Samuel Grushevsky

Samuel Grushevsky is a Professor and Deputy Director at the Simons Center for Geometry and Physics (SCGP) at Stony Brook University, where he is affiliated with the Department of Mathematics in the College of Arts and Sciences. His office is located in SCGP 416 and he can be reached at 631-632-2820.

Professor Grushevsky's research focuses on algebraic geometry, with particular emphasis on moduli spaces, abelian varieties, theta functions, and their connections to mathematical physics. His work bridges pure mathematics with theoretical physics, especially in areas related to string theory and integrable systems. He has made significant contributions to the Schottky problem, Teichmüller dynamics, and the geometry of moduli spaces of curves and abelian varieties. His research often involves intricate connections between algebraic geometry and complex analysis, with applications to theoretical physics.

His recent publications demonstrate a sustained focus on the geometry of moduli spaces, particularly examining compactifications, stratifications, and the interplay between algebraic geometry and differential geometry. His work frequently addresses fundamental questions about the structure of moduli spaces of curves, abelian varieties, and differentials, with applications to mathematical physics. He has developed deep insights into the Schottky problem and has made significant advances in understanding the geometry of strata of differentials.

Professor Grushevsky's research has been published in top-tier mathematics journals including Duke Mathematical Journal, Journal für die Reine und Angewandte Mathematik, Inventiones Mathematicae, and IMRN. His paper 'Compactification of strata of abelian differentials' (2018) has been cited 68 times, and 'Strata of k-differentials' (2019) has been cited 56 times, demonstrating significant impact in the field.

In addition to his research, Professor Grushevsky is an active educator, teaching advanced graduate courses in areas such as Teichmüller dynamics, moduli of curves, and complex analysis. His teaching portfolio demonstrates deep expertise across algebraic geometry and complex analysis. He has collaborated extensively with leading researchers worldwide, including Riccardo Salvati Manni, Klaus Hulek, Martin Möller, and Matt Bainbridge, among others.