I am a teaching faculty at Michigan State University. In Spring 2024, I am teaching MTH314: Matrix Algebra with Computational Applications. Over Summer 2024, I will be developing the curriculum for MTH414: Linear Algebra II.
My research interests lie in the field of Topological Data Analysis.
Before joining MSU, I was a postdoctoral associate in the Department of Mathematics at the University of Oklahoma.
I earned my PhD in mathematics from Michigan State University in May 2020. During my PhD under the supervision of Jose Perea, my work revolved around the study of toroidal dynamical systems. I made contributions to the development of persistent homology by proving Künneth-type theorems, to topological time series analysis by further developing the theory of sliding window embeddings, and to multiscale data coordinatization in topological spaces by proving stability theorems for circular coordinates.
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Recent News: Papers, Organization & Attendance, and Talks
September 05, 2023
Our paper of Sliding Window Persistence for Quasiperiodic Functions was published in the Journal of Applied and Computational Topology
June 09, 2023
Our paper Toroidal Coordinates: Decorrelating Circular Coordinates With Lattice Reduction was published in the proceedings of the 39th International Symposium on Computational Geometry (SoCG 2023).
June 12-15, 2023
I was at the Symposium on Computational Geometry at the University of Texas, Dallas
March 18-19, 2023
I co-organized a Special Session on Topological Persistence at the Spring Southeastern AMS Sectional Meeting (w/ Luis Scoccola and Ling Zhou)
January 06, 2023
I co-organized a Special Session at the Joint Mathematics Meeting (w/ Harlin Lee and Josue Tonelli-Cueto)
February 27, 2024
I gave a lecture at the Topological Data Analysis Study Group, hosted virtually by the Erdos Institute
January 30, 2024
I spoke about MTH314 curriculum reform efforts in the Conversations Among Colleagues seminar in the Department of Mathematic at Michigan State University
November 06, 2023
I spoke at the TDA Seminar in the Department of CMSE at Michigan State University
October 14, 2023
I gave a contributed talk at the SIAM Great Lakes Meeting, hosted at Michigan State University
June 15, 2023
I presented our Toroidal Coordinates paper at the Symposium on Computational Geometry
May 12, 2023
I gave an outreach talk at the Raising a Mathematician Training Program (Intro Topology for Middle-High Schools Students)