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cohomology. In 2010 special issues of Journal of K-theory and of Documenta Mathematica have been published in honour of his 60th birthday. He died in JulyAnil Nerode (712 words) [view diff] exact match in snippet view article find links to article
and Artificial Intelligence, Mathematical and Computer Modelling, Documenta Mathematica and others. In 2012 he became a fellow of the American MathematicalIna Kersten (221 words) [view diff] exact match in snippet view article find links to article
society. Under her leadership, the society founded the journal Documenta Mathematica. Birth date from German National Library catalog entry, retrievedStephen Lichtenbaum (317 words) [view diff] exact match in snippet view article find links to article
he was a Guggenheim Fellow. Since 1995 he has been co-editor of Documenta Mathematica. In 2012 he became a fellow of the American Mathematical SocietySplitsTree (334 words) [view diff] exact match in snippet view article find links to article
"Metric spaces in pure and applied mathematics" (PDF). Documenta Mathematica. Documenta Mathematica Series. 2: 121–139. doi:10.4171/dms/2/5. ISBN 978-3-98547-042-6Alexander Merkurjev (676 words) [view diff] exact match in snippet view article find links to article
the essential dimension of groups. In 2015 a special volume of Documenta Mathematica was published in honor of Merkurjev's sixtieth birthday. Max-AlbertThomas Geisser (566 words) [view diff] exact match in snippet view article find links to article
Fellowship (2000) and a Humboldt Prize (2021). He is editor for Documenta Mathematica and managing editor for Commentarii Mathematici Universitatis StMeigu Guan (607 words) [view diff] exact match in snippet view article find links to article
Mathematical Programming, Berlin, August 19–24, 2012, Documenta Mathematica, Documenta Mathematica Series, Extra: 43–50, doi:10.4171/dms/6/10, ISBN 978-3-936609-58-5Tight span (3,416 words) [view diff] exact match in snippet view article find links to article
"Metric spaces in pure and applied mathematics" (PDF), Documenta Mathematica, Documenta Mathematica Series, 2 (Proceedings Quadratic Forms LSU): 121–139Lefschetz pencil (491 words) [view diff] exact match in snippet view article find links to article
Simon K. (1998). "Lefschetz fibrations in symplectic geometry". Documenta Mathematica (Proceedings of the International Congress of Mathematicians, VolChinese postman problem (1,297 words) [view diff] exact match in snippet view article find links to article
Mathematical Programming, Berlin, August 19–24, 2012, Documenta Mathematica, Documenta Mathematica Series, Extra: 43–50, doi:10.4171/dms/6/10, ISBN 978-3-936609-58-5Barsotti–Tate group (516 words) [view diff] exact match in snippet view article find links to article
2010-11-25 de Jong, A. J. (1998), "Barsotti-Tate groups and crystals", Documenta Mathematica, Proceedings of the International Congress of Mathematicians, VolFuss–Catalan number (2,119 words) [view diff] exact match in snippet view article find links to article
Zyczkowski, Karol (2013). "Densities of the Raney distributions". Documenta Mathematica. 18: 1593–1596. arXiv:1211.7259. Bibcode:2012arXiv1211.7259M. doi:10Seppo Linnainmaa (334 words) [view diff] exact match in snippet view article find links to article
(2012). "Who Invented the Reverse Mode of Differentiation?" (PDF). Documenta Mathematica, Extra Volume ISMP. pp. 389–400. S2CID 15568746. Linnainmaa, SeppoGerman Mathematical Society (587 words) [view diff] exact match in snippet view article find links to article
