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Dusa Mcduff, Grigory Mikhalkin, Leonid Polterovich, and Catharina Stroppel, Were Funded by MSRI‟S Eisenbud Endowment and by a Grant from the Simons Foundation

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Dusa Mcduff, Grigory Mikhalkin, Leonid Polterovich, and Catharina Stroppel, Were Funded by MSRI‟S Eisenbud Endowment and by a Grant from the Simons Foundation Final Report, 2005–2010 and Annual Progress Report, 2009–2010 on the Mathematical Sciences Research Institute activities supported by NSF DMS grant #0441170 October, 2011 Mathematical Sciences Research Institute Final Report, 2005–2010 and Annual Progress Report, 2009–2010 Preface Brief summary of 2005–2010 activities……………………………………….………………..i 1. Overview of Activities ............................................................................................................... 3 1.1 New Developments ............................................................................................................. 3 1.2 Summary of Demographic Data for 2009-10 Activities ..................................................... 7 1.3 Scientific Programs and their Associated Workshops ........................................................ 9 1.4 Postdoctoral Program supported by the NSF supplemental grant DMS-0936277 ........... 19 1.5 Scientific Activities Directed at Underrepresented Groups in Mathematics ..................... 21 1.6 Summer Graduate Schools (Summer 2009) ..................................................................... 22 1.7 Other Scientific Workshops .............................................................................................. 25 1.8 Educational & Outreach Activities ................................................................................... 26 a. Summer Inst. for the Pro. Dev. of Middle School Teachers on Pre-Algebra ....... 26 b. Bay Area Circle for Teachers ............................................................................... 26 c. Circle on the Road (NSF Supplemental Grant DMS-0937701)............................ 26 d. Critical Issues in Mathematics Education: Reasoning and Sense-Making in the Math Curriculum (NSF Supplemental Grant DMS-0937701).................................. 27 1.9 Programs Consultant List .................................................................................................. 28 2. Program and Workshop Data................................................................................................ 29 2.1 Program Participant List ................................................................................................... 29 2.2 Program Participant Summary .......................................................................................... 33 2.3 Program Participant Demographic Data ........................................................................... 34 2.4 Workshop Participant List ................................................................................................ 37 2.5 Workshop Participant Summary ....................................................................................... 37 2.6 Workshop Participant Demographic Data ........................................................................ 38 2.7 Program Publication List .................................................................................................. 41 2.8 Program Publication Work-In-Progress List .................................................................... 45 3. Postdoctoral Program ............................................................................................................. 58 3.1 Description of Activities ................................................................................................... 58 3.2 Postdoctoral Fellow Placement List.................................................................................. 73 3.3 Postdoctoral Fellow Participant Summary........................................................................ 74 3.4 Postdoctoral Fellow Demographic Data ........................................................................... 75 3.5 Postdoctoral Research Member Placement List ............................................................... 77 3.6 Postdoctoral Research Member Summary ........................................................................ 78 4. Graduate Program .................................................................................................................. 78 4.1 Summer Graduate Schools (SGS) ..................................................................................... 78 4.2 Summer Graduate School Data ......................................................................................... 79 4.3 Program Associates ........................................................................................................... 87 4.4 Program Associates Data .................................................................................................. 