I am currently a PhD candidate in Applied Mathematics at the University of Missouri under the supervision of Samuel Walsh.
My main interest deals with Nonlinear partial differential equations and fluid mechanics. In particular, I work with steady or traveling Euler-Incompressible equations. My results include proving an existence theory of a particular class of solutions known as solitary waves and showing their orbital stability/instability.
Large-Amplitude Solitary Waves in Two-Layer Density Stratified Water , SIAM J. Math. Anal., 53(4), 4812–4864 [article, archive].
Asymptotic Properties of Deep Water Solitary Waves with Compactly Supported Vorticity, [article].
Differential equations seminar, University of Missouri, Columbia,
Talk: Large-amplitude solitary waves in two-layer density stratified water.
KUMUNU-ISU on PDE, Dynamical Systems, and Applications,
Poster: Large-amplitude solitary waves in two-layer density stratified water.
Fall 2021: Instructor for Math 4100/7100 Ordinary Differential Equations, University of Missouri, Columbia.
Summer 2021: Instructor for Math 4100/7100 Ordinary Differential Equations, University of Missouri, Columbia.
Fall 2020 -Spring 2021: Instructor for Math 1700 Calculus II, University of Missouri, Columbia.
Summer 2020: Instructor for Math 4100/7100 Ordinary Differential Equations, University of Missouri, Columbia.
Fall 2019- Spring 2020: Instructor for Math 1400 Calculus for Business and Social Science, University of Missouri, Columbia.
Spring-2019: Instructor for Math 1100 Finite Mathematics, University of Missouri, Columbia.
Fall-2018: Instructor for Math 1300 College Algebra, University of Missouri, Columbia.
Spring-2018: Instructor for Math 1160 Precalculus, University of Missouri, Columbia.
Fall-2017: Instructor for Math 1500 Calculus I, University of Missouri, Columbia.