Edit Profile (opens in new tab) Kirwan, Frances Clare Co-Author Distance Author ID: kirwan.frances-clare Published as: Kirwan, Frances; Kirwan, Frances C.; Kirwan, Frances Clare; Kirwan, F. C.; Kirwan, F. more...less External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr Documents Indexed: 70 Publications since 1982, including 6 Books and 4 Additional arXiv Preprints 1 Contribution as Editor Reviewing Activity: 67 Reviews Biographic References: 1 Publication Co-Authors: 33 Co-Authors with 44 Joint Publications 691 Co-Co-Authors all top 5 Co-Authors 27 single-authored 12 Jeffrey, Lisa Claire 11 Bérczi, Gergely 9 Dancer, Andrew S. 7 Doran, Brent 4 Kiem, Young-Hoon 4 Swann, Andrew F. 4 Woolf, Jonathan M. 3 Earl, Richard 3 Hawes, Thomas 2 Hanany, Amihay 2 Hoskins, Victoria 2 Lee, Ronnie 1 Asok, Aravind 1 Bourget, Antoine 1 Donaldson, Simon Kirwan 1 Fisher, Jonathan M. 1 Fogarty, John C. 1 Grimminger, Julius F. 1 Hitchin, Nigel 1 Jackson, Joshua 1 Kronheimer, Peter Benedict 1 Lawrence-Naimar, Ruth 1 Lusztig, George 1 Martens, Johan 1 Mumford, David Bryant 1 Paycha, Sylvie 1 Penington, Geoffrey R. 1 Röser, Markus 1 Schroers, Bernd J. 1 Tsun, Tsou Sheung 1 Weintraub, Steven Howard 1 Witten, Edward 1 Zhong, Zhenghao all top 5 Serials 5 Inventiones Mathematicae 4 Proceedings of the London Mathematical Society. Third Series 3 Topology 3 Transformation Groups 2 Journal of the American Mathematical Society 2 Annals of Mathematics. Second Series 2 The Quarterly Journal of Mathematics 1 Communications in Mathematical Physics 1 Arkiv för Matematik 1 Bulletin of the London Mathematical Society 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Journal of Differential Geometry 1 Journal of the London Mathematical Society. Second Series 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Physica D 1 Journal of the Ramanujan Mathematical Society 1 Differential Geometry and its Applications 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Notices of the American Mathematical Society 1 Communications in Analysis and Geometry 1 Electronic Research Announcements of the American Mathematical Society 1 Advances in Theoretical and Mathematical Physics 1 Journal of High Energy Physics 1 Pure and Applied Mathematics Quarterly 1 Ergebnisse der Mathematik und ihrer Grenzgebiete 1 London Mathematical Society Student Texts 1 Mathematical Notes (Princeton) 1 Pitman Research Notes in Mathematics Series 1 Journal of Topology 1 Forum of Mathematics, Sigma 1 European Journal of Mathematics all top 5 Fields 48 Algebraic geometry (14-XX) 20 Differential geometry (53-XX) 11 Several complex variables and analytic spaces (32-XX) 11 Algebraic topology (55-XX) 11 Manifolds and cell complexes (57-XX) 10 Dynamical systems and ergodic theory (37-XX) 6 Commutative algebra (13-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 History and biography (01-XX) 3 Group theory and generalizations (20-XX) 3 Functions of a complex variable (30-XX) 2 Associative rings and algebras (16-XX) 2 Nonassociative rings and algebras (17-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 56 Publications have been cited 1,960 times in 1,544 Documents Cited by ▼ Year ▼ Geometric invariant theory. 