Inventiones Mathematicae Short Title: Invent. Math. Publisher: Springer, Berlin/Heidelberg ISSN: 0020-9910; 1432-1297/e Online: https://link.springer.com/journal/222/volumes-and-issues Comments: Journal; Indexed cover-to-cover Documents Indexed: 4,678 Publications (since 1966) References Indexed: 4,015 Publications with 100,150 References. all top 5 Latest Issues 239, No. 1 (2025) 238, No. 3 (2024) 238, No. 2 (2024) 238, No. 1 (2024) 237, No. 3 (2024) 237, No. 2 (2024) 237, No. 1 (2024) 236, No. 3 (2024) 236, No. 2 (2024) 236, No. 1 (2024) 235, No. 3 (2024) 235, No. 2 (2024) 235, No. 1 (2024) 234, No. 3 (2023) 234, No. 2 (2023) 234, No. 1 (2023) 233, No. 3 (2023) 233, No. 2 (2023) 233, No. 1 (2023) 232, No. 3 (2023) 232, No. 2 (2023) 232, No. 1 (2023) 231, No. 3 (2023) 231, No. 2 (2023) 231, No. 1 (2023) 230, No. 3 (2022) 230, No. 2 (2022) 230, No. 1 (2022) 229, No. 3 (2022) 229, No. 2 (2022) 229, No. 1 (2022) 228, No. 3 (2022) 228, No. 2 (2022) 228, No. 1 (2022) 227, No. 3 (2022) 227, No. 2 (2022) 227, No. 1 (2022) 226, No. 3 (2021) 226, No. 2 (2021) 226, No. 1 (2021) 225, No. 3 (2021) 225, No. 2 (2021) 225, No. 1 (2021) 224, No. 3 (2021) 224, No. 2 (2021) 224, No. 1 (2021) 223, No. 3 (2021) 223, No. 2 (2021) 223, No. 1 (2021) 222, No. 3 (2020) 222, No. 2 (2020) 222, No. 1 (2020) 221, No. 3 (2020) 221, No. 2 (2020) 221, No. 1 (2020) 220, No. 3 (2020) 220, No. 2 (2020) 220, No. 1 (2020) 219, No. 3 (2020) 219, No. 2 (2020) 219, No. 1 (2020) 218, No. 3 (2019) 218, No. 2 (2019) 218, No. 1 (2019) 217, No. 3 (2019) 217, No. 2 (2019) 217, No. 1 (2019) 216, No. 3 (2019) 216, No. 2 (2019) 216, No. 1 (2019) 215, No. 3 (2019) 215, No. 2 (2019) 215, No. 1 (2019) 214, No. 3 (2018) 214, No. 2 (2018) 214, No. 1 (2018) 213, No. 3 (2018) 213, No. 2 (2018) 213, No. 1 (2018) 212, No. 3 (2018) 212, No. 2 (2018) 212, No. 1 (2018) 211, No. 3 (2018) 211, No. 2 (2018) 211, No. 1 (2018) 210, No. 3 (2017) 210, No. 2 (2017) 210, No. 1 (2017) 209, No. 3 (2017) 209, No. 2 (2017) 209, No. 1 (2017) 208, No. 3 (2017) 208, No. 2 (2017) 208, No. 1 (2017) 207, No. 3 (2017) 207, No. 2 (2017) 207, No. 1 (2017) 206, No. 3 (2016) 206, No. 2 (2016) 206, No. 1 (2016) ...and 438 more Volumes all top 5 Authors 15 Kashiwara, Masaki 14 Deligne, Pierre 14 Iwaniec, Henryk 13 Eisenbud, David 13 Harris, Joseph Daniel 12 Meeks, William Hamilton III 11 Bombieri, Enrico 11 Bourgain, Jean 11 Duke, William Drexel 11 Gross, Benedict Hyman 11 Lazarsfeld, Robert Kendall 11 Mazur, Barry 11 Rubin, Karl Cooper 11 Siu, Yum-Tong 11 Tian, Gang 11 Yau, Shing-Tung 10 Brendle, Simon 10 Friedlander, Eric Mark 10 Friedlander, John Benjamin 10 Lusztig, George 10 McMullen, Curtis Tracy 10 Popa, Sorin Teodor 10 Stein, Elias Menachem 10 Zagier, Don 9 Esnault, Hélène 9 Freedman, Michael Hartley 9 Gaffney, Terence 9 Greenberg, Ralph 9 Hsiang, Wu-Chung 9 Margulis, Grigoriĭ Aleksandrovich 9 Sarnak, Peter Clive 9 Schmid, Wilfried 9 Schoen, Richard Melvin 9 Tate, John Torrence jun. 9 Tits, Jacques 9 Viehweg, Eckart 9 Zucker, Steven Mark 8 Artin, Michael 8 Avila, Artur 8 Bestvina, Mladen 8 Coleman, Robert Frederick 8 Ein, Lawrence