publishes two scientific journals, the Jahresbericht der DMV and Documenta Mathematica. It also publishes a quarterly magazine for its membership the MitteilungenDavid Applegate (363 words) [view diff] exact match in snippet view article find links to article
International Congress of Mathematicians, Vol. III (Berlin, 1998) (PDF), Documenta Mathematica, pp. 645–656, MR 1648194, archived from the original (PDF) on 2017-07-13William Karush (380 words) [view diff] exact match in snippet view article find links to article
2020-01-28. "William Karush and the KKT Theorem" by Richard W. Cottle. Documenta Mathematica, 2012 William Karush at the Mathematics Genealogy Project v t eCaterina Consani (393 words) [view diff] exact match in snippet view article find links to article
Matthias (2012), "Modularity of the Consani–Scholten quintic" (PDF), Documenta Mathematica, 17: 953–987, doi:10.4171/dm/386, MR 3007681, S2CID 6475185 ThasStefan Müller (mathematician) (472 words) [view diff] exact match in snippet view article
International Congress of Mathematicians, 1998, Bd.II, S.691, Documenta Mathematica. with Bethuel, Huisken, Steffen: Variational models for microstructureTimeline of machine learning (1,847 words) [view diff] exact match in snippet view article find links to article
Invented the Reverse Mode of Differentiation?". Documenta Mathematica, Extra Volume ISMP. Documenta Mathematica Series. 6: 389–400. doi:10.4171/dms/6/38.Richard Borcherds (868 words) [view diff] exact match in snippet view article find links to article
required) Goddard, Peter (1998). "The work of Richard Ewen Borcherds". Documenta Mathematica: 99–108. arXiv:math/9808136. Bibcode:1998math......8136G. ISSN 1431-0635Joseph Dauben (799 words) [view diff] exact match in snippet view article find links to article
Congress of Mathematicians, Berlin 1998, Extra Volume ICM 1998. Documenta Mathematica, Machoover, Moshé (1996) "Review: Joseph Warren Dauben, AbrahamMatthew Foreman (1,057 words) [view diff] exact match in snippet view article find links to article
(1998). "Generic large cardinals: New axioms for mathematics?". Documenta Mathematica (Bielefeld), Extra Volume ICM Berlin. Vol. II. pp. 11–21. "2023Consani–Scholten quintic (439 words) [view diff] exact match in snippet view article find links to article
Matthias (2012), "Modularity of the Consani–Scholten quintic" (PDF), Documenta Mathematica, 17: 953–987, MR 3007681 Yui, Noriko (2013), "Modularity of Calabi–YauJeremy Rickard (294 words) [view diff] exact match in snippet view article find links to article
International Congress of Mathematicians, Vol. II (Berlin, 1998). Documenta Mathematica (Extra Vol. II): 121–128. MR 1648062. Jeremy Rickard at the MathematicsMike Develin (454 words) [view diff] exact match in snippet view article find links to article
Develin, Mike; Sturmfels, Bernd (2004). "Tropical Convexity". Documenta Mathematica. 9: 1–27. arXiv:math/0308254. doi:10.4171/dm/154. S2CID 64471. "CitationsMiklós Ajtai (632 words) [view diff] exact match in snippet view article find links to article
"Worst-case complexity, average-case complexity and lattice problems". Documenta Mathematica: 421–428. AAAS Members Elected as Fellows, AAAS, 29 November 2012Sofya Yanovskaya (593 words) [view diff] exact match in snippet view article find links to article
Archive, University of St Andrews "Extra Vol. ICM III (1998)". Documenta Mathematica: 799–809. J.W. Dauben, Marx, Mao and mathematics: the politics ofAnabelian geometry (1,310 words) [view diff] exact match in snippet view article find links to article
(2003). "The absolute anabelian geometry of canonical curves" (PDF). Documenta Mathematica. Extra Vol., Kazuya Kato's fiftieth birthday: 609–640. MR 2046610Václav Chvátal (1,541 words) [view diff] exact match in snippet view article find links to article
