I am a final year PhD candidate in mathematics at Michigan State University. My research focuses on developing various theoretical tools in the field of topological data analysis. In the different avenues I have pursued, my contributions have been to persistent homology, sliding window embeddings, and coordinatizing data sets in topological spaces. I am working under the supervision of my advisor -- Jose Perea.

Recent talks, papers, and workshop attendance

October 12

2019

January 16, 2020

I am scheduled to present my work on sliding window embeddings at the Joint Mathematics Meetings in Denver

November 25, 2019

I am scheduled to talk at the Graduate Student Geometry & Topology Seminar at Michigan State.

November 3, 2019

I am scheduled to present 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

March 30, 2019

I presented my work on Persistent Künneth formulae at GSTGC 2019.

March 13, 2019

I presented my work on sliding window embeddings at the Graduate Student Geometry & Topology Seminar at Michigan State.

January 21, 2019

I presented my work on persistent Künneth formulae at Knots in Washington XLVII at George Washington University.

January 17, 2019

I presented my work on persistent Künneth formulae at the Joint Mathematics Meetings in Baltimore.

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.