Mathematische Annalen

Mathematische Annalen
Title	Mathematische Annalen
Discipline	Mathematics
Abbreviation	Math. Ann.
Language	German, English
Publisher	Springer
Country	Germany
History	1868–present
Frequency	Monthly
Issn	0025-5831

Mathematische Annalen is a peer-reviewed mathematical journal founded in the 19th century that has published research in pure mathematics, featuring contributions in algebra, analysis, geometry, topology, and mathematical physics. The journal has been associated with prominent European and international mathematicians and has played a role in disseminating work linked to institutions across Europe and the United States, shaping modern research traditions through editorial leadership and landmark papers. Its archive documents interactions among figures tied to universities, academies, and societies influential in the development of mathematical thought.

History

The journal was established in 1868 during the era of the German Empire under the influence of mathematicians connected to the University of Göttingen, Humboldt University of Berlin, University of Bonn, University of Leipzig, and University of Jena, and it soon became entwined with networks around the Prussian Academy of Sciences, Deutsche Mathematiker-Vereinigung, Akademie der Wissenschaften zu Berlin, and publishing houses such as Springer Science+Business Media and B. G. Teubner Verlag. Early contributors included figures associated with Bernhard Riemann, Karl Weierstrass, Felix Klein, Hermann Minkowski, and David Hilbert, while later decades saw submissions from researchers at University of Cambridge, École Normale Supérieure, Université Paris-Sorbonne, ETH Zurich, University of Munich, University of Vienna, and Princeton University. The journal’s trajectory intersected with events such as the Franco-Prussian War, World War I, World War II, and the reorganization of European academic institutions after the Treaty of Versailles, reflecting broader shifts affecting scientists including those at the Max Planck Society and the Royal Society. Over time it adapted to changing publication technologies introduced by firms like Springer Nature and the rise of electronic distribution linked to initiatives at arXiv and consortia such as CrossRef.

Editorial Board and Notable Editors

Editorial leadership has included editors with affiliations to University of Leipzig, University of Göttingen, University of Berlin, ETH Zurich, University of Bonn, University of Freiburg, University of Hamburg, University of Zurich, University of Oxford, and Harvard University. Notable editors have been associated with the legacies of mathematicians like David Hilbert, Felix Klein, Hermann Weyl, Emmy Noether, Richard Courant, Ernst Zermelo, Konrad Knopp, Otto Hölder, Carl Gustav Jacob Jacobi, Georg Cantor, Leopold Kronecker, Ernst Steinitz, Heinrich Weber, Ferdinand von Lindemann, Jacques Hadamard, Émile Picard, André Weil, Hendrik Lorentz, John von Neumann, Norbert Wiener, Andrey Kolmogorov, Kurt Gödel, Paul Erdős, Stefan Banach, Alfred Tarski, L. E. J. Brouwer, Marcel Riesz, Salomon Bochner, Ludwig Bieberbach, Max Dehn, Otto Schmidt, Hermann Schwarz, Georg Frobenius, Issai Schur, Ernst S. Selmer, Olga Taussky-Todd, and G. H. Hardy. The board historically included representatives from the Deutsche Forschungsgemeinschaft and collaborating editors linked to academies such as the Royal Society of Edinburgh and the Académie des Sciences.

Scope and Publication Model

The journal’s remit covers areas linked to work by practitioners at Princeton University, University of Chicago, Massachusetts Institute of Technology, California Institute of Technology, Stanford University, Columbia University, Yale University, University of California, Berkeley, McGill University, and University of Toronto, publishing papers in algebraic geometry, differential equations, functional analysis, number theory, and mathematical logic associated with scholars from Institut des Hautes Études Scientifiques, Max Planck Institute for Mathematics, Clay Mathematics Institute, Institute for Advanced Study, and the Mathematical Sciences Research Institute. The publication model transitioned from nineteenth-century print runs managed by regional printers to twentieth-century commercial publishing with subscription models overseen by companies such as Springer-Verlag, later adopting electronic access and author services paralleling platforms maintained by Zentralblatt MATH, MathSciNet, and CrossRef. Peer review procedures have mirrored standards seen at journals like Acta Mathematica, Annals of Mathematics, Inventiones Mathematicae, Journal of the American Mathematical Society, and Transactions of the American Mathematical Society, with editorial workflows coordinated through editorial offices and institutional partners such as Elsevier and scholarly societies including the American Mathematical Society.

Influential Papers and Contributions

The journal has published influential papers associated with seminal advances related to mathematicians such as Bernhard Riemann, David Hilbert, Felix Klein, Emmy Noether, Hermann Minkowski, André Weil, John von Neumann, Andrey Kolmogorov, Kurt Gödel, Norbert Wiener, Paul Erdős, Stefan Banach, Henri Poincaré, Élie Cartan, Sophus Lie, Niels Henrik Abel, Évariste Galois, Carl Friedrich Gauss, Leonhard Euler, Bernhard Bolzano, Joseph-Louis Lagrange, Sofia Kovalevskaya, Aleksandr Lyapunov, Jacques Hadamard, George D. Birkhoff, Lars Ahlfors, Kiyoshi Oka, Kunihiko Kodaira, Jean-Pierre Serre, Alexander Grothendieck, Michael Atiyah, Isadore Singer, John Milnor, William Thurston, Edward Witten, Pierre Deligne, Gerd Faltings, Grigori Perelman, Terence Tao, Andrew Wiles, Cédric Villani, Max Born, Enrico Fermi, Paul Dirac, Erwin Schrödinger, Richard Feynman, Hermann Weyl, and E. T. Bell. Contributions have influenced topics linked to the Riemann hypothesis, Hilbert's problems, Noether's theorem, Minkowski space, Weierstrass preparation theorem, Gödel's incompleteness theorems, Kolmogorov complexity, Banach space theory, Algebraic geometry of Grothendieck, Index theorem of Atiyah–Singer, Poincaré conjecture, and aspects of quantum mechanics intersecting mathematical analysis and topology.

Abstracting, Indexing, and Impact

The journal is indexed by services and databases such as MathSciNet, Zentralblatt MATH, Web of Science, Scopus, Google Scholar, CrossRef, and entries are catalogued in university libraries at University of Cambridge, University of Oxford, Harvard University, Yale University, University of California, Berkeley, University of Toronto, Princeton University, ETH Zurich, and the Bodleian Library. Its impact has been discussed in contexts involving citation analysis practiced at institutions like the Institute for Scientific Information and metrics produced by entities such as Clarivate Analytics and Elsevier; historical citation patterns show links to works published in Acta Mathematica, Annals of Mathematics, Inventiones Mathematicae, Journal of the London Mathematical Society, and Proceedings of the National Academy of Sciences.

Controversies and Criticism

The journal’s editorial decisions and publication practices have occasionally been criticized in debates involving figures associated with Nazi Germany, Weimar Republic, and postwar academia, with controversies touching on editorial appointments, publication ethics, and ideological pressures experienced by scholars at University of Göttingen, University of Berlin, University of Hamburg, University of Vienna, and other centers; disputes invoked broader institutions including the Max Planck Society, Deutsche Forschungsgemeinschaft, and international academies such as the Royal Society and the Académie des Sciences. Criticism has also arisen in discussions paralleling those around commercial publishers like Springer Nature and Elsevier concerning subscription pricing, access models, and open access initiatives championed by agencies such as the European Commission, H2020, and organizations like the Open Access Scholarly Publishers Association and SPARC.

Category:Mathematics journals