Current

I am a graduate student pursuing a Ph.D. in Mathematics at Washington State University Vancouver. I currently hold a research assistantship with Dr. Bala Krishnamoorthy.

My research focus is in Topological Data Analysis, and specifically in addressing aspects of the field that make it unapproachable by outsiders. This work has motivated my open source software contributions and theoretical work on the mapper algorithm. I am maintainer and developer of Kepler Mapper, Ripser, and Persim, all TDA libraries built to integrate naturally into the Python data science ecosystem. I also am currently exploring applications of TDA to astrophysics spectroscopy, neural networks, and interative machine learning.

The submission to YRF explores a key parameter of Mapper, the filter functions, and we hope to provide methods for optimizing the choice this parameter. In addition to theoretical work on Mapper, I work on KeplerMapper, Ripser, and Persim, three TDA libraries that are now available in the Python package index. I want to attend CG Week to meet and develop relationships with the researchers in my field as SoCG is the main forum for research in TDA. Developing relationships early in the PhD will be critical to my future endeavors.


History

Before returning to graduate school, I worked as a software develop and analytics consultant for two years. In 2015, I obtained my undergraduate degree was in Mathematics from University of Hawai’i Manoa where I worked with Dr. Yuriy Mileyko characterizing minute shape change of MRI and with Dr. Brian Bingham developing environmental and robotic constrol simulations.


Information

Contact: nathaniel.saul@wsu.edu

Curriculum Vitae

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