Ciocan-Fontanine, Ionut
Distinguished Research Fellow
Research Fields: Algebraic geometry, Moduli spaces, Gromov-Witten theory,
Email : ciocan@gate.sinica.edu.tw
Extension : 711
Algebraic geometry, moduli spaces, Gromov-Witten theory.
- Master in Mathematics University of Bucharest, Romania 1991
- Ph.D. in Mathematics University of Utah 1992 - 1996/6
- KIAS Scholar Korea Institute for Advanced Study 2007 - present
- Professor University of Minnesota 2010-2023
- Associate Professor University of Minnesota 2004-2010
- Assistant Professor University of Minnesota 2000-2004
- Ralph P. Boas Assistant Professor Northwestern University 1998-2000
- Visiting Assistant Professor Oklahoma State University 1997-1998
- Postdoctoral Fellow Institut Mittag-Leffler, The Royal Academy of Sciences, Stockholm, Sweden 1996-1997
- (with David Favero, Jérémy Guéré, Bumsig Kim, and Mark Shoemaker) "Fundamental factorization of a GLSM Part II: CohFT Axioms", Preprint, 2023
- (with David Favero, Jérémy Guéré, Bumsig Kim, and Mark Shoemaker) "Fundamental factorization of a GLSM Part I: Construction", Memoirs Amer. Math. Soc., 289 (1435 ), 2023
- (with Bumsig Kim) "Quasimap wall-crossings and mirror symmetry", Publ. Math. IHES, 131, 201-260, 2020
- (with Bumsig Kim) "Higher genus quasimap wall-crossing for semi-positive targets", J. Eur. Math. Soc. (JEMS), 19 (7), 2051-2102, 2017
- (with Bumsig Kim) "Big I-functions", Advanced Studies in Pure Mathematics, Development of moduli theory - Kyoto 2013 (Mukai 60th birthday volume), 69, 323-347, 2016
- (with Daewoong Cheong and Bumsig Kim) "Orbifold quasimap theory", Math. Annalen, 363 (3), 777-816, 2015
- (with Bumsig Kim) "Quasimap theory", Proceedings of the ICM 2014 Seoul, vol.II, 615-633, 2014
- (with Bumsig Kim) "Wall-crossing in genus zero quasimap theory and mirror maps", Algebraic Geometry, 4, 400-448, 2014
- (with Kai Behrend, Junho Hwang, and Michael Rose) "The derived moduli space of stable sheaves", Algebra & Number Theory, 8 (4), 781-812, 2014
- (with Bumsig Kim and Davesh Maulik) "Stable quasimaps to GIT quotients", Journal of Geometry and Physics, 75, 17-47, 2014
- (with Matjaz Konvalinka and Igor Pak) "Quantum cohomology of Hilb$_n$($C^2$) and the weighted hook walk on Young diagrams", Journal of Algebra, 349, 268-283, 2012
- (with Matjaz Konvalinka and Igor Pak) "The weighted hook-length formula", Journal of Combinatorial Theory, Series A, 118, 1703-1717, 2011
- (with Matjaz Konvalinka and Igor Pak) "Weighted branching formulas for the hook lengths", 22nd Internat. Conference on Formal Power Series and Algebraic Cominatorics (FPSAC 2010), DMTCS proc. AN, 259-270, 2010
- (with Bumsig Kim) "Moduli stacks of stable toric quasimaps", Advances in Math. , 225, 3022-3051, 2010
- (with Mikhail Kapranov) "Virtual fundamental classes via dg-manifolds", Geometry & Topology, 13 (3), 1779-1804, 2009
- (with Bumsig Kim and Claude Sabbah) "The abelian/nonabelian correspondence and Frobenius manifolds", Invent. Math, 171 (2), 301-343, 2008
- (with Aaron Bertram and Bumsig Kim) "Gromov-Witten invariants for abelian and nonabelian quotients", Journal of Algebraic Geometry, 17 (2), 275-294, 2008
- (with Aaron Bertram and Bumsig Kim) "Two proofs of a conjecture of Hori and Vafa", Duke Math. Journal, 126 (1), 101-136, 2005
- (with Mikhail Kapranov) "Derived Hilbert schemes", Journal Amer. Math. Soc., 15 (4), 787-815, 2002
- (with Mikhail Kapranov) "Derived Quot schemes", Ann. Sci. École Norm. Sup., 34, 403-440, 2001
- (with Victor V. Batyrev, Bumsig Kim, and Duco van Straten) "Mirror symmetry and toric degenerations of partial flag manifolds", Acta Mathematica, 184 (1), 1-39, 2000
- (with Aaron Bertram and William Fulton) "Quantum multiplication of Schur polynomials", Journal of Algebra, 219, 728-746, 1999
- "On quantum cohomology rings of partial flag varieties", Duke Math. Journal , 98 (3), 485-524, 1999
- "The quantum cohomology ring of flag varieties", Transactions Amer. Math. Soc., 351 (7), 2695-2729, 1999
- (with William Fulton) "Quantum double Schubert polynomials, Appendix J in the book ”Schubert Varieties and Degeneracy Loci “ by W. Fulton and P. Pragacz", Lecture Notes in Mathematics, 1689, 134-138, 1998
- (with Victor V. Batyrev, Bumsig Kim, and Duco van Straten) "Conifold transitions and mirror symmetry for Calabi-Yau complete inter- sections in Grassmannians", Nuclear Physics B., 514, 640-666, 1998
- "Quantum cohomology of flag varieties", Internat. Math. Res. Notices, 263-277, 1995