Research

Research Interests

I have been working on developing my skills with various commutative algebra and algebraic geometry tools such as symbolic powers of ideals, Gröbner bases, and sheaf theory. I hope to use these tools to solve problems in areas such as mathematical neuroscience and topological data analysis.

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?

How can we connect neural ideals to neural network architectures?

Seminars Attended

I am currently regularly attending the following seminars at University of Nebraska-Lincoln

• Commutative Algebra Seminar (CAS)
• Commutative Algebra Reading Seminar (CARS)
• Matemáticas

Conferences/Workshops Attended

• 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)