Birs- 22w5162: Modern Breakthroughs in Diophantine Problems
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Title: Sporadic Points of Odd Degree on $X_1(N)$ Coming from $\mathbb{Q}$-Curves
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Title: On quadratic analogues of Kenku's theorem
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Title: On some generalized Fermat equations of the form $x^2 + y^{2n} = z^p$
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Link:http://www.birs.ca/events/2022/5-day-workshops/22w5162/videos/watch/202206201119-Michaud-Jacobs.html
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Title: Integral points in families of elliptic curves
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Title: On Vojta's conjecture with truncation for rational points
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Title: Deep learning Gauss-Manin connections
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Title: Approximating rational points via filtered linear series, the (parametric) Subspace Theorem and concepts that are near to $K$-stability
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Title: The Modular Approach to Diophantine Equations over totally real fields
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Title: Higher modularity of elliptic curves over function fields
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Title: Determining cubic and quartic points on modular curves
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Title: Torsion points in families of abelian varieties
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Title: Efficient resolution of Thue-Mahler equations
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Title: Prime values of $f(a,b^2)$ and $f(a,p^2)$, $f$ quadratic
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Title: Integers which are(n’t) the sum of two cubes
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Title: Field of definition of torsion points for quotients of Fermat curves
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Title: Reducing models for branched covers of the projective line
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