Workshop on Arithmetic Statistics Problems

Together with Stephanie Chan, Yuan Liu and Nick Rome I am organizing the conference "Workshop on Arithmetic Statistics Problems (WASP)". The aim of the workshop is to create a platform for junior researchers to present their work. In order to promote collaboration and to encourage discussion during the various breaks, the conference will be small and invite-only.

The workshop will take place from July 12 to July 16 on Discord and Zoom from 10 AM to 2 PM Eastern Time. Below you can find a tentative schedule (more details to be announced soon). There will also be discussion groups on a selected number of topics such as Malle's conjecture, the Cohen--Lenstra conjectures, Chowla's (non-vanishing) conjecture, rational points and arithmetic statistics on abelian varities/elliptic curves.

In case you have any questions, feel free to contact any of the organizers. This workshop was supported by NSF grant DMS-1844763.

Schedule

All times below are Eastern Time.

Monday July 12

Time Speaker Title Link to abstract
10:00-11:00 Aaron Landesman A geometric approach to the Cohen-Lenstra heuristics Abstract
11:00-11:15 Break
11:15-12:15 Parallel discussion groups on Cohen--Lenstra / harmonic analysis and arithmetic statistics
12:15-12:45 Weitong Wang Non-random Primes: the Distribution of Class Groups Abstract
12:45-13:00 Break
13:00-14:00 Tony Feng The geometric distribution of Selmer groups over function fields Abstract

Tuesday July 13

Time Speaker Title Link to abstract
10:00-11:00 Jiuya Wang Average of 3-torsion in class groups of 2-extensions Abstract
11:00-11:15 Break
11:15-12:15 Parallel discussion groups on Malle's conjecture / computational problems in arithmetic statistics
12:15-12:45 Artane Siad Average 2 torsion in the class group of monogenised fields Abstract
12:45-13:00 Break
13:00-14:00 Carlo Pagano Pro-nilpotent arithmetic statistics Abstract

Wednesday July 14

Time Speaker Title Link to abstract
10:00-10:30 Jungin Lee Counting algebraic tori over Q by Artin conductor Abstract
10:30-11:30 Parallel discussion groups on Malle's vs Manin's conjecture / problems in function fields
11:30-11:45 Break
11:45-12:45 Adam Morgan Integral Galois module structure of Mordell--Weil groups Abstract
12:45-13:00 Break
13:00-14:00 Levent Alpoge Quadrics in arithmetic statistics Abstract

Thursday July 15

Time Speaker Title Link to abstract
10:00-11:00 Mark Shusterman Short exponential sums and their applications over function fields Abstract
11:00-11:15 Break
11:15-12:15 Parallel discussion groups on Chowla's conjecture / statistics of abelian varieties
12:15-12:45 Debanjana Kundu Statistics for Iwasawa Theory of Elliptic Curves Abstract
12:45-13:00 Break
13:00-14:00 Wanlin Li The central value of Dirichlet L-functions over function fields and related topics Abstract

Friday July 16

Time Speaker Title Link to abstract
10:00-11:00 Evan O'Dorney Reflection theorems for number rings generalizing the Ohno-Nakagawa identities Abstract
11:00-11:30 Break
11:30-12:30 Brandon Alberts Arithmetic Statistics via Harmonic Analysis Abstract
12:30-13:00 Break
13:00-14:00 Alexander Smith 2^k-Selmer groups, the Cassels-Tate pairing, and Goldfeld's conjecture Abstract

Confirmed participants

  • Brandon Alberts
  • Levent Alpoge
  • Tess Anderson
  • Alex Bartel
  • Ben Breen
  • Henri Cohen
  • Ratko Darda
  • Daniel El-Baz
  • Jordan Ellenberg
  • Tony Feng
  • Christopher Frei
  • Fabian Gundlach
  • Wei Ho
  • Robert Hough
  • Christopher Keyes
  • Debanjana Kundu
  • Michael Kural
  • Aaron Landesman
  • Eun Hye Lee
  • Jungin Lee
  • Robert Lemke Oliver
  • Wanlin Li
  • Alison Miller
  • Adam Morgan
  • Rachel Newton
  • Evan O'Dorney
  • Carlo Pagano
  • Ross Paterson
  • Bjorn Poonen
  • Anwesh Ray
  • Will Sawin
  • Ari Shnidman
  • Mark Shusterman
  • Artane Siad
  • Alexander Smith
  • Andrew Sutherland
  • Ashvin Swaminathan
  • Frank Thorne
  • Jiuya Wang
  • Weitong Wang
  • Martin Widmer
  • Melanie Matchett Wood
  • Takehiko Yasuda