For pioneering and fundamental contributions in probability theory and analysis, and for fostering diversity in mathematics and education.

For development of high-performance scientific computing algorithms and their use in tackling challenging problems in science, engineering, and medicine.

For broadening participation in mathematics, creating innovative educational materials in applied mathematics, and contributing to the field of finite differences.

For seminal contributions to inverse scattering theory, the existence of transmission eigenvalues, and non-scattering phenomena.

For outstanding contributions to numerical linear algebra, Bayesian scientific computing, and inverse problems and applications, and for extraordinary mentoring activities.

For theoretical and practical developments in continuous optimization.

For significant contributions to numerical methods for hyperbolic systems of conservation laws and important service to the applied mathematics community.

For seminal contributions to computational biology through the design of graph-based algorithms and insights into network distance measures.

For pioneering contributions to all aspects of randomized numerical linear algebra: research, applications, advocacy, and outreach.

For contributions to network science, dynamical systems, and dedicated service to the scientific community.

For community leadership and contributions to data mining and its application to real-world problems in science and engineering.

For fundamental contributions to multi-level and wavelet methods for the numerical solution of partial differential equations and optimal control with partial differential equation constraints.

For contributions to the understanding of the onset of chaos and transport in Hamiltonian and volume-preserving dynamical systems.

For fundamental and visionary contributions to analytic and computational number theory, cryptography, and communication and electronic publishing.

For theoretical, algorithmic, and application impacts, and community leadership in combinatorial scientific computing and network science.

For contributions to approximation theory, potential theory, numerical analysis, particle systems analysis, and inverse problems.

For contributions to finite elements and computational fluid dynamics.

For outstanding originality in contributions to spectral theory, mathematical physics, and orthogonal polynomials, as well as strong research leadership through supervision.

For numerical and analytical contributions to nonlinear dispersive waves in optics and fluids.

For advances in parallel and randomized numerical linear algebra and location estimation technology in movement ecology.

For outstanding contributions to analysis of nonlinear partial differential equations, exemplary service, and excellence in mentoring of students and postdocs.

For fundamental contributions at the interface of statistics, machine learning, and biology.

For fundamental contributions to the modeling of interfacial problems, the study of ice, geophysics, and climate dynamics.

For pioneering fundamental contributions to the mathematics and applications of uncertainty quantification, and for exceptional service in organizing many workshops.

For fundamental contributions to the theory and computation of shape space in image analysis.

For pioneering contributions to computational geometry, volumetric parameterization, isogeometric analysis, mesh generation, image processing, and simulation-based engineering applications.

*Deceased