LGRT 1568


Ph.D. Washington University, 1972

L.M. Universidad de Buenos Aires, 1967


Algebraic geometry and applications

Professor Cattani's current research deals mainly with the study of Hodge theory.

Selected Publications

  • E. Cattani and A. Dickenstein. Non-splitting flags, iterated circuits, sigma-matrices and Cayley configurations.  Vietnam J. Math.  50, 679--706, 2022.
  • E. Cattani, F. El Zein, P. A. Griffiths, L. D. Trang (eds). Hodge Theory. Mathematical Notes 49, Princeton University Press, 2013.
  • E. Cattani, A. Dickenstein, and F. Rodriguez-Villegas. The structure of bivariate hypergeometric functions. International Mathematics Research Notices, doi:10.1093/imrn/rnq168, 2010.
  • E. Cattani. Mixed Lefschetz Theorems and Hodge-Riemann Bilinear Relations. International Mathematics Research Notices, doi:10.1093/imrn/rnm025, 2008.
  • R. Curran and E.Cattani. Restriction of A-discriminants and Dual Defect Varieties. Journal of Symbolic Computation, 42, 115-135, 2007.
  • E. Cattani, A. Dickenstein, and B. Sturmfels. Rational hypergeometric functions. Compositio Math., 128, 217-240, 2001.
  • E. Cattani, A. Dickenstein, and B. Sturmfels. Residues and Resultants. J. Math. Sci. Univ. Tokyo, 5, 119-148, 1998.
  • E. Cattani, D. Cox and A. Dickenstein. Residues in Toric Varieties. Compositio Math., 108, 35-76, 1997.
  • E. Cattani, P. Deligne, and A. Kaplan. On the Locus of Hodge Classes. Journal of the American Mathematical Society, 8, 483-506, 1995.
  • E. Cattani, A. Kaplan, and W. Schmid. L2 and intersection cohomologies for a polarizable variation of Hodge structure. Inventiones Math., 87, 217-252, 1987.
  • E. Cattani, A. Kaplan, and W. Schmid. Degeneration of Hodge structures. Annals of Mathematics., 123, 457-535, 1986.
  • E. Cattani and A. Kaplan. Polarized mixed Hodge structures and the local monodromy of a variation of Hodge structure. Inventiones Math., 67, 101-115, 1982.