Source ledger
References
918 bibliography records ground the catalog in original papers, established surveys and monographs, institutional problem lists, and formal-proof archives.
Complete bibliography
918 records
- Wiles2006BSDOpen source ↗
The Birch and Swinnerton-Dyer conjecture
Andrew Wiles · 2006 · misc
Andrew Wiles, “The Birch and Swinnerton-Dyer conjecture,” in The Millennium Prize Problems (2006), pp. 31–44, https://www.claymath.org/wp-content/uploads/2022/05/birchswin.pdf
- Wilkie1996ModelCompleteOpen source ↗
Model completeness results for expansions of the ordered field of real numbers by restricted Pfaffian functions and the exponential function
A. J. Wilkie · 1996 · misc
A. J. Wilkie, “Model completeness results for expansions of the ordered field of real numbers by restricted Pfaffian functions and the exponential function,” Journal of the AMS 9 (1996), 1051–1094, DOI: 10.1090/S0894-0347-96-00216-0.
- Woodin2010SuitableOpen source ↗
Suitable extender models I
W. Hugh Woodin · 2010 · misc
W. Hugh Woodin, “Suitable extender models I,” Journal of Mathematical Logic 10 (2010), 101–339, DOI: 10.1142/S021906131000095X.
- WoodinDavisRodriguez2017Open source ↗
The HOD dichotomy
W. Hugh Woodin, Jacob Davis, and Daniel Rodríguez · 2017 · misc
W. Hugh Woodin, Jacob Davis, and Daniel Rodríguez, “The HOD dichotomy,” Archive for Mathematical Logic 56 (2017), 541–567, DOI: 10.1007/s00153-017-0537-x, arXiv:1605.00613.
- Xie2026BombieriLangOpen source ↗
Recent progress on the geometric Bombieri–Lang conjecture
Junyi Xie · 2026 · misc
Junyi Xie, “Recent progress on the geometric Bombieri–Lang conjecture,” arXiv:2607.02165 (2026), https://arxiv.org/abs/2607.02165
- Yoshinaga2014FreenessOpen source ↗
Freeness of hyperplane arrangements and related topics
Masahiko Yoshinaga · 2014 · misc
Masahiko Yoshinaga, “Freeness of hyperplane arrangements and related topics,” Annales de la Faculté des Sciences de Toulouse 23 (2014), 483–512, DOI: 10.5802/afst.1413.
- Zhang2014BoundedGapsOpen source ↗
Bounded gaps between primes
Yitang Zhang · 2014 · misc
Yitang Zhang, “Bounded gaps between primes,” Annals of Mathematics 179 (2014), 1121–1174, DOI: 10.4007/annals.2014.179.3.7.
- Zilber2002ExponentialOpen source ↗
Exponential sums equations and the Schanuel conjecture
Boris Zilber · 2002 · misc
Boris Zilber, “Exponential sums equations and the Schanuel conjecture,” Journal of the London Mathematical Society 65 (2002), 27–44, DOI: 10.1112/S0024610701002861.
- ZimmermannHuisgen1992Open source ↗
The finitistic dimension conjectures—a tale of decades
Birge Zimmermann-Huisgen · 1995 · misc
Birge Zimmermann-Huisgen, “The finitistic dimension conjectures—a tale of decades,” in Abelian Groups and Modules, Kluwer (1995), 501–517, DOI: 10.1007/978-94-011-0111-3_29.
- Zudilin2009EulerOpen source ↗
An essay on irrationality measures of and other logarithms
Wadim Zudilin · 2004 · misc
Wadim Zudilin, “An essay on irrationality measures of and other logarithms,” Chebyshevskii Sbornik (2004); status discussion via arXiv:math/0404523, https://arxiv.org/abs/math/0404523
- Arthur2003FunctorialityOpen source ↗
The principle of functoriality
James Arthur · 2003 · misc
James Arthur, “The principle of functoriality,” Bulletin of the American Mathematical Society 40 (2003), 39–53, DOI: 10.1090/S0273-0979-02-00963-1.
- BakkerTsimerman2025PeriodsOpen source ↗
Functional transcendence of periods and the geometric André–Grothendieck period conjecture
Benjamin Bakker and Jacob Tsimerman · 2025 · misc
Benjamin Bakker and Jacob Tsimerman, “Functional transcendence of periods and the geometric André–Grothendieck period conjecture,” Forum of Mathematics, Sigma 13 (2025), e97, DOI: 10.1017/fms.2025.10036.
