Maksym Fedorchuk

Assistant Professor

Email: fedorchm[at]bc.edu
Tel: 617-552-3757


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


Curriculum Vitae Research Teaching Meetings Outreach Travel

Announcements: Two upcoming AG conferences in the area: Spring 2016 BC-NEU Algebraic Geometry Mini-Conference and Cycles on Moduli Spaces, Geometric Invariant Theory, and Dynamics.


Research

I am an algebraic geometer. My research is partially supported by the NSF grant DMS-1259226 and Alfred P. Sloan Research Fellowship.

Publications and preprints

  1. GIT semistability of Hilbert points of Milnor algebras on arXiv:1508.06991v3
    Mathematische Annalen, to appear (2016), 18pp.

  2. 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.

  3. Second flip in the Hassett-Keel program: A local description (joint with Jarod Alper, David Smyth, and Fred van der Wyck), submitted, 37pp.

  4. Second flip in the Hassett-Keel program: Existence of good moduli spaces (joint with Jarod Alper and David Smyth)
    Compositio Mathematica, to appear (2016), 27pp.

  5. Second flip in the Hassett-Keel program: Projectivity (joint with Jarod Alper and David Smyth),
    International Mathematics Research Notices, to appear (2016), 33pp.

  6. Integrated (but not updated) version of the above three papers on arXiv:1308.1148

  7. 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)

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

  9. New nef divisors on $\overline{M}_{0,n}$ on arXiv:1308.5993.
    This proves Conjecture 1.7 from the earlier
    Type A level one conformal blocks divisors revisited, 2011.

  10. Singularities with G_m-action and the log minimal model program for $\overline{M}_g$ (joint with Jarod Alper and David Smyth),
    Journal für die reine und angewandte Mathematik, DOI: 10.1515/crelle-2014-0063, August 2014 (ahead of print at Crelle's Journal)

  11. 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.

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

  13. 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

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

  15. 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)

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

  17. 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

  18. 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)

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

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

  21. 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


Meetings

Seminars

I co-organize the following Algebraic Geometry seminars:

Meetings organized


Teaching and undergraduate mentoring

I have taught a variety of undergraduate and graduate courses at Boston College (2012-present) and Columbia University (2008-2012).
I also supervise undergraduate research projects and reading courses at BC.

Spring 2016

MATH 807 Algebra II (graduate), MATH 496 Undergraduate Honors Thesis, MATH 490 Readings and Research

Past teaching at Boston College

In Fall 2015, I was on leave supported by the Boston College Faculty Fellowship.

Outreach

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.
Details coming soon. Contact me in the meantime if you are interested, or visit the Boston MTC in Cambridge. (I will lead a session there on March 19.)

Travel


Last Modified: January 30, 2016