The 2018 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
2019
2020
2021
*

To view the full list of Fellows, click here.

**Abouzaid, Mohammed**- Columbia University
*For contributions to symplectic geometry, homological mirror symmetry, and service to the profession.*

**Anderson, Daniel D.**- University of Iowa
*For contributions to commutative algebra and its exposition, service to the mathematical community, and mentoring.*

**Ardila, Federico**- San Francisco State University
*For contributions to combinatorics and service to the profession.*

**Barcelo, Hélène**- Mathematical Sciences Research Institute
*For contributions to combinatorics and service to the profession.*

**Basor, Estelle**- American Institute of Mathematics
*For contributions to analysis and for service to the mathematical community.*

**Behrend, Kai**- University of British Columbia
*For contributions to algebraic geometry.*

**Benzi, Michele**- Emory University
*For contributions in numerical linear algebra, exposition, and service to the profession.*

**Blasius, Don**- University of California, Los Angeles
*For contributions to arithmetic algebraic geometry and representation theory.*

**Borisov, Lev**- Rutgers The State University of New Jersey New Brunswick
*For contributions to algebraic geometry and mirror symmetry.*

**Bousfield, Aldridge**^{*}- University of Illinois at Chicago
*For contributions to homotopy theory and for exposition.*

**Bradlow, Steven**- University of Illinois, Urbana-Champaign
*For contributions to geometric analysis and moduli theory, and service to the mathematical community.*

**Candès, Emmanuel**- Stanford University
*For contributions to the field of compressed sensing, and to multiscale analysis, statistics, and matrix completion.*

**Coskun, Izzet**- University of Illinois at Chicago
*For contributions to algebraic geometry, and for mentoring.*

**Davis, James**- Indiana University, Bloomington
*For contributions to geometric topology especially through surgery theory, and for exposition.*

**Ebenfelt, Peter**- University of California, San Diego
*For contributions to CR geometry, complex geometry, and several complex variables, and for mentoring and professional service.*

**Ferrini-Mundy, Joan**- National Science Foundation
*For contributions to mathematics education, and to the development of educational policy and initiatives.*

**Grassi, Antonella**- University of Pennsylvania
*For contributions to algebraic geometry and mathematical physics, and for leadership in mentoring programs.*

**Grodal, Jesper**- University of Copenhagen
*For contributions to algebraic topology, representation theory and their interactions, and for service to the profession.*

**Gutierrez, Cristian E.**- Temple University
*For contributions to nonlinear partial differential equations and its applications to geometric optics, and mentoring.*

**Hoffman, David A.**- Stanford University
*For contributions to differential geometry, particularly minimal surface theory, and for pioneering the use of computer graphics as an aid to research.*

**Howard, William A.**- University of Illinois at Chicago
*For contributions to proof theory and constructive foundations of mathematics.*

**Ionescu, Alexandru**- Princeton University
*For contributions to harmonic analysis on symmetric spaces, discrete analogs of singular Radon transforms, and the mathematics of general relativity.*

**Kailath, Thomas**- Stanford University
*For contributions to information theory and related areas, and for applications.*

**Klainerman, Sergiu**- Princeton University
*For contributions to partial differential equations, to the mathematical theory of general relativity, and mentoring.*

**Kuhn, Nicholas J.**- University of Virginia
*For contributions to homotopy theory, group cohomology and representation theory.*

**Kukavica, Igor**- University of Southern California
*For contributions to nonlinear partial differential equations, mentoring, and service to the profession.*

**Lieblich, Max**- University of Washington
*For contributions to algebraic geometry and for service to the mathematical community.*

**Losev, Ivan**- Northeastern University
*For contributions to geometric representation theory, noncommutative algebra, and the theory of categorification.*

**Lu, Guozhen**- University of Connecticut, Storrs
*For contributions to harmonic analysis and partial differential equations, and for service to the mathematical community.*

**Luo, Feng**- Rutgers The State University of New Jersey New Brunswick
*For contributions to Teichmueller theory, conformal geometry, hyperbolic geometry, 3-manifolds, combinatorial topology and computer graphics.*

