Topic · Advanced Algebra and Geometry
Most cited papers in Advanced Algebra and Geometry
What are the most cited papers in Advanced Algebra and Geometry?
The most cited paper in Advanced Algebra and Geometry is "Partial differential equations of parabolic type" (John S. Maybee, 1965), with 3,305 citations. Next come "Algebraic number theory" (2,174) and "Seiberg-Witten Prepotential from Instanton Counting" (1,918).
Showing 50 of 99 papers. Every paper with more than 484 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Partial differential equations of parabolic type John S. Maybee · Journal of the Franklin Institute | Jun 1965 | 3,305 |
| 2 | Algebraic number theory Kazuya Katô, Nobushige Kurokawa, Takeshi Saito · Translations of mathematical monographs | 22 Nov 1999 | 2,174 |
| 3 | Seiberg-Witten Prepotential from Instanton Counting Nikita Alexandrovich Nekrasov · Advances in Theoretical and Mathematical Physics | 2003 | 1,918 |
| 4 | Level-spacing distributions and the Airy kernel Craig A. Tracy, Harold Widom · Communications in Mathematical Physics | 1994 | 1,917 |
| 5 | Phases of N = 2 theories in two dimensions Edward H. Witten · Nuclear Physics B | Aug 1993 | 1,811 |
| 6 | Representations of Coxeter groups and Hecke algebras David Kazhdan, G. Lusztig · Inventiones mathematicae | Jun 1979 | 1,739 |
| 7 | Compact matrix pseudogroups Stanisław Lech Woronowicz · Communications in Mathematical Physics | Dec 1987 | 1,700 |
| 8 | Liouville Correlation Functions from Four-Dimensional Gauge Theories Luis Fernando Alday, Davide Gaiotto, Yuji Tachikawa · Letters in Mathematical Physics | 21 Jan 2010 | 1,564 |
| 9 | Self-duality in four-dimensional Riemannian geometry Michael Francis Atiyah, Nigel James Hitchin, I. M. Singer · Proceedings of the Royal Society of London A Mathematical and Physical Sciences | 12 Sep 1978 | 1,506 |
| 10 | Existence of minimal models for varieties of log general type Caucher Birkar, Paolo Cascini, Christopher D. Hacon et al. · Journal of the American Mathematical Society | 13 Nov 2009 | 1,375 |
| 11 | Statistical Ensembles of Complex, Quaternion, and Real Matrices J. Ginibre · Journal of Mathematical Physics | Mar 1965 | 1,115 |
| 12 | Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles Simon K Donaldson · Proceedings of the London Mathematical Society | 1985 | 1,107 |
| 13 | Higgs bundles and local systems Carlos Simpson · Publications mathématiques de l IHÉS | 7 Dec 1992 | 1,081 |
| 14 | Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices Jinho Baik, Gérard Ben Arous, Sandrine Péché · The Annals of Probability | Sep 2005 | 1,030 |
| 15 | Seiberg-Witten Theory and Random Partitions Nikita Alexandrovich Nekrasov, Andreĭ Okounkov · Birkhäuser Boston eBooks | 30 May 2007 | 1,000 |
| 16 | Harmonic Analysis and Discontinuous Groups in Weakly Symmetric Riemannian Spaces With Applications to Dirichlet Series Atle Selberg · Journal of the Indian Mathematical Society | Sep 1956 | 996 |
| 17 | Heegner points and derivatives ofL-series Benedict H. Gross, Don Bernard Zagier · Inventiones mathematicae | Jun 1986 | 979 |
| 18 | Electric-magnetic duality and the geometric Langlands program Anton Kapustin, Edward H. Witten · Communications in Number Theory and Physics | 2007 | 974 |
| 19 | Moduli of representations of the fundamental group of a smooth projective variety II Carlos Simpson · Publications mathématiques de l IHÉS | 7 Dec 1994 | 944 |
| 20 | La conjecture de Weil : II Pierre Deligne · Publications mathématiques de l IHÉS | 7 Dec 1980 | 939 |
| 21 | Yang-Baxter equation and representation theory: I Petr Petrovich Kulish, Nicolai Reshetikhin, Evgeny Konstantinovich Sklyanin · Letters in Mathematical Physics | Sep 1981 | 906 |
| 22 | Variation of hodge structure: The singularities of the period mapping Wilfried Schmid · Inventiones mathematicae | Sep 1973 | 887 |
| 23 | Common structures between finite systems and conformal field theories through quantum groups Vincent Pasquier, Hubert Saleur · Nuclear Physics B | 1990 | 869 |
