For original, broad, and fundamental contributions to applied and computational mathematics, including conservation laws, kinetics, image processing, and social dynamics.

For contributions to computational fluid dynamics and in particular, development of adaptive algorithms.

For contributions to scientific computing infrastructure including floating-point arithmetic and elementary-function computations and in transferring technology from academia to industry.

For contributions to linear and nonlinear programming and tireless efforts to increase diversity.

For the design and analysis of graph and network algorithms.

For the design and analysis of algorithms.

For contributions at the interface of mathematics and materials science for the study of crystal growth, optimal shapes of crystals, and minimal surfaces.

For fundamental contributions to continuous optimization theory, analysis, development of algorithms, and scientific applications.

For contributions to differential equations, numerical analysis, and the Navier-Stokes equations.

For contributions to scalable algorithm design, mesh generation, and algorithmic game theory, and for pioneering smoothed analysis of linear programming.

For fundamental and sustained contributions to the theory and practice of optimization, and for exemplary service to the optimization community.

For contributions to discrete mathematics and algorithms.

For his contributions to structural graph theory and graph coloring, especially his work on the Four-Color Theorem and its generalizations and a proof the Strong Perfect Graph Theorem.

For contributions to numerical linear algebra, especially numerical methods for eigenvalue problems.

For analytical and computational studies of nonlinear partial differential equations with applications to fluid mechanics and geophysics.

For advances in interior point methods and semidefinite programming.

For his contributions to the development of algorithms and software for semidefinite programming and, more generally, conic programming.

For contributions to the theory and practice of numerical optimization.

For contributions to dynamics and inverse scattering.

For leadership in science policy.

For contributions to the mathematics of packings and materials.

For fundamental contributions to statistical physics, integrable systems, and probability theory including random matrix theory and its applications.

For contributions to algorithms and complexity theory.

For contributions to numerical analysis and scientific computing.

For contributions to signal processing, data analysis, and randomized linear algebra.

For contributions in iterative linear solver algorithms and software to address scientific computing applications on large-scale parallel systems.

For leadership in advancing applied mathematical education, including the creation of SIAM Undergraduate Research Online.

*Deceased