Research

In mathematics, my primary focus is in commutative algebra. Recently, I have been interested in neural ideals and monomial ideals! I also enjoy learning about math education, and computer science.


Talks

Here are talks I have given at UNL-CARS unless otherwise stated; some with the slides/notes.

  • ¿ Quá es la simetrí? , September 2024 University of Nebraska-Lincoln, Seminario de Matemáticas Seminar
  • How Algebra Can Help Prevent Theft, September 2024
  • Boolean Matrix Rank and Castlenuovo-Mumford Regularity, August 2024 University of Notre Dame, UweFest
  • Simplicial Resolutions and the Scarf Complex, September 2023 University of Nebraska- Lincoln, Commutative Algebra Seminar
  • Monomial Resolutions,(Slides), April 2023
  • An Introduction to Neural Rings and Ideals (general audiance)(Slides),, March 2023, Dordt University
  • An Basic Intro to Neural Rings and Ideals (CA audience), March 2023, Online, Commutative Algebra Regional Expository Seminar
  • A Path to Resolutions, August 2022
  • Gröbner Bases and Their Applications, with Dakota White, March 2022
  • Construction of Free Resolutions Through Simplicial Complexes, October 2021
  • A New Explicit Finite Free Resolution of Ideals Genrated by Monomials in an R-Sequence,(Slides), June 2021, UNL Landscapes Seminar

    • For more detailed information, see my CV!

Publications

  1. E. Dannetun, B.Fang, R. Formenti, B. Gao, J. Geraci, R. Kogel, Y. Li, S. Mandal, V.Rupasinghe, A..Seceleanu, D. Tran and N. Walker. Products and Powers of Principal Symmetric Ideals Journal of algebra and Its Applications,In press. arXiv:2402.16214
  2. Amelia Cantwell, Juliann Geraci, Anant Godbole, and Cristobal Padilla. Graph Universal Cycles on Combinatorial Objects Advances in Applied Mathematics, Volume 127. 2019. arXiv:1911.07905