3rd enl. ed. Zbl 0797.14004 Mumford, D.; Fogarty, J.; Kirwan, F. 807 1994 Cohomology of quotients in symplectic and algebraic geometry. Zbl 0553.14020 Kirwan, Frances Clare 307 1984 Localization for nonabelian group actions. Zbl 0833.55009 Jeffrey, Lisa C.; Kirwan, Frances C. 137 1995 Convexity properties of the moment mapping. III. Zbl 0561.58016 Kirwan, Frances 106 1984 Partial desingularisations of quotients of nonsingular varieties and their Betti numbers. Zbl 0592.14011 Kirwan, Frances Clare 82 1985 Complex algebraic curves. Zbl 0744.14018 Kirwan, Frances 65 1992 An introduction to intersection homology theory. 2nd ed. Zbl 1106.55001 Kirwan, Frances; Woolf, Jonathan 53 2006 Intersection theory on moduli spaces of holomorphic bundles of arbitrary rank on a Riemann surface. Zbl 0949.14021 Jeffrey, Lisa C.; Kirwan, Frances C. 34 1998 On spaces of maps from Riemann surfaces to Grassmannians and applications to the cohomology of moduli of vector bundles. Zbl 0625.14026 Kirwan, Frances 27 1986 The cohomology rings of moduli spaces of bundles over Riemann surfaces. Zbl 0804.14010 Kirwan, Frances 26 1992 On the homology of compactifications of moduli spaces of vector bundles over a Riemann surface. Zbl 0607.14017 Kirwan, Frances 25 1986 Rational intersection cohomology of quotient varieties. Zbl 0613.14016 Kirwan, Frances 19 1986 Localization and the quantization conjecture. Zbl 0876.55007 Jeffrey, Lisa C.; Kirwan, Frances C. 19 1997 Towards non-reductive geometric invariant theory. Zbl 1143.14039 Doran, Brent; Kirwan, Frances 18 2007 Quotients of the complex ball by discrete groups. Zbl 0597.57023 Kirwan, F. C.; Lee, R.; Weintraub, S. H. 16 1987 An introduction to intersection homology theory. Zbl 0656.55002 Kirwan, Frances 15 1988 The topology of reduced phase spaces of the motion of vortices on a sphere. Zbl 0653.58009 Kirwan, Frances 12 1988 Implosion for hyperkähler manifolds. Zbl 1286.53056 Dancer, Andrew; Kirwan, Frances; Swann, Andrew 12 2013 Geometric invariant theory for graded unipotent groups and applications. Zbl 1420.14106 Bérczi, Gergely; Doran, Brent; Hawes, Thomas; Kirwan, Frances 12 2018 Intersection homology and torus actions. Zbl 0645.14021 Kirwan, Frances 11 1988 The cohomology of moduli spaces of K3 surfaces of degree 2. I. II. Zbl 0671.14018 Kirwan, Frances; Lee, Ronnie 11 1989 The Hodge numbers of the moduli spaces of vector bundles over a Riemann surface. Zbl 0971.14011 Earl, Richard; Kirwan, Frances 11 2000 Momentum maps and reduction in algebraic geometry. Zbl 0955.37031 Kirwan, Frances 10 1998 Orthosymplectic implosions. Zbl 1469.81027 Bourget, Antoine; Dancer, Andrew; Grimminger, Julius F.; Hanany, Amihay; Kirwan, Frances; Zhong, Zhenghao 8 2021 Moduli spaces of degree d hypersurfaces in \({\mathbb{P}}_ n\). Zbl 0676.14003 Kirwan, Frances 7 1989 Cohomology pairings on singular quotients in geometric invariant theory. Zbl 1080.14537 Jeffrey, Lisa C.; Kiem, Young-Hoon; Kirwan, Frances; Woolf, Jonathan 7 2003 Complete sets of relations in the cohomology rings of moduli spaces of holomorphic bundles and parabolic bundles over a Riemann surface. Zbl 1079.14043 Earl, Richard; Kirwan, Frances 7 2004 Constructing quotients of algebraic varieties by linear algebraic group actions. Zbl 1422.14050 Bérczi, Gergely; Hawes, Thomas; Kirwan, Frances; Doran, Brent 7 2018 Rational intersection cohomology of quotient varieties. II. Zbl 0631.14012 Kirwan, Frances 6 1987 Symplectic implosion and nonreductive quotients. Zbl 1256.14048 Kirwan, Frances 5 2011 Quotients by non-reductive algebraic group actions. Zbl 1187.14053 Kirwan, Frances 5 2009 Symplectic duality and implosions. Zbl 1500.53086 Dancer, Andrew; Hanany, Amihay; Kirwan, Frances 5 2021 Implosions and hypertoric geometry. Zbl 1300.53049 