Man Hon 8 Harris, Michael Howard 8 Heath-Brown, Roger 8 Hida, Haruzo 8 Kenig, Carlos Eduardo 8 Lawson, Herbert Blaine jun. 8 Masser, David William 8 McDuff, Dusa 8 Ran, Ziv 8 Rodnianski, Igor 8 Wall, Charles Terence Clegg 7 Coates, John Henry 7 Demazure, Michel 7 Duistermaat, Johannes Jisse 7 Harder, Günter 7 Heckman, Gert 7 Hoffstein, Jeffrey 7 Hsiang, Wu-Yi 7 Hwang, Jun-Muk 7 Kawamata, Yujiro 7 Khare, Chandrashekhar 7 Kleiner, Bruce 7 Kudla, Stephen S. 7 Kuiper, Nicolaas Hendrik 7 Mok, Ngaiming 7 Neeman, Amnon 7 Pandharipande, Rahul 7 Pollicott, Mark 7 Prasad, Gopal 7 Raynaud, Michel 7 Schmidt, Klaus 7 Shalen, Peter B. 7 Silverman, Joseph Hillel 7 Springer, Tonny Albert 7 Van den Bergh, Michel 7 Wüstholz, Gisbert 6 Aschbacher, Michael George 6 Bedford, Eric 6 Benoist, Yves 6 Browder, William 6 Catanese, Fabrizio M. E. 6 Colliot-Thélène, Jean-Louis 6 Colmez, Pierre 6 Faltings, Gerd 6 Farrell, F. Thomas 6 Figalli, Alessio 6 Gan, Wee Teck 6 Goresky, Robert Mark 6 Grove, Karsten 6 Guillemin, Victor W. 6 Hansen, Wolfhard 6 Huisken, Gerhard 6 Katz, Nicholas Michael 6 Kazhdan, David 6 Kumar, Shrawan 6 Labourie, François 6 Larsen, Michael Jeffrey 6 Li, Peter 6 Looijenga, Eduard J. N. ...and 4,250 more Authors all top 5 Fields 1,318 Algebraic geometry (14-XX) 875 Number theory (11-XX) 588 Differential geometry (53-XX) 553 Several complex variables and analytic spaces (32-XX) 550 Manifolds and cell complexes (57-XX) 497 Group theory and generalizations (20-XX) 411 Dynamical systems and ergodic theory (37-XX) 363 Topological groups, Lie groups (22-XX) 325 Partial differential equations (35-XX) 316 Global analysis, analysis on manifolds (58-XX) 193 Algebraic topology (55-XX) 181 Nonassociative rings and algebras (17-XX) 161 Commutative algebra (13-XX) 155 Functions of a complex variable (30-XX) 147 Functional analysis (46-XX) 124 Associative rings and algebras (16-XX) 120 Category theory; homological algebra (18-XX) 113 Probability theory and stochastic processes (60-XX) 104 Combinatorics (05-XX) 99 Measure and integration (28-XX) 87 \(K\)-theory (19-XX) 83 Operator theory (47-XX) 79 Quantum theory (81-XX) 74 Abstract harmonic analysis (43-XX) 67 Field theory and polynomials (12-XX) 67 Convex and discrete geometry (52-XX) 56 Statistical mechanics, structure of matter (82-XX) 49 Calculus of variations and optimal control; optimization (49-XX) 48 Geometry (51-XX) 47 Fluid mechanics (76-XX) 38 Linear and multilinear algebra; matrix theory (15-XX) 37 Mechanics of particles and systems (70-XX) 36 Potential theory (31-XX) 36 Special functions (33-XX) 34 Harmonic analysis on Euclidean spaces (42-XX) 33 Ordinary differential equations (34-XX) 27 Mathematical logic and foundations (03-XX) 23 General topology (54-XX) 23 Relativity and gravitational theory (83-XX) 22 Real functions (26-XX) 14 Information and communication theory, circuits (94-XX) 11 Difference and functional equations (39-XX) 9 Computer science (68-XX) 7 Integral transforms, operational calculus (44-XX) 6 Approximations and expansions (41-XX) 6 Numerical analysis (65-XX) 4 General and overarching