Maksym Fedorchuk

Assistant Professor

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


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


Curriculum Vitae Research Teaching Meetings Travel

Announcement: Spring 2015 BC-Northeastern Algebraic Geometry Mini-Conference will take place on April 25, 2015. Details are forthcoming.


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. 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), submitted, 49pp.

  2. Existence of good moduli spaces with applications to the log minimal program for $\overline{M}_{g,n}$ (joint with Jarod Alper and David Smyth), submitted, 28pp.

  3. Projectivity of the moduli space of $\alpha$-stable curves and the log minimal program for $\overline{M}_{g,n}$ (joint with Jarod Alper and David Smyth), preprint, 30pp.

  4. Integrated version of the above three papers on arXiv:1308.1148

  5. A semiampleness criterion for divisors on $\overline{M}_{0,n}$. Submitted, a slightly different version on arXiv:1407.7839.
    An accompanying SAGE worksheet

  6. Toward GIT stability of syzygies of canonical curves (joint with Anand Deopurkar and David Swinarski), version as of February 2015.
    Algebraic Geometry, to appear, 2015. arXiv:1401.6101

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

  8. New nef divisors on $\overline{M}_{0,n}$ on arXiv:1308.5993 (a revision with more general results, based on the item (16) above, is forthcoming).
    This proves Conjecture 1.7 from the earlier
    Type A level one conformal blocks divisors revisited, 2011.

  9. 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)

  10. 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.

  11. 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

  12. Moduli spaces of hyperelliptic curves with A and D singularities
    Mathematische Zeitschrift, doi:10.1007/s00209-013-1201-6, 2013 (journal version)

  13. Stability of 2nd Hilbert points of canonical curves (joint with David Jensen)
    Int. Math. Res. Notices, 2013 (2013) no. 22: 5270-5287. doi: 10.1093/imrn/rns204 (journal version)

  14. 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)

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

  16. 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

  17. 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)

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

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

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


Conferences and seminars

I co-organize the following Algebraic Geometry seminars:

Keep track of Algebraic Geometry in Boston and subscribe to the calendar of events using the following links HTML, ICAL, XML

Meetings organized


Teaching

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.

Current teaching and undergraduate research supervision (Spring 2015)

Past teaching at Boston College


Travel


Last Modified: March 24, 2015