About me

I am a fourth-year graduate student in the School of Mathematics, where I study under the guidance of Christine Berkesch. Here is my CV.

Oct. 2021: Characterizing Multigraded Regularity on Products of Projective Spaces.

June 2021: I passed my oral exam on June 16th. Here are my exam materials.

Spring 2021: I participated in ICERM’s Combinatorial Algebraic Geometry program.

Research

My interests lie in the neighborhood of algebraic geometry, commutative algebra, and intersection theory. Here are some things I’ve recently read about:

• Losev–Manin Moduli Spaces
• Toric Minimal Model Program
• Mori Dream Spaces and GKM Varieties
• Derived Category of Simplicial Toric Varieties
• Multigraded Castelnuovo–Mumford Regularity and Truncation
• Beilinson monads and the Bernstein–Gelfand–Gelfand correspondence
• Fourier–Mukai Transforms and Exceptional Collections
• Horrocks Splitting Criterion and Tate Resolutions
• Toric Vector Bundles and Virtual Resolutions
• Hilbert Schemes and Generic Ideals
• Linkage and Residual Intersections
• $D$-Modules and Hodge Ideals

I’m also interested in studying gerrymandering as a source of interesting problems in mathematics. In previous lives I’ve studied quantum information, cryptography, and radio astronomy.

Activities

If you’d like to join or contribute to any of these activities, feel free to get in touch.

Student Commutative Algebra Meeting

• Fall   2021: Research Meetings
• Spring 2021: Student talks and pre-talks for the adult seminar
• Fall   2020: On hiatus
• Spring 2020: Introductory topics and $D$-Modules
• Fall   2019: Boij-Söderberg theory

Directed Reading Program

The Directed Reading Program is a graduate student-run program that provides undergraduates with the opportunity to work closely with mathematics graduate students in an independent reading project.

Macaulay2

A main aspect of my research involves developing and implementing algorithms to study explicit examples in algebraic geometry and commutative algebra. Here are some of the packages I’ve contributed to:

• FGLM
• LocalRings
• Saturation
• Truncations
• VirtualResolutions

Always happy to chat about Macaulay2 and learn how others use it in research.

Personal

I’m a fan of all sorts of fermented foods, volcanoes, sewing, anti-racist activism, poetry, and bouldering.