Specialized Research Training
- Pre-Clinical Curriculum (MS1) — Dell Medical School (Audit)
- Core focus on Cardiovascular, Respiratory, and Neurological Systems.
- Engaged in foundational medical training alongside first-year medical students to better understand clinical terminology and pathology.
- Simula School in Computational Physiology (SSCP)
- Intensive residency focused on fundamental principles of mathematical modeling in electrophysiology and biomechanics.
- Collaborated with FEniCSx developers on finite element software architecture.
- CUDA Short Course — Prof. Mike Giles (University of Oxford)
- Deep-dive into GPU-accelerated computing and performance optimization for scientific applications.
- TACC Visualization Workshop
- Advanced training in scientific visualization techniques for large-scale simulation data.
Graduate Coursework & Training
A curriculum centered on the intersection of functional analysis, high-performance computing, and clinical pathophysiology.
Core Mathematical Foundations
| Course |
Professor |
Technical Focus |
| Methods of Applied Math I and II |
Koch / Arbogast |
Functional Analysis and Sobolev Spaces |
| Non-Self Adjoint Operators |
Demkowicz |
Operator Theory and Stability |
| Continuum Mechanics |
Heimbach |
Mathematical Modeling I |
| Riemannian Geometry (Audit) |
Danciger |
Manifold Theory for IGA |
| Differential Topology (Audit) |
Payne |
Topological Foundations |
Computational Science and Machine Learning
| Course |
Professor |
Technical Focus |
| Variational Inverse Problems |
Ghattas |
Adjoint Methods and UQ |
| Mathematics of Deep Learning |
Tsai |
Neural Network Approximation Theory |
| Numerical Analysis (DiffEq) |
Engquist |
High-order Discretization and Stability |
| Numerical Analysis (Linear Algebra) |
Biros |
Parallel Solvers and Complexity |
| Machine Learning in Solid Mechanics (Audit) |
Fuhg |
Data-Driven Constitutive Modeling |
Engineering and Clinical Pathophysiology
| Course |
Professor |
Technical Focus |
| Biomechanics of Tissues |
Sacks |
Soft Tissue Mechanics |
| Mathematical Pathophysiology |
Sacks / Chang |
Computational Disease Modeling |
| Biomedical Imaging Modalities |
Bush |
Clinical Data Acquisition |