Some great contemporary mathematicians

David Mumford Algebraic geometry
Bryan John Birch Elliptic curves
Michael Francis Atiyah Geometry and physics
Isadore Manual Singer
Michael Leonidovich Gromov
Karen Keskulla Uhlenbeck
Phillip Griffiths
Heisuke Hironaka
John Willard Milnor
Joan S. Birman
Simon Donaldson
Michael Freedman
Margaret Dusa McDuff
Bertram Kostant
Maryam Mirzakhani
Curtis MuMullen
Marina Ratner
Yakov Grigorevich Sinai
Terence Chi-Shen Tao
Charles Louis Fefferman
William Browder
Alain Connes incommutative geometry
Israel Moiseevich Gelfand
Sathamangalam Rangaiyengar
Srinivasa Varadhan
Jean-Pierre Serre
Marcus du Sautoy
Enrico Bombieri
Pierre Deligne
Don Zagier
Barry Mazur
Andrew John Wiles
Manjul Bhargava
John T Tate
Nicholas Michael Katz