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

*The Inaugural Class of Fellows was the 2013 class. See other classes of Fellows of the AMS:
2013
2014
2015
2016
2017
2018
2020
2021
*

To view the full list of Fellows, click here.

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

**Baras, John S.**- 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.*

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

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

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

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

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

**Ceniceros, Hector D.**- 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.*

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

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

**Dickenstein, Alicia**- 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.*

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

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

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

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

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

**Goldin, Rebecca F.**- 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.*

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

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

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

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

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

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

**Hunt, Fern Yvette**- 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.*

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

**Shivaji, Ratnasingham**- 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.*

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

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

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

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

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

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

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

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

**Vigoda, Eric**- 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.*

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

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

**Widlund, Olof B.**- 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.*

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

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

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

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

An asterisk to the right of a Fellow's name indicates that the individual is deceased.