## Bulletin of the American Mathematical Society. New Series

 Short Title: Bull. Am. Math. Soc., New Ser. Publisher: American Mathematical Society (AMS), Providence, RI ISSN: 0273-0979; 1088-9485/e Online: https://www.ams.org/journals/bull/all_issues.htmlhttps://projecteuclid.org/all/euclid.bams Predecessor: Bulletin of the American Mathematical Society Comments: Indexed cover-to-cover
 Documents Indexed: 1,449 Publications (since 1979) References Indexed: 1,277 Publications with 44,496 References.
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### Latest Issues

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### Authors

 22 Alexanderson, Gerald L. 9 Friedlander, Eric Mark 9 Mazur, Barry 9 Tao, Terence 8 Hauser, Herwig 8 Simon, Barry 8 Yorke, James Alan 7 Klosinski, Leonard F. 7 Sarnak, Peter Clive 6 Cappell, Sylvain E. 6 Diaconis, Persi Warren 6 Fefferman, Charles Louis 6 Friedlander, Susan Jean 6 Meeks, William Hamilton III 6 Milnor, John Willard 6 Smale, Steve 6 Stein, Elias Menachem 5 Almgren, Frederick Justin jun. 5 Freed, Daniel Stuart 5 Gabai, David 5 Gray, Jeremy John 5 Kenig, Carlos Eduardo 5 Korenblum, Boris 5 Quinn, Frank S. 5 Ruelle, David Pierre 5 Shaneson, Julius L. 5 Weiss, Benjamin 5 White, Brian Cabell 4 Bell, Steven R. 4 Borel, Armand 4 Corwin, Ivan Z. 4 Donaldson, Simon Kirwan 4 Eisenbud, David 4 Farrell, F. Thomas 4 Gesztesy, Fritz 4 Goldman, William M. 4 Hurder, Steven E. 4 Jones, Lowell Edwin 4 Jones, Vaughan Frederick Randal 4 Kac, Victor G. 4 Kollár, János 4 Lang, Serge 4 Lubotzky, Alexander 4 McMullen, Curtis Tracy 4 Morgan, John W. 4 Oliver, Bob 4 Ornstein, Donald Samuel 4 Shelah, Saharon 4 Slemrod, Marshall 4 Sloane, Neil James Alexander 4 Stillwell, John C. 4 Wainger, Stephen 4 Weinberger, Shmuel 4 Weinstein, Alan David 4 Woźniakowski, Henryk 4 Zhao, Zhongxin 3 Akbulut, Selman 3 Aldous, David John 3 Atiyah, Michael Francis 3 Bárány, Imre 3 Bestvina, Mladen 3 Brooks, Robert Wolfe 3 Conway, John Horton 3 Córdoba Barba, Antonio Juan 3 Deift, Percy A. 3 Demeter, Ciprian 3 Dolgachev, Igor’ Vladimirovich 3 Frenkel, Edward V. 3 Furstenberg, Hillel 3 Gersten, Stephen M. 3 Gillet, Henri A. 3 Gordon, Carolyn S. 3 Goresky, Robert Mark 3 Granville, Andrew James 3 Gross, Benedict Hyman 3 Harris, Joseph Daniel 3 Hirsch, Morris W. 3 Hoffman, David A. 3 Howe, Roger Evans 3 Hsiang, Wu-Yi 3 Jerison, David S. 3 Kalai, Gil 3 Katz, Nicholas Michael 3 Katznelson, Yitzhak 3 Kra, Bryna 3 Kra, Irwin 3 Kucharz, Wojciech 3 Lagarias, Jeffrey C. 3 Lakshmibai, Venkatramani 3 Lawson, Herbert Blaine jun. 3 Lax, Peter David 3 Levine, Marc Noel 3 Libgober, Anatoly S. 3 Lieb, Elliott Hershel 3 McClure, James E. 3 Milne, James Stuart 3 Minicozzi, William Philip II 3 Nagel, Alexander 3 Nekrashevych, Volodymyr V. 3 Parshall, Karen Hunger ...and 1,438 more Authors
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### Fields

 219 General and overarching topics; collections (00-XX) 206 Number theory (11-XX) 201 Algebraic geometry (14-XX) 177 History and biography (01-XX) 177 Manifolds and cell complexes (57-XX) 162 Partial differential equations (35-XX) 154 Differential geometry (53-XX) 135 Group theory and generalizations (20-XX) 129 Global analysis, analysis on manifolds (58-XX) 127 Dynamical systems and ergodic theory (37-XX) 102 Several complex variables and analytic spaces (32-XX) 94 Functions of a complex variable (30-XX) 89 Topological groups, Lie groups (22-XX) 88 Probability theory and stochastic processes (60-XX) 82 Combinatorics (05-XX) 79 Algebraic topology (55-XX) 77 Functional analysis (46-XX) 72 Operator theory (47-XX) 69 Quantum theory (81-XX) 57 Harmonic analysis on Euclidean spaces (42-XX) 52 Measure and integration (28-XX) 48 Mathematical logic and foundations (03-XX) 47 Calculus of variations and optimal control; optimization (49-XX) 47 Convex and discrete geometry (52-XX) 45 Nonassociative rings and algebras (17-XX) 41 Computer science (68-XX) 39 Category theory; homological algebra (18-XX) 38 Statistical mechanics, structure of matter (82-XX) 37 Numerical analysis (65-XX) 36 Ordinary differential equations (34-XX) 34 General topology (54-XX) 33 Commutative algebra (13-XX) 32 Fluid mechanics (76-XX) 30 Linear and multilinear algebra; matrix theory (15-XX) 30 Geometry (51-XX) 27 Abstract