3 papers
math.AG2026
p-Curvature and Non-Abelian Cohomology
Yeuk Hay Joshua Lam, Daniel Litt
Let be a smooth projective morphism. Katz proved the Grothendieck-Katz -curvature conjecture for the Gauss-Manin connection on the -th cohomology of : if its $p…
math.AG2025
Density of integral points in the Betti moduli of quasi-projective varieties
Simone Coccia, Daniel Litt
Let be a smooth quasi-projective complex variety equipped with a simple normal crossings compactification. We show that integral points are potentially dense in the (relative)…
math.AG2025
Algebraicity and integrality of solutions to differential equations
Yeuk Hay Joshua Lam, Daniel Litt
We formulate a conjecture classifying algebraic solutions to (possibly non-linear) algebraic differential equations, in terms of the primes appearing in the denominators of the coe…