can be used for future cataloging, searching, and electronic retrieval. Postings to the AMS website. Articles are posted to the AMS website individually after proof is returned from authors and before appearing in an issue. Subscription information. The Journal of the American Mathematical Society is published quarterly. Beginning January 1996 the Journal of the American Mathemati- cal Society is accessible from www.ams.org/journals/. Subscription prices for Volume 20 (2007) are as follows: for paper delivery, US$287 list, US$230 institutional member, US$258 corporate member, US$172 individual member; for electronic delivery, US$258 list, US$206 institutional member, US$232 corporate member, US$155 individual mem- ber. -
Mathematics People, Volume 52, Number 6
Mathematics People Fourier-Mukai transform. He is also working on under- 2005–2006 AMS Centennial standing the structure of cones of divisors on smooth Fellowships Awarded projective varieties by analyzing asymptotic invariants as- sociated to base loci of linear series. He plans to use his The AMS has awarded two Centennial Fellowships for Centennial Fellowship at the University of Michigan and 2005–2006. The recipients are YUAN-PIN LEE of the Univer- the University of Rome, as well as at the University of sity of Utah and MIHNEA POPA of Harvard University. The Chicago. amount of each fellowship is $62,000. The Centennial Please note: Information about the competition for the 2006–2007 AMS Centennial Fellowships will be published in the “Mathematics Opportunities” section of an upcom- ing issue of the Notices. —Allyn Jackson Cerf and Kahn Receive Turing Award The Association for Computing Machinery (ACM) has named VINTON G. CERF and ROBERT E. KAHN the winners of the 2004 A. M. Turing Award, considered the “Nobel Prize of Computing”, for pioneering work on the design and Yuan-Pin Lee Mihnea Popa implementation of the Internet’s basic communications protocols. Cerf is the senior vice president for technology Fellows also receive an expense allowance of $3,000 and strategy at MCI. Kahn is chairman, chief executive officer, a complimentary Society membership for one year. and president of the Corporation for National Research Initiatives (CNRI), a not-for-profit organization for research Yuan-Pin Lee in the public interest on strategic development of Yuan-Pin Lee received his Ph.D. in 1999 from the University network-based information technologies. -
A Measure Theoretic Approach to Higher Codimension Mean
ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA Classe di Scienze LUIGI AMBROSIO HALIL METE SONER A measure theoretic approach to higher codimension mean curvature flows Annali della Scuola Normale Superiore di Pisa, Classe di Scienze 4e série, tome 25, no 1-2 (1997), p. 27-49 <http://www.numdam.org/item?id=ASNSP_1997_4_25_1-2_27_0> © Scuola Normale Superiore, Pisa, 1997, tous droits réservés. L’accès aux archives de la revue « Annali della Scuola Normale Superiore di Pisa, Classe di Scienze » (http://www.sns.it/it/edizioni/riviste/annaliscienze/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/conditions). Toute utilisa- tion commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright. Article numérisé dans le cadre du programme Numérisation de documents anciens mathématiques http://www.numdam.org/ Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) Vol. XXV (1997), pp. 27-4927 A Measure Theoretic Approach to Higher Codimension Mean Curvature Flows LUIGI AMBROSIO - HALIL METE SONER* Abstract. We develop a generalization of the theory of varifolds and use it in the asymptotic study of a sequence of Ginzburg-Landau systems. These equations are reaction-diffusion type, nonlinear partial differential equations, and the main object of our study is the renormalized energy related to these systems. Under suitable density assumptions, we show convergence to a Brakke flow by mean curvature. The proof is based on a suitable generalization of the theory of varifolds and on the analysis of the gradient Young measures associated to the solutions of the system. -
Ankara Workshops, April 2008
