Overview
Research Focus
Research area: Commutative Algebra
My research is centered in the field of commutative algebra, with an emphasis on its connections with geometry, topology, and combinatorics. My work has a special focus on local cohomology and modules over rings of differential operators, and on understanding the positive characteristic setting. Recently I have also become interested in formal theorem provers.
Publications
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Lower bounds on the F-pure threshold and extremal singularities, with Z. Kadyrsizova, J. Kenkel, J. Page, J. Singh, K. E. Smith, and A. Vraciu, to appear in Transactions of the American Mathematical Society
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Frobenius powers, with D. Hernández and P. Teixeira, Mathematische Zeitschrift 296 (2020), no. 1-2, 541-572
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Connectedness and Lyubeznik numbers, with L. Núñez-Betancourt and S. Spiroff, International Mathematics Research Notices 2019 (2019), no. 13, 4233-4259
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Local cohomology with support in ideals of maximal minors and sub-maximal Pfaffians, with C. Raicu and J. Weyman, Advances in Mathematics 250 (2014), 596-610.
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Local cohomology with support in ideals of maximal minors, Advances in Mathematics 231 (2012) 1998-2012
