Maksym Fedorchuk

Associate Professor

Email: fedorchm[at]
Tel: 617-552-3757

Department of Mathematics
Boston College
Maloney Hall 570
140 Commonwealth Avenue
Chestnut Hill, MA 02467

Curriculum Vitae Research Teaching & Advising Meetings Outreach Travel


I am an algebraic geometer. My research is partially supported by the NSA Young Investigator grant H98230-16-1-0061 and Alfred P. Sloan Research Fellowship.

Upcoming work

  1. GIT for canonical curves, with Fabio Felici and Filippo Viviani, in preparation.
  2. VGIT presentation of the 2nd flip of $\overline{M}_{2,1}$, with Matthew Grimes, in preparation.
  3. Smoothness of associated forms, with Alexander Isaev, in preparation.

Publications and preprints

  1. Direct sum decomposability of polynomials on arXiv:1705.03452 (revision as of July 2017), 16pp.

  2. Stability of associated forms (joint with Alexander Isaev) on arXiv:1703.00438v2 (revision as of July 2017), 19pp.

  3. GIT semistability of Hilbert points of Milnor algebras on arXiv:1508.06991
    Math. Ann. 367 (2017), no. 1-2, 441--460 (journal version).

  4. Semiampleness criteria for divisors on $\overline{M}_{0,n}$, submitted, 36pp. An accompanying SAGE worksheet
    A major revision (June 2015) of an earlier arXiv:1407.7839 now incorporates new results and Item (13) below.

  5. Second flip in the Hassett-Keel program: A local description (joint with Jarod Alper, David Smyth, and Fred van der Wyck)
    Compositio Mathematica, 153 (2017), no. 8, 1547-1583 (journal version).

  6. Second flip in the Hassett-Keel program: Existence of good moduli spaces (joint with Jarod Alper and David Smyth)
    Compositio Mathematica, 153 (2017), no. 8, 1584-1609 (journal version).

  7. Second flip in the Hassett-Keel program: Projectivity (joint with Jarod Alper and David Smyth),
    International Mathematics Research Notices, doi:10.1093/imrn/rnw216 (December 2016), 45pp.

  8. Toward GIT stability of syzygies of canonical curves (joint with Anand Deopurkar and David Swinarski) on arXiv:1401.6101
    Algebraic Geometry 3 (2016), no. 1, 1-22 (journal version)

  9. Groebner techniques and ribbons (joint with Anand Deopurkar and David Swinarski),
    Albanian J. Math. 8 (2014), no. 2, 55-70 (journal version)

  10. New nef divisors on $\overline{M}_{0,n}$ on arXiv:1308.5993.
    Not for publication, subsumed by Item (19) above; contains a precursor of a combinatorial criterion for semiampleness that is used in Item (19) and proves Conjecture 1.7 from the earlier
    Type A level one conformal blocks divisors revisited, 2011.

  11. Singularities with G_m-action and the log minimal model program for $\overline{M}_g$ (joint with Jarod Alper and David Smyth),
    Journal fur die reine und angewandte Mathematik, 2016 (2016), no. 721, 1-41 (journal version)

  12. GIT of genus five canonical curves (joint with David Smyth) on arXiv:1302.4804
    A Celebration of Algebraic Geometry, 281-310, Clay Mathematics Proceedings, vol. 18, CMI/AMS, 2013.

  13. Moduli spaces of hyperelliptic curves with A and D singularities
    Mathematische Zeitschrift 276 (2013) no. 1--2, 299-328 (journal version)

  14. 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

  15. Stability of 2nd Hilbert points of canonical curves (joint with David Jensen)
    Int. Math. Res. Notices, 2013 (2013) no. 22: 5270-5287 (journal version)

  16. The final log canonical model of the moduli space of stable curves of genus four
    Int. Math. Res. Notices, 2012 (2012) no. 24: 5650-5672 (journal version)

  17. Cyclic covering morphisms on $\overline{M}_{0,n}$ (with an appendix by Anand Deopurkar, 2013); an older version on arXiv:1105.0655

  18. 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

  19. 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)

  20. Ample divisors on moduli spaces of pointed rational curves (joint with David Smyth)
    J. Algebraic Geom., 20 (2011) no. 4, 599-629 (journal version)

  21. Severi varieties and the moduli space of curves (Harvard dissertation) on arXiv:0710.1623

  22. Rigidity and polynomial invariants of convex polytopes (joint with Igor Pak)
    Duke Math. J., 129 (2005), no. 2, 371-404 (journal version)

Some of my lectures


Conference series organized


Meetings organized

Teaching and advising


Matthew Grimes (Visiting Assistant Professor at BC, 2016-2019)

Graduate student

Ross Goluboff (expected graduation date 2020)

Current teaching (Spring 2017)

Past teaching at Boston College


Together with Brian Lehmann and Igor Minevich, I am organizing a Math Teachers' Circle at Boston College (for high-school and pre-service teachers) that is a part of the AIM's MTC Network.
Contact me if you are interested, or visit the Boston MTC in Cambridge. (I led two sessions there on March 19 and November 19, 2016.)


Last Modified: May 7, 2017