For contributions to numerical linear algebra, especially eigenvalue computation, and applications to computational science and engineering.

For contributions to numerical methods for optimal control and model reduction.

For contributions in numerical linear algebra, control theory, and model reduction.

For pioneering work in mathematics of information, compressive sensing, computational harmonic analysis, statistics, and scientific computing.

For contributions to financial mathematics and stochastic analysis.

For contributions to numerical methods for incompressible fluid dynamics and leadership in promoting diversity in the mathematical sciences.

For fundamental contributions to theory, computation, and application of tensor decompositions.

For contributions to concepts and algorithms in numerical multilinear algebra and applications in engineering.

For fundamental contributions to algorithmic differentiation and to iterative methods for nonlinear optimization.

For contributions to nonlinear partial differential equations and related fields, to research administration, and to the dissemination of mathematics.

For fundamental contributions to the existence, stability, and dynamics of nonlinear waves with applications to atomic, optical, and materials physics.

For contributions to data mining and high performance computing.

For contributions to inverse problems, approximation to infinite dimensional control systems, and computational methods.

For contributions to discrete and polynomial optimization and revealing interactions between them.

For contributions to mathematical biology and the study of spatial dynamics processes.

For contributions to scalable numerical algorithms and software libraries for solving large-scale scientific and engineering problems.

For sustained innovation at the dynamical systems theory/applications interface; notably for advances in the use of Koopman operator theory.

For fundamental contributions to algorithms for structured linear systems and image processing.

For fundamental results on continuous optimization and the interface between algorithms, numerical analysis, and algebra.

For foundational contributions to the numerical solution of polynomial systems and applications of algebraic geometry.

For contributions to discrete mathematics and theory of computing, particularly random graphs and networks, Ramsey theory, logic, and randomized algorithms.

For contributions to the theory and analysis of delayed dynamical systems and their applications.

For contributions to numerical algebra and matrix theory.

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 powerful and elegant numerical algorithms derived from complex analysis.

For the development and application of numerical algorithms and software for large-scale simulations of complex physical phenomena.

For his contributions in traveling wave stability and his exceptional mentoring of graduate students and post-doctoral researchers.

*Deceased