I am an Assistant Professor in the Department of Mathematics at the George Washington University. Since the fall of 2005, I am a co-organizer of the biannual Knots in Washington conference series on Knot Theory and its Ramifications. My research interests lie in the area of low-dimensional topology and, more specifically, knot theory. My recent projects are primarily devoted to studying properties and finding applications of various categorifications of knot invariants, in particular Khovanov homology. Here are my CV and research statement.
Since 2002, I develop a software package KhoHo for computing and studying Khovanov homology. KhoHo can be used to compute the original, odd (since 2008), and unified (since 2018) versions of Khovanov homology, as well as ranks of certain degree 1 and 2 homological operations (since 2015) on Khovanov homology (see Software page for details).
I'm a member of the American Mathematical Society (AMS).
Office Hours for Fall 2019