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Mathematical Sciences Research Institute Annual Report for 2010–11

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Mathematical Sciences Research Institute Annual Report for 2010–11 Annual Progress Report on the Mathematical Sciences Research Institute 2010–11 Activities supported by NSF Grant DMS–0932078 May, 2012 Mathematical Sciences Research Institute Annual Report for 2010–11 1. Overview of Activities ............................................................................................................... 1 1.1 New Developments ............................................................................................................. 1 1.2 Summary of Demographic Data for 2010–11 Activities .................................................... 5 1.3 Scientific Programs and their Associated Workshops ........................................................ 7 1.4 Scientific Activities Directed at Underrepresented Groups in Mathematics ...................... 9 1.5 Summer Graduate Schools (Summer 2010) ....................................................................... 9 1.6 Other Scientific Workshops .............................................................................................. 10 1.7 Educational & Outreach Activities ................................................................................... 11 a. Circle on the Road Spring 2011 (NSF Supplemental Grant DMS-0937701) b. Critical Issues in Mathematics Education Spring 2011: Math Education of Teachers (NSF Supplemental Grant DMS-0937701) 1.8 Programs Consultant List .................................................................................................. 12 2. Program and Workshop Data................................................................................................ 13 2.1 Program Participant List ................................................................................................... 13 2.2 Program Participant Summary .......................................................................................... 13 2.3 Program Participant Demographic Data ........................................................................... 14 2.4 Workshop Participant List ................................................................................................ 16 2.5 Workshop Participant Summary ....................................................................................... 17 2.6 Workshop Participant Demographic Data ........................................................................ 18 2.7 Program Publication List .................................................................................................. 21 2.8 Program Publication Work-In-Progress List .................................................................... 26 3. Postdoctoral Program ............................................................................................................. 27 3.1 Description of Activities ................................................................................................... 27 3.2 Postdoctoral Fellow Placement List.................................................................................. 39 3.3 Postdoctoral Fellow Participant Summary........................................................................ 40 3.4 Postdoctoral Fellow Demographic Data ........................................................................... 41 3.5 Postdoctoral Research Member Placement List ............................................................... 44 3.6 Postdoctoral Research Member Summary ........................................................................ 44 4. Graduate Program .................................................................................................................. 44 4.1 Summer Graduate Schools (SGS) ..................................................................................... 44 4.2 Summer Graduate School Data ......................................................................................... 46 4.3 Program Associates ........................................................................................................... 50 4.4 Program Associates Data .................................................................................................. 51 4.5 Graduate Student List ....................................................................................................... 54 4.6 Graduate Student Data ...................................................................................................... 54 5. Undergraduate Program (MSRI-UP) ................................................................................... 55 5.1 Description of Undergraduate Program ............................................................................ 55 5.2 MSRI-UP Data .................................................................................................................. 57 6. Brief Report of Activities in 2011–12 .................................................................................. 59 7. Appendix – Final Reports .................................................................................................... 78 Program Reports No. 259: Random Matrix Theory, Interacting Particle Systems and Integrable Systems No. 260: Inverse Problems and Applications No. 261: Free Boundary Problems, Theory and Applications No. 262: Arithmetic Statistics No. 266: Complementary Program 2010–11 Workshop Reports No. 508: Random Matrix Theory and Its Applications I No. 509: Connections for Women: An Introduction to Random Matrices No. 517: Random Matrix Theory and Its Applications II No. 513: Connections for Women: Inverse Problems and Applications No. 514: Introductory Workshop on Inverse Problems and Applications No. 540: Inverse Problems: Theory and Applications No. 562: Connections for Women: Free Boundary Problems, Theory and Applications No. 563: Introductory Workshop: Free Boundary Problems, Theory, and Applications No. 564: Free Boundary Problems, Theory, and Applications No. 565: Connections for Women: Arithmetic Statistics No. 566: Introductory Workshop: Arithmetic Statistics No. 567: Arithmetic Statistics No. 584: Hot Topics: Kervaire Invariant No. 575: SIAM/MSRI ws on Hybrid Methodologies for Symbolic-Numeric Computation No. 587: Workshop on Mathematics Journals No. 601: Circle on the Road Spring 2011 No. 596: Critical Issues in Math Education 2011: Mathematical Education of Teachers Summer Graduate School Reports No. 580: Summer School on Operator Algebras and Noncommutative Geometry No. 556: Sage Days 22: Elliptic Curves No. 550: Probability Workshop: 2010 PIMS Summer School in Probability No. 552: IAS/PCMI Research Summer School 2010: Image Processing No. 551: Mathematics of Climate Change No. 553: Algebraic, Geometric, and Combinatorial Methods for Optimization 1. Overview of Activities This annual report covers MSRI projects and activities that occurred during the first year of the NSF core grant DMS–0932078. 1.1 New Developments This year, 2010–11, was a busy and exciting year at MSRI. We held four (4) one-semester programs: Random Matrix Theory, Interacting Particle Systems and Integrable Systems, Inverse Problems and Applications, Free Boundary Problems, Theory and Applications, and Arithmetic Statistics. It is fair to say that all programs were very popular and their workshops heavily attended. We also had a number of exciting additional workshops, such as Kervaire Invariant One (October 2010), MSRI’s annual Hot Topics workshop. In April 2009, Hill-Hopkins- Ravenel announced a solution to the Kervaire Invariant One problem. This resolved an almost 50 year old problem in topology, and their techniques and approach were quite different from anything previously attempted: They related the homotopical formulation due to Browder to equivariant homotopy computations. While it is one of the oldest branches of algebraic topology, equivariant homotopy theory (homotopy theory done in spaces endowed with an action of a fixed group G) is also one of the least understood. Many computations viewed as routine or elementary are simply unknown in the equivariant case, even for simple groups. One of the primary goals of the workshop was to make this rich branch of algebraic topology more accessible to topologists. Some of the highlights of the workshop were the talks given by Hill, Hopkins, and Ravenel themselves. A succinct and very interesting report can be found in the Appendix. All programs had stellar researchers. Four (4) of them, Barry Mazur, Henryk Iwaniec, Percy Deift, and Gunter Uhlmann, were generously funded by the Clay Mathematics Institute ($100,000). Deift had just been elected (2009) to the National Academy of Sciences (NAS). Iwaniec, a member of the NAS since 2006, received the 2011 Leroy P. Steel prize for Mathematical Exposition. Mazur, a long time member of the NAS (1982) and of the American Philosophical Society (2001), had been a recipient of the Veblen (1965), Cole (1982), Chauvenet (1994) and Steel (1999) Prizes. Uhlman, a recently (2009) elected Fellow of the American Academy of Arts and Sciences, won both the Bocher and the Kleinman Prizes in 2011. Another fifteen (15) researchers, Manjul Bhargava, Henri Cohen, Jon Keating, Mikhail Feldman, Charles Elliott, Juan Luis Vazquez, Pierre van Moerbeke, Gerard Ben Arous, Herbert Spohn, Kari Astala, Margeret Cheney, Cristopher Croke, Graeme Milton, Plamen Stefanov, and Henrik Shahgholian were funded by MSRI’s Eisenbud Endowment and by a grant from the Simons Foundation. Each of the programs had striking results to report. In fall 2010, the experimental work of Takeuchi and Sano, which demonstrated, for the first time, the occurrence of
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