| 24 | Twisted $\textit{SU}(2)$ Group. An Example of a Non-Commutative Differential Calculus Stanisław Lech Woronowicz · Publications of the Research Institute for Mathematical Sciences | 28 Feb 1987 | 852 |
| 25 | Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory Percy A. Deift, T. Kriecherbauer, K. T-R McLaughlin et al. · Communications on Pure and Applied Mathematics | Nov 1999 | 852 |
| 26 | On quantum gauge theories in two dimensions Edward H. Witten · Communications in Mathematical Physics | Oct 1991 | 838 |
| 27 | MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS Alastair D. King · The Quarterly Journal of Mathematics | 1994 | 830 |
| 28 | Conjugate Gradient Methods for Toeplitz Systems Raymond Hon-Fu Chan, Michael K. Ng · SIAM Review | Sep 1996 | 815 |
| 29 | Invariants of algebraic curves and topological expansion Benoît Eynard, Nicolas Orantin · Communications in Number Theory and Physics | 2007 | 802 |
| 30 | On the variation in the cohomology of the symplectic form of the reduced phase space J. J. Duistermaat, Gerrit Heckman · Inventiones mathematicae | Jun 1982 | 791 |
| 31 | Unitary representations of some infinite dimensional groups Graeme B. Segal · Communications in Mathematical Physics | Sep 1981 | 787 |
| 32 | Stochastic Analysis of the Fractional Brownian Motion Laurent Decreusefond, Ali Süleyman Üstünel · Potential Analysis | Mar 1999 | 781 |
| 33 | The symplectic nature of fundamental groups of surfaces William M. Goldman · Advances in Mathematics | Nov 1984 | 773 |
| 34 | Random Matrix Theory and ζ(1/2+ it) Jonathan P. Keating, N. C. Snaith · Communications in Mathematical Physics | Oct 2000 | 769 |
| 35 | Finite groups of Lie type Meinolf Geck · Cambridge University Press eBooks | 3 Sep 1998 | 746 |
| 36 | On Orthogonal and Symplectic Matrix Ensembles Craig A. Tracy, Harold Widom | 17 Sep 1995 | 738 |
| 37 | On the Empirical Distribution of Eigenvalues of a Class of Large Dimensional Random Matrices Jack W. Silverstein, Zhidong Bai · Journal of Multivariate Analysis | Aug 1995 | 737 |
| 38 | Smoothness, semi-stability and alterations Aise Johan de Jong · Publications mathématiques de l IHÉS | 7 Dec 1996 | 727 |
| 39 | The Euler characteristic of the moduli space of curves John Harer, Don Bernard Zagier · Inventiones mathematicae | Oct 1986 | 722 |
| 40 | Functoriality for the exterior square of GL₄ and the symmetric fourth of GL₂ Henry Kim · Journal of the American Mathematical Society | 30 Oct 2002 | 710 |
| 41 | Regular elements of semi-simple algebraic groups Robert Steinberg · Publications mathématiques de l IHÉS | 7 Dec 1965 | 709 |
| 42 | Infinite-dimensional Lie algebras, theta functions and modular forms Victor Gershevich Kac, Dale H. Peterson · Advances in Mathematics | Aug 1984 | 705 |
| 43 | Endomorphisms of abelian varieties over finite fields John Tate · Inventiones mathematicae | Apr 1966 | 703 |
| 44 | Hecke operators on ?0(m) A. O. L. Atkin, Joseph Lehner · Mathematische Annalen | Jun 1970 | 696 |
| 45 | Towards an Enumerative Geometry of the Moduli Space of Curves David B. Mumford · Birkhäuser Boston eBooks | 1983 | 694 |
| 46 | Wall-crossing, Hitchin systems, and the WKB approximation Davide Gaiotto, Gregory W. Moore, Andrew Neitzke · Advances in Mathematics | Dec 2012 | 688 |
| 47 | The eigenvalues of random symmetric matrices Zoltán Füredi, János Komlós · COMBINATORICA | Sep 1981 | 678 |
| 48 | METHODOLOGIES IN SPECTRAL ANALYSIS OF LARGE DIMENSIONAL RANDOM MATRICES, A REVIEW Zhidong Bai · Advances in Statistics | Feb 2008 | 676 |
| 49 | Integration with Respect to the Haar Measure on Unitary, Orthogonal and Symplectic Group Benoı̂t Collins, Piotr Śniady · Communications in Mathematical Physics | 22 Mar 2006 | 676 |
| 50 | The Threefold Way. Algebraic Structure of Symmetry Groups and Ensembles in Quantum Mechanics Freeman J. Dyson · Journal of Mathematical Physics | Nov 1962 | 675 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.