Eduardo Cattani
Emeritus Professor
Location
LGRT 1568
Education
Ph.D. Washington University, 1972
L.M. Universidad de Buenos Aires, 1967
RESEARCH INTERESTS
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.