Visions in Arithmetic and Beyond: Celebrating Peter Sarnak's Work and Impact

Co-hosted by the Institute for Advanced Study and Princeton University, "Visions in Arithmetic and Beyond: Celebrating Peter Sarnak's Work and Impact" will run from June 3-7, 2024.

Organized in partnership with CMI.  We thank the following for financial support: 
Clay Mathematics Institute
American Institute of Mathematics 

Link to full poster

Frank Calegari, University of Chicago
Simion Filip, University of Chicago
Larry Guth, Massachusetts Institute of Technology
Elon Lindenstrauss, Hebrew University
Michael Magee, Durham University/IAS
Melanie Matchett Wood, Harvard University
James Maynard, University of Oxford
Curtis McMullen, Harvard University
Paul Nelson, Aarhus University
Hee Oh, Yale University
Sarah Peluse, University of Michigan
Will Sawin, Princeton University
Daniel Spielman, Yale University
Terence Tao, University of California, Los Angeles
Jacob Tsimerman, University of Toronto
Maryna Viazovska, École Polytechnique Fédérale de Lausanne
Horng-Tzer Yau, Harvard University
Tamar Ziegler, Hebrew University

Alex Gamburd, The Graduate Center, CUNY
Nick Katz, Princeton University
Hee Oh, Yale University
Kannan Soundararajan, Stanford University
Akshay Venkatesh, Institute for Advanced Study

American Institute for Mathematics
Clay Mathematics Institute
Institute for Advanced Study
National Science Foundation
Princeton University

Monday, June 3, 2024: 
09:00 AM -                          Registration
09:45 AM - 10:00 AM           Opening Remarks, David Nirenberg/Akshay Venkatesh
10:00 AM – 11:00 AM          Daniel Spielman, Impacts of Ramanujan Graphs
11:50 AM – 12:50 PM           Michael Robert Magee, Optimal Spectral Gaps
2:30 PM – 3:30 PM               Sarah Peluse, Integer Distance Sets
4:30 PM – 5:30 PM               Horng-Tzer Yau, Spectral Statistics of Random Regular Graphs

Tuesday, June 4, 2024: **due to unforeseen circumstances there will be no livestream via Zoom today. Talks will be recorded and posted as soon as possible.
10:00 AM – 11:00 AM         Will Sawin, A Refined Random Matrix Model for Function Field L-Functions
11:50 AM – 12:50 PM          Paul Nelson, L-Functions, Integral Representations and Applications
2:30 PM – 3:30 PM              James Maynard, New Bounds for Large Values of Dirichlet Polynomials, Part 1
4:30 PM – 5:30 PM              Larry Guth, New Bounds for Large Values of Dirichlet Polynomials, Part 2

Wednesday, June 5, 2024: 
10:00 AM – 11:00 AM        Tamar Ziegler, Sign Patterns of the Mobius Function
11:30 AM – 12:30 PM         Hee Oh, Rigidity of Kleinian groups and Zariski density in higher rank.
2:30 PM 3:30 PM             Maryna Viazovska, Random Lattices with Symmetries
4:30 PM 5:30 PM             Terence Tao, Higher Order Fourier Uniformity of Bounded Multiplicative Functions in Short Intervals

Thursday, June 6, 2024: 
9:30 AM – 10:30 AM          Melanie Matchett Wood, Distributions of Class Groups of Global Fields
11:00 AM – 12:00 PM         Frank Calegari, The Arithmetic of Some Dirichlet L-Values
2:00 PM – 3:00 PM             Curtis McMullen, Billiards and the Arithmetic of Non-Arithmetic Groups
4:00 PM 5:00 PM             Simion Filip, Measure and Topological Rigidity Beyond Homogeneous Dynamics
5:15 PM 6:15 PM             Mentoring Panel - Alex Eskin, James Maynard, Curt McMullen, Lillian Pierce (moderator),  Peter Sarnak, Melanie Wood, Tamar Ziegler 

Friday, June 7, 2024: 
9:00 AM – 10:00 AM         Jacob Tsimerman, Large Compact Subvarieties of A_g
10:30 AM – 11:30 AM       Elon Lindenstrauss, Values of Quadratic Forms and Effective Equidistribution

Partial funding was available for graduate students and post-docs.

Decisions were emailed in early April.


Date & Time

June 03, 2024 – June 07, 2024