Research

I study rational proper maps between balls, and all four projects I have completed circle around two unsolved problems: 

• classification of such maps up to spherical equivalence, and 

• finding a degree bound of such maps.

1. Proper maps of annuli, 2025. [arXiv Preprint]
   Joint with Jiří Lebl and Achinta Kumar Nandi

2. Hermitian rank in ideal powers, 2025. [arXiv Preprint]
   Submitted, Joint with Jiří Lebl

3. Degree of ball maps with maximum geometric rank, 2025. [arXiv Preprint]
   Solo work, Accepted in Indiana University Mathematics Journal

4. Proper maps of ball complements & differences and rational sphere maps, 2025. [arXiv Preprint]
   Published in International Journal of Mathematics, Joint with Jiří Lebl and Achinta Kumar Nandi

Earlier work: 9 additional papers with 112 total citations in machine learning, imaging, and signal processing (breast cancer detection, handwritten character recognition, etc.) 

Full list available in Google Scholar profile.

1. Bertholf Endowed Graduate Fellowship, Oklahoma State University, 2025 — Financial assistance for one student

2. Robberson Summer Dissertation Fellowship, Oklahoma State University, 2024 — Highest monetary university-wide grant for outstanding post-candidacy PhD students

3. O.H. Hamilton Endowed Fellowship, Oklahoma State University, 2022 — Award for selected students

4. Tibor Radó Research Position, Ohio State University, 2020 — Recognition by waiving teaching duties

5. University Fellowship, Ohio State University, 2018–2019 — University-wide recognition by waiving teaching duties