Aleksander Doan, Ph.D.Columbia University
Aleksander Doan is a postdoctoral research scientist at the Department of Mathematics at Columbia University and a junior research fellow of Trinity College, University of Cambridge. He completed his Ph.D. in mathematics at Stony Brook University, working under the supervision of Simon Donaldson. Prior to coming to Stony Brook, he received a B.A. from the University of Warsaw and a M.A.St. (Part III) from the University of Cambridge.
Doan is interested in differential geometry and geometric analysis, especially in gauge theory, which is concerned with partial differential equations originating from particle physics. In his thesis, he studied the phenomenon of energy concentration for solutions to these equations and explored a relationship between gauge theory and algebraic geometry. The focus of his current research is Yang-Mills theory on Calabi-Yau manifolds.