# Modern Breakthroughs in Diophantine Problems

## Videos from BIRS Workshop

, Wake Forest University
- 10:03
Sporadic Points of Odd Degree on $X_1(N)$ Coming from $\mathbb{Q}$-Curves
, Ruprecht-Karls-Universität Heidelberg
- 11:16
On quadratic analogues of Kenku's theorem
, University of Warwick
- 12:07
On some generalized Fermat equations of the form $x^2 + y^{2n} = z^p$
, University of Michigan
- 14:13
Integral points in families of elliptic curves
, Harvard University
- 10:00
Integers which are(n’t) the sum of two cubes
- 11:00
Field of definition of torsion points for quotients of Fermat curves
, Dartmouth College
- 12:00
Reducing models for branched covers of the projective line
, Pontificia Universidad Catolica de Chile
- 10:02
On Vojta's conjecture with truncation for rational points
, Dartmouth College
- 11:15
Deep learning Gauss-Manin connections
, Royal Military College of Canada, Carleton University and L'Université du Québec à Montréal (UQAM)
- 12:05
Approximating rational points via filtered linear series, the (parametric) Subspace Theorem and concepts that are near to $K$-stability
, University of Warwick
- 11:19
The Modular Approach to Diophantine Equations over totally real fields
- 12:13
Higher modularity of elliptic curves over function fields
, MPIM Bonn
- 14:21
Determining cubic and quartic points on modular curves
Prime values of $f(a,b^2)$ and $f(a,p^2)$, $f$ quadratic