Izzet Coskun

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

851 S. Morgan St. 423

Chicago, IL 60607

UIC ALGEBRAIC GEOMETRY WEBSITE

MAGIC 2010 will take place at Notre Dame on April 23-25, 2010. For more information see (MAGIC)

MRC CONFERENCE on BIRATIONAL GEOMETRY AND MODULI SPACES will take place in Snowbird, Utah June 12-18, 2010. For more information see the conference webpage(BIRATIONAL)

A CELEBRATION OF ALGEBRAIC GEOMETRY. A CONFERENCE IN HONOR OF JOE HARRIS' 60th BIRTHDAY will take place at Harvard University Science Center C on August 25-28, 2011.

Teaching:

Solutions to sample problems: Solutions I did not check the solutions. There might be some mistakes.

Seminars:

The UIC Algebraic Geometry Seminar Fall 2008 (AGS)

The UIC Graduate Student Algebraic Geometry Seminar (GradAGS)

Personal:

Editorial

Talks

MSRI March 2009, Geometric positivity in the cohomology of homogeneous varieties

Papers and preprints:

• Rigid and non-smoothable Schubert classes (pdf ).
  Any comments, corrections and suggestions very welcome.

• Towards Mori's program for the moduli space of stable maps (joint with Dawei Chen, with an appendix by Charley Crissman) (pdf).
  Submitted. Any comments, corrections and suggestions very welcome.

• Stable base locus decompositions of Kontsevich moduli spaces (joint with Dawei Chen) (pdf).
  To appear in Michigan Mathematical Journal.

• Hilbert scheme of a pair of codimension two linear subspaces (joint with Dawei Chen and Scott Nollet) (pdf).
  Submitted. Any comments, corrections and suggestions very welcome.

• Rational curves on smooth cubic hypersurfaces (joint with Jason Starr) (pdf).
  International Mathematics Research Notices Article RNP102 (2009), 16 pages, doi:10.1093/imrn/rnp102.
• Restriction varieties. (pdf).
  A revised version. Submitted. Any comments, corrections and suggestions very welcome.
• The quantum cohomology of flag varieties and the periodicity of the Schubert structure constants. (pdf)
  Mathematische Annalen vol. 346 no. 2 (2010), 419--447.
• A Littlewood-Richardson rule for partial flag varieties. (pdf).
  Currently under revision. 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). For examples see Gallery (html). Old version is available here: (pdf).
  Inventiones Mathematicae volume 176, no 2 (2009) p. 325--395
  DOI: 10.1007/s00222-008-0165-3
• Geometric positivity in the cohomology of homogeneous spaces and generalized Schubert calculus (joint with Ravi Vakil) (pdf).
  Algebraic Geometry, Seattle 2005 volume 1, p. 77--124.
• 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).
  Canadian Journal of Mathematics. vol. 61 no. 1 (2009), pages 109-123.

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

• 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 Conferences Organized:

A Conference in honor of Anatoly Libgober's 60th Birthday. October 16-18, 2009 (LIBGOBER)

The Modern Moduli Theory Workshop, February 23-27, 2009 (MODULI)

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

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

Past Semesters at UIC:

Math 552 Algebraic Geometry, Fall 2008 (math552)

Math 417 Complex Analysis, Sping 2008 and Fall 2008 (math417)

Math 330 Abstract Algebra, Fall 2007 (math330)

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: