Dmitry Tamarkin is a mathematician (with some training in theoretical physics as well) at Northwestern University. His expertise includes deformation theory (with his famous proof of Kontsevich’s formality theorem), D-modules, homological algebra and various strong homotopy algebras ($A_\infty$, $L_\infty$, $G_\infty$…). His advisor was Boris Tsygan.
list of arxiv articles
Dmitry Tamarkin, What do dg-categories form?, Compos. Math. 143 (2007), no. 5, 1335–1358.