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 News: Papers & Awards, Organization & Attendance, and Talks
April 07, 2022
I won an Audience Choice Award for my general audience talk at the OU Symposium
April 16, 2021
I uploaded my paper on Sliding Window Persistence of Quasiperiodic Functions to ArXiv.
May 29 -- June 04, 2022
I will be attending the MRC on Data Science at the Crossroads of Analysis, Geometry, and Topology
May 14-15, 2022
I co-organized a Special Session on Computational Topology and Applications at the Spring Western AMS Sectional Meeting (w/ Miroslav Kramar)
Fall 2021 --Spring 2022
I co-organized the Topology and Data Science Seminar at the University of Oklahoma (w/ Wenwen Li)
May 15, 2022
I gave a research talk at the Spring Western AMS Sectional Meeting
May 02, 2022
I gave a research talk at the Topology and Data Science Seminar, University of Oklahoma
April 09, 2022
I gave a research talk at the MAA OK-AR Section Meeting
March 04, 2022
I gave a research talk for a general audience at the Graduate and Postdoc Symposium, University of Oklahoma
March 03, 2022
I gave an expository talk at the Math Club, University of Oklahoma
January 29, 2022
I gave a research talk at the IISER Mohali Mathematics Alumni series
September 17, 2021
I gave an expository talk at the Topology and Data Science Seminar, University of Oklahoma
July 30, 2021
I gave a research talk at the Seminars on Geometry and Topology, India
July 23, 2021
I gave an expository talk at the Seminars on Geometry and Topology, India
April 30, 2021
I gave a talk at the Topological Data Analysis Workshop hosted by IMSI. The video can be found here.