Qile Chen

Address:

Department of MathematicsMaloney Hall, Fifth FloorBoston CollegeChestnut Hill, MA02467-3806

Email:

firstname.lastname@bc.edu

I am an Assistant Professor in the Math Department of Boston College.

My main area of interest is algebraic geometry. I specialize in studying moduli spaces using logarithmic geometry in the sense of Kato-Fontaine-Illusie,

and its applications to Gromov-Witten theory and birational geometry.

My CV.

PUBLICATIONS

  • Principal boundary of moduli spaces of abelian and quadratic differentials, Joint with Dawei Chen, Ann. Inst. Fourier 69 (2019), no. 1, 81-118, arXiv:1611.01591.
  • Spin and hyperelliptic structures of log twisted differentials, Joint with Dawei Chen, Selecta Math. (2019) 25:20, arXiv:1610.05345.
  • Strong approximation over function fields, Joint with Yi Zhu, J. Algebraic Geom. 27 (2018), 703-725, arXiv:1510.04647.
  • A1-curves on log smooth varieties, Joint with Yi Zhu, J. Reine Angew. Math.to appear, arXiv:1407.5476.
  • Skeletons and fans of logarithmic structures, Joint with Dan Abramovich, Steffen Marcus, Martin Ulirsch, and Jonathan Wise, In: Baker M., Payne S. (eds) Nonarchimedean and Tropical Geometry (2016). Simons Sym- posia. Springer, Cham, pp 287-336, arXiv:1503.04343.
  • A1-connected varieties of rank one over non-closed fields, Joint with Yi Zhu, Mathematische Annalen, 364(3), 1505-1515, arXiv:1409.6398.
  • On the irreducibility of the space of genus zero stable log maps to wonderful compactifications, Joint with Yi Zhu, International Mathematics Research Notices, Vol. 2016, No. 10, pp. 3029-3050, arXiv:1408.6105.
  • Boundedness of the space of stable logarithmic maps, Joint with Dan Abramovich, Steffen Marcus, and Jonathan Wise, Journal of the European Mathemat- ical Society, Volume 19, Issue 9, 2017, pp.2783-2809, arXiv:1408.0869.
  • Very free curves on Fano complete intersections, Joint with Yi Zhu, Algebraic Geometry, 1 (5) (2014) 558-572 arXiv:1311.7189v1
  • Chow quotients of toric varieties as moduli of stable log maps, Joint with Matthew Satriano, Algebra & Number Theory 7-9 (2013), 2313--2329. arXiv:1201.3406v1
  • Logarithmic stable maps to Deligne-Faltings pairs II, Joint with Dan Abramovich, The Asian Journal of Mathematics 18 (2014) no.3, 465-488, arXiv:1102.4531
  • The degeneration formula for logarithmic expanded degenerations, Journal of Algebraic Geometry, 23 (2014), no.2, 341-392 arXiv:1009.4378v1
  • Logarithmic stable maps to Deligne-Faltings pairs I, Annals of Mathematics (2) 180 (2014), no.2, 455-521. arXiv:1008.3090
  • Logarithmic geometry and moduli, Joint with Dan Abramovich, Danny Gillam, Yuhao Huang, Martin Olsson, Matthew Satriano, and Shenghao Sun arXiv:1006.5870, Handbook of Moduli. Vol. I, 1-61, Adv. Lect. Math. (ALM), 24, Int. Press, Somerville, MA, 2013. arXiv:1008.3090arXiv:1006.5870v1
  • Very twisted stable maps, Joint with Steffen Marcus and Henning Ulfarsson, Communications in Analysis and Geometry 18 (2010), no.4, 831-855 arXiv:0811.0035

PREPRINTS

  • The logarithmic gauged linear sigma model, Joint with Felix Janda and Yongbin Ruan, arXiv:1906.04345.
  • Towards a theory of logarithmic GLSM moduli spaces, Joint with Felix Janda, Yongbin Ruan, and Adrien Sauvaget, arXiv: 1805.02304.
  • Decomposition of degenerate Gromov-Witten Invariants, Joint with Dan Abramovich, Mark Gross, and Bernd Siebert, arXiv: 1709.09864.
  • The evaluation space of logarithmic stable maps, Joint with Dan Abramovich, Danny Gillam, and Steffen Marcus, arXiv:1012.5416v1.

TEACHING

  • Fall_2018
    • MATH332101 - Analysis I;
  • Spring_2018
    • MATH8865 - Deformation theory;
  • Fall_2017
    • MATH332101 - Analysis I;
  • Fall_2017
    • MATH221604 - Introduction to abstract math;
  • Spring_2017
    • Instructor for MATH460 - Complex variables;
  • Fall_2016
  • Fall_2016
  • Spring_2016
  • Fall_2015
    • Instructor for MATH110505 - Calculus II (AP);
  • Spring_2015
    • Instructor for Mathematics V2010 Section 001 & 002 - Linear Algebra;
  • Fall_2014
    • Instructor for Mathematics V1201 - Calculus III;
  • Spring_2013
    • Instructor for Mathematics V1102 - Calculus II;
  • Fall 2012
    • Instructor for Mathematics V2010 - Linear Algebra;
  • Spring 2012
    • Instructor for Mathematics V1202 - Calculus IV;
  • Spring 2011
    • Teaching Fellow for MATH 0200 - Multivariable Calculus;
  • Spring 2010
    • Teaching Fellow for MATH 0100 - Introductory Calculus II;
  • Fall 2008
    • Teaching Fellow for MATH 0100 - Introductory Calculus II;
  • Spring 2008
    • Teaching Asistant for MATH 0520 - Linear Algebra;
  • Fall 2007
    • Teaching Asistant for MATH 0090 - Introductory Calculus I.