harmonic analysis (43-XX) 24 Associative rings and algebras (16-XX) 22 Field theory and polynomials (12-XX) 22 Approximations and expansions (41-XX) 21 Real functions (26-XX) 20 $$K$$-theory (19-XX) 19 Biology and other natural sciences (92-XX) 19 Information and communication theory, circuits (94-XX) 18 Mechanics of particles and systems (70-XX) 17 Statistics (62-XX) 16 Relativity and gravitational theory (83-XX) 14 Special functions (33-XX) 13 Potential theory (31-XX) 13 Mechanics of deformable solids (74-XX) 13 Operations research, mathematical programming (90-XX) 12 Systems theory; control (93-XX) 11 Order, lattices, ordered algebraic structures (06-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Integral transforms, operational calculus (44-XX) 6 Optics, electromagnetic theory (78-XX) 4 General algebraic systems (08-XX) 4 Sequences, series, summability (40-XX) 4 Integral equations (45-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Astronomy and astrophysics (85-XX) 3 Geophysics (86-XX) 2 Difference and functional equations (39-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

1,122 Publications have been cited 27,531 times in 25,433 Documents Cited by Year
User’s guide to viscosity solutions of second order partial differential equations. Zbl 0755.35015
Crandall, Michael G.; Ishii, Hitoshi; Lions, Pierre-Louis
1992
Schrödinger semigroups. Zbl 0524.35002
Simon, Barry
1982
Nonconvex minimization problems. Zbl 0441.49011
Ekeland, Ivar
1979
A polynomial invariant for knots via von Neumann algebras. Zbl 0564.57006
Jones, Vaughan F. R.
1985
The inverse function theorem of Nash and Moser. Zbl 0499.58003
Hamilton, Richard S.
1982
On the geometry and dynamics of diffeomorphisms of surfaces. Zbl 0674.57008
Thurston, William P.
1988
Three dimensional manifolds, Kleinian groups and hyperbolic geometry. Zbl 0496.57005
Thurston, William P.
1982
The Yamabe problem. Zbl 0633.53062
Lee, John M.; Parker, Thomas H.
1987
Expander graphs and their applications. Zbl 1147.68608
Hoory, Shlomo; Linial, Nathan; Widgerson, Avi
2006
On the mathematical foundations of learning. Zbl 0983.68162
Cucker, Felipe; Smale, Steve
2002
The octonions. Zbl 1026.17001
Baez, John C.
2002
A new polynomial invariant of knots and links. Zbl 0572.57002
Freyd, P.; Yetter, D.; Hoste, J.; Lickorish, W. B. R.; Millett, K.; Ocneanu, A.
1985
The Brunn-Minkowski inequality. Zbl 1019.26008
Gardner, R. J.
2002
Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds. Zbl 0927.58019
Grigor’yan, Alexander
1999
The Jacobian conjecture: Reduction of degree and formal expansion of the inverse. Zbl 0539.13012
Bass, Hyman; Connell, Edwin H.; Wright, David
1982
On a theory of computation and complexity over the real numbers: NP- completeness, recursive functions and universal machines. Zbl 0681.03020
Blum, Lenore; Shub, Mike; Smale, Steve
1989
Universal families and hypercyclic operators. Zbl 0933.47003
Grosse-Erdmann, Karl-Goswin
1999
Iteration of meromorphic functions. Zbl 0791.30018
Bergweiler, Walter
1993
Particle trajectories in solitary water waves. Zbl 1126.76012
2007
Topology and data. Zbl 1172.62002
Carlsson, Gunnar
2009
The uncertainty principle. Zbl 0526.35080
Fefferman, Charles L.
1983
Evolutionary game dynamics. Zbl 1049.91025
Hofbauer, Josef; Sigmund, Karl
2003
Complex analytic dynamics on the Riemann sphere. Zbl 0558.58017
Blanchard, Paul
1984
Finite element exterior calculus: From Hodge theory to numerical stability. Zbl 1207.65134
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
2010
Centennial history of Hilbert’s 16th Problem. Zbl 1004.34017
Ilyashenko, Yu.
2002
Normal families: New perspectives. Zbl 1037.30021
Zalcman, Lawrence
1998
The Neumann problem on Lipschitz domains. Zbl 0471.35026
Jerison, David S.; Kenig, Carlos E.
1981
A tour of the theory of absolutely minimizing functions. Zbl 1150.35047
Aronsson, Gunnar; Crandall, Michael G.; Juutinen, Petri
2004
Eigenvalues, invariant factors, highest weights, and Schubert calculus. Zbl 0994.15021
Fulton, William
2000
Dyson’s crank of a partition. Zbl 0646.10008
Andrews, George E.; Garvan, F. G.
1988
Invariants of finite groups and their applications to combinatorics. Zbl 0497.20002
Stanley, Richard P.
1979
Some extremal functions in Fourier analysis. Zbl 0575.42003
Vaaler, Jeffrey D.
