The 2019 class of Fellows of the AMS appears below sorted by name. See the Fellows of the AMS page for further information.

*The Inaugural Class of Fellows was the 2013 class. See previous classes of Fellows of the AMS: 2013 2014 2015 2016 2017 2018*

**Joseph A. Ball**- Virginia Polytechnic Institute and State University
*For contributions to operator theory, analytic functions, and service to the profession.*

**John S. Baras**- University of Maryland
*For contributions to the mathematical foundations and applications of systems theory, stochastic systems, stochastic control, network security and trust, mentoring and academic leadership.*

**Saugata Basu**- Purdue University
*For contributions to algorithmic and quantitative real algebraic geometry, computational complexity, and o-minimal structures.*

**Bonnie Berger**- Massachusetts Institute of Technology
*For contributions to computational biology, bioinformatics, algorithms and for mentoring.*

**Christopher J. Bishop**- Stony Brook University
*For contributions to the theory of harmonic measures, quasiconformal maps and transcendental dynamics.*

**Martin Bridgeman**- Boston College
*For contributions to hyperbolic geometry and low-dimensional topology and service to the mathematical community.*

**Fioralba Cakoni**- Rutgers The State University of New Jersey New Brunswick
*For contributions to analysis of partial differential equations especially in inverse scattering theory.*

**Hector D. Ceniceros**- University of California, Santa Barbara
*For contributions to numerical analysis, fluid mechanics, and soft materials and for professional leadership, outreach and guidance of postdoctoral, graduate and undergraduate students.*

**Mark Andrea De Cataldo**- Stony Brook University
*For contributions to algebraic geometry, especially questions involving the topology of algebraic varieties and mappings.*

**Tommaso de Fernex**- University of Utah
*For contributions to algebraic geometry, in particular his work on birational rigidity of hypersurfaces.*

**Alicia Dickenstein**- University of Buenos Aires
*For contributions to computational algebra and its applications, especially in systems biology, and for global leadership in supporting underrepresented groups in mathematics.*

**Richard S. Falk**- Rutgers The State University of New Jersey New Brunswick
*For contributions to numerical analysis and for service to the mathematical community.*

**Paul M. N. Feehan**- Rutgers The State University of New Jersey New Brunswick
*For contributions to gauge theory.*

**Shmuel Friedland**- University of Illinois at Chicago
*For contributions to the theory of matrices, tensors, and their applications to other areas.*

**Stephan Ramon Garcia**- Pomona College
*For contributions to operator theory and leadership in undergraduate research and mentoring.*

**Skip Garibaldi**- Center for Communications Research, LaJolla, California
*For contributions to group theory and service to the mathematical community, particularly in support of promoting mathematics to a wide audience.*

**Rebecca F. Goldin**- George Mason University
*For contributions to differential geometry and service to the mathematical community, particularly in support of promoting mathematical and statistical thinking to a wide audience.*

**Daniel Groves**- University of Illinois at Chicago
*For contributions to geometric group theory and low-dimensional topology.*

**Larry Guth**- Massachusetts Institute of Technology
*For contributions to harmonic analysis, combinatorics and geometry, and for exposition of high level mathematics.*

**Michael Harris**- Columbia University
*For contributions to arithmetic geometry, particularly the theory of automorphic forms, L-functions and motives.*

**Harald Andrés Helfgott**- Mathematics Institute, Georg-August University Göttingen and CNRS
*For contributions to analytic number theory, additive combinatorics and combinatorial group theory.*

**Susan Hermiller**- University of Nebraska-Lincoln
*For contributions to combinatorial and geometric group theory and for service to the profession, particularly in support of underrepresented groups.*

**Jeffrey Hoffstein**- Brown University
*For contributions to analytic number theory and to the development of lattice-based quantum resistant cryptography.*

**Fern Yvette Hunt**- National Institute of Standards and Technology
*For outstanding applications of mathematics to science and technology, exceptional service to the US government, and for outreach and mentoring.*

**Sergei V. Ivanov**- University of Illinois, Urbana-Champaign
*For contributions in combinatorial and geometric group theory.*

**Stephen C. Jackson**- University of North Texas
*For contributions to set theory and its applications.*

**Dihua Jiang**- University of Minnesota-Twin Cities
*For contributions to automorphic forms, L-functions, representation theory, and the Langlands Program.*

**Matthew Kahle**- Ohio State University, Columbus
*For contributions to stochastic topology, mentoring and service to the mathematics community.*

**Efstratia (Effie) Kalfagianni**- Michigan State University
*For contributions to knot theory and 3-dimensional topology, and for mentoring.*

**Andrew Knyazev**- University of Colorado, Denver
*For contributions to numerical partial differential equations, computational mathematics and linear algebra, with industrial applications.*

