Research

I completed my PhD in Mathematics at UC Riverside in June 2025. My advisor was Dr. Frederick Wilhelm. My research interests include the study of positive and nonnegative curvature on manifolds. I am particularly interested in metric deformations and intermediate Ricci curvature (more information here)

Papers/Preprints:

• Weighted Intermediate Ricci Curvature – with C. Pro – In Preparation.

• Do Riemannian Submersions Preserve Positive Intermediate Ricci Curvature? – with R. Phelan & F. Wilhelm – arXiv:2507.17839 [math.DG] (July 2025).

• Metric Deformations and Intermediate Ricci Curvature – Dissertation (PhD). University of California, Riverside (2025).

• Random 3-Manifolds have no Totally Geodesic Submanifolds – with F. Wilhelm – Annals of Global Analysis and Geometry 67, 19 (May 2025).

Talks Given:

• Weighted Intermediate Ricci Curvature – May 2025 – AMS Western Sectional Meeting at San Luis Obispo, CA

• Riemannian Submersions and Positive Intermediate Ricci Curvature – January 2025 – Geometry Seminar at UC Santa Barbara

• Riemannian Submersions and Positive Intermediate Ricci Curvature – January 2025 – JMM in Seattle

• Riemannian Submersions and Positive Intermediate Ricci Curvature – December 2024 – Geometry Seminar at UC Riverside

• Random 3-Manifolds have no Totally Geodesic Submanifolds – April 2024 – USTARS at University of Iowa

• Random 3-Manifolds have no Totally Geodesic Submanifolds – July 2023 – Workshop on Curvature at University of Münster, Germany

• Random 3-Manifolds have no Totally Geodesic Submanifolds – June 2023 – Geometry Seminar at UC Riverside 

Conferences Attended:

• Workshop on Computational Geometric Analysis – June 2025 – CUNY Graduate Center, NY

• AMS Western Sectional Meeting – May 2025 – San Luis Obispo, CA

• 30th Southern California Geometric Analysis Seminar + Winter School – February 2025 – UC Irvine

• Joint Mathematics Meeting – January 2025 – Seattle, WA

• MSRI Workshop: Recent Progress on Geometric Analysis and Riemannian Geometry – October 2024 – UC Berkeley

• MSRI Workshop: Special Geometric Structures and Analysis  – August 2024 – UC Berkeley

• MSRI Workshop: New Frontiers in Curvature – August 2024 – UC Berkeley

• Special Seminar in Geometric Analysis – May 2024 – UC Irvine

• Underrepresented Students in Topology and Algebra Research Symposium (USTARS) – April 2024 – University of Iowa

• 29th Southern California Geometric Analysis Seminar – April 2024 – UC San Diego

• Workshop on Curvature and Global Shape – July 2023 – University of Münster, Germany

• Mathematical Pathways to an Excellent Future – May 2023 – UC Riverside

• 28th Southern California Geometric Analysis Seminar – March 2023 – UC Irvine

• Geometric Structures Reunited – June 2022 – University of Illinois at Chicago

• Burton Jones Conference – May 2022 – UC Riverside