Upcoming Talks:
- January 2023: JMM AWM Research Network Special Session, Women in Commutative Algebra (WiCA)
Selected past talks with videos available:
- August 30, 2021: CHAMP online seminar
- July 12-16, 2021: Singularities in Positive Characteristic, CIRM, Luminy
Preprints:
- Geometry of Smooth Extremal Hypersurfaces with Anna Brosowsky, Tim Ryan and Karen E. Smith
- Asymptotic Behavior of Differential Powers with Jennifer Kenkel, Lillian McPherson, Daniel Smolkin, Monroe Stephenson, and Fuxiang Yang
- Rings of Differential Operators via Algebra Retracts with Christine Berkesch, C-Y. Jean Chan, Patricia Klein, Laura Felicia Matusevich, and Janet Vassilev
- Non-Gorenstein loci of Ehrhart rings of chain and order polytopes with Mitsuhiro Miyazaki
- Symbolic and Ordinary Powers of Ideals in Hibi Rings with Daniel Smolkin and Kevin Tucker
Papers:
- Lower Bounds on the F-pure Threshold and Extremal Singularities with Zhibek Kadyrsizova, Jennifer Kenkel, Jyoti Singh, Karen E. Smith, Adela Vraciu, and Emily E. Witt, recently accepted to Transactions of the AMS
- Cubic Surfaces in Characteristic Two with Zhibek Kadyrsizova, Jennifer Kenkel, Jyoti Singh, Karen E. Smith, Adela Vraciu, and Emily E. Witt, Transactions of the AMS, 2021
- Classification of Frobenius Forms in five variables with Zhibek Kadyrsizova, Jyoti Singh, Karen E. Smith, Adela Vraciu, and Emily E. Witt, to appear in the Springer volume "Women in Commutative Algebra--Proceedings of the 2019 WICA Workshop", 2021
- An illustrated view of differential operators of a reduced quotient of an affine semigroup ring with Christine Berkesch, C-Y. Jean Chan, Patricia Klein, Laura Felicia Matusevich, and Janet Vassilev, to appear in the Springer volume "Women in Commutative Algebra--Proceedings of the 2019 WICA Workshop", 2021
- Measuring the non-Gorenstein locus of Hibi rings and normal affine semigroup rings with Jürgen Herzog and Fatemeh Mohammadi, Journal of Algebra, 2020
- The Frobenius Complexity of Hibi Rings in Journal of Pure and Applied Algebra, 2018
- F-singularities Under Generic Linkage with Linquan Ma, Rebecca R.G., William Taylor, and Wenliang Zhang, Journal of Algebra, 2018
Reasearch Experiences for Undergraduates which I've mentored:
- Lab of Geometry at Michigan project, 2022: "Maximal skew sets of lines on a Hermitian surface and a modified Bron-Kerbosch algorithm" with Anna Brosowsky (graduate mentor), Haoyu Du, Madhav Krishna, Sandra Nair (graduate mentor), and Tim Ryan (co-advisor)
- REU 2021: "Differential Closure of Ideals" with Lillian McPherson, Monroe Stephenson, and Fuxiang Yang co-advised with Jenny Kenkel and Daniel Smolkin
- REU 2020: "Hilbert Functions and Symbolic Powers of Square-Free Monomial Ideals" with Marianne Debrito and Meixuan Sun; co-advised with Tim Ryan