William (1998), "On the Solution of Traveling Salesman Problems", Documenta Mathematica, Extra Volume ICM III, archived from the original on 2020-07-27Shinichi Mochizuki (1,272 words) [view diff] exact match in snippet view article find links to article
International Congress of Mathematicians, Vol. II (Berlin, 1998)", Documenta Mathematica: 187–196, ISSN 1431-0635, MR 1648069 Mochizuki, Shinichi (1999)Yuval Flicker (606 words) [view diff] exact match in snippet view article find links to article
Series and the Trace Formula for GL(2) over a Function Field" (PDF). Documenta Mathematica. Birkhäuser Basel, ISBN 978-3-319-31593-5. Springer-Verlag New YorkGeorgy Voronoy (886 words) [view diff] exact match in snippet view article find links to article
triangulations: ubiquitous Siamese twins". Optimization Stories. Documenta Mathematica Series. Vol. ISMP. pp. 419–431. doi:10.4171/DMS/6/40. ISBN 978-3-936609-58-5Lauren Williams (mathematician) (698 words) [view diff] exact match in snippet view article
Williams, Lauren (2008), "Faces of generalized permutohedra" (PDF), Documenta Mathematica, 13: 207–273, arXiv:math/0609184, Bibcode:2006math......9184P, doi:10Ivan Fesenko (1,174 words) [view diff] exact match in snippet view article find links to article
ISSN 1464-8997. Fesenko, I. (2003). "Analysis on arithmetic schemes. I". Documenta Mathematica: 261–284. ISBN 978-3-936609-21-9. Fesenko, I. (2008). "Adelic studyLafforgue's theorem (734 words) [view diff] exact match in snippet view article find links to article
Drinfeld et applications" [Drinfelʹd shtukas and applications], Documenta Mathematica (in French), II: 563–570, ISSN 1431-0635, MR 1648105, archived fromIwasawa algebra (1,182 words) [view diff] exact match in snippet view article find links to article
(2006), "Ring-theoretic properties of Iwasawa algebras: a survey", Documenta Mathematica: 7–33, arXiv:math/0511345, Bibcode:2005math.....11345A, ISSN 1431-0635Essential dimension (920 words) [view diff] exact match in snippet view article find links to article
Berhuy, G.; Favi, G. (2003). "Essential Dimension: a Functorial Point of View (after A. Merkurjev)". Documenta Mathematica. 8: 279–330 (electronic).Mathematical optimization (6,165 words) [view diff] exact match in snippet view article find links to article
linear and mixed-integer programming computation" (PDF). Documenta Mathematica. Documenta Mathematica Series. 2012: 107–121. doi:10.4171/dms/6/16. ISBN 978-3-936609-58-5Robert R. Jensen (690 words) [view diff] case mismatch in snippet view article find links to article
"Viscosity Solutions of Elliptic Partial Differential Equations". DOCUMENTA MATHEMATICA, Extra Volume ICM III. pp. 31–38. "Robert Jensen, Publications"Robert R. Jensen (690 words) [view diff] case mismatch in snippet view article find links to article
"Viscosity Solutions of Elliptic Partial Differential Equations". DOCUMENTA MATHEMATICA, Extra Volume ICM III. pp. 31–38. "Robert Jensen, Publications"Virtually fibered conjecture (663 words) [view diff] exact match in snippet view article find links to article
hierarchy (PDF). Agol, Ian (2013). "The virtual Haken conjecture". Documenta Mathematica. 18. With an appendix by Ian Agol, Daniel Groves and Jason Manning:List of probabilistic proofs of non-probabilistic theorems (1,848 words) [view diff] case mismatch in snippet view article find links to article
innovation", Proceedings of the international congress of mathematicians, Documenta mathematica, vol. Extra Volume ICM 1998, III, Berlin: der Deutschen Mathematiker-VereinigungPhylogenetic tree (3,079 words) [view diff] exact match in snippet view article find links to article
