Research Interests

Summative assessment methodology in undergraduate foundational mathematics; Direct and inverse spectral theory of self-adjoint Schrödinger and Dirac operators.

Publications

• Dirac Operators with Operator Data of Wigner-von Neumann Type Journal of Differential Equations, 2024. [arXiv:2109.13402]
• Limit-Periodic Dirac Operators with Thin Spectra Journal of Functional Analysis, 2022. (with B. Eichinger, J. Fillman, M. Lukić) [arXiv:2203.12650]
• Stahl-Totik Regularity for Dirac Operators Under consideration at Advances in Mathematics since Jan 2021, 2020. (with B. Eichinger and M. Lukić) [arXiv:2012.12889]
• A probabilistic proof of the Vitali covering lemma Undergraduate thesis with P. Hagelstein and D. Herden.

Selected Presentations

• Midweek Math Training: Supplemental Instruction to Support Exam Performance National Institute on Scientific Teaching National Meeting, August 2025
• AP Calculus and the Pre-Calculus to Calculus II track Rice Math Learning Community, February 2025
• Student evaluations of teaching Rice Math Learning Community, January 2025
• Student engagement in outside-of-class resources Rice Math Learning Community, December 2024
• Workload in the foundational STEM courses Rice NatSci Learning Community, October 2024