Institute of Mathematics
Academia Sinica
    You are here:  
  1. Home
    2.   ⇒  
  2. People
    3.   ⇒  
  3. Academic Staff
    You are here: 
  1. Home
    2.   ⇒  
  2. People
    3.   ⇒  
  3. Academic Staff
Distinguished Research Fellow |   Ciocan-Fontanine, Ionut
Contact Information
  • ciocan$\color{red}{@}$gate.sinica.edu.tw
  • +886 2 2368-5999 ext. 711
  • +886 2 2368-9771
Research Interests
  • Algebraic geometry
  • Moduli spaces
  • Gromov-Witten theory
Education
  • Ph.D. in Mathematics University of Utah (1992 - 1996/6)
  • Master in Mathematics University of Bucharest, Romania (1991)
Links
Work Experience
  • Professor University of Minnesota 2010-2023
  • KIAS Scholar Korea Institute for Advanced Study 2007 - present
  • 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
Research Descriptions

Algebraic geometry, moduli spaces, Gromov-Witten theory.

Selected Publications
  1. (with David Favero, Jérémy Guéré, Bumsig Kim, and Mark Shoemaker) "Fundamental factorization of a GLSM Part II: CohFT Axioms" , Preprint , 2023.
  2. (with David Favero, Jérémy Guéré, Bumsig Kim, and Mark Shoemaker) "Fundamental factorization of a GLSM Part I: Construction" , appear in Memoirs Amer. Math. Soc. , 2023.
  3. (with Bumsig Kim) "Quasimap wall-crossings and mirror symmetry" , Publ. Math. IHES , 131, 201-260, 2020.
  4. (with Bumsig Kim) "Higher genus quasimap wall-crossing for semi-positive targets" , J. Eur. Math. Soc. (JEMS) , 19 (7), 2051-2102, 2017.
  5. (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.
  6. (with Daewoong Cheong and Bumsig Kim) "Orbifold quasimap theory" , Math. Annalen , 363 (3), 777-816, 2015.
  7. (with Bumsig Kim) "Quasimap theory" , Proceedings of the ICM 2014 Seoul, vol.II , 615-633, 2014.
  8. (with Bumsig Kim) "Wall-crossing in genus zero quasimap theory and mirror maps" , Algebraic Geometry , 4, 400-448, 2014.
  9. (with Kai Behrend, Junho Hwang, and Michael Rose) "The derived moduli space of stable sheaves" , Algebra & Number Theory , 8 (4), 781-812, 2014.
  10. (with Bumsig Kim and Davesh Maulik) "Stable quasimaps to GIT quotients" , Journal of Geometry and Physics , 75, 17-47, 2014.
  11. (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.
  12. (with Matjaz Konvalinka and Igor Pak) "The weighted hook-length formula" , Journal of Combinatorial Theory, Series A , 118, 1703-1717, 2011.
  13. (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.
  14. (with Bumsig Kim) "Moduli stacks of stable toric quasimaps" , Advances in Math. , 225, 3022-3051, 2010.
  15. (with Mikhail Kapranov) "Virtual fundamental classes via dg-manifolds" , Geometry & Topology , 13 (3), 1779-1804, 2009.
  16. (with Bumsig Kim and Claude Sabbah) "The abelian/nonabelian correspondence and Frobenius manifolds" , Invent. Math , 171 (2), 301-343, 2008.
  17. (with Aaron Bertram and Bumsig Kim) "Gromov-Witten invariants for abelian and nonabelian quotients" , Journal of Algebraic Geometry , 17 (2), 275-294, 2008.
  18. (with Aaron Bertram and Bumsig Kim) "Two proofs of a conjecture of Hori and Vafa" , Duke Math. Journal , 126 (1), 101-136, 2005.
  19. (with Mikhail Kapranov) "Derived Hilbert schemes" , Journal Amer. Math. Soc. , 15 (4), 787-815, 2002.
  20. (with Mikhail Kapranov) "Derived Quot schemes" , Ann. Sci. École Norm. Sup. , 34, 403-440, 2001.
  21. (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.
  22. (with Aaron Bertram and William Fulton) "Quantum multiplication of Schur polynomials" , Journal of Algebra , 219, 728-746, 1999.
  23. "On quantum cohomology rings of partial flag varieties" , Duke Math. Journal , 98 (3), 485-524, 1999.
  24. "The quantum cohomology ring of flag varieties" , Transactions Amer. Math. Soc. , 351 (7), 2695-2729, 1999.
  25. (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.
  26. (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.
  27. "Quantum cohomology of flag varieties" , Internat. Math. Res. Notices , 263-277, 1995.
Director & Deputy Director