topics; collections (00-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Mechanics of deformable solids (74-XX) 3 Integral equations (45-XX) 3 Operations research, mathematical programming (90-XX) 3 Systems theory; control (93-XX) 2 Statistics (62-XX) 2 Optics, electromagnetic theory (78-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Sequences, series, summability (40-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 4,537 Publications have been cited 178,674 times in 108,905 Documents Cited by ▼ Year ▼ Ordinary differential equations, transport theory and Sobolev spaces. Zbl 0696.34049 DiPerna, R. J.; Lions, P. L. 1,035 1989 Pseudo holomorphic curves in symplectic manifolds. Zbl 0592.53025 Gromov, M. 847 1985 Representations of Coxeter groups and Hecke algebras. Zbl 0499.20035 Kazhdan, David; Lusztig, George 846 1979 Index for subfactors. Zbl 0508.46040 Jones, V. F. R. 640 1983 Galois properties of points of finite order of elliptic curves. (Propriétés galoisiennes des points d’ordre fini des courbes elliptiques.) Zbl 0235.14012 Serre, Jean-Pierre 606 1972 Invariants of 3-manifolds via link polynomials and quantum groups. Zbl 0725.57007 Reshetikhin, N.; Turaev, V. G. 605 1991 Finiteness theorems for abelian varieties over number fields. (Endlichkeitssätze für abelsche Varietäten über Zahlkörpern.) Zbl 0588.14026 Faltings, G. 531 1983 The trajectories of particles in Stokes waves. Zbl 1108.76013 Constantin, Adrian 516 2006 A theory of regularity structures. Zbl 1332.60093 Hairer, M. 472 2014 Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrödinger equation in the radial case. Zbl 1115.35125 Kenig, Carlos E.; Merle, Frank 446 2006 Cluster algebras. II: Finite type classification. Zbl 1054.17024 Fomin, Sergey; Zelevinsky, Andrei 440 2003 Critères de platitude et de projectivité. Techniques de ”platification” d’un module. (Criterial of flatness and projectivity. Technics of ”flatification of a module.). Zbl 0227.14010 Raynaud, Michel; Gruson, Laurent 419 1971 Cellular algebras. Zbl 0853.20029 Graham, J. J.; Lehrer, G. I. 414 1996 Geometry of the complex of curves. I: Hyperbolicity. Zbl 0941.32012 Masur, Howard A.; Minsky, Yair N. 401 1999 Real homotopy theory of Kähler manifolds. Zbl 0312.55011 Deligne, Pierre; Griffiths, Phillip; Morgan, John; Sullivan, Dennis 401 1975 Heegner points and derivatives of \(L\)-series. Zbl 0608.14019 Gross, Benedict H.; Zagier, Don B. 400 1986 The spectrum of positive elliptic operators and periodic bicharacteristics. Zbl 0307.35071 Duistermaat, J. J.; Guillemin, V. W. 387 1975 Transport equation and Cauchy problem for BV vector fields. Zbl 1075.35087 Ambrosio, Luigi 380 2004 Kähler-Einstein metrics with positive scalar curvature. Zbl 0892.53027 Tian, Gang 373 1997 The ergodic theory of axiom A flows. Zbl 0311.58010 Bowen, Rufus; Ruelle, David 373 1975 Rational isogenies of prime degree. (With an appendix by D. Goldfeld). Zbl 0386.14009 Mazur, B. 360 1978 Equivariant KK-theory and the Novikov conjecture. Zbl 0647.46053 Kasparov, G. G. 358 1988 A class of C*-algebras and topological Markov chains. Zbl 0434.46045 