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 20, 2020
I successfully defended my Ph.D. dissertation titled 'A topological study of toroidal dynamics'
October 12, 2019
I uploaded my paper on Künneth formulae in persistent homology to ArXiv.
January 12, 2021
I gave a talk at the ATMCS-AATRN series
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.
April 13, 2020
I gave a talk at the Topological Data Analysis Seminar, Michigan State University
February 28, 2020
I gave an invited talk at the Machine Learning Seminar, University of Ottawa
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.
Other links
If you like online talks or video lectures, check out the Applied Algebraic Topology Research Network's webpage and YouTube Channel.
If you would like a short introduction to persistent homology, check out this tutorial by Matthew Wright.