**Graduate Student**

** **

** Office**: Room 020, Kassar House

**Email:** shamil_asgarli@brown.edu

** Mailing Address**: Department
of Mathematics

020 Kassar House

Box 1917

151 Thayer Street

Providence, RI 02912

** **

I am a fourth-year graduate student in the math department at Brown University. My advisor is Brendan Hassett.

Broadly speaking, I am interested in algebraic geometry. My current research is in equivariant intersection theory. In particular, I would like to understand the integral Chow rings of various moduli spaces (equipped with a group action).

Another subject that I find appealing is the study algebraic curves/surfaces defined over finite fields. Here is an example of a problem that interests me: Suppose $S\subseteq\mathbb{P}^2$ is a collection of (reduced) points with coordinates in $\mathbb{F}_q$. Then by Bertini Smoothness Theorem over Finite Fields (due to Bjorn Poonen), there exists a smooth curve $C\subseteq\mathbb{P}^2$ such that $C(\mathbb{F}_q)=S$.

1) What is the minimal degree of such a curve $C$?

2) If $d_0$ is the minimal degree of such a curve, then are there examples in

**Papers
**

The Picard Group of the Moduli of Smooth Complete Intersections of Two Quadrics (with Giovanni Inchiostro)

Here are some of the classes I have TA-ed or taught at Brown.

Spring 2017 - Math 90: Introductory Calculus I (Instructor).

Fall 2016 - Math 100: Introductory Calculus II (TA)

Spring 2016 - Math 200: Intermediate Calculus (for Physics/Engineering) (TA)

Fall 2015 - Math 100: Introductory Calculus II (TA)

Giovanni Inchiostro and I are the organizers for the Algebraic Geometry seminar at Brown University for Fall 2017.

This is an expository article
on Wedderburn's
theorem.

Here
are the notes for Algebraic Geometry I (taught by Nathan
Pflueger).