Brian Choi is an Assistant Professor in the Department of Mathematical Sciences at the United States Military Academy, also affilated with the Center for Data Analysis and Statistics. He worked with Alejandro Aceves as a RTG postdoctoral fellow at the Department of Mathematics Southern Methodist University, Dallas, TX, USA.
Email: brian.choi(at)westpoint.edu, choigh(at)bu.edu
LinkedIn: LinkedIn
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 (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, Nonlinear Optics.
Goals: Do high-quality research in mathematics with applications in physical sciences and computing. Teach/train the students emphasizing not only the mathematics but also their character developments and leadership skills.
Papers:
Uncertainty quantification and complex analyticity of the nonlinear Poisson-Boltzmann equation for the interface problem with random domains (with Norton, Jie, Kon, Castrillon), arXiv:2309.16439, September 2023
On Localization of the Fractional Discrete Nonlinear Schrödinger Equation (with Marstaller, Aceves), arXiv:2309.11395, September 2023
Infinite Speed of Propagation for Fractional Dispersive Equations (with Walton), arXiv:2301.06288, January 2023
Continuum Limit of 2D Fractional Nonlinear Schrödinger Equation (with Aceves), arXiv:2207.10161, July 2022
Well-posedness of the Mixed-Fractional Nonlinear Schrödinger Equation on ℝ2 (with Aceves), Partial Differential Equations in Applied Mathematics, 6, December 2022, doi.org/10.1016/j.padiff.2022.100406 2022
Multilinear Weighted Estimates and Quantum Zakharov System, Mathematical Modelling & Analysis, 27(2), April 2022, doi.org/10.3846/mma.2022.15555
Remark on the Adiabatic Limit of Quantum Zakharov System, Bulletin of the Malaysian Mathematical Sciences Society, 45, March 2022, doi.org/10.1007/s40840-022-01272-6
Small Time Behaviour and Summability for Schrödinger Equation, The Graduate Journal of Mathematics, 6(2), August 2020
Analytic regularity of strong solutions for the complexified stochastic non-linear Poisson Boltzmann Equation (with Norton, Jie, Kon, Castrillon), arXiv:2309.16068, September 2023
Teaching:
USMA (August 2023 - Present): MATH205 (Multivariable Calculus)
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)