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 |