Since the laureates for 2013 have just been announced, here is the full list of Clay Research Fellows by year (with URLs valid as of february 2013):
2000: Manjul Bhargava, Dennis Gaitsgory, Terence Tao
2001: Roman Bezrukavnikov, Alexei Borodin, Daniel Gottesman, Sergei Gukov, Mircea Mustata
2002: Daniel Biss, Igor Rodnianski
2003: Maria Chudnovsky, Elon Lindenstrauss
2004: Ciprian Manolescu, Maryam Mirzakhani, András Vasy, Akshay Venkatesh
2005: Bo’az Klartag, Ben Green, David Speyer
2006: Artur Avila, Sophie Morel, Sam Payne
2007: Mohammed Abouzaid, Soren Galatius, Davesh Maulik, Teruyoshi Yoshida
2008: Spyros Alexakis, Adrian Ioana, Xinyi Yuan
2009: Sucharit Sarkar
2010: Tim Austin
2011: Peter Scholze
2012: Ivan Corwin, Jack Thorne
2013: Semyon Dyatlov, Aaron Pixton
episodic thoughts 