The Abel Prize 2013-2017

The book presents the winners of the Abel Prize in mathematics for the period 2013–17: Pierre Deligne (2013); Yakov G. Sinai (2014); John Nash Jr. and Louis Nirenberg (2015); Sir Andrew Wiles (2016); and Yves Meyer (2017). The profiles feature autobiograp

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he Abel Prize 2013–2017

The Abel Prize 2013–2017

Niels Henrik Abel 1802–1829 The only contemporary portrait of Abel, painted by Johan Gørbitz in 1826 © Matematisk institutt, Universitetet i Oslo

Helge Holden • Ragni Piene Editors

The Abel Prize 2013–2017

123

Editors Helge Holden Department of Mathematical Sciences NTNU Norwegian University of Science and Technology Trondheim, Norway

Ragni Piene Department of Mathematics University of Oslo Oslo, Norway

Photo of Pierre Deligne on part title page by Heiko Junge/NTB Scanpix Photo of Pierre Deligne on first page of his Curriculum Vitae by Cliff Moore Institute for Advanced Study Photo of Yakov G. Sinai on part title page by Håkon Mosvold Larsen/NTB Scanpix Photo of Yakov G. Sinai on first page of his Curriculum Vitae by Harald Hanche-Olsen Photo of John F. Nash and Louis Nirenberg on part title page by Berit Roald/NTB Scanpix. Photo of Louis Nirenberg on the first page of his Curriculum Vitae by Harald Hanche-Olsen Photo of Sir Andrew J. Wiles on part title page by Audun Braastad. Photo of Sir Andrew J. Wiles on first page of his Curriculum Vitae by Harald Hanche-Olsen Photo of Yves Meyer on part title page by Thomas Brun/NTB Scanpix. Photo of Yves Meyer on the first page of his Curriculum Vitae by Harald Hanche-Olsen

Additional material to this book can be downloaded from http://extras.springer.com. ISSN 2661-829X ISSN 2661-8303 (electronic) The Abel Prize ISBN 978-3-319-99027-9 ISBN 978-3-319-99028-6 (eBook) https://doi.org/10.1007/978-3-319-99028-6 Mathematics Subject Classification (2010): 00-XX © Springer Nature Switzerland AG 2019 First Steps (pp. 555) is published with kind permission of ©Andrew Wiles. All Rights Reserved. This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Switzerland AG The registered company address is: Ge