# Home

Welcome! I am a Ph.D Candidate at the University of Illinois at Chicago. studying mathematics. I was formerly a Ph.D student at the University of Georgia from 2017-2020. My advisor is Benjamin Bakker.

Here is my CV.

### Research Interests

Algebraic geometry, Hodge theory, singularities and moduli of Calabi-Yau and symplectic varieties, Hodge modules.

# News

## Spring 2021

**(February 3).**I gave a talk on Hodge theory and singularities in UIC's graduate student colloquium.This semester I am supported on Ben Bakker's grant.

## Fall 2020

**(November 20).**I gave a talk on Betti Numbers of Primitive Symplectic Varieties in ZOOMerFEST.**(October 29**). I gave an expository talk on the Hodge theory of hypersurfaces at UGA's graduate algebraic geometry seminar (on zoom).**(October 14)**. I gave an expository talk on the Hodge theory of hyperkahler manifolds in UIC's graduate algebraic geometry seminar (on zoom).I am a teaching assistant for three sections of math 118.

This semester I moved to UIC with my advisor Benjamin Bakker.

## Summer 2020

I gave a talk on singular symplectic varieties at the graduate student conference at UGA

I co-organized the graduate student summer conference at UGA.

## Spring 2020

**(April 2020).**I gave an expository talk on o-minimal geometry in algebraic geometry for the UGA graduate student seminar.**(February 6)**. I went over the Deligne-Illusie paper on degeneration of Hodge-to-de Rham with p^2 lifting in the CRAAG seminar.**(January 24,31)**. I gave an introduction to Riemann Surfaces in the SMARTS seminar.I am serving as a mentor in the math department's DRP program.

I am teaching two sections of pre-calculus this semester

## Fall 2019

**(October 23)**. I will be giving a talk in the topology student seminar on irreducible holomorphic symplectic varieties.**(September 24)**. I gave a talk on singularities in algebraic geometry in the graduate student seminar.**(September 20-22)**. I attended AGNES at Boston College.**(September 9-13)**. I attended a conference on o-minimal structures in algebraic geometry in Freiburg Germany.I am organizing a seminar on modular curves and Shimura varieties.

This semester I am teaching math 1113. I am also the TA for math 4150 (complex analysis).

## Summer 2019

I am supported this summer through the AGANT RTG Grant (NSF DMS-1344994).

## Spring 2019

**(May 16-24)**. I will be attending the 2019 Felix Klein Lectures on o-Minimal geometry and Hodge theory given by Ben Bakker at the Hausdorff Institute of Mathematics.**(May 6-10, 2019).**I will be attending MSRI's conference on recent progress in moduli theory.**(May 1st, 2019)**.. My committee consisted of B. Bakker (advisor), P. Clark, P. Engel, and D. Lorenzini. Here is my best recollection of the exam.**I passed(!) my oral exam and was admitted to candidacy****(April 4-6, 2019)**. I attended a conference on Moduli in Budapest at the Alfréd Rényi Institute of Mathematics.**(March 31-April 9)**. I visited the ETH Zurich math department.**(March 25-29, 2019).**I was invited to attend the MSRI's conference on derived algebraic geometry and its applications.**(February 11-15, 2019).**I attended a conference on birational geometry and Hodge theory, as part of the CIRM's thematic month on complex geometry in Marseille, France. I was funded through the institution.**(January 25, 2019).**I gave an introductory talk on intersection theory over algebraic surfaces in the graduate AG seminar.**(January 11-13, 2019).**I attended a conference on complex algebraic geometry at UCSD. I was funded through the conference.I organized the Graduate Algebraic Geometry Seminar this semester.

I am funded this semester through the math department's RTG grant.

I took my oral exam this semester. I am focusing on algebraic geometry (schemes, cohomology) and K3 surfaces. Here is my finalized oral exam syllabus.

## Fall 2018

**(December 7-9, 2018).**I attended a graduate workshop on moduli spaces and Bridgeland stability at UIC. I was funded through their FRG grant.**(November 16-18, 2018)**. I attended a graduate workshop on D-Modules and Hodge theory at UIC. I was funded through their NSF grant.**(November 9, 2018)**. I gave a talk on "Algebraic Geometry for Non-Algebraic Geometers" in SMARTS. I focused on the "big" problem of birational classes.**(November 7, 2018)**. I gave a talk on complex surfaces in the graduate topology seminar.**(October 30, 2018)**. I gave a talk on Serre GAGA in the graduate student seminar. Here are some notes.**(October 20, 2018)**. I volunteered at the annual high school math tournament.**(October 6-7).**I attended the Western Algebraic Geometry Symposium (WAGS) at the University of Oregon.**(August 9-10, 2018)**. I passed my third (real analysis, 3/4) and final (topology (MP), 4/4) qualifying exams!I participated in the DRP again as Xinyu Shi's graduate mentor. We discussed elliptic curves.

I graded for Math 3100 (Sequences and Series) this semester, along with study hall.

## Summer 2018

**(July 26-27, 2018).**I discussed Hodge theory and period mappings at the annual Mock-AMS talks at UGA. Here are the slides.**(June 23-25, 2018)**. I attended a workshop on Higgs bundles at UIC.I received funding this term through the RTG grant (NSF DMS-1344994).

## Spring 2018

**(April 12, 2018)**. I lead a review session for the third precalculus midterm with Kellie Sappington, supported by the DAE.**(April 9, 2018).**I gave a lecture in the "Rational Points" reading group on the classification of surfaces and Kodaira dimension. Here are some notes.**(March 18, 2018)**. I helped Kellie Sappington create a video series for a precalculus midterm through the DAE. Here is a link to the videos.**(March 6, 2018).**I gave a talk in the K3 surfaces topics course. The lecture focused on singular abelian and K3 surfaces and was based primarily on the results of Shioda and Inose.**(February 23-25, 2018).**I attended the Georgia algebraic geometry symposium (GAGS) at the Georgia Institute of Technology.**(January 24, 2018).**I gave a lecture in the Hodge theory VRG on the finitude of the variation of Hodge structure. The talk was based on a paper of Deligne. Here is a loose translation of the relevant parts, as well as the lecture notes. The original paper (in French) can be found here.**(January 3, 2018).**I passed my second qualifying exam (complex analysis, 2/4).I participated in the math department's Directed Reading Program (DRP) as a graduate mentor. I advised Hank Morris in algebraic geometry. I based Hank's program on Fulton's

*Algebraic Curves*.I served as the graduate proctor for the precalculus lab.

## Fall 2017

**(October 21, 2017).**I volunteered at the UGA math tournament.**(September 26, 2017).**I gave a talk at the graduate student seminar, titled "On the Casas-Alvero Conjecture for Univariate Polynomials over a Field of Characteristic 0." The talk was based on a 2007 paper.**(August 9, 2017).**I passed my first qualifying exam (algebra, 1/4).I graded homework, projects and midterms, and held office hours for two sections of math 3300 (Applied Linear Algebra). I also tutored during study hall for the department's undergraduates.

I served as the graduate proctor for the precalculus lab.

*The content and opinions expressed on this web page do not necessarily reflect the views of nor are they endorsed by the University of Georgia or the University of Illinois at Chicago*.