**Graduate Student**

**Email:** shamil_asgarli@brown.edu

** Mailing Address**: Department
of Mathematics

Kassar House, Room 020, Box 1917

151 Thayer Street,

Providence, RI 02912

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

Broadly speaking, I am interested in algebraic geometry. Current research interests include algebraic varieties over finite fields, intersection theory of moduli spaces, and birational geometry of the plane.

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**

1. A New Proof of Warning's Second Theorem.* The
American Mathematical Monthly* Vol. 125, No. 6 (2018), 549-553.

2. The Picard group of the
moduli of smooth complete intersections of two quadrics. (with Giovanni
Inchiostro)

3. Sharp Bertini theorem for
plane curves over finite fields. To appear in Canadian Math.
Bulletin.

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

Fall 2018 - Math 50: Analytic Geometry and Calculus (Instructor)

Spring 2018 - Math 520: Linear Algebra (Instructor).

Fall 2017 - Math 90: Introductory Calculus I (TA).

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)

I completed the Certificate I: Reflective Teaching Program through the Sheridan Center for Teaching and Learning.

Giovanni Inchiostro and I are the organizers for the Algebraic Geometry seminar at Brown University for Fall 2018.

Giovanni Inchiostro and I are the organizers for the Baby Algebraic Geometry seminar at Brown University for Fall 2018.

This is an expository article
on Wedderburn's
theorem.

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