In 2002, the year marking the bicentennial of Abel's birth, the Norwegian P- liament established the Niels Henrik Abel Memorial Fund with the objective of creating an international prize for outstanding scienti c work in the eld of mathematics-the Abel Prize. In this book we would like to present the Abel Prize and the Abel Laureates of the rst ve years. The book results from an initiative of the Mathematics section of the Norwegian Academy of Science and Letters. It is intended as the rst volume in a series, each volume comprising ve years. The book starts with the history of the Abel Prize-a story that goes back more than a hundred years-written by Abel's biographer, Arild Stubhaug. It is followed by Nils A. Baas' biographical sketch of Atle Selberg; at the opening ceremony of the Abel Bicentennial Conference in Oslo in 2002, an Honorary Abel Prize was presented to Atle Selberg. Thereisonepartforeachoftheyears2003-2007.Eachpartstartswithanauto- ographical piece by the laureate(s).
Then follows a text on the laureate's work: Pilar Bayer writes on the work of Jean-Pierre Serre, Nigel Hitchin on Atiyah-Singer's - dexTheorem,HelgeHoldenandPeterSarnakontheworkofPeterLax,TomKorner on Lennart Carleson, and Terry Lyons on Srinivasa Varadhan. Each part contains a complete bibliography and a curriculum vitae, as well as photos-old and new.
The History of the Abel Prize and the Honorary Abel Prize.- The History of the Abel Prize.- 2002-an Honorary Abel Prize to Atle Selberg.- 2003 Jean-Pierre Serre.- Jean-Pierre Serre: Mon premier demi-siecle au College de France / Jean-Pierre Serre: My First Fifty Years at the College de France.- Jean-Pierre Serre: An Overview of His Work.- List of Publications for Jean-Pierre Serre.- 2004 Sir Michael Atiyah and Isadore M. Singer.- Autobiography.- Autobiography.- The Atiyah-Singer Index Theorem.- List of Publications for Sir Michael Atiyah and Isadore M. Singer.- 2005 Peter D. Lax.- Autobiography.- A Survey of Peter D. Lax's Contributions to Mathematics.- List of Publications for Peter D. Lax.- 2006 Lennart Carleson.- Reflections on My Life as a Mathematician.- Carleson for Beginners.- List of Publications for Lennart Carleson.- 2007 S.R. Srinivasa Varadhan.- Autobiography.- A Personal Perspective on Raghu Varadhan's Role in the Development of Stochastic Analysis.- List of Publications for S.R. Srinivasa Varadhan.