Eugene's photo

Eugene Gorsky

James H. Simons Instructor, Stony Brook University

SBU


Contact information Office: 3-121 Math Tower
Telephone: (631) 632-8264
E-mail: egorsky AT math.sunysb.edu
Spring 2012 office hours: TuTh 9-10 am in Math 3-121, M 1-2pm in MLC
Research interests Theory of singularities, algebraic geometry, motivic integration, low-dimensional topology
CV (as of December 2009)
Teaching Spring 2012: MAT127 (Calculus C), MAT211 (Introduction to Linear Algebra)
Fall 2011: MAT127 (Calculus C)
Summer 2011: MAT312/AMS 351 (Applied Algebra)
Spring 2011: MAT 127 (Calculus C) , MAT312/AMS 351 (Applied Algebra)
Fall 2010: MAT 127 (Calculus C)
Research papers
  1. Combinatorics of HOMFLY homology. Appendix to "The Hilbert scheme of a plane curve singularity and the HOMFLY homology of its link"
    by A. Oblomkov, J. Rasmussen and V. Shende (arXiv:1201.2115)
  2. (joint with M. Gorsky) Distinguished bases for A_n root systems and parking functions. arXiv:1112.0381
  3. Arc spaces and DAHA representations. arXiv:1110.1674
  4. (joint with M. Mazin) Compactified Jacobians and q,t-Catalan Numbers. arXiv:1105.1151
  5. q,t-Catalan numbers and knot homology. arXiv: 1003.0916
  6. The equivariant Euler characteristic of moduli spaces of curves. arXiv:0906.0841
  7. Seifert cohomology of trees. arXiv:0901.1298
  8. Adams Operations and Power Structures. Moscow Mathematical Journal, 9 (2009), no. 2, 305--323.
  9. On the $S_n$-equivariant Euler characteristic of moduli spaces of hyperelliptic curves. Mathematical Research Letters, 16 (2009), no. 4, pp. 591--603.
  10. Combinatorial computation of the motivic Poincare series. Journal of Singularities, 3 (2011), 48-82
  11. Symmetries of some motivic integrals. Russian Mathematical Surveys, 63 (2008), no. 4 (382), 179--180.
  12. On the $S_n$-equivariant Euler characteristic of $M_{2,n}$. arXiv:0707.2662
  13. On the motivic measure on the space of functions. Revista Matematica Complutense, 20 (2007), no. 2, 507--521.
  14. Motivic integration and functional equations. Algebra and Analysis (Journal of the St. Petersburg Mathematical Society), 19 (2007), no. 4, 92--112.
  15. On divisorial filtrations on sheaves. Mathematical notes, 79 (2006), no. 6, 825--837.
  16. (joint with V. Gurovits, I. Mezhirov, E. Osmova). The Richman game. Matematicheskoe prosveshenie, 2001, 3:5 78--191