Scientific Workshops in Honour of Professor Hayri Körezlio ğlu Report about Workshop “Recent Developments in Financial Mathematics and Stochastic Calculus” April 25-26, 2008 and the Pre-Workshop Seminar Series Workshop “The Simulation Tool Box for the Financial Engineer” April 23-24, 2008 by Gerhard-Wilhelm Weber, Institute of Applied Mathematics, Middle East Technical University, Ankara, Turkey, for correspondence: [email protected] On June 26, 2007, our dear teacher and friend Prof. Dr. Hayri Körezlio ğlu passed away at the age of 77. Professor Körezlio ğlu was the founder and chair of the Department of Financial Mathematics at the Institute of Applied Mathematics (IAM) of the Middle East Technical University (METU). This institute, established in 2002, is the first of its kind in Turkey; it contains three modern departments (please visit http://www3.iam.metu.edu.tr/ ). That Prof. Dr. Hayri Körezlio ğlu is no longer among us means a great loss for everyone at IAM. Workshop “Recent Developments in Financial Mathematics and Stochastic Calculus” Dates: April 25-26, 2008 Places: Cultural and Convention Center (CCC) and Department of Mathematics, METU http://korezlioglu.iam.metu.edu.tr/ IAM has conducted the special workshop “Workshop on Recent Developments in Financial Mathematics and Stochastic Calculus” in memory of Professor Hayri Körezlio ğlu. This workshop succeeded the Pre-Workshop Seminar Series “The Simulation Tool Box for the Financial Engineer”. Both the main workshop and its satellite event before can be regarded as a joint and premium event. (Please visit Appendix I for closer information about the pre- workshop seminar series.) IAM shared moments of science and friendship in Professor Körezlio ğlu’s honour, in areas of applied mathematics which he worked in as a researcher, educator and as a pioneer in Turkey. -
Research Collection
Research Collection Doctoral Thesis Stochastic motion planning for diffusions & fault detection and isolation for large scale nonlinear systems Author(s): Mohajerin Esfahani, Peyman Publication Date: 2014-01 Permanent Link: https://doi.org/10.3929/ethz-a-010163304 Rights / License: In Copyright - Non-Commercial Use Permitted This page was generated automatically upon download from the ETH Zurich Research Collection. For more information please consult the Terms of use. ETH Library Dissertation ETH Zurich No. 21725 Stochastic Motion Planning for Diffusions & Fault Detection and Isolation for Large Scale Nonlinear Systems A dissertation submitted to ETH Zurich for the degree of Doctor of Sciences presented by Peyman Mohajerin Esfahani M.Sc., Sharif University of Technology, Tehran born 21.03.1982 in Tehran citizen of Iran accepted on the recommendation of Prof. Dr. John Lygeros, examiner Prof. Dr. Halil Mete Soner, co-examiner Prof. Dr. Karl Henrik Johansson, co-examiner January, 2014 c January 2014 Peyman Mohajerin Esfahani All Rights Reserved ISBN 978-3-906031-58-3 To my parents, Farahnaz and Hasan ... and to my wife, Farzaneh Acknowledgment When I started to write this part, I was going back and forth through countless great memories during all these years in my PhD at the Automatic Control Lab. This was indeed a unique opportunity to see many experts and leaders of different areas, and being privileged to work closely with some of them. First and foremost, I would like to express my deepest gratitude to my advisor and men- tor, Professor John Lygeros, for giving me such a wonderful opportunity and continuously supporting me with his vast knowledge and patience. -
Recent Advances in Applied and Computational Mathematics: ICACM-IAM-METU✩
Journal of Computational and Applied Mathematics 259 (2014) 327–328 Contents lists available at ScienceDirect Journal of Computational and Applied Mathematics journal homepage: www.elsevier.com/locate/cam Editorial Recent Advances in Applied and Computational Mathematics: ICACM-IAM-METUI This special issue has been realized in connection with the International Conference on Applied and Computational Mathematics (ICACM, http://icacm.iam.metu.edu.tr/) that was held in Ankara, Turkey, October 3–6, 2012. ICACM was organized to celebrate the 10th anniversary of the foundation of Institute of Applied Mathematics (IAM) at Middle East Technical University (METU). The conference attracted more than 300 participants. Of those, about 210 were registered and they were from 29 different countries. In addition to the scientific program, a social program was arranged for the participants which included a city tour, a guided visit to Anıtkabir (Mausoleum of Atatürk) and the Museum of Anatolian Civilizations, a gala dinner, and a show of Folk Dance Ensemble. The aim of ICACM was to highlight the recent advances in applied and computational mathematics as well as to demon- strate their applicability in science, engineering, and industry. In addition to the traditional and strong focus in applied and computational mathematics, the special emphasis was given to information security and cryptology, financial mathematics, ac- tuarial sciences, scientific computing, and their applications. The conference opened with the plenary talk ``Adaptive Multilevel Finite Methods in Virtual Medicine'' given by Peter Deuflhard (Germany). The invited speakers were Ersan Akyıldız (Turkey), Marc Goovaerts (Belgium), Gary McGuire (Ireland), Florian Heß (Germany), Monique Jeanblanc (France), Ralf Korn (Ger- many), Karl Kunisch (Austria), Bernt Øksendal (Norway), Krzysztof M. -
