Publications and manuscripts

• Matrix Concentration for Random Signed Graphs and Community Recovery in the Signed Stochastic Block Model, In Review.
• On Discrete Curvatures of Trees, In Review.
• On a Generalization of Wasserstein Distance and the Beckmann Problem to Connection Graphs, with D. Kohli, A. Cloninger, G. Mishne, In Review.
• All You Need is Resistance: On the Equivalence of Effective Resistance and Certain Optimal Transport Problems on Graphs, with Z. Wan, A. Cloninger, In Review.
• Random Walks, Conductance, and Resistance for the Connection Graph Laplacian, with A. Cloninger, G. Mishne, A. Oslandsbotn, Z. Wan, Y. Wang. SIAM J. Matrix Anal. Appl. Vol. 45, No. 3 (2024).

Expository work / ArXiv Papers

• Spectral Proof of Szemerédi Regularity with Edge Coloring
• A Review of Random Walks on Networks
• Topics in Hilbert Spaces, Spectral Theory, and Harmonic Analysis
• A Contraction Method for Boundary Value Problems on Magnetic Graphs
• Harnack Inequality for Magnetic Graphs
• Kantorovich Duality and Signature Balance for Generalized Magnetic Graphs
• Kantorovich Duality and Optimal Transport Problems on Magnetic Graphs
• • Poster
• Spectral and Stochastic Solutions to BVPs on Magnetic Graphs
• • Poster

Talks and presentations

• SIAM Discrete Mathematics Meeting, Spokane WA (July 2024)
• Networks Journal Club, Los Angeles CA (June 2024)
• Math of Data and Decisions Seminar, Davis CA (June 2024)
• Joint Math Meetings AMS Special Session on Ricci Curvature of Graphs and Data Science, San Francisco CA (January 2024)
• Cal-Bridge Fall Conference, Berkeley CA (October 2023)
• Optimal Transport Summer School, Seattle WA (June 2022)
• Joint Math Meetings AMS Special Session on Combinatorics and Graph Theory III, Denver CO (January 2020)
• Talk given at Joint Math Meetings AMS Session on Optics and Electromagnetism, Baltimore MD (January 2019)
• Presented poster Undergraduate Math Symposium, Chicago IL (November 2018)
• Talk given at MAA MathFest, Denver CO (August 2018)
• Talk given at CeSMUR Conference, Lincoln NE (April 2018)
• Talk given at University of Oklahoma Analysis Seminar (March 2018)
• Talk given at TORUS Conference, Wichita Falls TX (February 2018)
• Attended AMS Short Course in Discrete Laplace Operators (January 2018)
• Presented poster at Joint Math Meetings MAA Student Poster Session 2018, San Diego CA Awarded Outstanding Poster Presenter (January 2018)
• Panel discussion on undergraduate research at University of Oklahoma Math Club (May 2017)

Fun beamers

• Matrix concentration inequalities for random graphs
• Effective Resistance and Optimal Transport
• Minimum cost flows on connection graphs
• Graph Harnack inequalities