1985
The fundamental theorem of algebra and complexity theory. Zbl 0456.12012
Smale, Steve
1981
Barcodes: the persistent topology of data. Zbl 1391.55005
Ghrist, Robert
2008
Prevalence: a translation-invariant “almost every” on infinite- dimensional spaces. Zbl 0763.28009
Hunt, Brian R.; Sauer, Tim; Yorke, James A.
1992
How many zeros of a random polynomial are real? Zbl 0820.34038
Edelman, Alan; Kostlan, Eric
1995
A computer-assisted proof of the Feigenbaum conjectures. Zbl 0487.58017
Lanford, Oscar E. III
1982
Linear subsets of nonlinear sets in topological vector spaces. Zbl 1292.46004
Bernal-González, Luis; Pellegrino, Daniel; Seoane-Sepúlveda, Juan B.
2014
Zeroes of zeta functions and symmetry. Zbl 0921.11047
Katz, Nicholas M.; Sarnak, Peter
1999
Ergodic theory of amenable group actions. I: The Rohlin lemma. Zbl 0427.28018
Ornstein, Donald S.; Weiss, Benjamin
1980
Nonlinear dynamics of networks: the groupoid formalism. Zbl 1119.37036
Golubitsky, Martin; Stewart, Ian
2006
The importance of the Selberg integral. Zbl 1154.33002
Forrester, Peter J.; Warnaar, S. Ole
2008
Some recent developments in Fourier analysis and $$H^ p$$-theory on product domains. Zbl 0557.42007
Chang, Sun-Yung A.; Fefferman, Robert
1985
New points of view in knot theory. Zbl 0785.57001
Birman, Joan S.
1993
On the efficiency of algorithms of analysis. Zbl 0592.65032
Smale, Steve
1985
Fixed point theory and nonlinear problems. Zbl 0533.47053
Browder, Felix E.
1983
Shannon sampling and function reconstruction from point values. Zbl 1107.94007
Smale, Steve; Zhou, Ding-Xuan
2004
The dynamical systems approach to differential equations. Zbl 0541.34026
Hirsch, Morris W.
1984
Five short stories about the cardinal series. Zbl 0562.42002
Higgins, J. R.
1985
Symplectic groupoids and Poisson manifolds. Zbl 0618.58020
Weinstein, Alan
1987
Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem. Zbl 0937.60001
Aldous, David; Diaconis, Persi
1999
Stable complete minimal surfaces in $$R^3$$ are planes. Zbl 0442.53013
do Carmo, Manfredo Perdigão; Peng, C. K.
1979
Cayley-Bacharach theorems and conjectures. Zbl 0871.14024
Eisenbud, David; Green, Mark; Harris, Joe
1996
Chaos in the Lorenz equations: A computer-assisted proof. Zbl 0820.58042
Mischaikow, Konstantin; Mrozek, Marian
1995
Periodic solutions of nonlinear vibrating strings and duality principles. Zbl 0515.35060
Brézis, Haïm
1983
Amalgams of $$L^ p$$ and $$l^ q$$. Zbl 0593.43005
Fournier, John J. F.; Stewart, James
1985
Selected new aspects of the calculus of variations in the large. Zbl 1064.35054
Ekeland, Ivar; Ghoussoub, Nassif
2002
On the Euler equations of incompressible fluids. Zbl 1132.76009
Constantin, Peter
2007
Frontiers in complex dynamics. Zbl 0807.30013
McMullen, Curtis T.
1994
Lectures on Morse theory, old and new. Zbl 0505.58001
Bott, Raoul
1982
Hyperbolic geometry: the first 150 years. Zbl 0486.01006
Milnor, John W.
1982
Noncommutative curves and noncommutative surfaces. Zbl 1042.16016
Stafford, J. T.; Van den Bergh, M.
2001
Quasipositivity as an obstruction to sliceness. Zbl 0789.57004
Rudolph, Lee
1993
Variational and topological methods in nonlinear problems. Zbl 0468.47040
Nirenberg, Louis
1981
Probability laws related to the Jacobi theta and Riemann zeta functions, and Brownian excursions. Zbl 1040.11061
Biane, Philippe; Pitman, Jim; Yor, Marc
2001
Hyperbolic and Diophantine analysis. Zbl 0602.14019
Lang, Serge
1986
The invariant theory of binary forms. Zbl 0577.15020
Kung, Joseph P. S.; Rota, Gian-Carlo
1984
One cannot hear the shape of a drum. Zbl 0756.58049
Gordon, Carolyn; Webb, David L.; Wolpert, Scott
1992
The $$h$$-principle and the equations of fluid dynamics. Zbl 1254.35180
De Lellis, Camillo; Székelyhidi, László jun.
2012
Notes on topological stability. Zbl 1260.57049
Mather, John
2012
An overview of periodic elliptic operators. Zbl 1346.35170
Kuchment, Peter
2016
A class of nonsymmetric harmonic Riemannian spaces. Zbl 0755.53032
Damek, Ewa; Ricci, Fulvio
1992
Grothendieck’s theorem, past and present. Zbl 1244.46006
Pisier, Gilles
2012
On the role of the Heisenberg group in harmonic analysis. Zbl 0442.43002
Howe, Roger
1980
Regularity properties in the classification program for separable amenable $$C^*$$-algebras. Zbl 1151.46048
Elliott, George A.; Toms, Andrew S.
