Maksym Fedorchuk Ritt Assistant Professor Department of Mathematics Columbia University 2990 Broadway, MC 4417 New York, NY 10027 Work: 212-854-4759 Fax: 212-854-8962 mfedorch@math.columbia.edu

Curriculum Vitae (January 2012)

Research

13. GIT of genus five canonical curves, in preparation
12. Stability of 2nd Hilbert points of canonical curves (joint with David Jensen) on arXiv:1111.5339
11. Finite Hilbert stability of canonical curves, II. The even-genus case (joint with Jarod Alper and David Smyth) on arXiv:1110.5960
10. Finite Hilbert stability of (bi)canonical curves (joint with Jarod Alper and David Smyth) on arXiv:1109.4986
9. The final log canonical model of the moduli space of stable curves of genus four
   International Mathematics Research Notices (2012) doi:10.1093/imrn/rnr242, 23pp (journal version)
8. Cyclic covering morphisms on $\overline{M}_{0,n}$ on arXiv:1105.0655
   An addendum: Type A level one conformal blocks revisited
7. Alternate compactifications of moduli spaces of curves (joint with David Smyth) on arXiv:1012.0329
   in Handbook of Moduli, editors Gavril Farkas and Ian Morrison, to be published by International Press in 2012.
6. Singularities with $\mathbb{G}_m$-action and the log minimal model program for $\overline{M}_g$ (joint with Jarod Alper and David Smyth) on arXiv:1010.3751
5. Moduli spaces of hyperelliptic curves with A and D singularities on arXiv:1007.4828
4. Moduli spaces of weighted stable curves and log canonical models of $\overline{M}_{g,n}$
   Math. Res. Lett., 18 (2011) no. 4, 663-675 (journal version)
3. Ample divisors on moduli spaces of pointed rational curves (joint with David Smyth)
   J. Algebraic Geom., 20 (2011) no. 4, 599-629 (journal version)
2. Severi varieties and the moduli space of curves (Harvard dissertation) on arXiv:0710.1623
1. Rigidity and polynomial invariants of convex polytopes (joint with Igor Pak)
   Duke Math. J., 129 (2005), no. 2, 371-404 (journal version)

Meetings organized

• Workshop on Log minimal model program for moduli spaces, American Institute of Mathematics (AIM) (with Jarod Alper, Brendan Hassett, and David Smyth),
  December 10-14, 2012

Teaching

• Spring 2012 - Calculus III
• Fall 2011 - Algebraic Number Theory
• Spring 2011 - Modern Algebra I and Honors Linear Algebra
  
• Fall 2010 - Calculus I
• Spring 2010 - Algebraic Geometry (Schemes) and Calculus III
• Fall 2009 - Commutative Algebra

Travel

• Workshop on Log minimal model program for moduli spaces: American Institute of Mathematics (AIM), Palo Alto, CA, December 10-14, 2012
• AGNES Spring 2012 UMass Amherst, MA, March 30-April 1, 2012
• Algebraic Stacks: Progress and Prospects Banff, March 25-March 30, 2012
• AGNES Fall 2011 SUNY Stony Brook, NY, October 29-30, 2011
• Algebraic Cycles and the Geometry of Group Orbits: Conference on the occasion of the 60th birthday of Peter O'Sullivan, ANU, Canberra, Australia, September 2-4, 2011
• A celebration of algebraic geometry: A conference in honor of Joe Harris' 60th birthday, Harvard University, Cambridge, MA, August 24-28, 2011