Ilya Kofman

Professor of Mathematics, College of Staten Island
Member of the Doctoral Faculty in Mathematics, The Graduate Center
The City University of New York (CUNY)


Department of Mathematics, Room 1S-209
College of Staten Island (CUNY)
2800 Victory Boulevard
Staten Island, NY 10314

(718) 982-3615



The focus of my research is knot theory and geometric topology. Knot theory is a very active research area of mathematics today. Much of this research is closely connected with mathematical physics, and many results are of interest to biologists. For such a rich field of mathematical ideas, the "price of admission" is low for great research projects.

My current research is motivated by a deep open problem: how to bridge the chasm between quantum and geometric topology. Thurston established the importance of geometric invariants, especially hyperbolic volume, in low-dimensional topology. A revolution in knot theory was ushered in with the discovery of the Jones polynomial in 1984, which led to vast families of quantum invariants. Broadly, my aim is to establish relationships between quantum invariants of a knot, such as the Jones polynomial, and the geometry of the knot complement.


Edited proceedings

Conferences organized