Moulton. 2001. Metric Spaces in Pure and Applied Mathematics. Documenta Mathematica LSU 2001: 121–139 "Tree Formats". Evolution and Genomics. RetrievedArithmetic hyperbolic 3-manifold (1,719 words) [view diff] exact match in snippet view article find links to article
S2CID 123298695. Agol, Ian (2013). "The virtual Haken conjecture". Documenta Mathematica. 18. With an appendix by Ian Agol, Daniel Groves, and Jason Manning:United States Navy Special Projects Office (1,409 words) [view diff] exact match in snippet view article find links to article
in: Möhring, Rolf H. "D. Ray Fulkerson and Project Scheduling." Documenta Mathematica Extra Volume ISMP (2012) 211–219. Desmond L. Cook (1966), ProgramOccurrences of Grandi's series (1,729 words) [view diff] exact match in snippet view article find links to article
Leinster, Tom (2008). "The Euler characteristic of a category". Documenta Mathematica. 13: 21–49. arXiv:math/0610260. Bibcode:2006math.....10260L. doi:10Willard Fazar (1,300 words) [view diff] exact match in snippet view article find links to article
in: Möhring, Rolf H. "D. Ray Fulkerson and Project Scheduling." Documenta Mathematica · Extra Volume ISMP (2012) 211–219 Missiles and Rockets. Vol. 8List of unsolved problems in mathematics (20,372 words) [view diff] exact match in snippet view article find links to article
Günter M. (2012). "Who solved the Hirsch conjecture?". Documenta Mathematica. Documenta Mathematica Series. 6 (Extra Volume "Optimization Stories"): 75–85Euler characteristic (3,405 words) [view diff] exact match in snippet view article find links to article
Leinster, Tom (2008). "The Euler characteristic of a category" (PDF). Documenta Mathematica. 13: 21–49. doi:10.4171/dm/240. S2CID 1046313. Archived from theSimple polygon (3,206 words) [view diff] exact match in snippet view article find links to article
International Congress of Mathematicians, Vol. III (Berlin, 1998). Documenta Mathematica. pp. 533–542. MR 1648186. Quintas, L. V.; Supnick, Fred (1965).Sphere packing (3,546 words) [view diff] exact match in snippet view article find links to article
MathWorld. Sloane, N. J. A. (1998). "The Sphere-Packing Problem". Documenta Mathematica. 3: 387–396. arXiv:math/0207256. Viazovska, Maryna (1 January 2017)Compact object (mathematics) (1,725 words) [view diff] exact match in snippet view article
Neeman, Amnon. "On the derived category of sheaves on a manifold". Documenta Mathematica. 6: 483–488. Hall, Jack; Neeman, Amnon; Rydh, David (2015-12-03)Convex drawing (654 words) [view diff] exact match in snippet view article find links to article
Rote, Günter (2006), "Strictly convex drawings of planar graphs", Documenta Mathematica, 11: 369–391, arXiv:cs/0507030, doi:10.4171/dm/214, MR 2262937,A¹ homotopy theory (2,762 words) [view diff] exact match in snippet view article find links to article
May 2008 Voevodsky, Vladimir (1998), "A1-homotopy theory" (PDF), Documenta Mathematica, Proceedings of the International Congress of Mathematicians, VolAmpersand curve (421 words) [view diff] exact match in snippet view article find links to article
Kohn, Kathlén, et al. "Adjoints and canonical forms of polypols." Documenta Mathematica 30.2 (2025): 275-346. Julius Plücker, Theorie der algebraischenDijkstra's algorithm (5,638 words) [view diff] exact match in snippet view article find links to article
history of the shortest path problem" (PDF). Optimization Stories. Documenta Mathematica Series. Vol. 6. pp. 155–167. doi:10.4171/dms/6/19. ISBN 978-3-936609-58-5Gaussian elimination (4,367 words) [view diff] case mismatch in snippet view article find links to article
