About
I joined the Department of Mathematics and Statistics at the University of Maryland, Baltimore County as an assistant professor in Fall 2006 after completing a two-year postdoctoral appointment in the Optimization and Uncertainty Estimation Department at the Sandia National Laboratories in Albuquerque, New Mexico. I received my Ph.D. in applied mathematics from the University of Chicago in 2004, my dissertation being directed by Todd Dupont and Ridgway Scott.
Research interests
My primary research area is numerical analysis of partial differential equations, with current focus on multilevel algorithms for PDE-constrained optimization problems. My secondary research area is numerical optimization.
Teaching interests
My teaching has been focused on graduate classes, primarily numerical analysis, linear algebra, and numerical linear algebra.
Education
- Ph D, Mathematics — University of Chicago (2004)
Publications
- Optimal order multigrid preconditioners for the distributed control of parabolic equations with coarsening in space and time 2022
- Testing homogeneity of several normal population means based on an interval hypothesis 2021
- A Note on Multigrid Preconditioning for Fractional PDE-Constrained Optimization Problems 2021
- Algebraic multigrid preconditioning of the Hessian in PDE- constrained optimization 2021
- Optimal order preconditioners for linear systems arising in the semismooth Newton solution of a class of control-constrained problems 2016
- Multigrid Preconditioning of Linear Systems for Semismooth Newton Methods Applied to Optimization Problems Constrained by Smoothing Operators 2013
- Optimal order multilevel preconditioners for regularized ill-posed problems 2008
- Failure of the discrete maximum principle for an elliptic finite element problem 2004
- Sufficient conditions for strong discrete maximum principles in finite element solutions of linear and semilinear elliptic equations
- Multigrid preconditioners for the Newton-Krylov method in the optimal control of the stationary Navier-Stokes equations
- Multigrid methods for boundary control of elliptic equations
Presentations
- Multilevel methods for optimal control of elliptic equations with stochastic coefficients discretized using stochastic collocation 2026
- Low-rank Gradient Flow - a First Order Algorithm for Non-convex Optimization 2026
- Multilevel methods for optimal control of elliptic equations with stochastic coefficients discretized using stochastic collocation 2025
- Low-rank Gradient Flow - a First Order Algorithm for Non-convex Optimization 2025
- Low-rank Gradient Flow - a First Order Algorithm for Non-convex Optimization 2025
- Efficient Multilevel Methods for Material Properties Inversion in Heat Transfer Problems 2025
- Efficient Multilevel Methods for Material Properties Inversion in Heat Transfer Problems 2025
- Efficient multigrid methods for the numerical solution of optimization problems constrained by partial differential equations 2024
- Multilevel methods for optimal control of elliptic equations with stochastic coefficients discretized using stochastic collocation 2024
- Low-rank Gradient Flow - a First Order Algorithm for Non-convex Optimization 2024
- Low-rank Gradient Flow - a First Order Algorithm for Non-convex Optimization 2024
- Multilevel methods for optimal control of elliptic equations with stochastic coefficients discretized using stochastic collocation 2023
- Multilevel methods for optimal control of elliptic equations with stochastic coefficients discretized using stochastic collocation 2023
- Multilevel methods for optimal control of elliptic equations with stochastic coefficients discretized using stochastic collocation 2023
- Multilevel methods for optimal control of elliptic equations with stochastic coefficients discretized using stochastic collocation 2023
- Towards multigrid preconditioning for distributed optimal control of fractional parabolic equations with coarsening in space and time 2022
- Optimal order multigrid preconditioners for the distributed control of parabolic equations with coarsening in space and time 2022
- Optimal order multigrid preconditioners for the distributed control of parabolic equations with coarsening in space and time 2022
- Optimal order multigrid preconditioners for the distributed control of parabolic equations with coarsening in space and time 2021
- Optimal order multigrid preconditioners for the distributed control of parabolic equations with coarsening in space and time 2021
- Multigrid Preconditioning for Fractional PDE-Constrained Optimization Problems 2021
- Multigrid Preconditioning for Fractional PDE-Constrained Optimization Problems 2020
- Multigrid Methods for Optimal Control Problems Constrained by Fluid Flows 2019
- Multigrid preconditioning for PDE-Constrained optimization: two new applications 2019
- Multigrid Preconditioners for Optimization-based Domain Decomposition of Elliptic Equations 2019
- Multigrid Preconditioning for Space-time Distributed Optimal Control of Parabolic Equations 2019
- Optimal-order multigrid preconditioning in the semi-smooth Newton method solution process for certain PDE-constrained optimization problems 2018
- Multigrid preconditioning for PDE-Constrained optimization: two new applications 2018
- Efficient Multilevel Methods for the Optimal Control of Large-Scale Stochastic Partial Differential Equations 2018
- Efficient Multilevel Methods for the Optimal Control of Large-Scale Stochastic Partial Differential Equations 2018
- Algebraic Multigrid Preconditioning of Distributed Optimal Control Problems Constrained by Elliptic Equations Based on Smoothed Aggregation 2016
- Algebraic Multigrid Preconditioning of Distributed Optimal Control Problems Constrained by Elliptic Equations Based on Smoothed Aggregation 2016
- Optimal Order Multigrid Preconditioners for Linear Systems Arising in the Semismooth Newton Method Solution Process of a Class of Control-Constrained Problems 2015
- Multigrid Methods for Large-Scale Optimal Control Problems Constrained by Partial Differential Equations with Control Constraints 2015
- Multigrid Preconditioning for Space-time Distributed Optimal Control Problems Constrained by Parabolic Equations 2015
- Optimal Order Multigrid Preconditioners for Linear Systems Arising in the Semismooth Newton Method Solution Process of a Class of Control-Constrained Problems 2015
- Efficient Multilevel Methods for Large-Scale Optimization Problems Constrained by Partial Differential Equations 2015
- New Results on Multigrid Preconditioning of Linear Systems arising in the Semi-smooth Newton Solution of Certain PDE-constrained Optimization Problems 2015
- Optimal Order Multigrid Preconditioners for Linear Systems Arising in the Semismooth Newton Method Solution Process of a Class of Control-Constrained Problems 2015
- Multigrid Preconditioning for Space-time Distributed Optimal Control Problems Constrained by Parabolic Equations 2015
- Multigrid Preconditioners for Boundary Control of Elliptic-constrained Optimal Control Problems 2015
- Near-optimal multigrid preconditioning for distributed optimal control problems constrained by first order ordinary differential equations 2014
- ptimal-order Multigrid Preconditioners for Linear Systems arising in the Semi-smooth Newton Solution of Certain PDE-constrained Optimization Problems 2014
- Near-optimal multigrid preconditioning for distributed optimal control constrained by first order ODEs 2014
- Optimal-order Multigrid Preconditioners for Linear Systems arising in the Semi-smooth Newton Solution of Certain PDE-constrained Optimization Problems 2014
- Multigrid Solution of Distributed Optimal Control Problems Constrained by Semilinear Elliptic PDEs 2014
- Multigrid Preconditioners for Optimal Control Problems in Fluid Flow 2014
Grants and Contracts
- Simons Visiting Professorship 2019
- Efficient Solution Methods for Large-scale Optimization Problems Constrained by Time-dependent Partial Differential Equations 2014
- Multi-level Methods in PDE Constrained Optimization 2010