- Bloch1980AlgebraicCyclesOpen source ↗
Lectures on Algebraic Cycles
Spencer Bloch · 1980 · misc
Spencer Bloch, Lectures on Algebraic Cycles, Duke University Mathematics Series IV, Duke University (1980); second edition, Cambridge University Press (2010), DOI: 10.1017/CBO9780511760723.
- BlochKato1990TamagawaOpen source ↗
-functions and Tamagawa numbers of motives
Spencer Bloch and Kazuya Kato · 1990 · misc
Spencer Bloch and Kazuya Kato, “-functions and Tamagawa numbers of motives,” in The Grothendieck Festschrift I, Progress in Mathematics 86, Birkhäuser (1990), 333–400, https://math.stanford.edu/~conrad/BSDseminar/refs/BKTamagawa.pdf
- BostCharles2016PeriodsOpen source ↗
Some remarks concerning the Grothendieck period conjecture
Jean-Benoît Bost and François Charles · 2016 · misc
Jean-Benoît Bost and François Charles, “Some remarks concerning the Grothendieck period conjecture,” Journal für die reine und angewandte Mathematik 714 (2016), 175–208, DOI: 10.1515/crelle-2014-0025.
- BurnsFlach2001ETNCOpen source ↗
Tamagawa numbers for motives with (non-commutative) coefficients
David Burns and Matthias Flach · 2001 · misc
David Burns and Matthias Flach, “Tamagawa numbers for motives with (non-commutative) coefficients,” Documenta Mathematica 6 (2001), 501–570, DOI: 10.4171/DM/113.
- BurnsMaciasSeo2024RefinedStarkOpen source ↗
On refined Stark conjectures in arbitrary characteristic
David Burns and Daniel Macias Castillo and Soogil Seo · 2024 · misc
David Burns, Daniel Macias Castillo, and Soogil Seo, “On refined Stark conjectures in arbitrary characteristic,” Transactions of the American Mathematical Society 377 (2024), 7337–7375, DOI: 10.1090/tran/9214.
- CantoralFarfan2017MumfordTateSurveyOpen source ↗
A survey around the Hodge, Tate and Mumford–Tate conjectures for abelian varieties
Victoria Cantoral Farfán · 2017 · misc
Victoria Cantoral Farfán, “A survey around the Hodge, Tate and Mumford–Tate conjectures for abelian varieties,” arXiv:1602.08354 (2017), https://arxiv.org/abs/1602.08354
- CohenLenstra1984ClassGroupsOpen source ↗
Heuristics on class groups of number fields
Henri Cohen and Hendrik W. Lenstra Jr. · 1984 · misc
Henri Cohen and Hendrik W. Lenstra Jr., “Heuristics on class groups of number fields,” in Number Theory, Noordwijkerhout 1983, Lecture Notes in Mathematics 1068, Springer (1984), 33–62, DOI: 10.1007/BFb0099440.
- CohenMartinet1990ClassGroupsOpen source ↗
Étude heuristique des groupes de classes des corps de nombres
Henri Cohen and Jacques Martinet · 1990 · misc
Henri Cohen and Jacques Martinet, “Étude heuristique des groupes de classes des corps de nombres,” Journal für die reine und angewandte Mathematik 404 (1990), 39–76, DOI: 10.1515/crll.1990.404.39.
- Commelin2019MumfordTateProductsOpen source ↗
The Mumford–Tate conjecture for products of abelian varieties
Johan Commelin · 2019 · misc
Johan Commelin, “The Mumford–Tate conjecture for products of abelian varieties,” Algebraic Geometry 6 (2019), 650–677, DOI: 10.14231/AG-2019-028.
- DasguptaKakde2024ExplicitClassFieldOpen source ↗
Brumer–Stark units and explicit class field theory
Samit Dasgupta and Mahesh Kakde · 2024 · misc
Samit Dasgupta and Mahesh Kakde, “Brumer–Stark units and explicit class field theory,” Duke Mathematical Journal 173 (2024), 1477–1555, DOI: 10.1215/00127094-2023-0039.
- Ellenberg2026CohenLenstraOpen source ↗
Recent progress around Cohen–Lenstra heuristics
Jordan S. Ellenberg · 2026 · misc
Jordan S. Ellenberg, “Recent progress around Cohen–Lenstra heuristics,” arXiv:2606.06024 (2026), https://arxiv.org/abs/2606.06024
- Flach2004ETNCSurveyOpen source ↗
The equivariant Tamagawa number conjecture: a survey
Matthias Flach · 2004 · misc
Matthias Flach, “The equivariant Tamagawa number conjecture: a survey,” in Stark's Conjectures: Recent Work and New Directions, Contemporary Mathematics 358, AMS (2004), DOI: 10.1090/conm/358/06537.