Dancer, Andrew; Kirwan, Frances; Swann, Andrew 5 2013 Refinements of the Morse stratification of the normsquare of the moment map. Zbl 1073.32015 Kirwan, Frances 4 2005 Twistor spaces for hyperkähler implosions. Zbl 1296.32004 Dancer, Andrew; Kirwan, Frances; Swann, Andrew 4 2014 Hyperkähler implosion and Nahm’s equations. Zbl 1339.53050 Dancer, Andrew; Kirwan, Frances; Röser, Markus 4 2016 Yang-Mills theory and Tamagawa numbers: The fascination of unexpected links in mathematics. Zbl 1166.14024 Asok, Aravind; Doran, Brent; Kirwan, Frances 4 2008 Quotients of unstable subvarieties and moduli spaces of sheaves of fixed Harder-Narasimhan type. Zbl 1263.14048 Hoskins, Victoria; Kirwan, Frances 4 2012 Variation of non-reductive geometric invariant theory. Zbl 1423.14261 Bérczi, Gergely; Jackson, Joshua; Kirwan, Frances 4 2018 Morse functions for which the stationary phase approximation is exact. Zbl 0627.58007 Kirwan, Frances 3 1987 The Pontryagin rings of moduli spaces of arbitrary rank holomorphic bundles over a Riemann surface. Zbl 0965.14011 Earl, Richard; Kirwan, Frances 3 1999 On localization and Riemann-Roch numbers for symplectic quotients. Zbl 0870.53022 Jeffrey, Lisa C.; Kirwan, Frances C. 3 1996 Graded unipotent groups and Grosshans theory. Zbl 1396.14039 Bérczi, Gergely; Kirwan, Frances 3 2017 Moduli spaces of bundles over Riemann surfaces and the Yang-Mills stratification revisited. Zbl 1156.14305 Kirwan, Frances 3 2005 Corrigendum: On the homology of compactifications of moduli spaces of vector bundles over a Riemann surface. Zbl 0778.14012 Kirwan, Frances 3 1992 Symplectic and hyperkähler implosion. Zbl 1368.53039 Dancer, Andrew; Doran, Brent; Kirwan, Frances; Swann, Andrew 3 2016 Cohomology of moduli spaces. Zbl 1049.14017 Kirwan, Frances 3 2002 Some examples of minimally degenerate Morse functions. Zbl 0627.58014 Kirwan, Frances 2 1987 Intersection pairings in moduli spaces of holomorphic bundles on a Riemann surface. Zbl 0849.58033 Jeffrey, Lisa C.; Kirwan, Frances C. 2 1995 On the cohomology of hyperkähler quotients. Zbl 1186.53061 Jeffrey, Lisa; Kiem, Young-Hoon; Kirwan, Frances 2 2009 Intersection pairings on singular moduli spaces of bundles over a Riemann surface and their partial desingularisations. Zbl 1113.14027 Jeffrey, Lisa; Kiem, Young-Hoon; Kirwan, Frances C.; Woolf, Jonathan 2 2006 A geometric construction for invariant jet differentials. Zbl 1331.58007 Berczi, Gergely; Kirwan, Frances 2 2012 A multiplicative analogue of complex symplectic implosion. Zbl 1333.53061 Dancer, Andrew; Kirwan, Frances 2 2015 Sur la cohomologie des espaces quotients. Zbl 0537.14030 Kirwan, Frances 1 1982 Memories of Sir Michael Atiyah. Zbl 1431.01042 Lusztig, George; Hitchin, Nigel; Witten, Edward; Donaldson, Simon; Kirwan, Frances; Kronheimer, Peter; Lawrence-Naimar, Ruth; Jeffrey, Lisa; Schroers, Bernd 1 2019 Morse theory without non-degeneracy. Zbl 1479.58010 Kirwan, Frances; Penington, Geoffrey 1 2021 Orthosymplectic implosions. Zbl 1469.81027 Bourget, Antoine; Dancer, Andrew; Grimminger, Julius F.; Hanany, Amihay; Kirwan, Frances; Zhong, Zhenghao 8 2021 Symplectic duality and implosions. Zbl 1500.53086 Dancer, Andrew; Hanany, Amihay; Kirwan, Frances 5 2021 Morse theory without non-degeneracy. Zbl 1479.58010 Kirwan, Frances; Penington, Geoffrey 1 2021 Memories of Sir Michael Atiyah. Zbl 1431.01042 Lusztig, George; Hitchin, Nigel; Witten, Edward; Donaldson, Simon; Kirwan, Frances; Kronheimer, Peter; Lawrence-Naimar, Ruth; Jeffrey, Lisa; Schroers, Bernd 