About me

I am a Britton postdoctoral fellow at McMaster University in Canada.

Previously, I was a postdoc at the Nonlinear Algebra group at MPI MiS in Leipzig, Germany.
I obtained my PhD from University of Minnesota in May 2024, advised by Christine Berkesch.

I am on the job market. My CV is here, and here are some recent updates and upcoming plans:

• Jan. 2026: Joint Math Meetings in Washington, D.C.
• Sep. 2025: Singularities, D-modules, and Connections to Physics at BIRS.
• Aug. 2025: Mirror symmetry and syzygies at AIM.
• New: Computing Direct Sum Decompositions to appear in Journal of Symbolic Computation!
• New: Connection Matrices in Macaulay2.
• New: Splitting of vector bundles on toric varieties.
• Updated: Bounds on Multigraded Regularity.
• Updated: Characterizing Multigraded Regularity and Virtual Resolutions on $\mathbb P^n\times\dots\times\mathbb P^m$.

Research

My research area is multigraded commutative algebra, particularly in the setting of toric geometry. Roughly speaking, I’m interested in using derived categories to translate the book Geometry of Syzygies to the toric setting and beyond.

Things I’ve recently thought about:

• Green’s $N_p$ conditions for subvarieties of toric varieties
• Projectivized toric vector bundles and complexity one $T$-varieties
• GIT fan and truncations of modules over Cox rings
• $F$-thickness of del Pezzo surfaces and other Mori dream spaces
• Fourier–Mukai transforms and exceptional collections in derived categories
• Beilinson monads and homological mirror symmetry
• Horrocks splitting criterion and virtual resolutions
• $K$-equivalence and $D$-equivalence

Activities

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

Dec. 2025: CA-AG at the CMS Winter Meeting

With Adam and Giulia, we are planning a commutative algebra special session in Toronto.
A parallel session planned by Megumi, Brett, and Sasha focuses on algebraic geometry instead.

July 2025: M2 🤝 SIAM AAG

With Thomas B. and Thomas Y., we organized a Macaulay2 workshop in Madison.

Nov. 2024: M2 in the Sciences 🧑‍🔬

With Ben, we organized a Macaulay2 workshop in Leipzig, Germany.

June 2023: M2Week 🧑‍💻

With Ayah, Christine, Tim, and Mike, we organized a Macaulay2 workshop and mini-school.

May 2022: GradMoCCA ☕

With Christine, Caitlyn, and Connor, we held a graduate student conference in Minneapolis.

Macaulay2 Research Group

Together with several other postdocs and early-career researchers, we started a focused research group called the M2 Potluck Collective, where we work on computational obstructions in our research.

More generally, developing and implementing algorithms to study explicit examples in algebraic geometry and commutative algebra is an aspect of my research. Some packages I’ve contributed to:

Commutative Algebra (DirectSummands, Isomorphism, Truncations, FGLM, LocalRings),
Algebraic Geometry (Varieties, VirtualResolutions, NormalToricVarieties),
Algebraic Analysis (HolonomicSystems, ConnectionMatrices),
and various improvements in the core, engine, and interpreter of Macaulay2.

Directed Reading Program

The Directed Reading Program is a graduate student-run program that matches undergraduates with mathematics graduate students in independent reading projects followed by presentations.

You can read about the DRP in the School of Mathematics Critical Points newsletter!

Old News

Travel, talks, papers, et cetera:

• Apr. 2025: Toric Geometry Workshop at Oberwolfach.
• Spring 2025: Fields semester in Commutative Algebra and Applications in Toronto.
• Oct. 2024: Group actions, combinatorial methods, and Fano varieties in Innsbruck.
• Sep. 2024: Syzygies and Hilbert Schemes in Kraków, Poland.
• Sep. 2024: School on Deformation Theory IV in Rome, Italy.
• Jul. 2024: Effective Methods in Algebraic Geometry in Leipzig, Germany.
• May 2024: I defended my dissertation on May 7th. Here are my exam materials.
• May 2024: AMS sectional meeting in San Francisco.
• Spring 2024: SLMath semester in Commutative Algebra (~2 weeks/month).
• Jan. 2024: Joint Math Meetings in San Francisco, CA.
• Dec. 2023: Iberoamerican Congress on Geometry at Pucón, Chile 🌋.
• Nov. 2023: WAGS at Washington University in St. Louis.
• Oct. 2023: A short resolution of the diagonal for bigraded smooth projective toric varieties is accepted!
• Oct. 2023: AMS sectional meeting in Omaha, Nebraska.
• Sep. 2023: Syzygies and mirror symmetry at AIM.
• Sep. 2023: Macaulay2 workshop at AIM.
• 2023–24: Doctoral Dissertation Fellowship from University of Minnesota
• July 2023: SIAM AAG23 in Eindhoven, NL.
• July 2023: GAeL XXX in Warwick, UK.
• June 2023: Derived Categories MRC.
• May 2023: TA at MSRI/CMND summer school.
• Apr. 2023: CA+ Conference in Minneapolis, Minnesota.
• Apr. 2023: Syzygies and Regularity graduate workshop in Chicago, Illinois.
• Mar. 2023: AMS sectional meeting in Atlanta, Georgia.
• Dec. 2022: Graduate Workshop on Birational Geometry at SCGP, New York.
• Fall 2022: AMS sectional meetings in El Paso, Texas and Salt Lake City, Utah.
• Fall 2022: WAGS at UC Riverside.
• Aug. 2022: Bounds on Multigraded Regularity.
• July 2022: Derived Minischool in Ann Arbor, Michigan.
• June 2022: PASCA summer school in Guanajuato, Mexico.
• 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: ICERM’s Combinatorial Algebraic Geometry program (virtual).
• Nov. 2020: Blog post on the AMS Capital Currents Blog.
• Dec. 2019: Blog post on the AMS Grad Blog.

Here are some activities I’ve been involved with in the past:

Student Commutative Algebra Meeting

• Spring 2023: (informal) Research Meetings
• Fall   2022: (informal) Research Meetings
• Spring 2022: Research Meetings
• 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

Personal

I’m a fan of fermented foods, volcanoes, sewing & mending, anti-racism, biking, and backpacking.
I also like radio astronomy, anti-gerrymandering, cryptography, and privacy as a human right.