Fields · Physical Sciences · Mathematics · Geometry and Topology

Algebraic Geometry and Number Theory

This cluster of papers covers a wide range of topics in algebraic geometry and moduli theory, including Gromov-Witten theory, log canonical singularities, motivic cohomology, minimal models, tropical geometry, intersection theory, symplectic geometry, birational geometry, and diophantine equations.

114,093 works

Papers listed on taxonomy pages are the top few works per node from the OpenAlex snapshot. That list is not exhaustive and is not an endorsement. The topic map and the journal registry remain separate: there is still no authoritative topic-to-venue or topic-to-organization edge. Search is a lexical lookup, not a claim that a venue publishes a topic.

Most cited

  1. La conjecture de Weil : I

    Pierre Deligne · 1974 · Publications mathématiques de l IHÉS · 2,504 citations

  2. Modular Elliptic Curves and Fermat's Last Theorem

    Andrew Wiles · 1995 · Annals of Mathematics · 2,104 citations

  3. The Yang-Mills equations over Riemann surfaces

    Michael Atiyah, Raoul Bott · 1983 · Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences · 2,032 citations

  4. Existence of minimal models for varieties of log general type

    Caucher Birkar, Paolo Cascini, Christopher D. Hacon, James M textupc Kernan · 2009 · Journal of the American Mathematical Society · 1,369 citations

  5. Théorie de Hodge : III

    Pierre Deligne · 1974 · Publications mathématiques de l IHÉS · 1,211 citations

  6. Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles

    Simon Donaldson · 1985 · Proceedings of the London Mathematical Society · 1,107 citations

Most recent

  1. Peskine Sixfolds and Debarre–Voisin Fourfolds With Associated Cubic Fourfolds

    Corey Brooke, Laure Flapan, Sarah Frei, Lisa Marquand · 2026 · Mathematische Nachrichten · 0 citations

  2. On The Structure Of Prime-Detecting Quasimodular Forms In Higher Levels

    Yeong-Wook Kwon, Y. P. Lee · 2026 · International Journal of Number Theory · 0 citations

  3. Elementary characterization of the Galois groups of x 12 + ax 6 + b

    Malcolm Hoong Wai Chen · 2026 · Mathematica Slovaca · 0 citations

  4. Arc-wise analytic t-stratifications

    Pablo Cubides Kovacsics, Immanuel Halupczok · 2026 · Advances in Mathematics · 0 citations

  5. Infinitesimal deformations of parabolic connections and parabolic opers

    Indranil Biswas, Sorin Dumitrescu, Sebastian Heller, Christian Pauly · 2026 · Mathematische Zeitschrift · 0 citations

  6. Peterson varieties and toric orbifolds associated to Cartan matrices

    Hiraku Abe, Haozhi Zeng · 2026 · Selecta Mathematica · 0 citations

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