1 2019 Geometric invariant theory for graded unipotent groups and applications. Zbl 1420.14106 Bérczi, Gergely; Doran, Brent; Hawes, Thomas; Kirwan, Frances 12 2018 Constructing quotients of algebraic varieties by linear algebraic group actions. Zbl 1422.14050 Bérczi, Gergely; Hawes, Thomas; Kirwan, Frances; Doran, Brent 7 2018 Variation of non-reductive geometric invariant theory. Zbl 1423.14261 Bérczi, Gergely; Jackson, Joshua; Kirwan, Frances 4 2018 Graded unipotent groups and Grosshans theory. Zbl 1396.14039 Bérczi, Gergely; Kirwan, Frances 3 2017 Hyperkähler implosion and Nahm’s equations. Zbl 1339.53050 Dancer, Andrew; Kirwan, Frances; Röser, Markus 4 2016 Symplectic and hyperkähler implosion. Zbl 1368.53039 Dancer, Andrew; Doran, Brent; Kirwan, Frances; Swann, Andrew 3 2016 A multiplicative analogue of complex symplectic implosion. Zbl 1333.53061 Dancer, Andrew; Kirwan, Frances 2 2015 Twistor spaces for hyperkähler implosions. Zbl 1296.32004 Dancer, Andrew; Kirwan, Frances; Swann, Andrew 4 2014 Implosion for hyperkähler manifolds. Zbl 1286.53056 Dancer, Andrew; Kirwan, Frances; Swann, Andrew 12 2013 Implosions and hypertoric geometry. Zbl 1300.53049 Dancer, Andrew; Kirwan, Frances; Swann, Andrew 5 2013 Quotients of unstable subvarieties and moduli spaces of sheaves of fixed Harder-Narasimhan type. Zbl 1263.14048 Hoskins, Victoria; Kirwan, Frances 4 2012 A geometric construction for invariant jet differentials. Zbl 1331.58007 Berczi, Gergely; Kirwan, Frances 2 2012 Symplectic implosion and nonreductive quotients. Zbl 1256.14048 Kirwan, Frances 5 2011 Quotients by non-reductive algebraic group actions. Zbl 1187.14053 Kirwan, Frances 5 2009 On the cohomology of hyperkähler quotients. Zbl 1186.53061 Jeffrey, Lisa; Kiem, Young-Hoon; Kirwan, Frances 2 2009 Yang-Mills theory and Tamagawa numbers: The fascination of unexpected links in mathematics. Zbl 1166.14024 Asok, Aravind; Doran, Brent; Kirwan, Frances 4 2008 Towards non-reductive geometric invariant theory. Zbl 1143.14039 Doran, Brent; Kirwan, Frances 18 2007 An introduction to intersection homology theory. 2nd ed. Zbl 1106.55001 Kirwan, Frances; Woolf, Jonathan 53 2006 Intersection pairings on singular moduli spaces of bundles over a Riemann surface and their partial desingularisations. Zbl 1113.14027 Jeffrey, Lisa; Kiem, Young-Hoon; Kirwan, Frances C.; Woolf, Jonathan 2 2006 Refinements of the Morse stratification of the normsquare of the moment map. Zbl 1073.32015 Kirwan, Frances 4 2005 Moduli spaces of bundles over Riemann surfaces and the Yang-Mills stratification revisited. Zbl 1156.14305 Kirwan, Frances 3 2005 Complete sets of relations in the cohomology rings of moduli spaces of holomorphic bundles and parabolic bundles over a Riemann surface. Zbl 1079.14043 Earl, Richard; Kirwan, Frances 7 2004 Cohomology pairings on singular quotients in geometric invariant theory. Zbl 1080.14537 Jeffrey, Lisa C.; Kiem, Young-Hoon; Kirwan, Frances; Woolf, Jonathan 7 2003 Cohomology of moduli spaces. Zbl 1049.14017 Kirwan, Frances 3 2002 The Hodge numbers of the moduli spaces of vector bundles over a Riemann surface. Zbl 0971.14011 Earl, Richard; Kirwan, Frances 11 2000 The Pontryagin rings of moduli spaces of arbitrary rank holomorphic bundles over a Riemann surface. Zbl 0965.14011 Earl, Richard; Kirwan, Frances 3 1999 Intersection theory on moduli spaces of holomorphic bundles of arbitrary rank on a Riemann surface. Zbl 0949.14021 Jeffrey, Lisa