Dr Gleb Smirnov

Over the years, most of my research has been focused on symplectic geometry. The questions I spent the most time thinking about include the symplectic mapping class groups of K3 surfaces and Lagrangian submanifolds of K3 surfaces. The tools I found helpful in studying these topics are Seiberg-Witten equations and pseudo-holomorphic curves. I have been fortunate to learn about the latter from Sewa Shevchishin, with whom we also studied anti‑self‑dual forms on four-manifolds.

More recently, I have been conducting research on probability for data science applications. In joint work with Roman Vershynin, we designed an algorithm that regularises random point sets by sharply reducing their discrepancy.