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 via Hochster’s Formula?
Can we translate Hochster’s formula to compute Betti numbers by using combinatorial properties of the neural code?
What is the relationship between polarized neural ideals whose codes induce the same simplicial complex?
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)