Mahrud Sayrafi @ School of Mathematics, UMN
Spring 2021: I am a participant in ICERM’s Combinatorial Algebraic Geometry program.
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
If you’d like to join or contribute to any of these activities, feel free to get in touch.
- 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
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.
I’m a staff writer for the AMS Grad Blog, which is a blog for and by math graduate students.
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.
I’m a fan of all sorts of fermented foods, anti-racist activism, and poetry.