3 papers
math.AG2026
Non-trivial and Non-tautological Cohomology of Strata of Differentials
Dawei Chen, Prabhat Devkota, Samuel Grushevsky +1
In this paper we construct various non-trivial and non-tautological cohomology classes on compactified and uncompactified strata of curves with a differential, by using the geometr…
math.AG2025
Integrable systems approach to the Schottky problem and related questions
Samuel Grushevsky, Yuancheng Xie
We give a somewhat informal introduction to the integrable systems approach to the Schottky problem, explaining how the theta functions of Jacobians can be used to provide solution…
hep-th2024
Tree-Level Superstring Amplitudes: The Neveu-Schwarz Sector
Sergio Luigi Cacciatori, Samuel Grushevsky, Alexander A. Voronov
We present a complete computation of superstring scattering amplitudes at tree level, for the case of Neveu-Schwarz insertions. Mathematically, this is to say that we determine exp…