Institute for Computational and Experimental Research in Mathematics Annual Report May 11, 2019 – May 1, 2020 Brendan Hassett, Director Mathew Borton, IT Director Ruth Crane, Assistant Director Sigal Gottlieb, Deputy Director Elisenda Grigsby, Deputy Director (through Dec. 31, 2019) Jeffrey Hoffstein, Consulting Associate Director Caroline Klivans, Associate Director Jill Pipher, Consulting Director Emerita Kavita Ramanan, Deputy Director (as of Jan. 1, 2020) Bjorn Sandstede, Associate Director Homer Walker, Consulting Associate Director (through Dec. 31, 2019) 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 .........................................................................................................................................21 7. Applicant Selection .........................................................................................................................................21 Financial Decisions for Semester Programs ....................................................................................... 21 Opening, Closing, and Related Events ................................................................................................ 21 2019-2020 Semester Programs .................................................................................................... 23 Fall 2019 Semester Program: Illustrating Mathematics ................................................................... 23 Workshop 1: Program Opener: Meet, Make and Design ....................................................................................27 Workshop 2: IllUstrating Geometry and Topology .............................................................................................29 Workshop 3: CompUtational TeXtiles Working GroUp .......................................................................................35 Workshop 4: IllUstrating NUmber Theory and Algebra ......................................................................................38 Workshop 5: IllUstrating Dynamics and Probability ...........................................................................................42 Dissemination (broader impacts and pUblic engagement) ..................................................................................47 Spring 2020 Semester Program: Model and dimension reduction in uncertain and dynamic systems ................................................................................................................................................... 48 ICERM Annual Report 2019-2020 2 Impact of COVID-19 on Spring 2020 programming ..........................................................................................52 Workshop 1: Mathematics of RedUced Order Models ........................................................................................52 Workshop 2 (VIRTUAL): Algorithms for Dimension and CompleXity RedUction ...........................................58 Workshop 3 (VIRTUAL): CompUtational Statistics and Data-Driven Models ..................................................63 Topical Workshops ....................................................................................................................... 67 1. Solicitation of Topical Workshop Proposals ...................................................................................................67 2. Topical Workshop Selection ...........................................................................................................................68 3. Recommendation of Speakers .........................................................................................................................68 4. Invitations to Speakers ....................................................................................................................................68 5. Application Process .........................................................................................................................................68 6. Applicant Selection .........................................................................................................................................68 Financial Decisions for Topical Workshops ....................................................................................... 69 Topical Workshops in 2019-2020 ................................................................................................ 69 Topical Workshop 1: Encrypted Search ............................................................................................ 69 Topical Workshop 2: Mathematical Optimization of Systems Impacted by Rare, High-Impact Random Events ..................................................................................................................................... 71 Topical Workshop 3: Perspectives on Dehn Surgery ........................................................................ 75 Topical Workshop 4: Women in Symplectic and Contact Geometry and Topology workshop (WiSCon) ............................................................................................................................................... 81 Topical Workshop 5: Women in Data Science and Mathematics (WiSDM) 2019 ......................... 86 Topical Workshop 6: Applied Mathematical Modeling with Topological Techniques ................. 90 Topical Workshop 7: Numerical Methods and New Perspectives for Extended Liquid Crystalline Systems ................................................................................................................................................... 95 Collaborate@ICERM (C@I) ........................................................................................................ 99 Collaborate@ICERM Process ............................................................................................................. 99 1. Solicitation of Proposals