Cuntz, Joachim; Krieger, Wolfgang 356 1980 On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations. Zbl 0393.35058 Adler, M. 352 1979 On the maximal subgroups of the finite classical groups. Zbl 0537.20023 Aschbacher, M. 340 1984 Covering spaces in representation-theory. Zbl 0482.16026 Bongartz, K.; Gabriel, P. 331 1982 The intrinsic normal cone. Zbl 0909.14006 Behrend, K.; Fantechi, B. 330 1997 Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian. Zbl 1148.35097 Caffarelli, Luis A.; Salsa, Sandro; Silvestre, Luis 328 2008 Endomorphisms of Abelian varieties over finite fields. Zbl 0147.20303 Tate, J. 327 1966 The Dirichlet problem for a complex Monge-Ampère equation. Zbl 0315.31007 Bedford, Eric; Taylor, B. A. 326 1976 Polyedres de Newton et nombres de Milnor. Zbl 0328.32007 Kushnirenko, A. G. 321 1976 Automorphic forms with singularities on Grassmannians. Zbl 0919.11036 Borcherds, Richard E. 320 1998 Global solvability for the degenerate Kirchhoff equation with real analytic data. Zbl 0785.35067 D’Ancona, Piero; Spagnolo, Sergio 320 1992 The Bergman kernel and biholomorphic mappings of pseudoconvex domains. Zbl 0289.32012 Fefferman, Charles 316 1974 Les immeubles des groupes de tresses généralises. Zbl 0238.20034 Deligne, Pierre 313 1972 Projective modules over polynomial rings. Zbl 0337.13011 Quillen, Daniel 310 1976 Liaison des variétés algébriques. I. Zbl 0298.14022 Peskine, C.; Szpiro, L. 310 1974 Variation of Hodge structure: The singularities of the period mapping. Zbl 0278.14003 Schmid, Wilfried 309 1973 Convexity properties of the moment mapping. Zbl 0503.58017 Guillemin, V.; Sternberg, S. 308 1982 Global existence in critical spaces for compressible Navier-Stokes equations. Zbl 0958.35100 Danchin, R. 304 2000 Global well-posedness for the critical 2D dissipative quasi-geostrophic equation. Zbl 1121.35115 Kiselev, A.; Nazarov, F.; Volberg, A. 297 2007 Topology of finite graphs. Zbl 0521.20013 Stallings, John R. 297 1983 Minimal cones and the Bernstein problem. Zbl 0183.25901 Bombieri, E.; De Giorgi, E.; Giusti, E. 294 1969 On Whittaker vectors and representation theory. Zbl 0405.22013 Kostant, Bertram 286 1978 Intersection homology. II. Zbl 0529.55007 Goresky, Mark; MacPherson, Robert 284 1983 Basic representations of affine Lie algebras and dual resonance models. Zbl 0493.17010 Frenkel, I. B.; Kac, V. G. 283 1980 Propagation of moments and regularity for the 3-dimensional Vlasov- Poisson system. Zbl 0741.35061 Lions, P. L.; Perthame, B. 281 1991 Artin-Gruppen und Coxeter-Gruppen. Zbl 0243.20037 Brieskorn, Egbert; Saito, Kyoji 275 1972 Combinatorics and topology of complements of hyperplanes. Zbl 0432.14016 Orlik, Peter; Solomon, Louis 275 1980 Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism. Zbl 1061.16032 Etingof, Pavel; Ginzburg, Victor 275 2002 Mutation in triangulated categories and rigid Cohen-Macaulay modules. Zbl 1140.18007 Iyama, Osamu; Yoshino, Yuji 274 2008 Limit laws for random matrices and free products. Zbl 0736.60007 Voiculescu, Dan 273 1991 Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below. Zbl 1312.53056 