Recent Work

• On the quantum cohomology of a symmetric product of an algebraic curve (math.AG/9803026)
  Quantum products of cohomology classes are computed for many symmetric products of an algebraic curve (joint work with M. Thaddeus) dvi | ps
  
  
• Another way to enumerate rational curves with torus actions (math.AG/9905159)
  A new and very simple proof of the mirror conjecture for Fano and Calabi-Yau complete intersections in P^n is given dvi | ps
  
  
• The formula 12 = 10 + 2x1 and its generalizations: counting rational curves on F2
  Gromov-Witten invariants for the Hirzebruch surface F2 are computed via the deformation to P^1 x P^1 (joint work with D. Abramovich) dvi | ps
  
  
• On rank two vector bundles with canonical determinant and many sections
  The Brill-Noether loci of vector bundles of rank two on a curve are investigated (joint work with B. Feinberg) dvi | ps
  
  
• Some applications of localization to enumerative problems (math.AG/0007083)
  The localization theorem from equivariant cohomology is applied to Schubert calculus and genus-zero Gromov-Witten invariants dvi | ps
  
  
• New recursions for genus-zero Gromov-Witten invariants (math.AG/0007082)
  One-point invariants are shown to determine all genus-zero Gromov-Witten invariants in many cases (joint work with H. Kley) dvi | ps
  
  
• Using symmetry to count rational curves (math.AG/0103105)
  An alternative to the WDVV equations is presented (based upon work with Kley) dvi | ps
  

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