My research explores connections between algebraic geometry and model theory, in the sense of mathematical logic. In particular, I study the tools of geometric stability theory, a sub-field of model theory, from an algebro-geometric perspective, with the aim of applying them to obtain new results in algebraic geometry. In my PhD thesis, I concentrate on the so-called “group chunk theorem” and its model-theoretic extensions, which have many applications in aglebraic geometry. See my research statement.
You can find a draft of my phd thesis "Group Chunks in Model Theory and Algebraic Geometry", here.
My master's thesis "Small, Indiscernible sequences in NIP theories" (with some corrections) can be found here.
My undergraduate thesis "Twisted Higgs Bundles" can be found here.
Counting twisted Higgs bundles, with Sergey Mozgovoy. In Math. Res. Lett. 29 (2022), no. 5, 1551–1570. https://dx.doi.org/10.4310/MRL.2022.v29.n5.a11
Slides for my talk "Abstract Group Chunks" at the UIUC model theory seminar, 10/21/25
Poster "Group Chunks in Geometry and Model Theory" presented at the Summer Research Institute in Algebraic Geometry Bootcamp, 8/7/25
Slides for my talk "The Group Configuration for Recovering Curves from Jacobians" at the mini-workshop "mini-workshop on "Model Theory meets Nonlinear Algebra," UC Berkeley, 11/27/23