Izzet Coskun

E-mail: Last name at math.uic.edu

851 S. Morgan St. 423

Chicago, IL 60607

UIC ALGEBRAIC GEOMETRY WEBSITE

The Modern Moduli Theory Workshop, February 23-27, 2009 will take place at MSRI, Berkeley. This workshop is part of the Jumbo Semester in Algebraic Geometry. For more information click here

The Midwest Commutative Algebra and Algebraic Geometry workshop: 2nd Bluegrass Algebra Conference will take place March 6-8, 2009 at the University of Kentucky Lexington. See html for more details

Teaching:

Seminars:

The UIC Algebraic Geometry Seminar Fall 2008 (AGS)

The UIC Graduate Student Algebraic Geometry Seminar (GradAGS)

Personal:

Papers and preprints:

• Rational curves on smooth cubic hypersurfaces (joint with Jason Starr) (pdf).
  Preliminary version. Any comments, corrections and suggestions very welcome.
• Restriction varieties. (pdf).
  Submitted. Any comments, corrections and suggestions very welcome.
• The quantum cohomology of flag varieties and the periodicity of the Littlewood-Richardson coefficients. (pdf)
  Submitted. Any comments, corrections, suggestions are welcome.
• A Littlewood-Richardson rule for partial flag varieties. (pdf).
  This is a preliminary version of a Littlewood-Richardson rule for arbitrary partial flag varieties. Any comments, corrections and suggestions are welcome.
  GALLERY (html)
• A Littlewood-Richardson rule for two-step flag varieties (pdf).
  To appear in Invent. Math.
• Geometric positivity in the cohomology of homogeneous spaces and generalized Schubert calculus (joint with Ravi Vakil) (pdf).
  To appear in the Seattle Proceedings.
• The cohomology of the space of k-planes on quadrics. Coming soon
• Divisors on the space of maps to Grassmannians (joint with Jason Starr). (pdf).
  International Mathematics Research Notices, vol. 2006, Article ID 35273, 25 pages, 2006.
• The effective cone of the Kontsevich moduli space (joint with Joe Harris and Jason Starr). (pdf).
  Canadian Mathematical Bulletin. vol. 51 no. 4 (2008), pages 519-534.
• The ample cone of the Kontsevich moduli space (joint with Joe Harris and Jason Starr) (pdf).
  To appear in the Canadian Journal of Mathematics.

• Gromov-Witten invariants of jumping curves (pdf).
  Transactions of the American Mathematical Society. 360 (2008), p. 989-1004.

• A Littlewood-Richardson rule for two-step flag varieties (pdf). Old version: now replaced by the version above.
  Gallery (html).

• Degenerations of surface scrolls and Gromov-Witten invariants of Grassmannians (pdf).
  Journal of Algebraic Geometry. 15 (2006), p. 223-284.

• The enumerative geometry of Del Pezzo surfaces via degenerations (pdf).
  American Journal of Mathematics. vol. 128 no. 3 (2006), p. 751-786.

• The arithmetic and the geometry of Kobayashi hyperbolicity (pdf).
  Snowbird lectures in algebraic geometry. Contemporary Mathematics, vol 388 (2005) p. 77-88.

• A first glimpse at the minimal model program (pdf). (with 8 coauthors)
  Snowbird lectures in algebraic geometry. Contemporary Mathematics, vol 388 (2005) p. 17-42.

• Degenerations of scrolls and Del Pezzo surfaces and applications to enumerative geometry,
  Thesis, Harvard University, 2004.

Past Semesters at UIC:

Math 330 Abstract Algebra, Fall 2007 (math330)

A Conference to celebrate Robin Hartshorne's 70th\ birthday, April 11-13 2008 (HARTSHORNE)

Midwest Number Theory Days, March 7-8 2008 (MNTD)

The UIC Algebraic Geometry Seminar (AGS)

Past Semesters at MIT:

Math 18.726 Algebraic Geometry, Spring 2007 (html).

Math 18.727--Topics in Algebraic Geometry: Positivity in Algebraic Geometry Fall 2006 (html)

Math 18.727--Topics in Algebraic Geometry: Intersection theory on moduli spaces. Spring 2006 (html).

Math 18.100B--Analysis I. Fall 2005 (html)

Math 18.781--The Theory of Numbers. Fall 2004 (html)

Photos: