Institute for Computational and Experimental Research in Mathematics Annual Report August 15, 2010 – July 31, 2011 Jill Pipher, Director Jeffrey Brock, Associate Director Jan Hesthaven, Associate Director Jeff Hoffstein, Consulting Associate Director Bjorn Sandstede, Associate Director Table of Contents LETTER FROM THE DIRECTOR ..........................................................................................................5 MISSION.....................................................................................................................................................9 CORE PROGRAMS AND EVENTS .........................................................................................................9 PARTICIPANT SUMMARIES BY PROGRAM TYPE....................................................................... 10 TOTAL PARTICIPANTS AND UNDERREPRESENTED GROUPS ..................................................................10 PARTICIPANT CITIZENSHIP ...............................................................................................................................10 POSTDOCS: TOTAL PARTICIPANTS AND UNDERREPRESENTED GROUPS...........................................11 POSTDOCS: CITIZENSHIP....................................................................................................................................11 GRADUATE STUDENTS: TOTAL PARTICIPANTS AND UNDERREPRESENTED GROUPS ...................12 GRADUATE STUDENTS: CITIZENSHIP ............................................................................................................12 UNDERGRADUATE STUDENTS: TOTAL PARTICIPANTS AND UNDERREPRESENTED GROUPS......12 UNDERGRADUATE STUDENTS: CITIZENSHIP ..............................................................................................13 ADDITIONAL PARTICIPANT DATA..................................................................................................................13 Length of Visits ....................................................................................................................................................15 US Participants by Region:.............................................................................................................................15 Foreign Participants by Region:...................................................................................................................16 Gender: ...................................................................................................................................................................16 Primary Field of Interest:................................................................................................................................17 Academic Breakdown: ......................................................................................................................................17 SEMESTER PROGRAMS...................................................................................................................... 17 SEMESTER PROGRAM PROCESS.......................................................................................................................18 1. Solicitation of Proposals: ...........................................................................................................................18 2. Proposal Selection: .......................................................................................................................................18 3. Selection of Long-term Visitors/Research Fellows...........................................................................18 4. Offers to Research Fellows........................................................................................................................18 5. Semester Workshops .....................................................................................................................................19 6. Application Process ......................................................................................................................................19 7. Applicant Selection........................................................................................................................................19 FINANCIAL DECISIONS FOR SEMESTER PROGRAMS .................................................................................19 OPENING, “MIDDLE” AND CLOSING EVENTS .............................................................................................19 UPCOMING SEMESTER PROGRAMS ............................................................................................... 20 FALL SEMESTER 2011: KINETIC THEORY: ANALYSIS AND COMPUTATION.....................................20 Workshop 1: Vlasov Models in Kinetic Theory.......................................................................................21 Workshop 2: Applications of Kinetic Theory and Computation.......................................................22 Workshop 3: Boltzmann Models in Kinetic Theory...............................................................................23 Fall 2011 Participants by Length of Stay..................................................................................................24 SPRING SEMESTER 2012: COMPLEX AND ARITHMETIC DYNAMICS ...................................................28 Workshop 1: Complex and p-adic Dynamics...........................................................................................29 Workshop 2: Global Arithmetic Dynamics ...............................................................................................29 Workshop 3: Moduli Spaces Associated to Dynamical Systems.......................................................30 Spring Participants by Length of Stay ........................................................................................................30 FALL SEMESTER 2012: COMPUTATIONAL CHALLENGES IN PROBABILITY ......................................31 Workshop 1: Bayesian Nonparametrics.....................................................................................................32 2 Workshop 2: Uncertainty Quantification ..................................................................................................32 Workshop 3: Monte Carlo Methods in the Physical and Biological Sciences............................33 SPRING SEMESTER 2013: AUTOMORPHIC FORMS, COMBINATORIAL REPRESENTATION THEORY AND MULTIPLE DIRICHLET SERIES................................................................................................................33 Workshop 1: Sage Days: Multiple Dirichlet Series, Combinatorics, and Representation Theory......................................................................................................................................................................34 Workshop 2: Crystals and Whittaker Functions.....................................................................................34 Workshop 3: Combinatorics, Multiple Dirichlet Series and Analytic Number Theory...........34 TOPICAL WORKSHOPS ...................................................................................................................... 34 1. Solicitation of Topical Workshop Proposals:.....................................................................................34 2. Proposal Selection: .......................................................................................................................................35 3. Recommendation of Speakers....................................................................................................................35 4. Invitations to Speakers.................................................................................................................................35 5. Application Process ......................................................................................................................................35 6. Applicant Selection........................................................................................................................................35 FINANCIAL DECISIONS FOR TOPICAL WORKSHOPS..................................................................................35 UPCOMING TOPICAL WORKSHOPS ............................................................................................... 35 TOPICAL WORKSHOP #1: MATHEMATICAL ASPECTS OF P VERSUS NP AND ITS VARIANTS ......36 Topical Workshop (P vs NP) Participants by Length of Stay............................................................36 TOPICAL WORKSHOP #2: CLUSTER ALGEBRAS AND STATISTICAL PHYSICS ..................................38 Topical Workshop (Cluster Algebras) Participants by Length of Stay..........................................39 TOPICAL WORKSHOP #3: SYNCHRONIZATION-REDUCING AND COMMUNICATION-REDUCING ALGORITHMS AND PROGRAMMING MODELS FOR LARGE-SCALE SIMULATIONS............................40 SEMESTER PROGRAM AND TOPICAL WORKSHOP PROMOTION......................................... 41 ORGANIZATION/INFRASTRUCTURE............................................................................................. 41 BOARD OF TRUSTEES..........................................................................................................................................41 SCIENTIFIC ADVISORY BOARD........................................................................................................................42 EDUCATION ADVISORY BOARD......................................................................................................................43