Himanshu Yadav

Graduate Teaching Assistant

Ph.D. in Mathematics, University of Florida (May 2026)

Advisor: Peter Bubenik

Personal Website: http://www.himanshuydv.com/

Google scholar: Papers and Preprints

Areas of Interest/Research

Topological Data Analysis

My research explores the power of topological data analysis  (TDA) to reveal hidden structures across diverse domains. I’m currently developing persistence heatmaps that provide stable, explainable summaries of topological features using machine learning.

In atmospheric science, I apply persistent homology to understand cyclonic-anticyclonic interactions in North Atlantic weather patterns, uncovering seasonal dynamics that correlate with climate indices. Additionally, I’m investigating how topological methods can measure scientific innovation by analyzing the “negative space” in document embeddings, revealing that publications filling topological holes often represent groundbreaking interdisciplinary work.

Through these projects, I demonstrate how mathematical concepts from algebraic topology can provide fresh insights into complex systems ranging from weather dynamics to the evolution of scientific knowledge.

Background

B.S. in Mathematics, Hindu College, University of Delhi, India, 2015-2018
M.S. in Mathematics, Indian Institute of Technology Delhi, India, 2018-2020

Contact Information

Email: yadav.himanshu *at* ufl.edu
Office: 475 LIT
Mailing address: Department of Mathematics, University of Florida, Gainesville, FL 32601