I teach courses at both undergraduate and graduate levels, covering topics in computational mathematics, numerical methods, optimization, and machine learning. I supervise undergraduate honors projects, REU students, and PhD students in computational mathematics and computer science.
Multivariable and vector calculus taught as a flipped course, with screen-free in-class problem solving, a custom WeBWorK problem set for the OpenStax text, and proctored computer-based exams.
This course provides students with the mathematical background needed to analyze and further develop numerical methods at the heart of deep learning.
This course provides students with an overview of state-of-the-art numerical methods for solving both unconstrained and constrained, large-scale optimization problems.
Mathematical foundations of deep generative models, emphasizing theoretical principles and connections to optimal transport, high-dimensional probability, and dynamical systems.
In this seminar, we discuss one recent work at the interface of applied mathematics and machine learning with the goal of exposing new research questions.
In this seminar, we discuss one recent work at the interface of applied mathematics and machine learning with the goal of exposing new research questions.
This advanced undergraduate course introduces nonlinear optimization problems, optimality conditions, and examples from different domains including finance, machine learning, and imaging.
Courses without their own page.
| Course | Title | Level | Semesters |
|---|---|---|---|
| MATH 485 | Convex Optimization | Undergraduate | Fall 2022 |
| MATH 346 | Introduction to Optimization Theory | Undergraduate | Fall 2014, Spring 2015 |
| MATH 315 | Numerical Analysis | Undergraduate | Fall 2017, Spring 2019 |
| MATH 276 | Honors Vector Calculus | Undergraduate | Spring 2024 |
| MATH 275 | Honors Linear Algebra | Undergraduate | Fall 2023 |
| MATH 789R | Bayesian Inverse Problems and Uncertainty Quantification | Graduate | Spring 2016 |
| MATH 516 | Numerical Analysis II | Graduate | Spring 2015 |