Claudia Polini

Professor, Glynn Family Honors Collegiate Professor of Mathematics

Education

B.S. (Laurea), Università degli Studi di Padova, Padova (Italy), 1990
Ph.D., Rutgers University, 1995

Research Group

Algebra and Algebraic Geometry

Research Area

Algebraic geometry

Bio

Research Interests

Commutative Algebra and its interactions with Algebraic Geometry. I am particularly interested in the theory of linkage and residual intersections; blow-up algebras, such as Rees algebras, symmetric algebras, special fiber rings, and associated graded rings; objects associated to an ideal such as its integral closure, its core and its reductions; and Hilbert functions.

Selected Publications

• A. Corso, C. Polini and B. Ulrich. Core and residual intersections of ideals. Trans. Amer. Math. Soc., to appear.
• A. Corso, C. Polini and B. Ulrich. The structure of the core of ideals. Math. Ann., to appear.
• A. Corso and C. Polini. Strongly Cohen-Macaulay ideals of small second analytic deviation. Bull. London Math. Soc., to appear.
• A. Corso and C. Polini. On residually S2 ideals and projective dimension one modules Proc. Amer. Math. Soc. 129 (2001), 1309-1315.
• C. Polini and B. Ulrich. Necessary and sufficient conditions for the Cohen-Macaulayness of blowup algebras. Compositio Math. 119 (1999), 189-211.
• C. Polini and B. Ulrich. Linkage and reduction numbers. Math. Ann. 310 (1998), 631-651.
• A. Corso, C. Polini and W.V. Vasconcelos. Links of prime ideals. Math. Proc. Camb. Phil. Soc. 115 (1994), 431-436.