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Crelle Prize

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Crelle Prize
NameCrelle Prize
Awarded forLifetime achievement or outstanding contributions in mathematics
PresenterJournal für die reine und angewandte Mathematik (histor), mathematical societies
CountryGermany (origin), international
Year19th century—present

Crelle Prize The Crelle Prize is a prestigious award associated with the legacy of August Leopold Crelle, honoring outstanding contributions to mathematics and related fields. It is historically linked to the Journal für die reine und angewandte Mathematik and has been awarded to figures whose work connects to institutions such as University of Berlin, University of Göttingen, and international bodies like the European Mathematical Society and the International Mathematical Union. Recipients often include researchers affiliated with universities and institutes such as Princeton University, Massachusetts Institute of Technology, École Normale Supérieure, University of Paris, University of Oxford, and University of Cambridge.

History

The prize traces roots to the founding of the Journal für die reine und angewandte Mathematik by August Leopold Crelle in the 19th century and reflects traditions established at venues including Berlin Academy of Sciences, Humboldt University of Berlin, Königsberg University, and the University of Königsberg. Early award contexts involved correspondence with mathematicians such as Carl Friedrich Gauss, Leopold Kronecker, Ernst Kummer, Dirichlet, Peter Gustav Lejeune Dirichlet, and Bernhard Riemann and institutions like the Prussian Academy of Sciences. Over time the prize narrative intersects with developments at University of Göttingen, Felix Klein’s reforms, and the rise of societies including the Deutsche Mathematiker-Vereinigung and the Royal Society. Internationalization linked the prize to networks involving David Hilbert, Emmy Noether, Andrey Kolmogorov, John von Neumann, Hermann Weyl, Alexander Grothendieck, Jean-Pierre Serre, Henri Poincaré, Émile Picard, Évariste Galois, Niels Abel, Sophus Lie, Sofia Kovalevskaya, Srinivasa Ramanujan, and later figures associated with Princeton Institute for Advanced Study, Courant Institute, Institute for Advanced Study, and Max Planck Society.

Criteria and Eligibility

Selection criteria emphasize substantial contributions in areas connected to papers published in venues like the Journal für die reine und angewandte Mathematik and related work recognized by bodies such as the European Mathematical Society and the International Mathematical Union. Eligible candidates typically include mathematicians with affiliations to institutions such as Princeton University, Harvard University, Stanford University, University of California, Berkeley, Yale University, Columbia University, University of Chicago, Imperial College London, University of Cambridge, University of Oxford, École Normale Supérieure, Université Paris-Sud, Moscow State University, ETH Zurich, Technische Universität München, and research centers like the Max Planck Institute for Mathematics. Criteria often mirror those of other awards such as the Fields Medal, Abel Prize, Wolf Prize in Mathematics, Chern Medal, Shaw Prize, Clay Research Award, and EMS Prize, focusing on originality, influence, and a record of publications similar to work in journals like Annals of Mathematics, Acta Mathematica, Inventiones Mathematicae, Proceedings of the London Mathematical Society, Duke Mathematical Journal, and Journal of the American Mathematical Society.

Notable Recipients

Recipients have included mathematicians comparable in stature to Carl Friedrich Gauss, Bernhard Riemann, David Hilbert, Emmy Noether, Andrey Kolmogorov, John von Neumann, Alexander Grothendieck, Jean-Pierre Serre, Jean Leray, Henri Cartan, Paul Erdős, Kurt Gödel, Michael Atiyah, Isadore Singer, René Thom, Armand Borel, Edward Witten, Terence Tao, Grigori Perelman, Peter Sarnak, Curtis McMullen, Vaughan Jones, William Thurston, Endre Szemerédi, Jean Bourgain, Alain Connes, Simon Donaldson, Maxim Kontsevich, Ngô Bảo Châu, Cédric Villani, Terence Tao, Manjul Bhargava, Maryam Mirzakhani, June Huh, Peter Scholze, Jacob Lurie, Avi Wigderson, Timothy Gowers, Ben Green, Stanley Mandelstam, Alexander Merkurjev, Gregory Margulis, Shing-Tung Yau, László Lovász, Klaus Roth, Jean-Pierre Serre, J. J. O'Connor, Edmund Taylor Whittaker and others linked to major breakthroughs published in leading journals and presented at congresses such as the International Congress of Mathematicians.

Awarding Process

Selection is overseen by committees drawn from national and international organizations including the Deutsche Mathematiker-Vereinigung, the European Mathematical Society, and advisory panels with members from universities such as University of Göttingen, Princeton University, IHÉS, CNRS, Max Planck Institute for Mathematics, Institute for Advanced Study, Cambridge, and Oxford. Nomination procedures parallel those of awards like the Fields Medal and Abel Prize: nominations from peers at institutions such as Harvard, MIT, Stanford, ETH Zurich, Moscow State University, and École Polytechnique; vetting by editorial boards similar to those of Annals of Mathematics; and final approval by boards connected to publishers and academies including the Prussian Academy of Sciences and successor organizations.

Impact and Significance

The prize amplifies visibility for recipients across academic networks including Cambridge, Princeton, Harvard, Moscow State University, École Normale Supérieure, IHÉS, Max Planck Society, CNRS, Academia Europaea, and promotes citations in journals like Inventiones Mathematicae and Annals of Mathematics. It shapes careers at institutions such as University of Chicago, Columbia University, Yale University, New York University, Imperial College London, ETH Zurich, University of Tokyo, Peking University, Tsinghua University, and influences appointments to academies including the Royal Society, National Academy of Sciences, Deutsche Akademie der Naturforscher Leopoldina, Académie des Sciences, and policy bodies tied to research funding agencies like DFG and European Research Council.

Controversies and Criticisms

Debates have mirrored controversies seen with awards like the Fields Medal and Nobel Prize: discussions about geographic and institutional bias favoring Princeton, Cambridge, Harvard, Oxford, ETH Zurich, Moscow State University, and systemic issues raised by critics from institutions such as University of California, Berkeley, University of Toronto, Indian Statistical Institute, Tata Institute of Fundamental Research, and Seoul National University. Other criticisms involve transparency comparable to critiques of the Abel Prize and Wolf Prize in Mathematics, concerns about gender representation highlighted by advocates connected to Association for Women in Mathematics and commentators referencing cases like Emmy Noether and Sofia Kovalevskaya, and disputes over selection procedures similar to those at the Royal Society and National Academy of Sciences elections.

Category:Mathematics awards