Eric Larson

I am an assistant professor at Brown University, working on algebraic geometry. My email addresses are eric_larson1@brown.edu and elarson3@gmail.com.

Activities for Undergraduates:

Activities for Middle and High School Students:

MAA AMC competitions

Papers and Preprints:

The Integral Chow Ring of M₂^ct [joint with , , , and ]
Normal bundles of rational curves in Grassmannians [joint with and ]
On The Cohomology of N_C(-2) in Positive Characteristic (Communications in Contemporary Mathematics)
Generic Beauville's Conjecture (Forum of Math Sigma) [joint with and ]
The embedding theorem in Hurwitz--Brill--Noether Theory [joint with , , , and ]
The minimal resolution conjecture for points on general curves (Annales Scientifiques de l'École Normale Supérieure) [joint with ]
Stability of Tschirnhausen Bundles (International Mathematics Research Notices) [joint with and ]
The normal bundle of a general canonical curve of genus at least 7 is semistable (Journal of the European Mathematical Society) [joint with and ]
Interpolation for Brill--Noether curves (Forum of Math Pi) [joint with ]
Global Brill--Noether Theory over the Hurwitz Space (Geometry and Topology) [joint with and ]
Stability of Normal Bundles of Space Curves (Algebra and Number Theory) [joint with and ].
The Integral Chow Ring of M₂ (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 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).

Expository Material:

The interpolation problem: When can you pass a curve of a given type through N random points in space? (Bulletin of the AMS) [joint with and ].
Making Accessible Documents Using LaTeX (Notices of the AMS) [joint with ].
Degenerations of Curves in Projective Space and the Maximal Rank Conjecture.

Computer Programs:

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