Institute for Computational and Experimental Research in Mathematics Annual Report August 1, 2013 – July 31, 2014 Jill Pipher, Director Jeffrey Hoffstein, Consulting Associate Director Govind Menon, Associate Director, Special Projects (VI-MSS) Bjorn Sandstede, Associate Director Sergei Tabachnikov, Deputy Director Homer Walker, Deputy Director Ulrica Wilson, Associate Director for Diversity and Outreach 1 Table of Contents Mission ................................................................................................................................... 5 Core Programs and Events ...................................................................................................... 5 Virtual Institute of Mathematical and Statistical Sciences (VI-MSS) ......................................... 6 Participant Summaries by Program Type ................................................................................ 8 ICERM Funded Participants ................................................................................................................................................... 8 All Participants (ICERM funded and Non-ICERM funded) ....................................................................................... 9 All Speakers (ICERM funded and Non-ICERM funded) .......................................................................................... 11 All Postdocs (ICERM funded and Non-ICERM funded) ........................................................................................... 13 All Graduate Students (ICERM funded and Non-ICERM funded) ....................................................................... 15 Additional Participant Data ................................................................................................................................................ 17 Length of Visits .......................................................................................................................................................................... 17 Primary Field of Interest ....................................................................................................................................................... 17 Academic Breakdown ............................................................................................................................................................ 18 Applied Attendees VS Invited Attendees ........................................................................................................................ 18 All Semester Attendees US Based VS Foreign Based ................................................................................................. 19 All Semester Program Workshop Attendees US Based VS Foreign Based ...................................................... 19 All Topical Workshop Attendees US Based VS Foreign Based .............................................................................. 20 Semester Programs ............................................................................................................... 20 Semester Program Process ................................................................................................................................................. 20 1. Solicitation of Proposals .................................................................................................................................................. 20 2. Proposal Selection .............................................................................................................................................................. 21 3. Selection of Long-term Visitors/Research Fellows ............................................................................................... 22 4. Offers to Research Fellows .............................................................................................................................................. 22 5. Semester Workshops .......................................................................................................................................................... 22 6. Application Process ............................................................................................................................................................ 22 7. Applicant Selection ............................................................................................................................................................. 22 Financial Decisions for Semester Programs ................................................................................................................ 22 Opening, “Middle” and Closing Events ........................................................................................................................... 23 2013-2014 Semester Programs ............................................................................................. 24 Fall Semester 2013: Low-dimensional Topology, Geometry, and Dynamics ................................................ 24 Workshop 1: Exotic Geometric Structures .................................................................................................................... 24 Workshop 2: Topology, Geometry and Group Theory, Informed by Experiment ......................................... 26 Workshop 3: Geometric Structures in Low-Dimensional Dynamics .................................................................. 27 All Visitors to Fall 2013 Semester Program ................................................................................................................. 29 Spring Semester 2014: Network Science and Graph Algorithms ....................................................................... 38 Workshop 2: Stochastic Graph Models ........................................................................................................................... 39 Workshop 3: Electrical Flows, Graph Laplacians, and Algorithms: Spectral Graph Theory and Beyond .......................................................................................................................................................................................... 41 Workshop 4: Eigenvectors in graph theory and related problems in numerical linear algebra .......... 42 Research Cluster 1: Geometric analysis methods for graph algorithms .......................................................... 44 Research Cluster 2: Graphs with incomplete information ..................................................................................... 46 Research Cluster 3: Towards Efficient Algorithms Exploiting Graph Structure .......................................... 46 All Visitors to Spring 2014 Semester Program ........................................................................................................... 48 2 Topical Workshops ............................................................................................................... 56 1. Solicitation of Topical Workshop Proposals ........................................................................................................... 56 2. Proposal Selection .............................................................................................................................................................. 56 3. Recommendation of Speakers ....................................................................................................................................... 57 4. Invitations to Speakers ..................................................................................................................................................... 57 5. Application Process ............................................................................................................................................................ 57 6. Applicant Selection ............................................................................................................................................................. 57 Financial Decisions for Topical Workshops ................................................................................................................ 57 Topical Workshops in 2013-2014 .......................................................................................... 57 Topical Workshop 1: Issues in Solving the Boltzmann Equation for Aerospace Applications .............. 57 Participants (Issues in Solving the Boltzmann Equation for Aerospace Applications Workshop) ...... 59 Topical Workshop 2: From the Clinic to Partial Differential Equations and Back: Emerging challenges for Cardiovascular Mathematics ................................................................................................................ 60 Participants (From the Clinic to Partial Differential Equations and Back… Workshop) ......................... 61 Topical Workshop 3: Mathematical Challenges in Cybersecurity ..................................................................... 64 Participants (Mathematical Challenges in Cybersecurity) .................................................................................... 64 Topical Workshop 4: Robust Discretization & Fast Solvers for Computable Multi-Physics Models .. 65 Participants (Robust Discretization and Fast Solvers for Computable Multi-Physics Models) ............. 66 Topical Workshop 5: Computational Nonlinear Algebra ....................................................................................... 68 Participants to date (Computational