I am an assistant professor at Brown University, working on algebraic geometry. My email address is elarson3@gmail.com.

- The minimal resolution conjecture for points on general curves [joint with
] - Stability of Tschirnhausen Bundles [joint with
and ] - The normal bundle of a general canonical curve of genus at least 7 is semistable [joint with
and ] - Interpolation for Brill--Noether curves [joint with
] - Global Brill--Noether Theory over the Hurwitz Space [joint with
and ] - Stability of Normal Bundles of Space Curves (Algebra and Number Theory) [joint with
and ]. - The Integral Chow Ring of M
_{2}(Algebraic Geometry). - The Maximal Rank Conjecture.
- Constructing Reducible Brill--Noether Curves II (Manuscripta Mathematica).
- Interpolation with Bounded Error (International Math Research Notices).
- Interpolation for Brill-Noether curves in P4 (European Journal of Mathematics) [joint with
]. - The Generality of a Section of a Curve (Journal of the London Mathematical Society).
- Constructing Reducible Brill--Noether Curves (Documenta Mathematica).
- Interpolation for Restricted Tangent Bundles of General Curves (Algebra and Number Theory).
- Interpolation for normal bundles of general curves (Memoirs of the AMS) [joint with Atanas Atanasov and
]. - The Maximal Rank Conjecture for Sections of Curves (Journal of Algebra).
- On the Surjectivity of Galois Representations Associated to Elliptic Curves over Number Fields (Bulletin of the London Mathematical Society) [joint with
]. - Determinants of Subquotients of Galois Representations Associated to Abelian Varieties (Journal of the Institute of Mathematics of Jussieu) [joint with
]. - Integrality Properties of the CM-values of Certain Weak Maass Forms (Forum Mathematicum) [joint with
]. - Progress Towards Counting D5 Quintic Fields (Involve) [joint with
]. - Upper Bounds for the Number of Number Fields with Alternating Galois Group (Proceedings of the American Mathematical Society) [joint with
]. - On the classification of certain fusion categories (Journal of Noncommutative Geometry) [joint with
]. - The DNA Inequality in Non-Convex Regions (Advances in Geometry).

- Galois representations for elliptic curves over number fields [initial version; subsequent functionality added by
].