I am currently an Instructor at Princeton University.
Starting Fall 2021, I will be an assistant professor at UC Irvine.
My research is partially supported by NSF grant DMS-2001408. I was previously supported by an NSF Postdoctoral Fellowship.
Here is my CV.

Algebraic & arithmetic geometry-- moduli spaces of higher dimensional varieties, birational geometry, logarithmic geometry, hyperbolicity, and rational/integral points.

- K-moduli of curves on a quadric surface and K3 surfaces (with
*Kristin DeVleming*and*Yuchen Liu*). - Moduli of double covers and degree one del Pezzo surfaces (with
*Dori Bejleri*). - Wall crossing for K-moduli spaces of plane curves (with
*Kristin DeVleming*and*Yuchen Liu*). - Compact moduli of elliptic K3 surfaces (with
*Dori Bejleri*). - The Erdős-Ulam problem, Lang's conjecture, and uniformity.
**Bulletin of the London Mathematical Society,***To appear.*(with*Lucas Braune*and*Amos Turchet*). - Uniformity for integral points on surfaces, positivity of log cotangent sheaves, and hyperbolicity
**International Math Research Notices,***To appear.*(with*Kristin DeVleming*and*Amos Turchet*). - Stable pair compactifications of the moduli space of degree one del pezzo surfaces via elliptic fibrations (with
Dori Bejleri). -
Enumerating Hassett's wall and chamber decomposition of the moduli space of weighted stable curves.
**Experimental Mathematics,**Vol 29:1, (2020) 36-53 (with*Connor Dubé*,*Daniel Gershenson*, and*Elaine Hou*)*. -
Moduli of weighted stable elliptic surfaces & invariance of log plurigenera (with
*Dori Bejleri*). -
Moduli of fibered surface pairs from twisted stable maps.
**Mathematische Annalen,***374 (2019) no. 1-2, 1007-1032.*(with*Dori Bejleri*). - Log canonical models of elliptic surfaces.
**Advances in Mathematics***, Vol 320 (2007), 210–243*(with*Dori Bejleri*). - Bounding heights uniformly in families of hyperbolic varieties.
**New York Journal of Math,***23 (2017) 1791-1808*(with*Ariyan Javanpeykar*). - A generic slice of the moduli space of line arrangements.
**Algebra & Number Theory***, 12-4 (2018), 751--778.*(with*Patricio Gallardo*). - A fibered power theorem for pairs of log general type.
**Algebra & Number Theory***, 10-7 (2016), 1581--1600*(with*Amos Turchet*). - Rational points on twisted K3 surfaces and derived equivalences.
**Brauer groups and obstruction problems: moduli spaces and arithmetic**(with*Krishna Dasaratha*,*Alex Perry*, and*Rong Zhou*). [Supplemental Magma Code] - Logarithmic stable toric varieties and their moduli.
**Algebraic Geometry**,*(3) 2016, 296-319*(with*Sam Molcho*).

- Hyperbolicity of varieties of log general type: geometry and arithmetic. (with
*Amos Turchet*). In December 2018, we gave a mini-course on various notions of hyperbolicity for varieties of log general type from the viewpoint of both arithmetic and birational geometry as part of the Geometry and arithmetic of orbifolds workshop at UQÁM. These expanded lecture notes will be published as a chapter in a book on arithmetic geometry that arose from these workshops.

In Fall 2020 I will teach Math 202 (Linear Algebra). Information can be found on blackboard.

- In Summer 2018 and 2019 I gave lectures to high school students as part of the SIMUW program at the University of Washington.
- In Summer 2017 I worked at Yale University as a project mentor for SUMRY, where I mentored 3 undergraduates in a research project (see paper * above).
- While at Brown, I was an active member of the Math CoOp organized by Kavita Ramanan. We discuss, create, and deliver (applicable) mathematics presentations to K - 12 students in the New England area.

Workshop in algebraic geometry @ Princeton
BATMOBYLE (Bi-annual Algebraic and Tropical Meetings of Brown and YaLE).

Last Updated: July 2020