2008
Topological quantum computation. Zbl 1019.81008
Freedman, Michael H.; Kitaev, Alexei; Larsen, Michael J.; Wang, Zhenghan
2003
Expander graphs in pure and applied mathematics. Zbl 1232.05194
Lubotzky, Alexander
2012
Euler’s constant: Euler’s work and modern developments. Zbl 1282.11002
Lagarias, Jeffrey C.
2013
A generalization of the Tarski-Seidenberg theorem, and some nondefinability results. Zbl 0612.03008
van den Dries, Lou
1986
The development of square functions in the work of A. Zygmund. Zbl 0526.01021
Stein, Elias M.
1982
The decomposition theorem, perverse sheaves and the topology of algebraic maps. Zbl 1181.14001
de Cataldo, Mark Andrea A.; Migliorini, Luca
2009
Invisibility and inverse problems. Zbl 1159.35074
Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
2009
Discrete conformal groups and measurable dynamics. Zbl 0489.58027
Sullivan, Dennis
1982
The point of pointless topology. Zbl 0499.54002
Johnstone, Peter T.
1983
A normal form for elliptic curves. Zbl 1134.14308
Edwards, Harold M.
2007
Frames, Riesz bases, and discrete Gabor/wavelet expansions. Zbl 0982.42018
Christensen, Ole
2001
A new series of dense graphs of high girth. Zbl 0822.05039
Lazebnik, F.; Ustimenko, V. A.; Woldar, A. J.
1995
Artin’s conjecture for representations of octahedral type. Zbl 0475.12016
Tunnell, Jerrold
1981
Finite dimensional Teichmüller spaces and generalizations. Zbl 0485.30002
Bers, Lipman
1981
A counterexample to Borsuk’s conjecture. Zbl 0786.52002
Kahn, Jeff; Kalai, Gil
1993
A steepest descent method for oscillatory Riemann-Hilbert problems. Zbl 0746.35031
Deift, P.; Zhou, X.
1992
Multivariate stable polynomials: theory and applications. Zbl 1207.32006
Wagner, David G.
2011
Algebraic structure of genetic inheritance. Zbl 0876.17040
Reed, Mary Lynn
1997
Patterns in eigenvalues: the 70th Josiah Willard Gibbs lecture. Zbl 1161.15302
Diaconis, Persi
2003
Geodesic flows, interval maps, and symbolic dynamics. Zbl 0802.58037
1991
The Tait flyping conjecture. Zbl 0745.57002
Menasco, William W.; Thistlethwaite, Morwen B.
1991
From the Littlewood-Offord problem to the circular law: universality of the spectral distribution of random matrices. Zbl 1168.15018
Tao, Terence; Vu, Van
2009
From atoms to crystals: a mathematical journey. Zbl 1136.81371
Le Bris, Claude; Lions, Pierre-Louis
2005
The Markov chain Monte Carlo revolution. Zbl 1168.60032
Diaconis, Persi
2009
Hurwitz groups: A brief survey. Zbl 0716.20015
Conder, Marston
1990
Eigenvectors from eigenvalues: a survey of a basic identity in linear algebra. Zbl 1481.15008
Denton, Peter B.; Parke, Stephen J.; Tao, Terence; Zhang, Xining
2022
Book review of: M. Pankov, Wigner-type theorems for Hilbert Grassmannians. Zbl 1484.00025
Gehér, György Pál
2022
Convex integration constructions in hydrodynamics. Zbl 1461.35186
2021
Atiyah’s work on holomorphic vector bundles and gauge theories. Zbl 1476.14002
Donaldson, Simon
2021
Exploring the toolkit of Jean Bourgain. Zbl 1466.28001
Tao, Terence
2021
On the work of Jean Bourgain in nonlinear dispersive equations. Zbl 1462.35335
Kenig, Carlos E.
2021
Geometric hydrodynamics and infinite-dimensional Newton’s equations. Zbl 1473.35444
Khesin, Boris; Misiołek, Gerard; Modin, Klas
2021
Moving boundary problems. Zbl 1462.76038
Čanić, Sunčica
2021
Hilbert 13: are there any genuine continuous multivariate real-valued functions? Zbl 1458.26016
Morris, Sidney A.
2021
Bourgain’s work in Fourier restriction. Zbl 1459.42037
Demeter, Ciprian
2021
The legacy of Jean Bourgain in geometric functional analysis. Zbl 1471.46010
Ball, Keith
2021
Dynamical versions of Hardy’s uncertainty principle: a survey. Zbl 1468.42002
Fernández-Bertolin, Aingeru; Malinnikova, Eugenia
2021
Some recent progress in singular stochastic partial differential equations. Zbl 1448.35003
Corwin, Ivan; Shen, Hao
2020
A tour through Mirzakhani’s work on moduli spaces of Riemann surfaces. Zbl 1452.32003
Wright, Alex
2020
About the cover: The fine-Petrović polygons and the Newton-Puiseux method for algebraic ordinary differential equations. Zbl 1443.34002
2020
The shuffle conjecture. Zbl 1428.05312
van Willigenburg, Stephanie
2020
Minimal surfaces and free boundaries: recent developments. Zbl 1433.35464
Caffarelli, Luis A.; Sire, Yannick
2020
Group actions, divisors, and plane curves. Zbl 1439.14134
Bonifant, Araceli; Milnor, John
2020
Hausdorff dimension, Lagrange and Markov dynamical spectra for geometric Lorenz attractors. Zbl 1436.11079
Moreira, Carlos Gustavo T.; Pacifico, Maria José; Romaña Ibarra, Sergio
2020
Analysis and applications: the mathematical work of Elias Stein. Zbl 1452.32001
Fefferman, Charles; Ionescu, Alex; Tao, Terence; Wainger, Stephen
2020
Constants of de Bruijn-Newman type in analytic number theory and statistical physics. Zbl 1469.11312
Newman, Charles M.; Wu, Wei
2020
Differentiability versus continuity: restriction and extension theorems and monstrous examples. Zbl 1414.26010
Ciesielski, Krzysztof C.; Seoane-Sepúlveda, Juan B.
2019
The discrete yet ubiquitous theorems of Carathéodory, Helly, Sperner, Tucker, and Tverberg. Zbl 1460.52010
De Loera, Jesús A.; Goaoc, Xavier; Meunier, Frédéric; Mustafa, Nabil H.
2019
On Milnor’s fibration theorem and its offspring after 50 years. Zbl 1416.32001
2019
Stability of the Couette flow at high Reynolds numbers in two dimensions and three dimensions. Zbl 1445.76042
Bedrossian, Jacob; Germain, Pierre; Masmoudi, Nader
2019
Equilibrium states in dynamical systems via geometric measure theory. Zbl 1430.37036
Climenhaga, Vaughn; Pesin, Yakov; Zelerowicz, Agnieszka
2019
Current trends and open problems in arithmetic dynamics. Zbl 1468.37001
Benedetto, Robert; Ingram, Patrick; Jones, Rafe; Manes, Michelle; Silverman, Joseph H.; Tucker, Thomas J.
2019
Materials from mathematics. Zbl 1409.74035
James, Richard D.
2019
The threshold theorem for the $$(4+1)$$-dimensional Yang-Mills equation: an overview of the proof. Zbl 1420.35273
Oh, Sung-Jin; Tataru, Daniel
2019
New applications of the polynomial method: the cap set conjecture and beyond. Zbl 1434.11033
Grochow, Joshua A.
2019
From Newton to Navier-Stokes, or how to connect fluid mechanics equations from microscopic to macroscopic scales. Zbl 1420.35186
Gallagher, Isabelle
2019
Cubics in 10 variables vs. cubics in 1000 variables: uniformity phenomena for bounded degree polynomials. Zbl 1405.13003
Erman, Daniel; Sam, Steven V.; Snowden, Andrew
2019
Analytic $$L$$-functions: definitions, theorems, and connections. Zbl 1453.11107
Farmer, David W.; Pitale, Ameya; Ryan, Nathan C.; Schmidt, Ralf
2019
Algebraic hypersurfaces. Zbl 1470.14085
Kollár, János
2019
Tverberg’s theorem is 50 years old: a survey. Zbl 1401.52012
Bárány, Imre; Soberón, Pablo
2018
Mathematics of topological quantum computing. Zbl 1437.81005
Rowell, Eric C.; Wang, Zhenghan
2018
Commentary on “Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem” by David Aldous and Persi Diaconis. Zbl 1390.82006
Corwin, Ivan
2018
Afterword: Dynamical zeta functions for axiom A flows. Zbl 1390.37002
Dyatlov, Semyon; Guillarmou, Colin
2018
Symplectic embedding problems, old and new. Zbl 1464.53106
Schlenk, Felix
2018
Hodge theory in combinatorics. Zbl 1376.05046
Baker, Matthew
2018
An introduction to univalent foundations for mathematicians. Zbl 1461.03012
Grayson, Daniel R.
2018
Black hole formation and stability: a mathematical investigation. Zbl 1381.83007
Bieri, Lydia
2018
Statistical proof? The problem of irreproducibility. Zbl 1398.62047
Holmes, Susan
2018
Tao’s resolution of the Erdős discrepancy problem. Zbl 1440.11144
Soundararajan, K.
2018
Abhyankar’s conjectures in Galois theory: current status and future directions. Zbl 1432.14029
Harbater, David; Obus, Andrew; Pries, Rachel; Stevenson, Katherine
2018
Commentary on “Differentiable dynamical systems” by Stephen Smale. Zbl 1390.37004
Zworski, Maciej
2018
In memoriam: Vladimir Voevodsky. Zbl 1395.01049
Friedlander, Eric M.
2018
Vladimir Voevodsky – an appreciation. Zbl 1408.14003
Levine, Marc
2018
High dimensionality and $$h$$-principle in PDE. Zbl 1366.35120
De Lellis, Camillo; Székelyhidi, László jun.
2017
What can topology tell us about the neural code? Zbl 1353.92027
Curto, Carina
2017
Some singular equations modeling MEMS. Zbl 1456.35193
Laurençot, Philippe; Walker, Christoph
2017
What are Lyapunov exponents, and why are they interesting? Zbl 1390.37041
Wilkinson, Amie
2017
Geometric, algebraic, and analytic descendants of Nash isometric embedding theorems. Zbl 1379.58003
Gromov, Misha
2017
Generalizations of Fourier analysis, and how to apply them. Zbl 1360.05019
Gowers, W. T.
2017
Laplacian growth, sandpiles, and scaling limits. Zbl 1451.37013
Levine, Lionel; Peres, Yuval
2017
On Nash’s unique contribution to analysis in just three of his papers. Zbl 1364.35007
Klainerman, Sergiu
2017
Recent progress on the Tate conjecture. Zbl 1375.14037
Totaro, Burt
2017
The classical Artin approximation theorems. Zbl 1377.13001
Hauser, Herwig
2017
Graphs, vectors, and matrices. Zbl 1351.05146
Spielman, Daniel A.
2017
Probabilistic combinatorics and the recent work of Peter Keevash. Zbl 1351.05074
Gowers, W. T.
2017
Essential dimension. Zbl 1386.14004
Merkurjev, Alexander S.
2017
Hamiltonian and symplectic symmetries: an introduction. Zbl 1451.53003
Pelayo, Álvaro
2017
Nash’s work in algebraic geometry. Zbl 1359.14002
Kollár, János
2017
Tate’s work and the Serre-Tate correspondence. Zbl 1380.11001
Colmez, Pierre
2017
Rational points on, and the arithmetic of, elliptic curves: a tale of two books (and an article). Zbl 1436.11005
Silverman, Joseph H.
2017
An overview of periodic elliptic operators. Zbl 1346.35170
Kuchment, Peter
2016
An introduction to large deviations for random graphs. Zbl 1356.60044
Chatterjee, Sourav
2016
From rational billiards to dynamics on moduli spaces. Zbl 1353.37076
Wright, Alex
2016
Fusion systems. Zbl 1397.20028
Aschbacher, Michael; Oliver, Bob
2016
Limit shapes, real and imagined. Zbl 1348.60053
Okounkov, Andrei
2016
Three themes of syzygies. Zbl 1346.13026
Fløystad, Gunnar; McCullough, Jason; Peeva, Irena
2016
Reciprocity laws and Galois representations: recent breakthroughs. Zbl 1330.11071
Weinstein, Jared
2016
The nonlinear Schrödinger equation on tori: integrating harmonic analysis, geometry, and probability. Zbl 1328.35214
Nahmod, Andrea R.
2016
Moduli spaces and macromolecules. Zbl 1338.92092
Penner, R. C.
2016
Arithmetic hyperbolic reflection groups. Zbl 1342.22017
Belolipetsky, Mikhail
2016
$$E_8$$, the most exceptional group. Zbl 1398.20062
Garibaldi, Skip
2016
Oswald, Nicola M. R.; Steuding, Jörn
2016
Book review of: H. Iwaniec, Lectures on the Riemann zeta function. Zbl 1337.00010
Conrey, Brian
2016
Book review of: A. Brudnyi and Y. Brudnyi, Methods of geometric analysis in extension and trace problems. Vol. 1 and Vol. 2. Zbl 1325.00013
Luli, Garving K.
2016
Book review of: M. I. Ostrovskii, Metric embeddings: Bilipschitz and coarse embedddings into Banach spaces. Zbl 1337.00009
Baudier, Florent P.; Johnson, William B.
2016
The emergence of gravitational wave science: 100 years of development of mathematical theory, detectors, numerical algorithms, and data analysis tools. Zbl 1350.83009
Holst, Michael; Sarbach, Olivier; Tiglio, Manuel; Vallisneri, Michele
2016
Book review of: C. D. Sogge, Hangzhou lectures on eigenfunctions of the Laplacian. Zbl 1346.00021
Hassell, Andrew
2016
Mean curvature flow. Zbl 1442.53064
Colding, Tobias Holck; Minicozzi, William P. II; Pedersen, Erik Kjær
2015
Growth in groups: ideas and perspectives. Zbl 1360.20039
Helfgott, Harald Andrés
2015
$$L^{p}$$ theory for outer measures and two themes of Lennart Carleson united. Zbl 1318.42016
Do, Yen; Thiele, Christoph
2015
Primes in intervals of bounded length. Zbl 1319.11064
Granville, Andrew
2015
On the geometry of outer space. Zbl 1368.20052
Vogtmann, Karen
2015
Topology of Nonarchimedean analytic spaces and relations to complex algebraic geometry. Zbl 1317.32046
Payne, Sam
2015
Recent advances in symplectic flexibility. Zbl 1310.53001
Eliashberg, Yakov
2015
Quantitative ergodic theorems and their number-theoretic applications. Zbl 1351.37039
Gorodnik, Alexander; Nevo, Amos
2015
A symplectic prolegomenon. Zbl 1317.53003
Smith, Ivan
2015
Earth’s carbon cycle: a mathematical perspective. Zbl 1311.86001
Rothman, Daniel H.
2015
Heilbronn characters. Zbl 1326.20007
Foote, Richard; Ginsberg, Hy; Murty, Vijaya Kumar
2015
About the cover: a new mathematical celebrity. Zbl 1310.01017
Granville, Andrew
2015
Book review of: Kai Cieliebak and Yakov Eliashberg, From Stein to Weinstein and back. Symplectic geometry of affine complex manifolds. Zbl 1314.00047
Oancea, Alexandru
2015
Book review of: Isabelle Gallagher, Laure Saint-Raymond and Benjamin Texier, From Newton to Boltzmann: hard spheres and short-range potentials. Zbl 1314.00062
Simonella, Sergio; Spohn, Herbert
2015
Topology through the centuries: low dimensional manifolds. Zbl 1323.57003
Milnor, John
2015
Linear subsets of nonlinear sets in topological vector spaces. Zbl 1292.46004
Bernal-González, Luis; Pellegrino, Daniel; Seoane-Sepúlveda, Juan B.
