Brian Choi is an assistant professor in the department of mathematics at the University of Tennessee at Chattanooga. He was an Assistant Professor (non-tenure) in the Department of Mathematical Sciences at the United States Military Academy. He was affilated with the Center for Data Analysis and Statistics in 2023-2025 as a civilian deputy director. He worked with Alejandro Aceves as a RTG postdoctoral fellow at the Department of Mathematics Southern Methodist University, Dallas, TX, USA. He graduated from Boston University in 2020 where he did his PhD in mathematics under the supervision of Mark Kon. His undergraduate work was from Boston College with honors in mathematics, supervised by Dubi Kelmer in his senior thesis. His research areas are harmonic analysis, numerical analysis, and partial differential equations, lying at the intersection of pure and applied mathematics.
Email: choigh(at)bu.edu
LinkedIn: LinkedIn
Curriculum Vitae: CV
Google scholar: https://scholar.google.com/citations?user=HFJ6fiUAAAAJ&hl=en
Education:
Boston University (2020): PhD Mathematics (Thesis under Mark Kon: Weighted Fourier Analysis and Dispersive Equations)
Boston College Honors Program (2014): Mathematics major, Physics minor, Sally award (awarded to the top graduating math major) (Thesis under Dubi Kelmer: Algebraic Approach to Quantum Systems Using Finite Group Representation)
Research Interests: Partial Differential Equations, Harmonic Analysis, Uncertainty Quantification, Probability, Dynamical Systems, Numerical Analysis.
Goals: Do high-quality research in mathematics with applications in physical sciences and computing. Teach/train students from a wide background, emphasizing not only the mathematics but also their character developments, critical thinking abilities, and leadership skills.
Papers:
Nonexistence of traveling wave solutions in the fractional Rosenau-Hyman equation via homotopy perturbation method (2025) arXiv:2502.07810 (submitted to International Journal of Differential Equations)
Nonlinear Excitation of Ground States on Nonlocal Lattices (2024) arXiv:2408.11177 (submitted to Discrete Contin. Dyn. Syst. Ser. B)
(With Parcell, Starling) Optimizing Performance of Real-time Detection and Classification for Military Personnel and Weapons The ITEA Journal (2024), 45(3), DOI:10.61278/itea.45.3.1005
Dynamics of periodic fractional discrete nonlinear Schrödinger equation in the continuum limit (2024) arXiv:2401.13152 (submitted to Applicable Analysis)
(With Norton, Xu, Kon, Castrillon) Complex Analyticity of the Nonlinear Poisson-Boltzmann Equation For the Interface Problem with Random Domains (2023) arXiv:2309.16439 (submitted to Numerische Mathematik)
(With Marstaller, Aceves) On Localization of the Fractional Discrete Nonlinear Schrödinger Equation (2023) arXiv:2309.11395 (submitted to Communications in Nonlinear Science and Numerical Simulation)
(with Walton) Infinite Speed of Propagation of Fractional Dispersive Equations (2023) arXiv: 2301.06288 (submitted to Communications on Pure and Applied nalysis)
(with Aceves) Continuum Limit of 2D Fractional Nonlinear Schrödinger Equation Journal of Evolution Equations (2023), 23(30), p.1-35, https://doi.org/10.1007/s00028-023-00881-3
(with Aceves) Well-posedness of Mixed Nonlinear Schrödinger Equation Partial Differential Equations in Applied Mathematics (2022), 6(c), p.1-11, 100406, https://doi.org/10.1016/j.padiff.2022.100406
(with Castrillon, Kon, Norton, Xu) Analytic Regularity of Nonlinear Poisson Boltzmann Equation (2021), arXiv:2106.05811. (submitted to Computers and Mathematics with Applications)
Multilinear Weighted Estimates and Quantum Zakharov System, Mathematical Modelling and Analysis (2022), 27(2), 342-359, https://doi.org/10.3846/mma.2022.15555
Remark on the Adiabatic Limit of Quantum Zakharov System, Bulletin of the Malaysian Mathematical Sciences Society (2022), 45, 17111735, https://doi.org/10.1007/s40840-022-01272-6
Small Time Behavior and Summability for Schrödinger Equation, Graduate Journal of Mathematics (2021), 6(2), 9-21
Teaching:
UTC (August 2025 - Present): MATH1730 (Combined precalculus)
USMA (August 2023 - Present): MATH205 (Multivariable Calculus), MA365 (Advanced engineering math)
Southern Methodist University (January 2021 - June 2023): MATH1337 (Calculus 1), MATH1338 (Calculus 2), MATH3302 (Calculus 3) STAT2331 (Intro to Stats)
Boston College (September 2020 - December 2020): MATH1004 (Intro to Probability)
Boston University (September 2014 - May 2020): MA569 (Operations research), MA511 (Analysis I), MA411 (Advanced Calculus), MA226 (Differential Equations), MA123-124 (Calculus I-II), EK102 (Linear Algebra for Engineers)