I am a postdoctoral associate in the Department of Mathematics at the University of Oklahoma. Broadly speaking, my research lies in the field of Topological Data Analysis. My postdoc mentor is Miroslav Kramar.
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 talks, papers, and workshop attendance
April 16, 2021
I uploaded my paper on Sliding Window Persistence of Quasiperiodic Functions to ArXiv.
April 30, 2021
I gave a talk at the Topological Data Analysis Workshop hosted by IMSI. The video can be found here.
April 8, 2021
I prepared a tutorial on Sliding Window Persistence for AATRN-WinCompTomp's Tutorial-a-thon. The video can be found here.
March 8-10, 2021
I virtually attended the workshop Mathematical and Computational Approaches to Social Justice at ICERM
January 12, 2021
I gave a talk at the ATMCS-AATRN series. The video can be found here.
November 8, 2020
I gave a talk at the Redbud Topology Conference, University of Oklahoma
October 20, 2020
I gave a talk at the Topology and Data Science Seminar, The University of Oklahoma
July 31, 2020
I gave a talk at the online summer seminar GROOT.
Recent awards, fellowships, and travel grants
November 15, 2019
I have been awarded the College of Natural Science Dissertation Completion Fellowship for Spring 2020.
November 5, 2019
I have been awarded the AMS Travel Grant for the Joint Mathematics Meetings 2020.
October 24, 2019
I have been awarded the Travel Grant from the Graduate School.
September 4, 2019
I have been awarded the Graduate School Writing Fellowship for the academic year 2019-2020.
August 28, 2019
I have been awarded the AMS Travel Grant for sectional meetings.
July 9, 2019
I have been awarded the Research Enhancement Award with the Graduate School.