C.; Kirwan, Frances C. 34 1998 Momentum maps and reduction in algebraic geometry. Zbl 0955.37031 Kirwan, Frances 10 1998 Localization and the quantization conjecture. Zbl 0876.55007 Jeffrey, Lisa C.; Kirwan, Frances C. 19 1997 On localization and Riemann-Roch numbers for symplectic quotients. Zbl 0870.53022 Jeffrey, Lisa C.; Kirwan, Frances C. 3 1996 Localization for nonabelian group actions. Zbl 0833.55009 Jeffrey, Lisa C.; Kirwan, Frances C. 137 1995 Intersection pairings in moduli spaces of holomorphic bundles on a Riemann surface. Zbl 0849.58033 Jeffrey, Lisa C.; Kirwan, Frances C. 2 1995 Geometric invariant theory. 3rd enl. ed. Zbl 0797.14004 Mumford, D.; Fogarty, J.; Kirwan, F. 807 1994 Complex algebraic curves. Zbl 0744.14018 Kirwan, Frances 65 1992 The cohomology rings of moduli spaces of bundles over Riemann surfaces. Zbl 0804.14010 Kirwan, Frances 26 1992 Corrigendum: On the homology of compactifications of moduli spaces of vector bundles over a Riemann surface. Zbl 0778.14012 Kirwan, Frances 3 1992 The cohomology of moduli spaces of K3 surfaces of degree 2. I. II. Zbl 0671.14018 Kirwan, Frances; Lee, Ronnie 11 1989 Moduli spaces of degree d hypersurfaces in \({\mathbb{P}}_ n\). Zbl 0676.14003 Kirwan, Frances 7 1989 An introduction to intersection homology theory. Zbl 0656.55002 Kirwan, Frances 15 1988 The topology of reduced phase spaces of the motion of vortices on a sphere. Zbl 0653.58009 Kirwan, Frances 12 1988 Intersection homology and torus actions. Zbl 0645.14021 Kirwan, Frances 11 1988 Quotients of the complex ball by discrete groups. Zbl 0597.57023 Kirwan, F. C.; Lee, R.; Weintraub, S. H. 16 1987 Rational intersection cohomology of quotient varieties. II. Zbl 0631.14012 Kirwan, Frances 6 1987 Morse functions for which the stationary phase approximation is exact. Zbl 0627.58007 Kirwan, Frances 3 1987 Some examples of minimally degenerate Morse functions. Zbl 0627.58014 Kirwan, Frances 2 1987 On spaces of maps from Riemann surfaces to Grassmannians and applications to the cohomology of moduli of vector bundles. Zbl 0625.14026 Kirwan, Frances 27 1986 On the homology of compactifications of moduli spaces of vector bundles over a Riemann surface. Zbl 0607.14017 Kirwan, Frances 25 1986 Rational intersection cohomology of quotient varieties. Zbl 0613.14016 Kirwan, Frances 19 1986 Partial desingularisations of quotients of nonsingular varieties and their Betti numbers. Zbl 0592.14011 Kirwan, Frances Clare 82 1985 Cohomology of quotients in symplectic and algebraic geometry. Zbl 0553.14020 Kirwan, Frances Clare 307 1984 Convexity properties of the moment mapping. III. Zbl 0561.58016 Kirwan, Frances 106 1984 Sur la cohomologie des espaces quotients. Zbl 0537.14030 Kirwan, Frances 1 1982 all cited Publications top 5 cited Publications all top 5 Cited by 1,714 Authors 19 Kirwan, Frances Clare 17 Biswas, Indranil 15 Kannan, Senthamarai 14 Kiem, Young-Hoon 12 Brion, Michel 12 Jeffrey, Lisa Claire 12 Vergne, Michèle 11 Biliotti, Leonardo 11 Woodward, Christopher T. 10 Kim, Heeyeon 10 Paradan, Paul-Emile 9 Benini, Francesco 9 Hausen, Jürgen 9 Laza, Radu 9 Reichstein, Zinovy B. 8 Closset, Cyril 8 Edidin, Dan 8 Gallardo, Patricio 8 Holm, Tara S. 8 Knutson, Allen 8 Li, Jun 8 Moon, Han-Bom 8 Pattanayak, Santosha Kumar 8 Ressayre, Nicolas 8 Yoshioka, Kōta 7 Arango Florentino, Carlos Armindo 7 Friedman, Greg 7 Harada, Megumi 7 Hurtubise, Jacques C. 7 Li, Hui 7 Van den Bergh, Michel 6 Bate, Michael Edward 6 Bérczi, Gergely 6 Chung, Kiryong 