Research
Research Interests
My research currently focuses on neural ideals. A neural ideal is a mathematical objects which encodes neural firing patterns corresponding to a certain configuration of a stimulus space. My current research questions include:
What can be learned about a neural code by computing the multigraded Betti numbers of the corresponding polarized neural ideal?
It is possible to construct a neural ideal based on a deep learning model. Which properties of this ideal will give us insight into the model?
Seminars
I am currently regularly attending the following seminars at University of Nebraska-Lincoln
- Commutative Algebra Seminar (CAS)
- Commutative Algebra Reading Seminar (CARS)
- Matemáticas
- RTG Learning Seminar: Koszul Algebras
Seminar Talks I will give this semester:
- A Characterization of Polarized Neural Ideals, CARS, February 11, 2026
- La Forma Canónica de los Ideales Neuronales, Matemáticas, March 23, 2026
Conferences and Workshops
- Women in Commutative Algebra, Fields Institute, 2025
- KUMUNU, University of Missouri, 2024
- Recent Developments in Commutative Algebra, SLMath (formerly MSRI), 2024
- Introductory Workshop: Commutative Algebra, SLMath (formerly MSRI), 2024
- Gender Equity in the Mathematical Study (GEMS) of Commutative Algebra, University of Minnesota, 2023
- Math 125, University of Nebraska-Lincoln, 2023
- Nebraska Conference for Undergraduate Women in Mathematics, University of Nebraska-Lincoln, 2019
I served on the organizing committee for the Nebraska Conference for Undergraduate Women in Mathematics from 2023 to 2025.