88 4.5 Graduate Student (attended 2009-10 workshops) List...................................................... 92 4.6 Graduate Student (attended 2009-10 workshops, excluding SGS) Data .......................... 92 5. Undergraduate Program (MSRI-UP) ................................................................................... 93 5.1 Description of Undergraduate Program ............................................................................ 93 5.2 MSRI-UP Data .................................................................................................................... 96 6. Appendix – Final Reports .................................................................................................... 97 Program Reports No. 255: Tropical Geometry No. 257: Symplectic and Contact Geometry and Topology No. 258: Homology Theories of Knots and Links No. 263: Complementary Program No. 268: Postdoctoral Program supported by the NSF Supplemental Grant DMS-0936277 Workshop Reports No. 480: Connections for Women: Tropical Geometry No. 481: Introductory Workshop: Tropical Geometry No. 482: Tropical Geometry in Combinatorics and Algebra No. 483: Tropical Structures in Geometry and Physics No. 474: Algebraic Structures in the Theory of Holomorphic Curves No. 475: Symplectic and Contact Topology and Dynamics: Puzzles and Horizons No. 478: Connections for Women: Symplectic and Contact Geometry and Topology No. 479: Introductory Workshop: Symplectic and Contact Geometry and Topology No. 521: Sym. and Poisson Geo. in Interaction with Algebra, Analysis and Topology No. 548: Symplectic Geometry, Noncommutative Geometry and Physics No. 510: Connections for Women: Homology Theories of Knots and Links No. 511: Introductory Workshop: Homology Theories of Knots and Links No. 512: Research Workshop: Homology Theories of Knots and Links No. 522: Hot Topics: Black Holes in Relativity No. 569: Critical Issues in Mathematics Education.: Reasoning and Sense-Making in the Math Curriculum No. 505: Summer Institute for the Professional Development of Middle School Teachers No. 531: MSRI-UP 2010: Elliptic Curves and Applications Summer Graduate School Reports No. 455: Toric Varieties No. 477: Symplectic and Contact Geometry and Topology No. 485: Random Matrix Theory No. 486: Inverse Problems No. 487: IAS/PCMI Summer Program: The Arithmetic of L-functions No. 494: Computational Theory of Real Reductive Groups (Salt Lake City) Summary of Scientific Activities at MSRI between 2005 and 2010 Here is a brief summary of the scientific activities that were held at MSRI during the 5-year period of the DMS grant #0441170. For each of the activities, details can be found in the annual reports. Note that the annual report for the last year of the grant, 2009-2010, follows this summary. Programmatic Activities A major program at MSRI, which runs for either a single semester or an academic year, brings 30 to 45 long-term1 visitors to the Institute at a time, ranging from advanced graduate students and postdocs to the leaders in each field. Many more come for stays of a week or two, often to participate in one or more of the associated programmatic workshops (see below). Normally, the Institute runs two such programs simultaneously (a total of 70 to 90 long-term visitors in residence at a time), often with the goal of fostering interactions between the two. Here are the programs carried out during the 5-year period of this grant, each program title being followed by a list of the members of its organizing committee. Much more detail on these programs, including synopses, schedules, and participant lists can be found on our web site and in the annual reports. • Fall 2005: Nonlinear Dispersive Equations Carlos Kenig, Sergiu Klainerman, Christophe Sogge, Gigliola Staffilani, Daniel Tataru • Fall 2005: Nonlinear Elliptic Equations and Its Applications Xavier Cabr´e,Luis Caffarelli, L. Craig Evans, Cristian Guti´errez,Lihe Wang, Paul Yang • Spring 2006: New Topological Structures in Physics Mina Aganagic, Ralph Cohen, Petr Horava, Albrecht Klemm, Jack Morava, Hiraku Nakajima, Yongbin Ruan • Spring 2006: Rational and Integral Points on Higher-Dimensional Varieties Fedor Bogomolov, Jean-Louis Colliot-Th´el`ene,Bjorn Poonen, Alice Silverberg, Yuri Tschinkel • Fall 2006: Computational Applications of Algebraic Topology Gunnar Carlsson, Persi Diaco- nis, Susan Holmes, Rick Jardine, G¨unter Ziegler • Fall 2006 and Spring 2007: Geometric Evolution Equations and Related Topics Bennett Chow, Panagiota Daskalopoulos, Gerhardt Huisken, Peter Li, Lei Ni, Gang Tian • Spring 2007: Dynamical Systems Christopher Jones, Jonathan Mattingly, Igor Mezic, Andrew Stuart, Lai-Sang Young • Fall 2007: Geometric Group Theory Mladen Bestvina, Jon McCammond, Michah Sageev, Karen Vogtmann • Fall 2007: Teichm¨ullerTheory and Kleinian Groups Jeffrey Brock, Richard Canary, Howard Masur, Maryam Mirzakhani, Alan Reid • Spring
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