Papers

Ionut Ciocan-Fontanine, David Favero, Jeremy Guere, Bumsig Kim, and Mark Shoemaker, Fundamental factorization of a GLSM Part I: Construction, submitted, arXiv:1802.05247

Ionut Ciocan-Fontanine and Bumsig Kim, Quasimap wall-crossings and symmetry, to appear in Publ. Math. IHES.

Ionut Ciocan-Fontanine and Bumsig Kim, Higher genus quasimap wall-crossing for semi-positive targets, J. Eur. Math. Soc. (JEMS), 19 (2017), no. 7, 2051-2102.

Ionut Ciocan-Fontanine and Bumsig Kim, Big I-functions, "Development of moduli theory--Kyoto 2013", Adv. Stud. Pure Mat., 69, Math. Soc. Japan, [Tokyo], 2016, 323-347 (S. Mukai 60th birthday volume).

Daewoong Cheong, Ionut Ciocan-Fontanine and Bumsig Kim, Orbifold quasimap theory, Math. Ann. 363 (2015), no. 3-4, 777-816.

Ionut Ciocan-Fontanine and Bumsig Kim, Quasimap theory, Proceedings of the International Congress of Mathematicians - Seoul 2014. Vol. II, 615-633, Kyung Moon Sa, Seoul, 2014.

Ionut Ciocan-Fontanine and Bumsig Kim, Wall-crossing in genus zero quasimap theory and mirror maps, Algebr. Geom. 1 (2014), no. 4, 400-448.  

Ionut Ciocan-Fontanine, Bumsig Kim, and Davesh Maulik,  Stable quasimaps to GIT quotients, Journal of Geometry and Physics, 75 (2014), 17-47.

Kai Behrend, Ionut Ciocan-Fontanine, Junho Hwang, and Michael Rose,  The derived moduli space of stable sheaves, Algebra & Number Theory, 8(4) (2014), 781-812.

Ionut Ciocan-Fontanine, Matjaz Konvalinka, and Igor Pak,  Quantum cohomology of Hilb_n(C^2) and the weighted hook walk on Young diagrams, Journal of Algebra 349 (2012), 268-283.

Ionut Ciocan-Fontanine, Matjaz Konvalinka, and Igor Pak,  The weighted hook length formula, Journal of Combinatorial Theory, Series A 118 (2011), 1703-1717.

Ionut Ciocan-Fontanine and Bumsig Kim,  Moduli stacks of stable toric quasimaps, Advances in Math. 225 (2010), 3022-3051.

Ionut Ciocan-Fontanine, Matjaz Konvalinka, and Igor Pak,  Weighted branching formulas for the hook lengths, 22nd International Conference on Formal Power Series and Algebraic Cominatorics (FPSAC 2010), DMTCS proc. AN, 2010, 259-270.

Ionut Ciocan-Fontanine and Mikhail Kapranov, Virtual fundamental classes via dg-manifolds, Geometry and Topology 13(3), (2009), 1779-1804.

Ionut Ciocan-Fontanine, Bumsig Kim, and Claude Sabbah,  The abelian/nonabelian correspondence and Frobenius manifolds, Invent. Math., 171(2) (2008), 301-343.

Aaron Bertram, Ionut Ciocan-Fontanine, and Bumsig Kim,  Gromov-Witten invariants for abelian and nonabelian quotients, Journal of Algebraic Geometry, 17(2) (2008), 275-294.

Aaron Bertram, Ionut Ciocan-Fontanine, and Bumsig Kim,  Two proofs of a conjecture of Hori and Vafa, Duke Math. Journal, 126(1) (2005), 101-136.

Ionut Ciocan-Fontanine and Mikhail Kapranov,  Derived Hilbert schemes, J. Amer. Math. Soc. 15(4) (2002), 787-815.

Ionut Ciocan-Fontanine and Mikhail Kapranov,  Derived Quot schemes, Ann. Sci. Ecole Norm. Sup. (4) 34 (2001), no. 3, 403-440.

Victor V. Batyrev, Ionut Ciocan-Fontanine, Bumsig Kim, and Duco van Straten,  Mirror Symmetry and Toric Degenerations of Partial Flag Manifolds, Acta Mathematica, 184(1) (2000), 1-39.

Aaron Bertram, Ionut Ciocan-Fontanine, and William Fulton,  Quantum multiplication of Schur polynomials, Journal of Algebra, 219(2) (1999), 728-746.

Ionut Ciocan-Fontanine, On quantum cohomology rings of partial flag varieties, Duke Math. Journal, 98(3) (1999), 485-524. 

Victor V. Batyrev, Ionut Ciocan-Fontanine, Bumsig Kim, and Duco van Straten, Conifold Transitions and Mirror Symmetry for Calabi-Yau Complete Intersections in Grassmannians, Nucl. Phys. B, 514(1998), 640-666.

Ionut Ciocan-Fontanine and William Fulton, Quantum double Schubert polynomials , Appendix J in W. Fulton and P. Pragacz's book Schubert Varieties and Degeneracy Loci, Lecture Notes in Math. 1689(1998), 134-138.

Ionut Ciocan-Fontanine, The quantum cohomology ring of flag varieties, Transactions of the AMS, 351(7) (1999), 2695-2729.

Ionut Ciocan-Fontanine, Quantum cohomology of flag varieties, Internat. Math. Res. Notices, No. 6 (1995), 263-277.

MathSciNet Reviews