# Maksym Fedorchuk

Assistant Professor

Department of Mathematics, Boston College
Carney Hall 324
140 Commonwealth Avenue
Chestnut Hill, MA 02467

Email: first.last@bc.edu
Tel: 617-552-3757

Current Teaching (Spring 2014)

MT 430 Intro to Number Theory
MT 807 Algebra II (grad)

Research

I am an algebraic geometer. My research is partially supported by the NSF grant DMS-1259226.
1. Toward GIT stability of syzygies of canonical curves (joint with Anand Deopurkar and David Swinarski) on arXiv:1401.6101.
2. Log minimal model program for the moduli space of stable curves: The second flip (joint with Jarod Alper, David Smyth, and Fred van der Wyck) on arXiv:1308.1148
3. New nef divisors on $\overline{M}_{0,n}$ on arXiv:1308.5993. This grew out of a shorter and simpler
Type A level one conformal blocks divisors revisited, 2011.
4. GIT of genus five canonical curves (joint with David Smyth) on arXiv:1302.4804
to appear in the Proceedings of the Conference A Celebration of Algebraic Geometry
5. Finite Hilbert stability of (bi)canonical curves (joint with Jarod Alper and David Smyth)
Inventiones mathematicae 191 (2013) no. 3, 671-718 (journal version)
*The final publication is available at www.springerlink.com
6. Stability of 2nd Hilbert points of canonical curves (joint with David Jensen) on arXiv:1111.5339
Int. Math. Res. Notices, 2013 (2013) no. 22: 5270-5287. doi: 10.1093/imrn/rns204 (journal version)
7. 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 $\overline{M}_{0,n}$ (with an appendix by Anand Deopurkar, 2013); an older version on arXiv:1105.0655
9. Alternate compactifications of moduli spaces of curves (joint with David Smyth) on arXiv:1012.0329
in Handbook of Moduli: Volume I, 331-414, editors Gavril Farkas and Ian Morrison, Adv. Lect. Math. (ALM), 24, Int. Press, Somerville, MA, 2013
10. Singularities with G_m-action and the log minimal model program for $\overline{M}_g$ (joint with Jarod Alper and David Smyth) on arXiv:1010.3751,
submitted.
11. Moduli spaces of hyperelliptic curves with A and D singularities on arXiv:1007.4828,
Mathematische Zeitschrift, doi:10.1007/s00209-013-1201-6, 2013 (journal version)
12. Moduli spaces of weighted stable curves and log canonical models of M_{g,n}
Math. Res. Lett., 18 (2011) no. 4, 663-675 (journal version)
13. Ample divisors on moduli spaces of pointed rational curves (joint with David Smyth)
J. Algebraic Geom., 20 (2011) no. 4, 599-629 (journal version)
14. Severi varieties and the moduli space of curves (Harvard dissertation) on arXiv:0710.1623
15. Rigidity and polynomial invariants of convex polytopes (joint with Igor Pak)
Duke Math. J., 129 (2005), no. 2, 371-404 (journal version)

I co-organize the following Algebraic Geometry seminars:

Meetings organized

Travel

Past Teaching

Fall 2013: MT 105 Calculus II-AP
Spring 2013: MT 430 Intro to Number Theory
Fall 2012: MT 202 Multivariable Calculus and MT 806 Algebra I