6 Dancer, Andrew S. 6 Goertsches, Oliver 6 Goldin, Rebecca F. 6 Guillemin, Victor W. 6 Hanany, Amihay 6 Hulek, Klaus 6 Kim, Hee-Cheol 6 Makam, Visu 6 Mare, Augustin-Liviu 6 Martin, Benjamin M. S. 6 Pelayo, Alvaro 6 Schmitt, Alexander H. W. 6 Sjamaar, Reyer 6 Stover, Matthew 6 Szenes, András 6 Yi, Piljin 6 Zaffaroni, Alberto 5 Bei, Francesco 5 Bonahon, Francis 5 Chirvăsitu, Alexandru 5 Derksen, Harm 5 Doran, Brent 5 Favero, David 5 Ghigi, Alessandro 5 Godinho, Leonor 5 Graham, William A. 5 Joshua, Roy 5 Kumar, Shrawan 5 Lauret, Jorge 5 Lawton, Sean 5 Paoletti, Roberto 5 Reineke, Markus 5 Röhrle, Gerhard E. 5 Sabatini, Silvia 5 Satriano, Matthew 5 Sperling, Marcus 5 Székelyhidi, Gábor 5 Tolman, Susan 5 Walter, Michael 5 Wilkin, Graeme 5 Willett, Brian 5 Yoshida, Yutaka 4 Caporaso, Lucia 4 Casalaina-Martin, Sebastian 4 Cho, Yunhyung 4 Christandl, Matthias 4 Codogni, Giulio 4 Đào Phương Bắc 4 Donaldson, Simon Kirwan 4 Fedorchuk, Maksym 4 Franco, Davide 4 Franzen, Hans 4 García-Prada, Oscar 4 Gasparim, Elizabeth 4 Gau, Hwa-Long 4 Gonzalez, Eduardo 4 Greb, Daniel 4 Haghighat, Babak 4 Halle, Lars Halvard 4 Hassett, Brendan 4 Hausel, Tamás 4 Heinzner, Peter 4 Hu, Yi 4 Huckleberry, Alan Trinler 4 Hyeon, Donghoon David 4 Isaev, Alexander ...and 1,614 more Authors all top 5 Cited in 262 Serials 81 Journal of High Energy Physics 76 Advances in Mathematics 55 Transactions of the American Mathematical Society 47 Inventiones Mathematicae 43 Journal of Algebra 43 Mathematische Annalen 41 Duke Mathematical Journal 40 Transformation Groups 38 Journal of Geometry and Physics 36 Mathematische Zeitschrift 33 International Journal of Mathematics 32 Annales de l’Institut Fourier 28 Communications in Mathematical Physics 27 Journal of the American Mathematical Society 25 Geometriae Dedicata 23 Compositio Mathematica 22 Proceedings of the American Mathematical Society 22 Journal of Algebraic Geometry 21 Journal für die Reine und Angewandte Mathematik 17 Manuscripta Mathematica 16 Journal of Pure and Applied Algebra 15 Selecta Mathematica. New Series 14 Communications in Algebra 14 Linear Algebra and its Applications 13 Journal of Mathematical Physics 13 Michigan Mathematical Journal 13 Differential Geometry and its Applications 13 Journal of the Institute of Mathematics of Jussieu 12 Memoirs of the American Mathematical Society 12 Bulletin of the American Mathematical Society. New Series 12 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 12 Algebra & Number Theory 11 Geometry & Topology 11 Annals of Mathematics. Second Series 10 Annals of Global Analysis and Geometry 10 The Journal of Geometric Analysis 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Journal of Functional Analysis 9 Forum of Mathematics, Sigma 8 Journal of the Mathematical Society of Japan 8 Topology and its Applications 8 Journal of Symbolic Computation 8 Algebraic & Geometric Topology 8 Journal of Physics A: Mathematical and Theoretical 8 European Journal of Mathematics 7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 7 Journal of the London Mathematical Society. Second Series 7 Osaka Journal of Mathematics 7 Physica D 7 Indagationes Mathematicae. New Series 7 Bulletin des Sciences Mathématiques 7 Journal of the European Mathematical Society (JEMS) 7 Acta Mathematica Sinica. English Series 7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 6 Nuclear Physics. B 6 Journal of Number Theory 6 Pacific Journal of Mathematics 6 Central European Journal of Mathematics 5 