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)
Curves on K3 surfaces and modular forms (with D. Maulik and R. Thomas)


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)
Algebraic cobordism for bundles on varieties (with Y.-P. Lee)


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


Tropical vertex group (with M. Gross and B. Siebert)
Quivers, curves, and the tropical vertex (with M. Gross)


Moduli of stable quotients (with A. Marian and D. Oprea)
Related papers on tautological rings of the moduli of curves of compact type: I, II


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