Math Department Faculty
Maksym Fedorchuk
Professor
Maksym Fedorchuk
Ph.D.
Contact
Maloney Hall 570
Telephone: 617-552-3757
Email: maksym.fedorchuk@bc.edu
ORCID 0000-0002-6719-6832
Education
- S.B., MIT
- Ph.D., Harvard University
Publications and Preprints
- Direct sum decomposability of smooth polynomials on arXiv:1705.03452 (May 2017), 10pp.
- Stability of associated forms (joint with Alexander Isaev) on arXiv:1703.00438v2 (March 2017), 26pp.
- GIT semistability of Hilbert points of Milnor algebras on arXiv:1508.06991
Math. Ann. 367 (2017), no. 1-2, 441--460 (journal version). - 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. - 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 (journak version). - 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). - 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. - 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) - Groebner techniques and ribbons (joint with Anand Deopurkar and David Swinarski),
Albanian J. Math. 8 (2014), no. 2, 55-70 (journal version) - 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Not for publication, subsumed by Item (19) above; contains a precursor of a combinatorial criterion for semiampleness that is used in Item (19) and proves Conjecture 1.7 from the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. - 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) - 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. - Moduli spaces of hyperelliptic curves with A and D singularities
Mathematische Zeitschrift 276 (2013) no. 1--2, 299-328 (journal version) - 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 - Stability of 2nd Hilbert points of canonical curves (joint with David Jensen)
Int. Math. Res. Notices, 2013 (2013) no. 22: 5270-5287 (journal version) - 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) - Cyclic covering morphisms on $\overline{M}_{0,n}$ (with an appendix by Anand Deopurkar, 2013); an older version on arXiv:1105.0655
- 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 - 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) - Ample divisors on moduli spaces of pointed rational curves (joint with David Smyth)
J. Algebraic Geom., 20 (2011) no. 4, 599-629 (journal version) - Severi varieties and the moduli space of curves (Harvard dissertation) on arXiv:0710.1623
- Rigidity and polynomial invariants of convex polytopes (joint with Igor Pak)
Duke Math. J., 129 (2005), no. 2, 371-404 (journal version)