2014
The Monge-Ampère equation and its link to optimal transportation. Zbl 06377770
De Philippis, Guido; Figalli, Alessio
2014
The classification of subfactors of index at most 5. Zbl 1301.46039
Jones, Vaughan F. R.; Morrison, Scott; Snyder, Noah
2014
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### Cited by 24,735 Authors

 54 Yin, Zhaoyang 52 Bernal-Gonzàlez, Luis 52 Llibre, Jaume 52 Seoane-Sepúlveda, Juan Benigno 50 Rossi, Julio Daniel 43 Simon, Barry 40 Bergweiler, Walter 36 Stoimenow, Alexander 35 Cordero, Alicia 35 Torregrosa Sanchez, Juan Ramón 33 Lions, Pierre-Louis 32 Jørgensen, Palle E. T. 30 Ishii, Hitoshi 30 Souganidis, Panagiotis E. 30 van den Essen, Arno 28 Barles, Guy 28 Nestoridis, Vassili 28 Punzo, Fabio 27 Cucker, Felipe 27 Zhao, Wenhua 26 Lu, Guozhen 26 Zhou, Dingxuan 25 Ludkovsky, Sergey Victor 25 Schechter, Martin 24 Meeks, William Hamilton III 23 Abhyankar, Shreeram Shankar 23 Calderón-Moreno, María del Carmen 23 Mi, Yongsheng 22 Giga, Yoshikazu 22 Lassas, Matti J. 22 McMullen, Curtis Tracy 22 Vitolo, Antonio 21 Kauffman, Louis Hirsch 21 Rigoli, Marco 21 Świȩch, Andrzej 21 Tao, Terence 20 Ding, Yanheng 20 Erdős, László 20 Forrester, Peter J. 20 Fulman, Jason E. 20 Gesztesy, Fritz 20 Morozov, Alexei Yurievich 20 Mrozek, Marian 20 Mu, Chunlai 20 Qiu, Jinghui 20 Shen, Zhongwei 20 Urbański, Mariusz 20 Yau, Stephen Shing-Toung 19 Bourgain, Jean 19 Cardaliaguet, Pierre 19 Gasull, Armengol 19 Sarnak, Peter Clive 19 Woźniakowski, Henryk 18 Armstrong, Scott N. 18 Bonilla, Antonio 18 Chen, Gui-Qiang G. 18 Constantin, Adrian 18 Figalli, Alessio 18 Ho, Kwok-Pun 18 Lubotzky, Alexander 18 Peris, Alfredo 18 Pollicott, Mark 18 Quaas, Alexander 18 Rempe-Gillen, Lasse 18 Sheng, Baohuai 18 Shore, Richard Arnold 18 Sun, Hongwei 18 Yorke, James Alan 18 Zayed, Elsayed M. E. 17 Ciesielski, Krzysztof Chris 17 Devaney, Robert L. 17 Diaconis, Persi Warren 17 Fang, Mingliang 17 Jin, Xian’an 17 Langley, James K. 17 Manfredi, Juan J. 17 Meer, Klaus 17 Mischaikow, Konstantin 17 Monneau, Régis 17 Neilan, Michael 17 Ono, Ken 17 Rippon, Philip Jonathan 17 Salani, Paolo 17 Sixsmith, David Jonathan 17 Stallard, Gwyneth Mary 17 Stein, Elias Menachem 17 Wang, Shi Cheng 17 Wang, Zhenghan 16 Azagra, Daniel 16 Bavula, Vladimir V. 16 Bellomo, Nicola 16 Buckdahn, Rainer 16 Chen, Dirong 16 Conejero, José Alberto 16 Downey, Rodney Graham 16 Kanenobu, Taizo 16 Li, Juan 16 Mireles-James, Jason D. 16 Muñoz-Fernández, Gustavo Adolfo 16 Naor, Assaf ...and 24,635 more Authors
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### Cited in 1,060 Journals

 625 Journal of Mathematical Analysis and Applications 624 Transactions of the American Mathematical Society 572 Proceedings of the American Mathematical Society 528 Communications in Mathematical Physics 523 Advances in Mathematics 436 Journal of Functional Analysis 377 Journal of Differential Equations 343 Inventiones Mathematicae 342 Journal of Mathematical Physics 329 Mathematische Annalen 318 Journal of Algebra 315 Bulletin of the American Mathematical Society. New Series 294 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 279 Duke Mathematical Journal 263 Topology and its Applications 245 Mathematische Zeitschrift 228 Journal of Knot Theory and its Ramifications 219 The Journal of Geometric Analysis 215 Calculus of Variations and Partial Differential Equations 210 Israel Journal of Mathematics 198 Journal of Pure and Applied Algebra 191 Linear Algebra and its Applications 189 Ergodic Theory and Dynamical Systems 180 Communications in Partial Differential Equations 173 Archive for Rational Mechanics and Analysis 172 Journal of Number Theory 162 Journal of Geometry and Physics 146 Annales de l’Institut Fourier 134 Journal of the American Mathematical Society 133 Mathematical Proceedings of the Cambridge Philosophical Society 133 Journal of Mathematical Sciences (New York) 128 Communications in Algebra 127 Journal of Complexity 127 Algebraic & Geometric Topology 126 Physica D 126 Geometry & Topology 125 Acta Mathematica Sinica. English Series 123 Journal d’Analyse Mathématique 122 Geometriae Dedicata 120 Theoretical Computer Science 120 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 119 Discrete & Computational Geometry 119 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 115 Discrete and Continuous Dynamical Systems 114 Manuscripta Mathematica 108 Discrete Mathematics 108 Journal of Statistical Physics 106 Compositio Mathematica 106 Monatshefte für Mathematik 105 Mathematics of Computation 103 Applied Mathematics and Computation 101 Journal of Computational and Applied Mathematics 100 Journal