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## Background

Ryan Charles Hynd is an assistant professor of mathematics at the University of Pennsylvania. He holds a BS and MSc in applied mathematics from Georgia Institute of Technology, and a PhD in mathematics from University of California, Berkeley.

## Interests

Hynd’s research interests are partial differential equations, geophysics, probability, stochastic optimal control and calculus of variations. He researches partial differential equations in connection with mathematical models for fluid mechanics, control theory, finance, and with eigenvalue problem, and is also dedicated to promoting diversity in STEM.

## Sample Work

### Publication

#### On Hamilton-Jacobi-Bellman equations with convex gradient constraints

On Hamilton-Jacobi-Bellman equations with convex gradient constraints, with Henok Mawi, 26 pages, to appear in

*Interfaces and Free Boundaries*.### Publication

#### Compactness methods for doubly nonlinear parabolic systems

Compactness methods for doubly nonlinear parabolic systems, 42 pages, to appear in

*Transactions of the American Mathematical Society*.### Publication

#### Inverse iteration for p-ground states

Inverse iteration for p-ground states, with Erik Lindgren, Proceedings of the American Mathematical Society 144 (2016), 2121–2131.

### Publication

#### Value functions in the Wasserstein spaces: finite time horizons

Value functions in the Wasserstein spaces: finite time horizons, with Hwa Kil Kim,

*Journal of Functional Analysis*269 (2015) 968–997.