Institute for Computational and Experimental Research in Mathematics Annual Report May 1, 2018 – May 10, 2019 Brendan Hassett, Director Mathew Borton, IT Director Jeff Brock, Associate Director (through June 30, 2018) Ruth Crane, Assistant Director Sigal Gottlieb, Deputy Director Elisenda Grigsby, Deputy Director Jeffrey Hoffstein, Consulting Associate Director Caroline Klivans, Associate Director Jill Pipher, Consulting Associate Director Bjorn Sandstede, Associate Director Homer Walker, Consulting Associate Director Ulrica Wilson, Associate Director for Diversity and Outreach Table of Contents Mission ....................................................................................................................................... 5 Core Programs and Events ........................................................................................................ 5 Participant Summaries by Program Type .................................................................................. 8 ICERM Funded Participants ............................................................................................................ 8 All Participants (ICERM funded and Non-ICERM funded) ........................................................... 9 ICERM Funded Speakers ............................................................................................................... 10 All Speakers (ICERM funded and Non-ICERM funded) .............................................................. 11 ICERM Funded Postdocs ................................................................................................................ 12 All Postdocs (ICERM funded and Non-ICERM funded) ............................................................... 13 ICERM Funded Graduate Students ............................................................................................... 14 All Graduate Students (ICERM funded and Non-ICERM funded) .............................................. 15 Additional Participant Data ............................................................................................................ 16 Semester Program Length of Stay ................................................................................................................16 Primary Field of Interest ..............................................................................................................................16 Position .......................................................................................................................................................17 Gender.........................................................................................................................................................17 US vs Foreign Based Participants .................................................................................................................18 Ethnicity ......................................................................................................................................................18 Semester Programs .................................................................................................................. 19 Semester Program Process .............................................................................................................. 19 1. Solicitation of Proposals ...........................................................................................................................19 2. Proposal Selection ....................................................................................................................................20 3. Selection of Long-term Visitors/Research Fellows ....................................................................................20 4. Offers to Research Fellows .......................................................................................................................20 5. Semester Workshops ................................................................................................................................20 6. Application Process..................................................................................................................................20 7. Applicant Selection ..................................................................................................................................21 Financial Decisions for Semester Programs ................................................................................... 21 Opening, “Middle” and Closing Events .......................................................................................... 21 2018-2019 Semester Programs ................................................................................................. 22 Fall 2018 Semester Program: Nonlinear Algebra........................................................................... 22 Workshop 1: Nonlinear Algebra Bootcamp ..................................................................................................26 Workshop 2: Core Computational Methods ..................................................................................................28 Workshop 3: Real Algebraic Geometry and Optimization .............................................................................32 Workshop 4: Nonlinear Algebra in Applications ...........................................................................................36 Spring 2019 Semester Program: Computer Vision ........................................................................ 40 Research Cluster 1: Algebraic Vision Research Cluster ................................................................................44 Workshop 1: Theory and Practice in Machine Learning and Computer Vision ..............................................45 Workshop 2: Image Description for Consumer and Overhead Imagery..........................................................51 Workshop 3: Computational Imaging ...........................................................................................................53 Workshop 4: Optimization Methods in Computer Vision and Image Processing ............................................57 Workshop 5: Introduction to the ANTs Ecosystem .......................................................................................60 ICERM Annual Report 2018-2019 2 Topical Workshops ................................................................................................................... 61 1. Solicitation of Topical Workshop Proposals .............................................................................................61 2. Topical Workshop Selection .....................................................................................................................61 3. Recommendation of Speakers...................................................................................................................61 4. Invitations to Speakers .............................................................................................................................62 5. Application Process..................................................................................................................................62 6. Applicant Selection ..................................................................................................................................62 Financial Decisions for Topical Workshops ................................................................................... 62 Topical Workshops in 2018-2019 ............................................................................................. 62 Topical Workshop 1: Birational Geometry and Arithmetic .......................................................... 62 Topical Workshop 2: Frame Theory and Exponential Bases ........................................................ 67 Topical Workshop 3: Fractional PDEs: Theory, Algorithms and Applications ............................ 69 Topical Workshop 4: Computational Aspects of Time Dependent Electromagnetic Wave Problems in Complex Materials ...................................................................................................... 73 Topical Workshop 5: SageDays@ICERM: Combinatorics and Representation Theory ............. 77 Topical Workshop 6: Advances in PDEs: Theory, Computation and Application to CFD .......... 82 Topical Workshop 7: Celebrating 75 Years of Mathematics of Computation .............................. 87 Collaborate@ICERM (C@I) .................................................................................................... 91 Collaborate@ICERM Process ........................................................................................................ 91 1. Solicitation of Proposals ...........................................................................................................................91 2. Deadline and Review Process ...................................................................................................................91 Collaborate@ICERM Participants and Projects ........................................................................... 91 TRIPODS Workshops .............................................................................................................. 93 Hot Topics Workshops ............................................................................................................. 96 Program Promotions ...............................................................................................................