Brooke Ullery Updated July 2, 2021
Brooke Ullery Updated July 2, 2021 Contact Department of Mathematics [email protected] Information Emory University http://math.emory.edu/~bullery Atlanta, GA 30322 Employment Emory University Assistant professor, August 2020{Present Harvard University Benjamin Peirce Postdoctoral Fellow and NSF Postdoctoral Fellow, July 2016{June 2020 Mentor: Joe Harris University of Utah NSF Postdoctoral Fellow, July 2015{June 2016 Mentor: Aaron Bertram Education University of Michigan - Ann Arbor Ph.D. in Mathematics, May 2015 Advisors: Robert Lazarsfeld, Karen Smith University of Chicago B.A. in Mathematics, June 2010 Papers • A Cayley-Bacharach theorem and plane configurations, with J. Levinson. Preprint. arXiv:2102.08525. • The gonality of complete intersection curves, with J. Hotchkiss and C. Lau. J. Algebra (2020), 579{608. • The degree of irrationality of hypersurfaces in various Fano varieties, with D. Sta- pleton. Manuscripta math. (2019), 1432{1785. • Measures of irrationality for hypersurfaces of large degree, with F. Bastianelli, P. De Poi, L. Ein, and R. Lazarsfeld. Compos. Math. 153 (2017), no. 11, 2368{2393. • On the normality of secant varieties. Adv. Math. 288 (2016), 631{647. • Designer ideals with high Castelnuovo-Mumford regularity. Math. Res. Lett. 21 (2014), no. 5, 1215{1225. Fellowships & • NSF Mathematical Sciences Postdoctoral Research Fellowship, 2015{2018 Honors • Harvard Excellence in Teaching Award, 2018, 2019. • Outstanding Graduate Student Instructor Award, University of Michigan (University- wide competition, 20 awardees), March 2015. • American Mathematical Society Graduate Student Travel Grant, September 2014. • Rackham Conference Travel Grant, University of Michigan, November 2013. • NSF RTG fellowship, University of Michigan, Winter 2013, Fall 2013, Winter 2014, Winter 2015. • Honors in mathematics, University of Chicago, June 2010. -
Phd Program in Finance : SFI Phd Program in Finance
Swiss Finance Institute PhD Program in Finance : SFI PhD Program in Finance : Swiss Finance Institute PhD Program in Finance The Swiss Finance Institute PhD in Finance The program’s curriculum is structured in is one of the largest and most competitive two phases: programs in the world • The first features specific PhD level courses The program promotes the pursuit of academic covering advanced financial theory and financial excellence by providing an intellectual environment research techniques. and a curriculum comparable with the top PhD • The second is devoted to the writing of a doctoral programs in the world. The PhD program operates at thesis. Swiss Finance Institute doctoral students the three Swiss Finance Institute campuses: Léman also participate in international academic (Ecole Polytechnique Fédérale de Lausanne, the activities and attend advanced courses. University of Geneva, and the University of Lausanne), Lugano (Università della Svizzera italiana), and Zurich (the University of Zurich). The program has three distinct features: • A full offering of PhD level courses in finance. • An international faculty dedicated to research at the highest level and covering all aspects of finance. • A large international student body. www.sfi.ch/phd "The SFI PhD program provided me with an excellent basis to start my academic career. The course work gave me a thorough overview of the field of finance and equipped me with the necessary tools to start my own research. During the research phase, my supervisors gave me the support I needed and the interaction, with the SFI community of professors and students from the various centers, truly enriched my experience." Elisabeth Pröhl, SFI PhD Graduate ’18, Assistant Professor of Economics, University of Amsterdam 2 : SFI PhD Program in Finance : PhD Curriculum PhD Curriculum These courses can often be integrated into the course The curriculum of Swiss Finance Institute’s PhD program with the PhD coordinator’s approval. -
2001 Newsletter
