01:11:07

Shou-Wu Zhang, Heights of homologically trivial cycles in families

58:13

Valia Gazaki, Hyperelliptic curves mapping to abelian varieties, Beilinson's conjecture for 0-cycles

01:13:47

Richard Hain, Where is the normal function of the Ceresa cycle constant?

52:49

Wanlin Li, The Ceresa and Gross--Kudla--Schoen cycles associated to modular curves

57:21

Padma Srinivasan, Algorithms for certifying nontriviality of Ceresa cycles

01:04:05

Ari Shnidman, Vanishing criteria for Ceresa classes and examples

01:07:00

Alex Kontorovich, Polymath-type projects in the age of formalized mathematics

56:42

Kevin Buzzard, On the ingredients for Fermat

01:00:20

Michael Stoll, How to translate a proof into Lean

48:18

María Inés de Frutos-Fernández, Local Fields in Lean

01:09:56

Alex Best, Formalization and arithmetic geometry: Past, present, and future.

52:51

Sara Checcoli, On fields with finitely many points of bounded height: around property (N)

01:01:33

Ziyang Gao, Sparsity of rational points on curves: What is known and what is expected

56:02

Philipp Habegger, Conjectures on unlikely intersections: What is known and what is open?

59:01

Hector Pasten, A criterion for algebraic degeneracy of integral points

01:01:06

Noemie Combe, Grothendieck–Teichmuller avatars and the absolute Galois group

01:05:10

Andrew Obus, Abhyankar's conjectures and fundamental groups

59:48

Daniel Litt, Galois theory of local systems

50:25

Jesse Wolfson, Perspectives on Hilbert's 13th problem

40:11

Sam Schiavone, In search of 17T7: Explicit realizations of Galois groups

01:01:11

Abhishek Oswal, Lifts of supersingular and almost ordinary abelian varieties

59:41

Sug Woo Shin, The Langlands-Rapoport conjecture and related topics

01:07:42

Damien Robert, Applications of isogenies between abelian varieties to elliptic curves cryptosystems.

52:45

Chloe Martindale, Torsion-point attacks on the SIDH key exchange protocol

59:40

Jen Paulhus, Automorphism groups of compact Riemann surfaces

54:06

Lior Bary-Soroker, On the discriminant of random polynomials

51:28

David Harbater, An overview of the inverse Galois problem

58:20

Maria Fox, Supersingular loci of some unitary Shimura varieties

53:11

Elena Mantovan, Density of primes of ordinary reduction for abelian varieties with simple signature

55:42

Bryden Cais, Iwasawa theory for class group schemes in characteristic p

01:08:13

Luca De Feo, Proving knowledge of isogenies, quaternions and signatures

01:07:32

Wouter Castryck, An efficient key recovery attack on supersingular isogeny Diffie-Hellman

01:02:03

Benjamin Smith, Isogenies in genus 2 for cryptographic applications

01:02:44

Steven Galbraith, Isogeny graphs, computational problems, and applications to cryptography

56:02

Kristin Lauter, Supersingular isogeny graphs in cryptography

01:02:10

Robert Lemke Oliver, Upper bounds on number fields

56:12

Stephanie Chan, Integral points in families of elliptic curves

01:04:33

Ila Varma, Counting quartic number fields and predicting asymptotics

58:52

Ana Caraiani, Modularity over CM fields

01:17:00

Ken Ribet, Ogg's conjecture for J0(N)

58:04

Fred Diamond, Geometric Serre weight conjectures and theta operators

56:15

Hanneke Wiersema, Minimal weights of mod-p Galois representations

01:00:46

Chandrashekhar Khare, Serre's conjecture and computational aspects of the Langlands program

01:02:42

Everett Howe, Deducing information about a curve over a finite field from its Weil polynomial

01:00:38

Jeffrey Achter, Equidistribution counts abelian varieties

01:07:43

Christelle Vincent, Exploring angle rank using the LMFDB

55:27

Stefano Marseglia, Computing isomorphism classes of abelian varieties over finite fields

01:01:01

Valentijn Karemaker, Mass formulae for supersingular abelian varieties

01:05:31

Ben Moonen, Jacobians with complex multiplication

01:04:49

Jacob Tsimerman, Unlikely intersections and the André-Oort conjecture

55:49

Ananth Shankar, Picard ranks of K3 surfaces and the Hecke orbit conjecture

59:16

Noam Elkies, Supersingular reductions of elliptic curves

52:09

Wanlin Li, A generalization of Elkies' theorem on infinitely many supersingular primes

01:01:51

David Roberts, Hurwitz Belyi maps

42:22

Irene Bouw, Belyi maps in positive characteristic

49:46

Sam Schiavone, Belyi map: computation and Data

50:56

Özlem Ejder, Dynamical Belyi maps

59:50

Edray Goins, Critical points of toroidal Belyi maps

55:35

John Voight, Belyi maps in number theory: a survey

48:28

Barinder Banwait, Explicit isogenies of prime degree over number fields