| # | Title | Journal | Year | Citations |
|---|
| 1 | Laplacian Eigenmaps for Dimensionality Reduction and Data Representation | Neural Computation | 2003 | 5,873 |
| 2 | Finite Automata and Their Decision Problems | IBM Journal of Research and Development | 1959 | 1,413 |
| 3 | Construction of fixed points of nonlinear mappings in Hilbert space | Journal of Mathematical Analysis and Applications | 1967 | 848 |
| 4 | NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE | Proceedings of the National Academy of Sciences of the United States of America | 1965 | 674 |
| 5 | Controllability of nonlinear systems | Journal of Differential Equations | 1972 | 671 |
| 6 | On Some Exponential Sums | Proceedings of the National Academy of Sciences of the United States of America | 1948 | 621 |
| 7 | Local mountain passes for semilinear elliptic problems in unbounded domains | Calculus of Variations and Partial Differential Equations | 1996 | 609 |
| 8 | Koszul Duality Patterns in Representation Theory | Journal of the American Mathematical Society | 1996 | 555 |
| 9 | The Bergman kernel and biholomorphic mappings of pseudoconvex domains | Inventiones Mathematicae | 1974 | 547 |
| 10 | A bilinear estimate with applications to the KdV equation | Journal of the American Mathematical Society | 1996 | 532 |
| 11 | The fixed point theory of multi-valued mappings in topological vector spaces | Mathematische Annalen | 1968 | 529 |
| 12 | Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrödinger equation in the radial case | Inventiones Mathematicae | 2006 | 519 |
| 13 | Algorithmic Randomness and Complexity | Theory and Applications of Computability | 2010 | 505 |
| 14 | Evolution equations possessing infinitely many symmetries | Journal of Mathematical Physics | 1977 | 499 |
| 15 | CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS | Proceedings of the National Academy of Sciences of the United States of America | 1962 | 389 |
| 16 | Regularity theory for fully nonlinear integro‐differential equations | Communications on Pure and Applied Mathematics | 2009 | 388 |
| 17 | Convergence of approximants to fixed points of nonexpansive nonlinear mappings in banach spaces | Archive for Rational Mechanics and Analysis | 1967 | 372 |
| 18 | Onsager's conjecture on the energy conservation for solutions of Euler's equation | Communications in Mathematical Physics | 1994 | 365 |
| 19 | Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism | Inventiones Mathematicae | 2002 | 358 |
| 20 | Geometric visual hallucinations, Euclidean symmetry and the functional architecture of striate cortex | Philosophical Transactions of the Royal Society B: Biological Sciences | 2001 | 335 |
| 21 | FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE | Proceedings of the National Academy of Sciences of the United States of America | 1965 | 323 |
| 22 | Equivariant cohomology, Koszul duality, and the localization theorem | Inventiones Mathematicae | 1997 | 323 |
| 23 | PEERS: A new mixed finite element for plane elasticity | Japan Journal of Industrial and Applied Mathematics | 1984 | 314 |
| 24 | Finding the Homology of Submanifolds with High Confidence from Random Samples | Discrete and Computational Geometry | 2008 | 307 |
| 25 | Cauchy integrals on Lipschitz curves and related operators | Proceedings of the National Academy of Sciences of the United States of America | 1977 | 301 |
| 26 | Mathematics Form and Function | | 1986 | 297 |
| 27 | COMMUTATORS OF SINGULAR INTEGRAL OPERATORS | Proceedings of the National Academy of Sciences of the United States of America | 1965 | 292 |
| 28 | Nonlinear mappings of monotone type in Banach spaces | Journal of Functional Analysis | 1972 | 273 |
| 29 | Model Categories of Diagram Spectra | Proceedings of the London Mathematical Society | 2001 | 262 |
| 30 | The Calderón problem with partial data | Annals of Mathematics | 2007 | 254 |
| 31 | Approximate selections, best approximations, fixed points, and invariant sets | Journal of Mathematical Analysis and Applications | 1978 | 251 |
| 32 | A Class of Bounded Pseudo-Differential Operators | Proceedings of the National Academy of Sciences of the United States of America | 1972 | 236 |
| 33 | Diffusion vs Cross-Diffusion: An Elliptic Approach | Journal of Differential Equations | 1999 | 227 |
| 34 | What Matters in Neuronal Locking? | Neural Computation | 1996 | 224 |
| 35 | Nonlinear maximal monotone operators in Banach space | Mathematische Annalen | 1968 | 220 |
| 36 | Groups of cohomological dimension one | Journal of Algebra | 1969 | 216 |
| 37 | DG quotients of DG categories | Journal of Algebra | 2004 | 205 |
| 38 | Isocrystals with additional structure. II | Compositio Mathematica | 1997 | 203 |
| 39 | On braided fusion categories I | Selecta Mathematica, New Series | 2010 | 202 |
| 40 | A note on spherical summation multipliers | Israel Journal of Mathematics | 1973 | 193 |
| 41 | An evaluation of a model equation for water waves | Philosophical Transactions of the Royal Society A | 1981 | 192 |
| 42 | Energy dissipation in shear driven turbulence | Physical Review Letters | 1992 | 192 |
| 43 | Computability and Recursion | Bulletin of Symbolic Logic | 1996 | 190 |
| 44 | Nonlinear maximum principles for dissipative linear nonlocal operators and applications | Geometric and Functional Analysis | 2012 | 187 |
| 45 | On seminormality | Journal of Algebra | 1980 | 185 |
| 46 | What Geometric Visual Hallucinations Tell Us about the Visual Cortex | Neural Computation | 2002 | 181 |
| 47 | On localization in the continuous Anderson-Bernoulli model in higher dimension | Inventiones Mathematicae | 2005 | 179 |
| 48 | Volatility Derivatives | Annual Review of Financial Economics | 2009 | 177 |
| 49 | The scalar curvature equation on 2- and 3-spheres | Calculus of Variations and Partial Differential Equations | 1993 | 176 |
| 50 | Global regularity for vortex patches | Communications in Mathematical Physics | 1993 | 171 |
