Izzet Coskun

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

851 S. Morgan St. 423

Chicago, IL 60607

UIC ALGEBRAIC GEOMETRY WEBSITE

Lecture notes for the school on birational geometry of moduli spaces in Utah (NOTES)

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. For more details see (JOE 60)

Teaching:

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

XXIII National Mathematics Symposium, Kayseri Turkey, August 2010. Lecture 1, Lecture2

Papers and preprints:

• The birational geometry of the Hilbert scheme of points on the plane and Bridgeland stability. (pdf) (joint with Daniele Arcara, Aaron Bertram and Jack Huizenga)
  Very preliminary version. Comments and corrections are welcome.

• Symplectic restriction varieties and geometric branching rules. (pdf)
  Preliminary version. Comments and corrections are welcome.

• Rigidity of Schubert classes in orthogonal Grassmannians. (pdf)
  Preliminary version. Comments and corrections are welcome.

• Surfaces of low degree containing a canonical curve. (pdf)
  Submitted. Comments and corrections are welcome.

• Parameter spaces of Schubert varieties in hyperplane sections of Grassmannians (with my student Richard Abdelkerim, this is part of his thesis) (pdf)
  Journal of Pure and Applied Algebra vol. 216 (2012), 800--810.

• Singularities of generalized Richardson varieties (joint with Sara Billey) (pdf ).
  To appear in Communications in Algebra.
• Rigid and non-smoothable Schubert classes (pdf ).
  Journal of Differential Geometry vol. 87, no. 3 (2011), 493--514.

• Towards Mori's program for the moduli space of stable maps (joint with Dawei Chen, with an appendix by Charley Crissman) (pdf).
  American Journal of Mathematics vol. 133 no.5 (2011), 1389--1419.

• Stable base locus decompositions of Kontsevich moduli spaces (joint with Dawei Chen) (pdf).
  Michigan Mathematical Journal, vol. 59, no. 2 (2010), 435--466.

• Hilbert scheme of a pair of codimension two linear subspaces (joint with Dawei Chen and Scott Nollet) (pdf).
  Communications in Algebra vol. 39 no.8 (2011), 3021--3043.

• 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 and geometric branching rules. (pdf).
  Advances in Mathematics. vol. 228 no. 4 (2011), 2441--2502.
• 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

Teaching in Previous Semesters

Photos: