Ph.D. (Defended 11 April, 2024)
The University of Arizona (2018 - 2024)
(Ph.D. Thesis) Two Spatial Correlation Estimates in Quantum Statistical Mechanics. (2024). The University of Arizona.
Master's of Science in Mathematics
The University of Arizona (2018-2021)
(Master's Thesis). On Lieb-Robinson bounds in Open Quantum Systems. (2021) The University of Arizona. http://hdl.handle.net/10150/658599
Bachelor's of Science in Mathematics
The Metropolitan State University of Denver (2015-2018)
Magna cum Laude
Biology Minor
Associates of Science
Community College of Aurora (2012 - 2015)
Summa cum Laude
with Owen Ekblad, Eloy Moreno-Nadales, and Jeffrey H. Schenker. Parent Hamiltonians of Ergodic Matrix Product States. arXiv:2607.01446
with Jeffrey H. Schenker. Disordered Ground States for Ergodic Quantum Spin Systems. arXiv:2603.19475. Submitted.
with Jeffrey H. Schenker. Finitely Correlated States Driven by Topological Dynamics. arXiv:2507.07287. Submitted.
with Robert Sims. On Quasi-Locality and Decay of Correlations for Long-Range Models of Open Quantum Spin Systems. 2024 J. Phys. A: Math. Theor. 57 445206. DOI 10.1088/1751-8121/ad8609
with Brent Nelson. Ergodic Quantum Processes on Finite von Neumann Algebras. Journal of Functional Analysis 287 (4). 110485. (2024) DOI: 10.1016/j.jfa.2024.110485
with K. Albee, M. Barnes, A. Parker, and A. A. Schaeffer Fry. Irreducible character restrictions to maximal subgroups of low-rank classical groups of types B and C. Involve 12 (4) 607 - 631, 2019.
That Strikes a Chord! An illustration of permutation groups in music theory. The Rowdy Scholar, a journal of Undergraduate Research and Creative Works 1 (2019). (Faculty mentor: Prof. A. A. Schaeffer Fry).
AMS Fall Sectional Meeting. Spectral Theory, Ergodicity, and Mathematical Physics. George Washington University, Washington DC.
University of Illinois Urbana-Champaign. Urbana, IL. Quantum Math Seminar. 8 April, 2026
2026 AMS Spring Eastern Sectional Meeting. Special Session on Spectral Theory and Geometry in Mathematical Physics. 28-29 March, 2026.
University of New Mexico. Albuquerque, NM. Workshop on Noncommutative Topology and Quantum Materials. 11 March, 2026.
Lattices Seminar. (Virtual). 28 October, 2025.
Harvard CMSA. Quantum Field Theory and Topological Phases via Homotopy Theory and Operator Algebras. (11 July, 2025). YouTube Recording.
University of California Davis, Mathematical Physics Seminar (May 12, 2025).
AMS Spring Eastern Sectional Meeting 2025. Spectral Theory and Quantum Systems. Hartford, CT.
AMS Spring Central Sectional Meeting 2025. Quantum Theory and Operator Algebras. Lawrence, KS.
University of Michigan. Ann Arbor, MI. Probability and Analysis Seminar. (22 January, 2025).
Oberseminar Matematische Physik - U. Tübingen, virtual. (16 January, 2025)
AMS Fall Central Meeting. Schrödinger Operators and Related Topics, San Antionio, TX. (14-15 September, 2024)
Saikat Guha Research Group. (27 November, 2023).
ICMS Edinburgh. Analytical and Combinaatorial Methods in Quantum Information Theory II. (27 July, 2023)
Purdue University, Operator Algebras Seminar (25 April, 2023).
Michigan State University, Mathematical Physics and Operator Algebras Seminar. (11 April, 2023).
Great Lakes Mathematical Physics Meeting 2026. University of Dayton, Dayton, OH. (June 6, 2026).
Technische Universität München (TUM). QMATH 16: Mathematical Results in Quantum Theory. Disordered Systems Session. (1--5 September, 2025).
Great Lakes Mathematical Physics Meeting 2025. University of Kentucky. (June 6-8, 2025).
University of Colorado Boulder, C*-Algebraic Quantum Mechanics and Topological Phases of Matter. (29 July - 2 August, 2024)
University of Delaware, Operator Algebras and Quantum Information. (5 May 2023).
Groundwork for Operator Algebras Lecture Series Seminar. (29 March 2023).
Groundwork for Operator Algebras Lecture Series Seminar. (20 December, 2021).
Arizona State University, C*-Algebra Seminar. (27 October, 2021).
University of Arizona. Department of Mathematics RTG Mini-Conference. (12 December 2019).
MAA Mathfest, Chicago, IL. (28 July 2017).
MSUD, Metro Math and Computer Science Student Poster Presentations. (May 2016)
MSUD, 5th Annual Undergraduate Research Conference (22 April 2016).