I just finished my PhD in mathematics at Michigan State University. I am scheduled to join the department of mathematics at the University of Oklahoma as a postdoctoral faculty.

​

My research focuses on developing theoretical tools in the field of Topological Data Analysis. 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.

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. 

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

January 16, 2020

I presented my work on sliding window embeddings at the Joint Mathematics Meetings in Denver

November 3, 2019​

I presented my work on sliding window embeddings at the AMS Sectional Meeting, University of Florida

October 11, 2019

I gave an invited talk at the T.A.G. seminar, Central Michigan University

October 1, 2019

I gave an invited talk at the TGDA seminar, The Ohio State University

September 15, 2019​

I presented my work on persistent Künneth formulae at the AMS Sectional Meeting, University of Wisconsin-Madison

August 5-9, 2019​

I attended the workshop: Applied Mathematical Modeling with Topological Techniques at ICERM.

June 2, 2019​

I presented my work on Persistent Künneth formulae at the 1st GTDAML held at The Ohio State University

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.

April 5, 2019

I have been awarded the 2019 TA Award for Excellence in Teaching with the Department of Mathematics.

April 4, 2019

I have been awarded the Dr. Paul and Wilma Dressel Endowed Scholarship with the Department of Mathematics.

Other links

If you would like to learn more about our Künneth formulae, check out Jose Perea's talk at Banff International Research Station on August 8, 2018.

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.