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
- (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
- AFRL Scholar, Kirtland AFB
- Internship through Universities Space Research Association’s AFRL Scholars Program
- Worked on the project: Prototyping Next Generation Computational Electromagnetic and Particle-in-Cell Codes
- 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.
Coursework (current courses in bold)
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
- 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
- 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
