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| Publications | Integral extensions and the $a$-invariant (with A. Kustin and B. Ulrich), submitted. |
| j-multiplicity and the depth of associated graded modules (with Y. Xie), submitted. | |
| A study of singularities on rational curves via syzygies (with D. Cox, A. Kustin, and B. Ulrich), to appear in Mem. Amer. Math. Soc.. | |
| Rational normal scrolls and the defining equations of Rees algebras (with A. Kustin and B. Ulrich), J. reine angew. Math. 650 (2011), 23-65. | |
| Annihilators of Graded Components of the Canonical Module and the Core of Standard Graded Algebras (with L. Fouli and B. Ulrich), Trans. Amer. Math. Soc. 362 (2010), 6183-6203. | |
| Divisors on rational normal scrolls (with A. Kustin and B. Ulrich), J. Algebra 332 (2009), 1748-1773. | |
| The core of ideals in arbitrary characteristic (with L. Fouli and B. Ulrich), Michigan Math. J. 57 (2008), 305-319. | |
| The core of zero-dimensional monomial ideals (with B. Ulrich and M. Vitulli), Adv. Math. 72 (2007), 72-93. | |
| Hilbert coefficients of ideals with a view toward blowup algebras (with A. Corso), in Syzygies and Hilbert Functions, Lecture Notes in Pure and Applied Mathematics 254 (2007), 41-65. | |
| Multiplicity of the special fiber of blowups (with A. Corso and W. Vasconcelos), Math. Proc. Camb. Philos. Soc. 140 (2006), 207-219. | |
| Normalization of ideals and Briançon-Skoda numbers (with B. Ulrich and W. Vasconcelos), Math. Res. Lett. 12 (2005), 10001-10016. | |
| Depth of associated graded rings via Hilbert coefficients of ideals (with A. Corso and M. Rossi), J. Pure Appl. Algebra 201 (2005), 126-141. | |
| A formula for the core of an ideal (with B. Ulrich), Math. Ann. 331 (2005), 89-105. | |
| Core of projective dimension one modules (with A. Corso and B. Ulrich), manuscripta math. 111 (2003), 427-433. | |
| Cohen-Macaulayness of special fiber rings (with A. Corso, L. Ghezzi and B. Ulrich), Comm. Algebra 31 (special issue in honor of S. Kleiman) (2003), 3713-3734. | |
| Core and residual intersections of ideals (with A. Corso and B. Ulrich), Trans. Amer. Math. Soc. 354 (2002), 2579-2594. | |
| The structure of the core of ideals (with A. Corso and B. Ulrich), Math. Ann. 321 (2001), 89-105. | |
| Strongly Cohen-Macaulay ideals of small second analytic deviation (with A. Corso), Bull. London. Math. Soc. 33 (2001), 662-668. | |
| On residually S2 ideals and projective dimension one modules (with A. Corso), Proc. Amer. Math. Soc. 129 (2001), 1309-1315. | |
| A filtration of the Sally module and the associated graded ring of an ideal, Comm. Algebra 28 (2000), 1335-1341. | |
| Necessary and sufficient conditions for the Cohen-Macaulayness of blowup algebras (with B. Ulrich), Compositio Math. 119 (1999), 185-207. | |
| Sally modules and associated graded rings (with A. Corso and M. Vaz Pinto), Comm. Algebra 26 (1998), 2689-2708. | |
| Linkage and reduction numbers (with B. Ulrich), Math. Ann. 310 (1998), 631-651. | |
| Reduction number of links of irreducible varieties (with A. Corso), J. Pure & Appl. Algebra 121 (1997), 29-43. | |
| Links of prime ideals and their Rees Algebra (with A. Corso), J. Algebra 178 (1995), 224-238. | |
| Studies on Singularities, Thesis, Rutgers University, 1995. | |
| Links of prime ideals (with A. Corso and W.V. Vasconcelos), Math. Proc. Camb. Phil. Soc. 115 (1994), 431-436. | |
|
On approximate modeling of linear
Gaussian processes
(with A. Gombani), in New Directions in
Time Series Analysis Part II,
The IMA volumes in Mathematics and its Applications
46, Springer-Verlag (1991), 177-193.
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| Book Edited |
Commutative Algebra and Its Connections to Geometry (A. Corso and C. Polini, Eds.), Contemp. Math. 555, Amer. Math. Soc., Providence, RI, 2011. |
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Algebra, Geometry and their Interactions: MAGIC'05 (A. Corso, J. Migliore and C. Polini, Eds.), Contemp. Math. 448, Amer. Math. Soc., Providence, RI, 2007. |
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Commutative Algebra.
Interactions with Algebraic Geometry (L. Avramov, M. Chardin, C. Polini and M. Morales Eds.), Contemp. Math. 331, Amer. Math. Soc., Providence, RI, 2003. |
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| Work in Progress | Indices of Normalization of Ideals (with B. Ulrich, W. Vasconcelos and R. Villarreal), preprint. |
| The bigraded structure of Symmetric Algebras with applications to Rees rings (with A. Kustin and B. Ulrich), preprint. | |
| Blowups and fibers of morphisms (with A. Kustin and B. Ulrich), in preparation. | |
| The core of monomial ideals (with B. Ulrich), in preparation. |