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I've always liked math and physics and I believe that the interplay between the two fields is very interesting. I love to learn about partial differential equations (PDEs) and numerical analysis, which are both great tools to have for studying math and physics. My specialty falls under computational electromagnetics, more precisely finite difference methods for submodels of magnetohydrodynamic equations.
Current Projects
Current Projects
- (Hall) Magnetohydrodynamics
Magnetohydrodynamics couples Maxwell's equations for electrodynamics with the equations of hydrodynamics to model electrically conducting fluids
The Hall model is capable of modeling "fast" magnetic reconnection
- Computational Electromagnetics
Currently interested in developing higher order methods for electromagnetic models
I am also learning the fundamentals of mimetic finite-difference methods
Past Projects
Past Projects
- Graduate Intern, Lawrence Berkeley National Lab
Internship through Sustainable Horizon Institute's Sustainable Research Pathways Program
Investigated image segmentation through quantum random walks
- Graduate Intern, Idaho National Laboratory
I interned in the Computational Mechanics and Materials Department learning about and applying different sensitivity analysis (SA) methods.
- Capstone project, University of Michigan
I learned about particle-in-cell (PIC) codes for my capstone project at the University of Michigan (advisor: Dr. Robert Krasny) and used it to simulate the two-stream instability of a one-component electrostatic plasma.Â
Coursework (current courses in bold)
Coursework (current courses in bold)
Oregon State University
Oregon State University
MTH 511/512 /513- Real Analysis
MTH 520 - Models and Methods of Applied Mathematics
MTH 531 - General Topology I
MTH 534/535 - Intro to Differential Geometry
MTH 543 - Abstract Linear Algebra
MTH 551 - Numerical Linear Algebra
MTH 552 - Numerical Solution of ODEs
MTH 553 - Numerical Solution of PDEs
MTH 611 - Complex Analysis
MTH 621/622/623 - PDEs
MTH 627 - Advanced PDEs (Fall 2022/Winter 2024)
MTH 654 - Finite Elements
MTH 655 - Finite Volume Methods
MTH 656 - Computational Harmonic Analysis (Spring 2023)
MTH 656 - Computational Wave Propagation (Spring 2024)
MTH 659 - Uncertainty Quantification
MTH 664 - Probability Theory I
MTH 665 - Probability Theory II: Markov Processes
MTH 674 - Differential Topology of Manifolds
ME 564 - Turbulence Modeling
PH 531 - Capstones in Physics: Electromagnetics
PH 551 - Capstones in Physics: Quantum Mechanics
PH 555 - Astrophysics
PH 631 - Electromagnetic Theory I
PH 632 - Electromagnetic Theory II
PH 651 - Quantum Mechanics I
University of Michigan
University of Michigan
MATH 404 - Intermediate Differential Equations
MATH 454 - Boundary Value Problems for PDEs
MATH 572 - Numerical Methods for Differential Equations
MATH 654 - Introduction to Fluid Dynamics
NERS 471 - Introduction to Plasmas and Fusion
PHYSICS 401 - Mechanics
PHYSICS 405 - Electricity and Magnetism
UC Davis
UC Davis
MAT 125 AB - Real Analysis
MAT 129 - Fourier Analysis
MAT 135A - Probability
MAT 150 ABC - Modern Algebra
MAT 185 AB - Complex Variables
PHY 104A - Mathematical Methods in Physics
PHY105A - Analytical Mechanics
PHY 115A - Quantum Mechanics
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