Mathematicians who have made significant contributions and have had a notable impact on the field during 21st century:
Andrew Wiles: Wiles is best known for proving Fermat's Last Theorem, one of the most famous unsolved problems in mathematics, in 1994. His work revolutionized the study of number theory and brought significant attention to the field.
Terence Tao: Tao is a Fields Medalist who has made groundbreaking contributions to a wide range of mathematical areas, including harmonic analysis, partial differential equations, and number theory. He is known for his deep insights and problem-solving skills.
Grigori Perelman: Perelman gained international fame for proving the Poincaré conjecture, a significant problem in topology. He was awarded the Fields Medal in 2006, although he declined the honor. Perelman's work had a profound impact on our understanding of three-dimensional manifolds.
Maryam Mirzakhani: Mirzakhani became the first woman to win the Fields Medal in 2014 for her contributions to the fields of geometry and dynamical systems, particularly in the study of moduli spaces of Riemann surfaces. Her innovative approaches and insights opened up new avenues in these areas.
Elon Lindenstrauss: Lindenstrauss is a mathematician known for his work in ergodic theory, a branch of mathematics that studies the behavior of dynamic systems. He was awarded the Fields Medal in 2010 for his groundbreaking results in this field.
Richard Taylor: Taylor is a mathematician who has made significant contributions to number theory, especially in the areas of modular forms and Galois representations. He received the Fields Medal in 1998 for his joint work with Andrew Wiles on the proof of Fermat's Last Theorem.
Jean Bourgain: Bourgain was a prolific mathematician who made fundamental contributions to various branches of mathematics, including harmonic analysis, partial differential equations, and number theory. His work has had a profound impact on these fields and has influenced numerous mathematicians.
Peter Scholze: Scholze is a mathematician who has made remarkable contributions to arithmetic geometry and the theory of perfectoid spaces. He received the Fields Medal in 2018 for his revolutionary work, which has opened up new perspectives in these areas.
Manjul Bhargava: Bhargava is a number theorist who has made significant contributions to the study of quadratic forms and higher-degree forms. He received the Fields Medal in 2014 for his groundbreaking discoveries in number theory and his development of new techniques.
Cédric Villani: Villani is a mathematician known for his work in partial differential equations, optimal transport, and mathematical physics. He received the Fields Medal in 2010 for his exceptional contributions to these fields and his ability to bridge mathematics and other disciplines.