variables of a system of linear inequalities, rather than equations. "DOCUMENTA MATHEMATICA, Vol. Extra Volume: Optimization Stories (2012), 9-14". www.emisGradient descent (5,600 words) [view diff] exact match in snippet view article find links to article
gradient method" (PDF). In Grötschel, M. (ed.). Optimization Stories. Documenta Mathematica Series. Vol. 6 (1st ed.). EMS Press. pp. 251–254. doi:10.4171/dms/6/27Ronald Graham (4,564 words) [view diff] exact match in snippet view article find links to article
Ronald Graham: laying the foundations of online optimization. Documenta Mathematica. pp. 239–245. MR 2991486. Garey, M. R.; Johnson, D. S. (1981). "ApproximationExceptional object (3,088 words) [view diff] exact match in snippet view article find links to article
2017-08-07. Borcherds, Richard E. (1998). "What is Moonshine?". Documenta Mathematica. ICM 1: 607–615. arXiv:math/9809110. Bibcode:1998math......9110BChristopher Deninger (3,515 words) [view diff] exact match in snippet view article find links to article
International Congress of Mathematicians, Vol. I (Berlin, 1998), Documenta Mathematica (Extra Vol. I), pp. 163–186, MR 1648030 Deninger, Christopher (2002)Automatic differentiation (6,148 words) [view diff] exact match in snippet view article find links to article
reverse mode of differentiation?" (PDF). Optimization Stories. Documenta Mathematica Series. Vol. 6. pp. 389–400. doi:10.4171/dms/6/38. ISBN 978-3-936609-58-5Backpropagation (7,840 words) [view diff] exact match in snippet view article find links to article
Invented the Reverse Mode of Differentiation?". Optimization Stories. Documenta Mathematica, Extra Volume ISMP. pp. 389–400. S2CID 15568746. Griewank, Andreas;P versus NP problem (7,797 words) [view diff] exact match in snippet view article find links to article
1954–2012". In Grötschel, M. (ed.). Optimization Stories (PDF). Documenta Mathematica. pp. 359–376. ISBN 978-3-936609-58-5. ISSN 1431-0643. Knuth, DonaldCongruence subgroup (4,782 words) [view diff] exact match in snippet view article find links to article
Theorem 7.2. Agol, Ian (2013). "The Virtual Haken Conjecture". Documenta Mathematica. 18: 1045–1087. doi:10.4171/dm/421. S2CID 255586740. Kazhdan, DavidRiemannian manifold (8,692 words) [view diff] exact match in snippet view article find links to article
geodesic distance on spaces of submanifolds and diffeomorphisms". Documenta Mathematica. 10: 217–245. arXiv:math/0409303. doi:10.4171/dm/187. S2CID 69260One-way quantum computer (6,454 words) [view diff] exact match in snippet view article find links to article
as of July 2025 (link) P. Shor (1998). Quantum Computing (PDF). Documenta Mathematica. p. 468. G.K. Brennen; C.M. Caves; P.S. Jessen; I.H. Deutsch (1999)Moshe Jarden (3,110 words) [view diff] exact match in snippet view article find links to article
Jarden and F. Pop, Function fields of one Variable over PAC Fields, Documenta Mathematica 14 (2009) 517–523. M. Jarden, Diamonds in torsion of Abelian varietiesRiemann hypothesis (16,783 words) [view diff] exact match in snippet view article find links to article
International Congress of Mathematicians, Vol. I (Berlin, 1998), Documenta Mathematica, pp. 163–186, MR 1648030 Dudek, Adrian W. (2014-08-21), "On theHomotopy groups of spheres (8,126 words) [view diff] exact match in snippet view article find links to article
of the International Congress of Mathematicians (Berlin, 1998), Documenta Mathematica, Extra Volume, vol. II, pp. 465–472, MR 1648096 Mahowald, Mark (2001)Multiple zeta function (6,076 words) [view diff] exact match in snippet view article find links to article
relations of multiple polylogarithm values at roots of unity". Documenta Mathematica. 15: 1–34. arXiv:0707.1459. doi:10.4171/dm/291. Zhao, Jianqiang