EMILY E. WITT

RESEARCH INTERESTS

SOFTWARE

Coauthor of the following packages for the open-source software system Macaulay2 devoted to supporting research in algebra and algebraic geometry:

PAPERS

My research is partially supported by NSF CAREER Award DMS-1945611
  • Bernstein's inequality and holonomicity for certain singular rings, with J. Àlvarez Montaner, J. Jeffries, D. J. Hernández, L. Núñez-Betancourt, and P. Teixeira, submitted (2021)
  • 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
  • Bernstein-Sato functional equations, V-filtrations, and multiplier ideals of direct summands, with J. Àlvarez Montaner, J. Jeffries, D. J. Hernández, L. Núñez-Betancourt, and P. Teixeira, to appear in Communications in Contemporary Mathematics
  • Classifications of Frobenius forms in five variables, with Z. Kadyrsizova, J. Kenkel, J. Page, J. Singh, K. E. Smith, and A. Vraciu, to appear in Springer AWM Series
  • Cubic surfaces of characteristic two, with Z. Kadyrsizova, J. Kenkel, J. Page, J. Singh, K. E. Smith, and A. Vraciu, Transactions of the American Mathematical Society 374 (2021), 6251-6267
  • The FrobeniusThresholds package for Macaulay2, with D. Hernández, K. Schwede, and P. Teixeira, Journal of Software for Algebra and Geometry 11 (2021), no. 1, 25-39
  • Frobenius powers, with D. Hernández and P. Teixeira, Mathematische Zeitschrift 296 (2020), no. 1-2, 541-572
  • Frobenius powers of some monomial ideals, with D. Hernández and P. Teixeira, Journal of Pure and Applied Algebra 224 (2020) no. 1, 66-85
  • Connectedness and Lyubeznik numbers, with L. Núñez-Betancourt and S. Spiroff, International Mathematics Research Notices 2019 (2019), no. 13, 4233-4259
  • Lyubeznik numbers and injective dimension in mixed characteristic, with D. J. Hernández, L. Núñez-Betancourt, and F. Pérez, Transactions of the American Mathematical Society 371 (2019) no. 11, 7533-7557
  • The TestIdeals package for Macaulay2, with A. Boix, D. Hernández, Z. Kadyrizova, M. Katzman, S. Malec, M. Robinson, K. Schwede, D. Smolkin, and P. Teixeira, Journal of Software for Algebra and Geometry 9 (2019), no. 2, 89-110
  • Cohomological dimension, Lyubeznik numbers, and connectedness in mixed characteristic, with D. J. Hernández, L. Núñez-Betancourt, and F. Pérez, Journal of Algebra 514 (2018), 442-467
  • Local m-adic constancy of F-pure thresholds and test ideals, with D. J. Hernández and L. Núñez-Betancourt, Mathematical Proceedings of the Cambridge Philosophical Society 164 (2018) no. 2, 285-295
  • On the behavior of singularities at the F-pure threshold, with E. Canton, D. J. Hernández, and K. Schwede, Illinois Journal of Mathematics 60 (2016), no. 3-4, 669-685
  • A survey on the Lyubeznik numbers, with L. Núñez-Betancourt and W. Zhang, Contemporary Mathematics (AMS) 657 (2016), 137-163
  • F-pure thresholds of homogeneous polynomials, with D. J. Hernández, L. Núñez-Betancourt, and W. Zhang, Michigan Mathematical Journal 65 (2016), 57-87
  • Generalized Lyubeznik numbers, with L. Núñez-Betancourt, Nagoya Mathematical Journal 215 (2014), 169-201
  • 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.
  • Lyubeznik numbers in mixed characteristic, with L. Núñez-Betancourt, Mathematical Research Letters 20 (2013) no. 6, 1-19.
  • Local cohomology with support in ideals of maximal minors, Advances in Mathematics 231 (2012) 1998-2012