• Ph.D. 2018, M.S. 2014, Mathematics, University of California - Riverside, Riverside, CA. Advisors: Prof. Alain Valette, Prof. Feng Xu.
• B.S. 2011, Journalism with double-major in Mathematics, Northwestern University, Evanston, IL.

In Operator Algebras / Functional Analysis:

• Ishan Ishan, Jesse Peterson, Lauren Ruth, Von Neumann equivalence and properly proximal groups, Advances in Mathematics, Volume 438 (2024), 109481, ISSN 0001-8708.
  • Talk at Banff International Research Station (2019)
  • Talk at the Institute for Pure and Applied Mathematics (2021)
• L.C. Ruth, The product of lattice covolume and discrete series formal dimension: p-adic GL(2), Expositiones Mathematicae, Volume 41, Issue 1 (2023), 55-70, ISSN 0723-0869.
• Sara Azzali, Sarah L. Browne, Maria Paula Gomez Aparicio, Lauren C. Ruth, and Hang Wang, K-homology and K-theory of pure braid groups, New York Journal of Mathematics, Volume 28 (2022), 1256-1294.
• Ruth, L. Two New Settings for Examples of von Neumann Dimension, dissertation (2018).

In Mathematical Music Theory:

• Ruth, L.C. Altered Chord Alternatives. In: Montiel, M., Agustín-Aquino, O.A., Gómez, F., Kastine, J., Lluis-Puebla, E., Milam, B. (eds) Mathematics and Computation in Music. MCM 2022. Lecture Notes in Computer Science, vol 13267 (2022). Springer, Cham.

• Assistant Professor, 2020-2024, Mercy University, Department of Mathematics and Computer Sciences, Dobbs Ferry, NY.
• Post-doctoral Scholar, 2019-2020, Research Assistant Professor, 2018-2019, Vanderbilt University, Mathematics Department, Nashville, TN. Supervisor: Prof. Jesse Peterson.

Fall 2025

Math 30800: Bridge to Advanced Mathematics