Rahul Pandharipande
        Professor of Mathematics

           






My papers can be found on the arXiv. Some more recent papers are linked below.


Two papers on localization and Hodge integrals:

      I.     Localization of virtual classes (with T. Graber)
      II.   Hodge integrals and Gromov-Witten theory (with C. Faber)


Three papers on tautological classes:

      I.   Constructions of non-tautological classes (with T. Graber)
      II.   Relative maps and tautological classes (with C. Faber)
      III.   New topological recursion relations (with X. Liu)


Gromov-Witten theory, Hurwitz numbers, and matrix models (with A. Okounkov)


A trilogy (with A. Okounkov) on the Gromov-Witten theory of target curves: I, II, III

      The papers fully determine the Gromov-Witten theory of target curves.
      A calculator has been written by J. Bryan.


Conjectures equating the Gromov-Witten theory of 3-folds with the holomorphic Chern-Simons theory of
Donaldson-Thomas (with D. Maulik, N. Nekrasov, and A. Okounkov): I, II


Results related to the local theories of curves:

      I.     Local Gromov-Witten theory (with J. Bryan)
      II.   Quantum cohomology of the Hilbert scheme of points of the plane (with A. Okounkov)
      III.   Local Donaldson-Thomas theory (with A. Okounkov)


Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds (with D. Maulik, A. Oblomkov, and A. Okounkov)


A topological view of Gromov-Witten theory (with D. Maulik)
New calculations in Gromov-Witten theory (with D. Maulik)


Gromov-Witten theory and Noether-Lefschetz theory (with D. Maulik)
Noether-Lefschetz theory and the Yau-Zaslow conjecture (with A. Klemm, D. Maulik, and E. Scheidegger)


Curve counting via stable pairs in the derived category (with R. Thomas)
The 3-fold vertex via stable pairs (with R. Thomas)
Stable pairs and BPS invariants (with R. Thomas)


Counting disks on the quintic 3-fold (with J. Solomon and J. Walcher)


Enumerative geometry of Calabi-Yau 4-folds (with A. Klemm)
Enumerative geometry of Calabi-Yau 5-folds, Appendix (with A. Zinger)


Algebraic cobordism revisited (with M. Levine)


Abelian Hurwitz-Hodge integrals (with P. Johnson and H.-H. Tseng)


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