## Mahrud Sayrafi @ School of Mathematics, UMN

- PhD Student
- 557 Vincent Hall

206 Church St SE

Minneapolis, MN 55455 - mahrud [at] math.umn.edu
- Pronouns: He/Him

### About me

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

**Spring 2021**: I am a participant 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:

- Multigraded Castelnuovo-Mumford Regularity and Quasi-linear Truncations
- 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
- $D$-Modules and Hodge Ideals
- Linkage and Residual Intersections
- Hilbert Schemes and Generic 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

- 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.

### AMS Grad Blog

I’m a staff writer for the AMS Grad Blog, which is a blog for and by math graduate students.

### 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:

I occasionally record random bits of Macaulay2-fu in my journal.

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, anti-racist activism, and poetry.