ContinuUM Newsletter of the Department of Mathematics at the University of Michigan Summer 2001 On July 31, 2001, Al Taylor stepped down as department Chair after six successful years in the postion. Trevor Wooley has been selected as the new Chair. Due to Trevor’s scheduled sabbatical leave for the 2001-02 academic year, Alejandro Uribe, the current Associate Chair for Academic Affairs, will serve as the interim chair for the coming year. You should hear about Alejandro’s experience as Chair in the next ContinuUM. In the two “Notes from the Chair” columns, Al reflects on his chairmanship, and Trevor lays some plans for the future of the department. Reflections on Six The Future of the Years as Chair Mathematics Department This is a piece I’ve looked forward to The Mathematics Department at writing for some seven years now, my fi- Michigan has experienced extensive nal one for the “Notes from the Chair” change in virtually all aspects of its mis- column. At the end of July, I’ll have fin- sion over the past several years, and we ished my two terms as Chair and am ex- are fortunate indeed that, through Al cited about returning to my normal career Taylor’s commitment and balanced lead- of teaching and research. Alejandro ership through six of the last seven years, Uribe will assume the chairmanship next almost all of these developments have year, filling in for Trevor Wooley, who been for the good. As Al begins some has agreed to serve a 3-year term as Chair, well-deserved relief from administrative the 2002-2005 academic years, after he duties, it seems an opportune moment to returns from a year’s leave in Cambridge highlight some of the developments and and Bonn. -
Contact Loci in Arc Spaces
Compositio Math. 140 (2004) 1229–1244 DOI: 10.1112/S0010437X04000429 Contact loci in arc spaces Lawrence Ein, Robert Lazarsfeld and Mircea Mustat¸ˇa Abstract We give a geometric description of the loci in the arc space defined by order of contact with a given subscheme, using the resolution of singularities. This induces an identification of the valuations defined by cylinders in the arc space with divisorial valuations. In particular, we recover the description of invariants coming from the resolution of singularities in terms of arcs and jets. Introduction The purpose of this paper is to study the loci of arcs on a smooth variety defined by order of contact with a fixed subscheme. Specifically, we establish a Nash-type correspondence showing that the irreducible components of these loci arise from (intersections of) exceptional divisors in a resolution of singularities. We show also that these loci account for all the valuations determined by irreducible cylinders in the arc space. Along the way, we recover in an elementary fashion (without using motivic integration) results of the third author from [Mus01]and[Mus02] relating singularities to arc spaces. Moreover, we extend these results to give a jet-theoretic interpretation of multiplier ideals. Let X be a smooth complex variety of dimension d.Givenm 0wedenoteby m+1 Xm =Hom(SpecC[t]/(t ),X) the space of mth order arcs on X.ThusXm is a smooth variety of dimension d(m +1),andthe d truncation morphism τm+1,m : Xm+1 −→ Xm realizes each of these spaces as a C -bundle over the previous one. -
A Vanishing Theoremfor Weight-One Syzygies
Algebra & Number Theory Volume 10 2016 No. 9 A vanishing theorem for weight-one syzygies Lawrence Ein, Robert Lazarsfeld and David Yang msp ALGEBRA AND NUMBER THEORY 10:9 (2016) msp dx.doi.org/10.2140/ant.2016.10.1965 A vanishing theorem for weight-one syzygies Lawrence Ein, Robert Lazarsfeld and David Yang We give a criterion for the vanishing of the weight-one syzygies associated to a line bundle B in a sufficiently positive embedding of a smooth complex projective variety of arbitrary dimension. Introduction Inspired by the methods of Voisin[2002; 2005], Ein and Lazarsfeld[2015] recently proved the gonality conjecture of[Green and Lazarsfeld 1986], asserting that one can read off the gonality of an algebraic curve C from the syzygies of its ideal in any one embedding of sufficiently large degree. They deduced this as a special case of a vanishing theorem for the asymptotic syzygies associated to an arbitrary line bundle B on C, and conjectured that an analogous statement should hold on a smooth projective variety of any dimension. The purpose of this note is to prove the conjecture in question. Turning to details, let X be a smooth complex projective variety of dimension n, and set Ld D d A C P; where A is ample and P is arbitrary. We always assume that d is sufficiently large so that Ld is very ample, defining an embedding 0 rd X ⊆ PH .X; Ld / D P : Given an arbitrary line bundle B on X, we wish to study the weight-one syzygies 0 of B with respect to Ld for d 0.