Mahrud Sayrafi @ School of Mathematics, UMN

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
• 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