**Marcus, Brian**- University of British Columbia
*For contributions to dynamical systems, symbolic dynamics and applications to data storage problems, and service to the profession.*

**Marques, Fernando Codá**- Princeton University
*For contributions to geometric analysis.*

**Miller, Stephen D.**- Rutgers The State University of New Jersey New Brunswick
*For contributions to analytic number theory, cryptography, and theoretical physics.*

**Müller, Detlef**- Christian-Albrechts-Universität zu Kiel
*For contributions to harmonic analysis and partial differential equations.*

**Munkres, James R.**- Massachusetts Institute of Technology
*For contributions to algebraic topology, and for exposition.*

**Naber, Aaron**- Northwestern University
*For contributions to differential geometry, particularly to manifolds with bounds on Ricci curvature.*

**Nathanson, Melvyn B.**- The City University of New York, The Graduate Center and Lehman College
*For contributions to the development of additive combinatorics and service to the profession.*

**Ni, Lei**- University of California, San Diego
*For contributions to geometric analysis, particularly to Ricci flow, and for mentorship.*

**Pardon, John**- Princeton University
*For contributions to knot distortion, the Hilbert-Smith conjecture, and pseudo-holomorphic curves.*

**Polacik, Peter**- University of Minnesota-Twin Cities
*For contributions to analysis of partial differential equations and infinite-dimensional dynamical systems.*

**Porter, Mason A.**- University of California, Los Angeles
*For contributions to nonlinear and complex systems, and to the emerging field of network science.*

**Pries, Rachel Justine**- Colorado State University
*For contributions to arithmetic geometry, and for service to the mathematical community.*

**Putman, Andrew**- University of Notre Dame
*For contributions to combinatorial and geometric group theory and topology.*

**Rains, Eric M.**- California Institute of Technology
*For contributions to quantum information theory and coding theory, the theory of random matrices, the study of special functions, non-commutative geometry and number theory.*

**Ramanan, Kavita**- Brown University
*For contributions to the theory and applications of stochastic processes.*

**Sarnak, Peter**- Princeton University and Institute for Advanced Study
*For contributions to number theory and analysis.*

**Schumaker, Larry L.**- Vanderbilt University
*For contributions to spline theory, approximation theory, and numerical analysis, and for service to the profession.*

**Schwarz, Albert**- University of California, Davis
*For contributions to mathematical physics.*

**Seppäläinen, Timo**- University of Wisconsin, Madison
*For contributions to probability.*

**Smith, Roger R.**- Texas A&M University
*For contributions to operator theory and operator algebras.*

**Soundararajan, Kannan**- Stanford University
*For contributions to analytic number theory.*

**Srinivasan, Hema**- University of Missouri-Columbia
*For contributions to algebra and algebraic geometry, mentoring, and service to the mathematical community.*

**Swartz, Ed**- Cornell University
*For contributions to topological and geometric combinatorics.*

**Tavaré, Simon**- University of Cambridge
*For contributions to population genetics and computational biology, and for service to the profession.*

**Teran, Joseph M.**- University of California, Los Angeles
*For contributions to numerical methods for partial differential equations in classical physics with modern applications.*

**Thomas, Richard P.**- Imperial College
*For contributions to algebraic geometry.*

**Vigneras, Marie-France**- Université Paris-Diderot
*For contributions to the Langlands program and the theory of automorphic forms.*

**Vinet, Luc**- Université de Montréal
*For contributions to mathematical physics and special functions, and for service to the mathematical community.*

**Wang, Weiqiang**- University of Virginia
*For contributions to Lie theory and representation theory and service to the mathematical community.*

**Weiss, Richard M.**- Tufts University
*For contributions to group theory and geometry, and for exposition.*

**Witherspoon, Sarah**- Texas A&M University
*For contributions to representation theory and cohomology of Hopf algebras, quantum groups, and related objects, and for service to the profession and mentoring.*

**Yakimov, Milen**- Louisiana State University, Baton Rouge
*For contributions to noncommutative algebra and service to the mathematical community.*

**Yan, Catherine Huafei**- Texas A&M University
*For contributions to combinatorics and discrete geometry.*

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