of Approximation Theory 96 Journal de Mathématiques Pures et Appliquées. Neuvième Série 90 Journal of High Energy Physics 90 Comptes Rendus. Mathématique. Académie des Sciences, Paris 89 Applicable Analysis 89 Geometric and Functional Analysis. GAFA 87 Nonlinear Analysis. Theory, Methods & Applications 84 Differential Geometry and its Applications 82 The Annals of Probability 82 Journal of Combinatorial Theory. Series A 82 Stochastic Processes and their Applications 81 Bulletin of the Australian Mathematical Society 81 Advances in Applied Mathematics 81 Annals of Mathematics. Second Series 80 Experimental Mathematics 78 Chaos, Solitons and Fractals 78 The Ramanujan Journal 76 Letters in Mathematical Physics 76 Annals of Global Analysis and Geometry 75 Annals of Pure and Applied Logic 74 Mathematical Notes 74 Acta Mathematica 74 Communications in Contemporary Mathematics 72 Annali di Matematica Pura ed Applicata. Serie Quarta 72 Acta Applicandae Mathematicae 70 Journal für die Reine und Angewandte Mathematik 70 International Journal of Mathematics 69 Science China. Mathematics 68 Archiv der Mathematik 68 The Journal of Fourier Analysis and Applications 67 Computers & Mathematics with Applications 67 European Journal of Combinatorics 67 Revista Matemática Iberoamericana 66 Probability Theory and Related Fields 65 The Journal of Symbolic Logic 64 Integral Equations and Operator Theory 64 Memoirs of the American Mathematical Society 64 Communications on Pure and Applied Analysis 63 Journal of Computational Physics 63 Journal of the European Mathematical Society (JEMS) 62 Rocky Mountain Journal of Mathematics 62 Indagationes Mathematicae. New Series 62 NoDEA. Nonlinear Differential Equations and Applications 62 Foundations of Computational Mathematics 61 Potential Analysis 61 Bulletin des Sciences Mathématiques 60 Communications on Pure and Applied Mathematics 60 Reviews in Mathematical Physics ...and 960 more Journals
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### Cited in 63 Fields

 4,734 Partial differential equations (35-XX) 2,618 Dynamical systems and ergodic theory (37-XX) 2,274 Manifolds and cell complexes (57-XX) 2,185 Differential geometry (53-XX) 2,142 Number theory (11-XX) 1,738 Algebraic geometry (14-XX) 1,721 Probability theory and stochastic processes (60-XX) 1,685 Global analysis, analysis on manifolds (58-XX) 1,580 Combinatorics (05-XX) 1,527 Functions of a complex variable (30-XX) 1,499 Operator theory (47-XX) 1,466 Quantum theory (81-XX) 1,451 Group theory and generalizations (20-XX) 1,394 Functional analysis (46-XX) 1,351 Calculus of variations and optimal control; optimization (49-XX) 1,338 Numerical analysis (65-XX) 1,167 Computer science (68-XX) 1,005 Harmonic analysis on Euclidean spaces (42-XX) 999 Several complex variables and analytic spaces (32-XX) 865 Ordinary differential equations (34-XX) 793 Topological groups, Lie groups (22-XX) 785 Convex and discrete geometry (52-XX) 701 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 660 Linear and multilinear algebra; matrix theory (15-XX) 645 Nonassociative rings and algebras (17-XX) 640 Algebraic topology (55-XX) 629 Fluid mechanics (76-XX) 581 Mathematical logic and foundations (03-XX) 562 Statistical mechanics, structure of matter (82-XX) 562 Biology and other natural sciences (92-XX) 519 Commutative algebra (13-XX) 510 Systems theory; control (93-XX) 507 Real functions (26-XX) 493 Information and communication theory, circuits (94-XX) 473 Statistics (62-XX) 450 Measure and integration (28-XX) 430 General topology (54-XX) 417 Operations research, mathematical programming (90-XX) 369 Special functions (33-XX) 364 Associative rings and algebras (16-XX) 364 Approximations and expansions (41-XX) 330 Relativity and gravitational theory (83-XX) 306 Abstract harmonic analysis (43-XX) 277 Potential theory (31-XX) 275 Mechanics of particles and systems (70-XX) 259 Category theory; homological algebra (18-XX) 244 History and biography (01-XX) 234 Field theory and polynomials (12-XX) 221 Mechanics of deformable solids (74-XX) 219 Geometry (51-XX) 170 Order, lattices, ordered algebraic structures (06-XX) 169 Difference and functional equations (39-XX) 155 General and overarching topics; collections (00-XX) 133 Optics, electromagnetic theory (78-XX) 128 Integral equations (45-XX) 102 $$K$$-theory (19-XX) 97 Integral transforms, operational calculus (44-XX) 70 Sequences, series, summability (40-XX) 46 Geophysics (86-XX) 34 Classical thermodynamics, heat transfer (80-XX) 28 General algebraic systems (08-XX) 22 Mathematics education (97-XX) 14 Astronomy and astrophysics (85-XX)