Topic · Algebraic Geometry and Number Theory

Most cited papers in Algebraic Geometry and Number Theory

Algebraic Geometry and Number Theory

What are the most cited papers in Algebraic Geometry and Number Theory?

The most cited paper in Algebraic Geometry and Number Theory is "Identity-Based Encryption from the Weil Pairing" (Dan Boneh, Matthew K. Franklin, 2003), with 3,570 citations. Next come "Partial differential equations of parabolic type" (3,305) and "La conjecture de Weil : I" (2,515).

Published TypeAccessCitations

Showing 50 of 100 papers. Every paper with more than 482 citations is listed.

Most cited papers, sortable by citations and release date
#	Paper
1	Identity-Based Encryption from the Weil Pairing Dan Boneh, Matthew K. Franklin · SIAM Journal on Computing	2003	3,570
2	Partial differential equations of parabolic type John S. Maybee · Journal of the Franklin Institute	Jun 1965	3,305
3	La conjecture de Weil : I Pierre Deligne · Publications mathématiques de l IHÉS	7 Dec 1974	2,515
4	On the ricci curvature of a compact kähler manifold and the complex monge‐ampére equation, I Shing–Tung Yau · Communications on Pure and Applied Mathematics	May 1978	2,475
5	Introduction: Motivation Chris Wendl · Cambridge University Press eBooks Book chapter	6 Mar 2020	2,273
6	Algebraic number theory Kazuya Katô, Nobushige Kurokawa, Takeshi Saito · Translations of mathematical monographs Book chapter	22 Nov 1999	2,174
7	The Yang-Mills equations over Riemann surfaces Michael Francis Atiyah, Raoul Bott · Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences	17 Mar 1983	2,033
8	The Self-Duality Equations on a Riemann Surface Nigel James Hitchin · Proceedings of the London Mathematical Society	Jul 1987	1,788
9	Liouville Correlation Functions from Four-Dimensional Gauge Theories Luis Fernando Alday, Davide Gaiotto, Yuji Tachikawa · Letters in Mathematical Physics Open access	21 Jan 2010	1,564
10	A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory Philip Candelas, Xenia C. de la Ossa, Paul S. Green et al. · Nuclear Physics B	Jul 1991	1,489
11	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 Open access	13 Nov 2009	1,375
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	Some mathematical questions related to the mhd equations Michel Sermange, Roger Témam · Communications on Pure and Applied Mathematics	Sep 1983	1,102
14	Loop groups and equations of KdV type Graeme B. Segal, George V. Wilson · Publications mathématiques de l IHÉS Open access	7 Dec 1985	1,088
15	Higgs bundles and local systems Carlos Simpson · Publications mathématiques de l IHÉS	7 Dec 1992	1,081
16	Propri�t�s galoisiennes des points d'ordre fini des courbes elliptiques Jean-Pierre Serre · Inventiones mathematicae	Dec 1971	1,006
17	Endlichkeitss�tze f�r abelsche Variet�ten �ber Zahlk�rpern Герд Фалтингс · Inventiones mathematicae	Oct 1983	982
18	Heegner points and derivatives ofL-series Benedict H. Gross, Don Bernard Zagier · Inventiones mathematicae	Jun 1986	979
19	On the existence of hermitian-yang-mills connections in stable vector bundles Karen Uhlenbeck, Shing–Tung Yau · Communications on Pure and Applied Mathematics	1986	952
20	Vector Bundles Over an Elliptic Curve Michael Francis Atiyah · Proceedings of the London Mathematical Society	1957	948
21	Moduli of representations of the fundamental group of a smooth projective variety II Carlos Simpson · Publications mathématiques de l IHÉS	7 Dec 1994	944
22	La conjecture de Weil : II Pierre Deligne · Publications mathématiques de l IHÉS	7 Dec 1980	939
23	J-holomorphic curves and symplectic topology Dusa McDuff, Dietmar Arno Salamon	2004	933
24	Gromov-Witten classes, quantum cohomology, and enumerative geometry Maxim L'vovich Kontsevich, Yu. I. Manin Preprint	1994	917
25	Variation of hodge structure: The singularities of the period mapping Wilfried Schmid · Inventiones mathematicae	Sep 1973	887
26	A 1 -homotopy theory of schemes Fabien Morel, Vladimir Voevodsky · Publications mathématiques de l IHÉS	7 Dec 1999	865
27	Solving Systems of Polynomial Equations Bernd Sturmfels · Regional conference series in mathematics Conference paper	12 Sep 2002	856
28	Efficient Identity Based Signature Schemes Based on Pairings Florian Heß · Lecture notes in computer science Conference paper	2003	848
29	Higher Algebraic K-Theory of Schemes and of Derived Categories R. W. Thomason, Thomas Trobaugh · Birkhäuser Boston eBooks Book chapter	20 Oct 2007	812
30	Calabi's conjecture and some new results in algebraic geometry Shing–Tung Yau · Proceedings of the National Academy of Sciences Open access	May 1977	805
31	Invariants of algebraic curves and topological expansion Benoît Eynard, Nicolas Orantin · Communications in Number Theory and Physics Open access	2007	802
32	Real homotopy theory of K�hler manifolds Pierre Deligne, Phillip Griffiths, John S. Morgan et al. · Inventiones mathematicae	Oct 1975	797
33	On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises Christophe Breuil, Brian Conrad, Fred Diamond et al. · Journal of the American Mathematical Society Open access	15 May 2001	791
34	Moduli spaces of local systems and higher Teichmüller theory V. V. Fock, A. B. Goncharov · Publications mathématiques de l IHÉS Open access	7 Jun 2006	780
35	The symplectic nature of fundamental groups of surfaces William M. Goldman · Advances in Mathematics Open access	Nov 1984	773
36	Localization of virtual classes T.M. Graber, Rahul Pandharipande · Inventiones mathematicae	15 Jan 1999	743
37	Compactifications of F-theory on Calabi-Yau threefolds. (I) David R. Morrison, Cumrun Vafa · Nuclear Physics B Open access	Aug 1996	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	The invariant theory of n × n matrices Claudio Procesi · Advances in Mathematics Open access	Mar 1976	720
41	Mirror symmetry is T-duality Andrew Strominger, Shing-Tung Yau, Eric Zaslow · Nuclear Physics B Open access	Nov 1996	713
42	Functoriality for the exterior square of GL₄ and the symmetric fourth of GL₂ Henry Kim · Journal of the American Mathematical Society Open access	30 Oct 2002	710
43	Endomorphisms of abelian varieties over finite fields John Tate · Inventiones mathematicae	Apr 1966	703
44	Towards an Enumerative Geometry of the Moduli Space of Curves David B. Mumford · Birkhäuser Boston eBooks Book chapter	1983	694
45	Generators and Representability of Functors in Commutative and Noncommutative Geometry Alexey Bondal, Michel Van den Bergh · Moscow Mathematical Journal	2003	689
46	Rational isogenies of prime degree Barry Mazur, Dorian M. Goldfeld · Inventiones mathematicae	Jun 1978	688
47	The Diophantine Equation 8x + py = z2 Qi Lan, Xiaoxue Li · The Scientific World JOURNAL Open access	2015	672
48	Symplectic structure of the moduli space of sheaves on an abelian or K3 surface Shigeru Mukai · Inventiones mathematicae	Feb 1984	668
49	Some Theorems on Actions of Algebraic Groups A. Bialynicki-Birula · Annals of Mathematics	Nov 1973	666
50	Rational singularities with applications to algebraic surfaces and unique factorization Joseph D. Lipman · Publications mathématiques de l IHÉS	7 Jan 1969	657

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.