Contemporary mathematician one should know about

Wikipedia has a list of 21st-century mathematicians while the book Mathematicians : an outer view of the inner world has the following list in portrait form with their autobiography:

Adebisi Agboola -- Michael Artin -- Michael Francis Atiyah -- Manjul Bhargava -- Bryan John Birch -- Joan S. Birman -- David Harold Blackwell -- Enrico Bombieri -- Richard Ewen Borcherds -- Andrew Browder -- Felix E. Browder -- William Browder -- Lennart Axel Edvard Carleson -- Henri Cartan -- Sun-Yung Alice Chang -- Alain Connes -- John Horton Conway -- Kevin David Corlette -- Ingrid Chantal Daubechies -- Pierre Deligne -- Persi Warren Diaconis -- Simon Donaldson -- Noam D. Elkies -- Gerd Faltings -- Charles Louis Fefferman -- Robert Fefferman -- Michale Freedman -- Israel Moiseevich Gelfand -- William Timothy Gowers -- Phillip Griffiths -- Mikhael Leonidovich Gromov -- Benedict H. Gross -- Robert Clifford Gunning -- Eriko Hironaka -- Heisuke Hironaka -- Friedrich E. Hirzebruch -- Vaughan Frederick Randal Jones -- Nicholas Micahel Katz -- Robion Kirby -- Frances Kirwan -- Joseph John Kohn -- János Kollár -- Bertram Kostant -- Harold William Kuhn -- Robert Phelan Langlands -- Peter David Lax -- Robert D. MacPherson -- Paul Malliavin -- Benoit Mandelbrot -- William Alfred Massey -- John N. Mather -- Barry Mazur -- Margaret Dusa McDuff -- Curtis McMullen -- John Willard Milnor -- Maryam Mirzakhani -- Cathleen Synge Morawetz -- David Mumford -- John Forbes Nash, Jr. -- Edward Nelson -- Louis Nirenberg -- George Olatokunbo Okikiolu -- Kate Adebola Okikiolu -- Andrei Okounkov -- Roger Penrose -- Arlie Petters -- Marina Ratner -- Kenneth Ribet -- Peter Clive Sarnak -- Marcus du Sautoy -- Jean-Pierre Serre -- James Harris Simons -- Yakov Grigorevich Sinai -- Isadore Manual Singer -- Yum-Tong Siu -- Stephen Smale -- Elias Menachem Stein -- Dennis Parnell Sullivan -- Terence Chi-Shen Tao -- Robert Endre Tarjan -- John T. Tate -- William Paul Thurston -- Gang Tian -- Burt Totaro -- Karen Keskulla Uhlenbeck -- Sathamangalam Rangaiyengar Srinivasa Varandhan -- Michèle Vergne -- Marie-France Vigneras -- Avi Wigderson -- Andrew John Wiles -- Shing-Tung Yau -- Don Zagier.

Answers to this question at MOF has some relevance here.

Direct proof that for a prime $p$ if $p\equiv 1 \bmod 4$ then $l(\sqrt{p})$ is odd.

Matsunaga's Method for solving $x^2+y^2=p$

Conjecture: the sequence of sums of all consecutive primes contains an infinite number of primes

Covering $\mathbb R^2$ with function graphs

Concrete examples and computations in differential geometry

Prove $\frac{xy}{5y^3+4}+\frac{yz}{5z^3+4}+\frac{zx}{5x^3+4} \leqslant \frac13$

Minimum values of the sequence $\{n\sqrt{2}\}$

Is here a specific name for the following theorem? (Sides of inscribed squares of a triangle meet at points collinear with a vertex of the triangle)

Find $\lim\limits_{n \to \infty} \int_0^1 f_n(x) \, dx$ with $f_0(x) = x$ and $f_{n+1}(x) = \sin (\pi f_n(x))$

Where did the word "logarithm" come from?

Fractional Derivative Implications/Meaning?