Letters in Mathematical Physics 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Beiträge zur Algebra und Geometrie 5 Bulletin of the London Mathematical Society 5 Publications Mathématiques 5 Discrete & Computational Geometry 5 Expositiones Mathematicae 5 Nuclear Physics. B. Proceedings Supplements 5 Science China. Mathematics 5 Kyoto Journal of Mathematics 5 Complex Manifolds 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Nagoya Mathematical Journal 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Tôhoku Mathematical Journal. Second Series 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Journal of Algebraic Combinatorics 4 Representation Theory 4 Foundations of Computational Mathematics 4 Bulletin of the Brazilian Mathematical Society. New Series 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 4 São Paulo Journal of Mathematical Sciences 4 Arnold Mathematical Journal 3 Communications on Pure and Applied Mathematics 3 Linear and Multilinear Algebra 3 Rocky Mountain Journal of Mathematics 3 Reviews in Mathematical Physics 3 Acta Mathematica 3 Illinois Journal of Mathematics 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Rendiconti del Seminario Matematico della Università di Padova 3 Results in Mathematics 3 Ergodic Theory and Dynamical Systems 3 Chinese Annals of Mathematics. Series B 3 Forum Mathematicum 3 Geometric and Functional Analysis. GAFA 3 Annals of Physics 3 L’Enseignement Mathématique. 2e Série 3 Journal of Lie Theory 3 Discrete and Continuous Dynamical Systems ...and 162 more Serials all top 5 Cited in 55 Fields 915 Algebraic geometry (14-XX) 358 Differential geometry (53-XX) 196 Several complex variables and analytic spaces (32-XX) 187 Quantum theory (81-XX) 148 Manifolds and cell complexes (57-XX) 127 Group theory and generalizations (20-XX) 112 Global analysis, analysis on manifolds (58-XX) 106 Dynamical systems and ergodic theory (37-XX) 106 Algebraic topology (55-XX) 98 Number theory (11-XX) 98 Associative rings and algebras (16-XX) 95 Topological groups, Lie groups (22-XX) 81 Commutative algebra (13-XX) 66 Nonassociative rings and algebras (17-XX) 40 Relativity and gravitational theory (83-XX) 39 Linear and multilinear algebra; matrix theory (15-XX) 34 Combinatorics (05-XX) 31 \(K\)-theory (19-XX) 31 Convex and discrete geometry (52-XX) 29 Category theory; homological algebra (18-XX) 26 Mechanics of particles and systems (70-XX) 19 Partial differential equations (35-XX) 19 Computer science (68-XX) 18 Ordinary differential equations (34-XX) 18 Geometry (51-XX) 16 Functions of a complex variable (30-XX) 10 Fluid mechanics (76-XX) 9 Functional analysis (46-XX) 8 Field theory and polynomials (12-XX) 8 Operator theory (47-XX) 8 Statistics (62-XX) 8 Numerical analysis (65-XX) 8 Information and communication theory, circuits (94-XX) 7 Abstract harmonic analysis (43-XX) 7 General topology (54-XX) 6 History and biography (01-XX) 6 Operations research, mathematical programming (90-XX) 5 Difference and functional equations (39-XX) 5 Probability theory and stochastic processes (60-XX) 5 Biology and other natural sciences (92-XX) 4 General and overarching topics; collections (00-XX) 4 Special functions (33-XX) 3 Mathematical logic and foundations (03-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Systems theory; control (93-XX) 2 Potential theory (31-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General algebraic systems (08-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.