Abel Prize Laureates (2003 – 2026)
2003年の創設から2026年までの歴代アーベル賞受賞者26名のリスト。
【Abel Prize Laureates (2003 – 2026)】
| Award Year | Name | Birth Year | Key Paper / Seminal Work | Core Contribution |
| 2026 | Gerd Faltings | 1954 | Endlichkeitssätze für abelsche Varietäten über Zahlkörpern (1983) | Introducing powerful tools in arithmetic geometry and solving long-standing Diophantine conjectures by Mordell and Lang. |
| 2025 | Masaki Kashiwara | 1947 | On the maximally overdetermined system of linear differential equations (1970) | Founding the theories of D-modules and crystal bases in algebraic analysis, making profound contributions to representation theory and related fields. |
| 2024 | Michel Talagrand | 1952 | Regularity of Gaussian processes (1987) | Groundbreaking contributions to probability theory and stochastic processes, with exceptional impacts on concentration inequalities and the mathematical understanding of spin glasses. |
| 2023 | Luis A. Caffarelli | 1948 | The regularity of free boundaries in higher dimensions (1977) | Seminal contributions to regularity theory for nonlinear partial differential equations, including free-boundary problems and the Monge-Ampère equation. |
| 2022 | Dennis Sullivan | 1941 | Infinitesimal computations in topology (1977) | Groundbreaking contributions to topology in its broadest sense, and in particular its algebraic, geometric, and dynamical aspects. |
| 2021 | László Lovász Avi Wigderson | 1948 1956 | An algorithmic theory of numbers, graphs and convexity (1986) Hardness vs Randomness (1988) | Foundational contributions to theoretical computer science and discrete mathematics, and their leading role in shaping them into central fields of modern mathematics. |
| 2020 | Hillel Furstenberg Gregory Margulis | 1935 1946 | Noncommuting random products (1960) Discrete groups of motions of manifolds of nonpositive curvature (1975) | Pioneering the use of methods from probability and dynamics in group theory, number theory, and combinatorics. |
| 2019 | Karen Uhlenbeck | 1942 | Regularity for a class of non-linear elliptic systems (1977) | Pioneering achievements in geometric partial differential equations, gauge theory, and integrable systems, and for the fundamental impact of her work on analysis, geometry and mathematical physics. |
| 2018 | Robert Langlands | 1936 | Letter to André Weil (1967) | Propounding a visionary program connecting representation theory to number theory (The Langlands Program). |
| 2017 | Yves Meyer | 1939 | Ondelettes et opérateurs (1990) | His pivotal role in the development of the mathematical theory of wavelets. |
| 2016 | Andrew Wiles | 1953 | Modular elliptic curves and Fermat’s Last Theorem (1995) | His stunning proof of Fermat’s Last Theorem by way of the modularity conjecture for semistable elliptic curves, opening a new era in number theory. |
| 2015 | John F. Nash Jr. Louis Nirenberg | 1928 1925 | Continuity of solutions of parabolic and elliptic equations (1958) On Riemann’s mapping theorem for pseudo-analytic functions (1953) | Striking and seminal contributions to the theory of nonlinear partial differential equations and its applications to geometric analysis. |
| 2014 | Yakov G. Sinai | 1935 | On the concept of entropy for a dynamic system (1959) | Fundamental contributions to dynamical systems, ergodic theory, and mathematical physics. |
| 2013 | Pierre Deligne | 1944 | La conjecture de Weil. I (1974) | Seminal contributions to algebraic geometry and for their transformative impact on number theory, representation theory, and related fields (proving the Weil Conjectures). |
| 2012 | Endre Szemerédi | 1940 | On sets of integers containing no k elements in arithmetic progression (1975) | Fundamental contributions to discrete mathematics and theoretical computer science, and in recognition of the profound and lasting impact of these contributions on additive number theory and ergodic theory. |
| 2011 | John Milnor | 1931 | On manifolds homeomorphic to the 7-sphere (1956) | Pioneering discoveries in topology, geometry, and algebra (including the discovery of exotic 7-spheres). |
| 2010 | John Tate | 1925 | Fourier analysis in number fields, and Hecke’s zeta-functions (1950) | His vast and lasting impact on the theory of numbers. |
| 2009 | Mikhail Gromov | 1943 | Pseudo holomorphic curves in symplectic manifolds (1985) | Revolutionary contributions to geometry, specifically founding geometric group theory and metric geometry. |
| 2008 | John G. Thompson Jacques Tits | 1932 1930 | Solvability of groups of odd order (1963) Théorème de l’alternative de Tits (1972) | Profound achievements in algebra and in particular for shaping modern group theory. |
| 2007 | S. R. Srinivasa Varadhan | 1940 | On the behavior of large deviations for the Brownian motion process (1966) | Fundamental contributions to probability theory and in particular for creating a unified theory of large deviations. |
| 2006 | Lennart Carleson | 1928 | On convergence and growth of partial sums of Fourier series (1966) | Profound and seminal contributions to harmonic analysis and the theory of smooth dynamical systems. |
| 2005 | Peter Lax | 1926 | Weak solutions of non-linear hyperbolic equations and their numerical computation (1954) | Groundbreaking contributions to the theory and application of partial differential equations and to the computation of their solutions. |
| 2004 | Michael Atiyah Isadore Singer | 1929 1924 | The index of elliptic operators (1963) | The discovery and proof of the Atiyah–Singer index theorem, bringing together topology, geometry and analysis, and their outstanding role in building new bridges between mathematics and theoretical physics. |
| 2003 | Jean-Pierre Serre | 1926 | Faisceaux Algébriques Cohérents (1955) | Playing a key role in shaping the modern form of many parts of mathematics, including topology, algebraic geometry and number theory. |