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Eduardo Cattani, Professor |
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| Personal Webpage |
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| Office | LGRT 1235E | | Phone | (413) 545-2858 | | Fax | (413) 545-1801 | | Email | cattani <at> math.umass.edu | |
| Mailing Address |
| Department of Mathematics and Statistics |
| Lederle Graduate Research Tower |
| University of Massachusetts |
| Amherst, MA 01003-9305 |
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| Office Hours: Monday: 4:15 to 5:15; Wednesday: 11:30 to 12:30; Thursday: 2:30 - 3:30 |
| Courses |
| Honors Calculus for Life and Social Sciences I |
| Math 127H (MWF 10:10 - 11:00 am, LGRT 123) |
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| Theory of Manifolds I |
| Math 703 (MW 2:30 - 3:45 pm, LGRT 1322) | | |
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| Education | | Ph.D. | Washington University, 1972 |
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| | L.M. | Universidad de Buenos Aires, 1967 |
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| Research Interests: Algebraic geometry and applications |
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| Professor Cattani's current research deals with the study of rational hypergeometric functions in several variables; the characterization of dual defect varieties; the study of mixed Lefschetz theorems. |
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| Selected Publications |
| E. Cattani. Mixed Lefschetz Theorems and Hodge-Riemann Bilinear Relations. International Mathematics Research Notices, doi:10.1093/imrn/rnm025, 2008. |
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| R. Curran and E.Cattani. Restriction of $A$-discriminants and Dual Defect Varieties. Journal of Symbolic Computation, 42, 115-135, 2007. |
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| E. Cattani and A. Dickenstein. Counting Solutions to Binomial Complete Intersections. Journal of Complexity, 23, 82-107, 2007. |
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| E. Cattani, A. Dickenstein, and B. Sturmfels. Rational hypergeometric functions. Compositio Math., 128, 217-240, 2001. |
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| E. Cattani, A. Dickenstein, and B. Sturmfels. Residues and Resultants. J. Math. Sci. Univ. Tokyo, 5, 119-148, 1998. |
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| E. Cattani, D. Cox and A. Dickenstein. Residues in Toric Varieties. Compositio Math., 108, 35-76, 1997. |
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| E. Cattani, P. Deligne, and A. Kaplan. On the Locus of Hodge Classes. Journal of the American Mathematical Society, 8, 483-506, 1995. |
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| E. Cattani, A. Kaplan, and W. Schmid. L2 and intersection cohomologies for a polarizable variation of Hodge structure. Inventiones Math., 87, 217-252, 1987. |
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| E. Cattani, A. Kaplan, and W. Schmid. Degeneration of Hodge structures. Annals of Mathematics., 123, 457-535, 1986. |
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| 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. |
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