**W.B. Raymond Lickorish**- University of Cambridge
*For contributions to knot theory and low-dimensional topology.*

**Dan Margalit**- Georgia Institute of Technology
*For contributions to low-dimensional topology and geometric group theory, exposition, and mentoring.*

**John Edward McCarthy**- Washington University
*For contributions to operator theory and functions of several complex variables.*

**Steven Joel Miller**- Williams College
*For contributions to number theory and service to the mathematical community, particularly in support of mentoring undergraduate research.*

**Ngaiming Mok**- The University of Hong Kong
*For contributions to complex differential and algebraic geometry.*

**Elchanan Mossel**- Massachusetts Institute of Technology
*For contributions to probability, combinatorics, computing, and especially the interface between them.*

**Camil Muscalu**- Cornell University
*For contributions to multi-linear harmonic analysis with applications to partial differential equations and for expository writing in modern harmonic analysis.*

**Andrew Neitzke**- University of Texas at Austin
*For contributions to research on the boundary of geometry and physics.*

**Lenhard Ng**- Duke University
*For contributions to Floer homology and low-dimensional topology and service to the mathematical community.*

**Claudia Polini**- University of Notre Dame
*For contributions to commutative algebra and for service to the profession.*

**Alex Poltoratski**- Texas A&M University
*For contributions to harmonic analysis, operator and spectral theory.*

**Vladimir Retakh**- Rutgers The State University of New Jersey New Brunswick
*For contributions to noncommutative algebra and noncommutative algebraic geometry.*

**J. Maurice Rojas**- Texas A&M University
*For contributions to algorithmic algebraic geometry, complexity theory, and scientific computation, and mentoring of student research at all levels.*

**Min Ru**- University of Houston
*For contributions to complex analysis and geometry, particularly Nevalinna theory and the theory of minimal surfaces.*

**Thomas Schick**- Mathematics Institute, Georg-August University Göttingen
*For contributions to index theory and the geometry and topology of manifolds.*

**Anne Schilling**- University of California, Davis
*For contributions to algebraic combinatorics, combinatorial representation theory, and mathematical physics and for service to the profession.*

**Stefan Schwede**- Universität Bonn
*For contributions to homotopy theory.*

**Julius L. Shaneson**- University of Pennsylvania
*For contributions to topology.*

**Ratnasingham Shivaji**- University of North Carolina at Greensboro
*For contributions to the theory of semipositone elliptic questions applied to reaction diffusion systems, for mentoring and for providing leadership for the inception of a doctoral program in mathematics.*

**Aravind Srinivasan**- University of Maryland
*For contributions to theoretical computer science, discrete probability, network science and applications and for service to the profession.*

**Irena Swanson**- Reed College
*For contributions to commutative algebra, exposition, service to the profession and mentoring.*

**Murad S. Taqqu**- Boston University
*For contributions to self-similar random processes and their applications to real world phenomena such as diverse internet traffic and hydrology.*

**Valerio Toledano Laredo**- Northeastern University
*For contributions to the representation theory of quantum groups.*

**Valentino Tosatti**- Northwestern University
*For contributions in geometric analysis and complex geometry.*

**Burt Totaro**- University of California, Los Angeles
*For contributions to algebraic geometry, Lie theory and cohomology and their connections and for service to the profession.*

**Peter E. Trapa**- University of Utah
*For contributions to Lie theory and for service to his university and to math circles initiatives.*

**Moshe Y. Vardi**- Rice University
*For contributions to the development and use of mathematical logic in computer science.*

**Eric Vigoda**- Georgia Institute of Technology
*For contributions to theoretical computer science, in particular through its interactions with probability, combinatorics and statistical physics and for service to the profession.*

**Alexander A. Voronov**- University of Minnesota-Twin Cities
*For contributions to mathematical physics, operad theory and homotopical algebra.*

**Zhenghan Wang**- University of California, Santa Barbara
*For contributions to quantum computing and topological quantum field theory.*

**Olof B. Widlund**- New York University, Courant Institute
*For contributions to numerical analysis of domain decompositions within computational mathematics and for incubation through his writing and mentorship of a broad international, creative community of practice applied to highly resolved systems simulations.*

**Tonghai Yang**- University of Wisconsin, Madison
*For contributions to the theory of Shimura varieties, L-functions, automorphic forms, and complex multiplication.*

**Zhiwei Yun**- Massachusetts Institute of Technology
*For contributions to geometry, number theory, and representation theory, including his construction of motives with exceptional Galois groups.*

**Chongchun Zeng**- Georgia Institute of Technology
*For contributions to applied dynamical systems and nonlinear partial differential equations.*

**Wei Zhang**- Massachusetts Institute of Technology
*For contributions to number theory, algebraic geometry and geometric representation theory.*