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe 273 2014 Critical point theorems for indefinite functionals. Zbl 0465.49006 Benci, Vieri; Rabinowitz, Paul H. 272 1979 Khovanov homology and the slice genus. Zbl 1211.57009 Rasmussen, Jacob 271 2010 Hall algebras and quantum groups. Zbl 0735.16009 Ringel, Claus Michael 269 1990 The Dunkl transform. Zbl 0789.33007 de Jeu, M. F. E. 267 1993 On the variation in the cohomology of the symplectic form of the reduced phase space. Zbl 0503.58015 Duistermaat, J. J.; Heckman, G. J. 267 1982 Maximal and singular integral operators via Fourier transform estimates. Zbl 0568.42012 Duoandikoetxea, Javier; Rubio de Francia, José L. 267 1986 The Euler characteristic of the moduli space of curves. Zbl 0616.14017 Harer, J.; Zagier, Don 266 1986 Monstrous moonshine and monstrous Lie superalgebras. Zbl 0799.17014 Borcherds, Richard E. 265 1992 Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant. Zbl 0896.14006 Bierstone, Edward; Milman, Pierre D. 264 1997 An example of a non nuclear C*-algebra, which has the metric approximation property. Zbl 0408.46046 Haagerup, Uffe 262 1979 The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space. Zbl 0956.19004 Yu, Guoliang 261 2000 The Brunn-Minkowski inequality in Gauss space. Zbl 0292.60004 Borell, Christer 257 1975 Geometric quantization and multiplicities of group representations. Zbl 0503.58018 Guillemin, V.; Sternberg, S. 257 1982 Well-posedness in Sobolev spaces of the full water wave problem in 2D. Zbl 0892.76009 Wu, Sijue 256 1997 Equivariant cohomology, Koszul duality, and the localization theorem. Zbl 0897.22009 Goresky, Mark; Kottwitz, Robert; MacPherson, Robert 254 1998 Localization of virtual classes. Zbl 0953.14035 Graber, T.; Pandharipande, R. 254 1999 Rational points of Abelian varieties with values in towers of number fields. Zbl 0245.14015 Mazur, Barry 253 1972 Liouville quantum gravity and KPZ. Zbl 1226.81241 Duplantier, Bertrand; Sheffield, Scott 252 2011 Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU(N) groups. Zbl 0664.58044 Woronowicz, S. L. 251 1988 Symplectic structure of the moduli space of sheaves on an abelian or K 3 surface. Zbl 0565.14002 Mukai, Shigeru 250 1984 Conformally flat manifolds, Kleinian groups and scalar curvature. Zbl 0658.53038 Schoen, Richard; Yau, Shing-Tung 247 1988 Quaternionic Kaehler manifolds. Zbl 0486.53048 Salamon, Simon 246 1982 Morse theory and finiteness properties of groups. Zbl 0888.20021 Bestvina, Mladen; Brady, Noel 244 1997 Class fields of abelian extensions of \(\mathbb Q\). Zbl 0545.12005 Mazur, B.; Wiles, A. 244 1984 On the solutions of analytic equations. Zbl 0172.05301 Artin, M. 243 1968 Affine duality and cofiniteness. Zbl 0196.24301 Hartshorne, R. 241 1970 On the Kodaira dimension of the moduli space of curves. Zbl 0506.14016 Harris, Joe; Mumford, David 241 1982 Connected components of the moduli spaces of Abelian differentials with prescribed singularities. Zbl 1087.32010 Kontsevich, Maxim; Zorich, Anton 240 2003 The spectrum of Hill’s equation. Zbl 0319.34024 McKean, H. P.; van Moerbeke, P. 240 