Daniel Litt

activity

20242026

collaborators

4 papers

math.AG2026

p-Curvature and Non-Abelian Cohomology

Yeuk Hay Joshua Lam, Daniel Litt

Let $X \to S$ be a smooth projective morphism. Katz proved the Grothendieck-Katz $p$ -curvature conjecture for the Gauss-Manin connection on the $i$ -th cohomology of $X / S$ : if its $p…

math.AG2025

Density of integral points in the Betti moduli of quasi-projective varieties

Simone Coccia, Daniel Litt

Let $Y$ 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…

math.AG2024

Motives, mapping class groups, and monodromy

Daniel Litt

We survey some recent developments at the interface of algebraic geometry, surface topology, and the theory of ordinary differential equations. Motivated by "non-abelian" analogues…