Recent publications and preprints

• Mixing Times of Switch Chains via High-Dimensional Expansion. arXiv
• Optimal Transport on Graphs and Stochastically Evolving Trees. arXiv
  with F. Chung
• Distance Exceptional Graphs and the Curvature Index. arXiv
  with F. Southerland and E. Surya
• Discrete Curvatures and Convex Polytopes. To appear, SIAM J. Discrete Math. arXiv
  with J. A. De Loera, J. Eddy, and J. A. Samper
• Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization. arXiv
  with D. Kohli, G. Mishne, and A. Cloninger
• Stochastically Evolving Graphs via Edit Semigroups. Proc. Natl. Acad. Sci. USA. Vol. 122, No. 49 (2025). paperarXiv
  with F. Chung
• Robust Graph-Based Semi-Supervised Learning via p-Conductances. arXiv
  with C. Holtz, Z. Wan, G. Mishne, and A. Cloninger
• A Comparative Study of Curvature on Trees. To appear, Bull. Inst. Combin. Appl. arXiv
• On a Generalization of Wasserstein Distance and the Beckmann Problem to Connection Graphs. SIAM J. Sci. Comput. Vol. 47, No. 5 (2025). paperarXiv
  with D. Kohli, A. Cloninger, and G. Mishne
• Resistance Distance and Linearized Optimal Transport on Graphs. arXiv
  with Z. Wan and A. Cloninger
• Random Walks, Conductance, and Resistance for the Connection Graph Laplacian. SIAM J. Matrix Anal. Appl. Vol. 45, No. 3 (2024). paperarXiv
  with A. Cloninger, G. Mishne, A. Oslandsbotn, Z. Wan, and Y. Wang

Expository work / ArXiv Papers

• Matrix Concentration for Random Signed Graphs and Community Recovery in the Signed Stochastic Block Model.
• “The” Eigenvalue-based Mixing Time Estimate
• 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

Archived references

Archived copies of external preprints, preserved for reference.

• Polynomial mixing of the switch chain for every graphical degree sequence. OpenAI. Preprint dated September 25, 2026. PDF
  Archived October 6, 2026.

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

• Stochastically Evolving Graphs via Edit Semigroups SIAM PNW Meeting, Seattle, WA, October 2025
• Effective Resistance, Optimal Transport, and Graph-Based SSL CodEx Seminar, July 2025
• Minimum cost flows on connection graphs SIAM Discrete Math, Spokane, WA, July 2024
• Matrix concentration inequalities for random graphs DOGSPOT Seminar, UCSD, October 2024
• Graph Harnack inequalities OU Math Analysis Seminar, Spring 2020