1975 On Kähler-Einstein metrics on certain Kähler manifolds with \(C_ 1(M)>0\). Zbl 0599.53046 Tian, Gang 240 1987 Algebraic \(K\)-theory and quadratic forms. With an appendix by J. Tate. Zbl 0199.55501 Milnor, John W. 236 1970 Moduli of graphs and automorphisms of free groups. Zbl 0589.20022 Culler, Marc; Vogtmann, Karen 236 1986 On the equivalence of the entropic curvature-dimension condition and Bochner’s inequality on metric measure spaces. Zbl 1329.53059 Erbar, Matthias; Kuwada, Kazumasa; Sturm, Karl-Theodor 230 2015 A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces. Zbl 0503.53042 Li, Peter; Yau, Shing-Tung 226 1982 Relations between \(K_2\) and Galois cohomology. Zbl 0359.12011 Tate, John 222 1976 The Yang-Baxter equation and invariants of links. Zbl 0648.57003 Turaev, V. G. 221 1988 On the heat equation and the index theorem. Zbl 0257.58008 Atiyah, Michael; Bott, Raoul; Patodi, V. K. 220 1973 Scattering matrix in conformal geometry. Zbl 1030.58022 Graham, C. Robin; Zworski, Maciej 218 2003 On Calabi’s conjecture for complex surfaces with positive first Chern class. Zbl 0716.32019 Tian, G. 217 1990 Undecidability and nonperiodicity for tilings of the plane. Zbl 0197.46801 Robinson, R. M. 210 1971 Well-posedness of the transport equation by stochastic perturbation. Zbl 1200.35226 Flandoli, F.; Gubinelli, M.; Priola, E. 210 2010 Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems. Zbl 0403.57001 Fadell, Edward R.; Rabinowitz, Paul H. 209 1978 Nodal sets of eigenfunctions on Riemannian manifolds. Zbl 0659.58047 Donnelly, Harold; Fefferman, Charles 208 1988 On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer. Zbl 0699.14028 Mazur, B.; Tate, J.; Teitelbaum, J. 208 1986 Threefolds and deformations of surface singularities. Zbl 0642.14008 Kollár, J.; Shepherd-Barron, N. I. 208 1988 Deformation of Kähler metrics to Kähler-Einstein metrics on compact Kähler manifolds. Zbl 0574.53042 Cao, Huai-Dong 207 1985 Equivariant intersection theory (With an appendix by Angelo Vistoli: The Chow ring of \({\mathcal M}_2\)). 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Zbl 1504.14096 Okounkov, A.; Smirnov, A. 39 2022 ...and 1815 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 51,055 Authors 157 Ballico, Edoardo 127 Biswas, Indranil 91 Lusztig, George 81 Varchenko, Alexander Nikolaevich 78 Llibre, Jaume 78 Yin, Zhaoyang 76 Uhlmann, Gunther Alberto 74 Forstnerič, Franc 73 Bringmann, Kathrin 73 Tiep Pham Huu 73 Wei, Juncheng 71 Tian, Gang 67 Pollicott, Mark 67 Yau, Shing-Tung 63 Ono, Ken 62 Dimca, Alexandru 62 Lubotzky, Alexander 61 Pandharipande, Rahul 61 Röhrle, Gerhard 59 Ambrosio, Luigi 59 Bourgain, Jean 59 Huneke, Craig L. 59 Kashiwara, Masaki 59 Shalev, Aner 59 Yau, Stephen Shing-Toung 58 Figalli, Alessio 58 Kenig, Carlos Eduardo 57 Guralnick, Robert Michael 57 Mazorchuk, Volodymyr 57 Popa, Sorin Teodor 57 Shparlinski, Igor E. 55 Tao, Terence 54 Lei, Antonio 53 Jost, Jürgen 53 Larsen, Michael Jeffrey 53 Mejjaoli, Hatem 52 Guillemin, Victor W. 52 Jing, Naihuan 52 Jørgensen, Palle E. 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