- FrankeManinTschinkel1989HeightsOpen source ↗
Rational points of bounded height on Fano varieties
Jens Franke and Yuri I. Manin and Yuri Tschinkel · 1989 · misc
Jens Franke, Yuri I. Manin, and Yuri Tschinkel, “Rational points of bounded height on Fano varieties,” Inventiones Mathematicae 95 (1989), 421–435, DOI: 10.1007/BF01393904.
- Grothendieck1966DeRhamOpen source ↗
On the de Rham cohomology of algebraic varieties
Alexander Grothendieck · 1966 · misc
Alexander Grothendieck, “On the de Rham cohomology of algebraic varieties,” Publications Mathématiques de l'IHÉS 29 (1966), 95–103, DOI: 10.1007/BF02684807.
- Hilbert1902ProblemsOpen source ↗
Mathematical Problems
David Hilbert · 1902 · misc
David Hilbert, “Mathematical Problems,” Bulletin of the American Mathematical Society 8 (1902), 437–479, DOI: 10.1090/S0002-9904-1902-00923-3.
- HuberMullerStach2017PeriodsOpen source ↗
Periods and Nori Motives
Annette Huber and Stefan Müller-Stach · 2017 · misc
Annette Huber and Stefan Müller-Stach, Periods and Nori Motives, Ergebnisse der Mathematik 65, Springer (2017), DOI: 10.1007/978-3-319-50926-6.
- Jannsen1994MotivicFiltrationOpen source ↗
Motivic sheaves and filtrations on Chow groups
Uwe Jannsen · 1994 · misc
Uwe Jannsen, “Motivic sheaves and filtrations on Chow groups,” in Motives, Proc. Sympos. Pure Math. 55.1, AMS (1994), 245–302, https://epub.uni-regensburg.de/26639/
- Kluners2005MalleCounterexampleOpen source ↗
A counterexample to Malle's conjecture on the asymptotics of discriminants
Jürgen Klüners · 2005 · misc
Jürgen Klüners, “A counterexample to Malle's conjecture on the asymptotics of discriminants,” Comptes Rendus Mathématique 340 (2005), 411–414, DOI: 10.1016/j.crma.2005.02.010.
- Langlands1970AutomorphicProblemsOpen source ↗
Problems in the theory of automorphic forms
Robert P. Langlands · 1970 · misc
Robert P. Langlands, “Problems in the theory of automorphic forms,” in Lectures in Modern Analysis and Applications III, Lecture Notes in Mathematics 170, Springer (1970), 18–61, https://publications.ias.edu/rpl/problems
- Langlands1976JugendtraumOpen source ↗
Some contemporary problems with origins in the Jugendtraum
Robert P. Langlands · 1976 · misc
Robert P. Langlands, “Some contemporary problems with origins in the Jugendtraum,” in Mathematical Developments Arising from Hilbert Problems, Proc. Sympos. Pure Math. 28, AMS (1976), 401–418, https://publications.ias.edu/node/78
- LehmannSenguptaTanimoto2022ManinOpen source ↗
Geometric consistency of Manin's conjecture
Brian Lehmann and Akash Kumar Sengupta and Sho Tanimoto · 2022 · misc
Brian Lehmann, Akash Kumar Sengupta, and Sho Tanimoto, “Geometric consistency of Manin's conjecture,” Compositio Mathematica 158 (2022), 1375–1427, DOI: 10.1112/S0010437X22007588.
- Malle2002DistributionOpen source ↗
On the distribution of Galois groups
Gunter Malle · 2002 · misc
Gunter Malle, “On the distribution of Galois groups,” Journal of Number Theory 92 (2002), 315–329, DOI: 10.1006/jnth.2001.2713.
- MollinWilliams1988PrimeValuesOpen source ↗
On prime valued polynomials and class numbers of real quadratic fields
R. A. Mollin and H. C. Williams · 1988 · misc
R. A. Mollin and H. C. Williams, “On prime valued polynomials and class numbers of real quadratic fields,” Nagoya Mathematical Journal 112 (1988), 143–151, DOI: 10.1017/S0027763000001185.
- MollinWilliams1990ClassNumberOpen source ↗
Class number problems for real quadratic fields
R. A. Mollin and H. C. Williams · 1990 · misc
R. A. Mollin and H. C. Williams, “Class number problems for real quadratic fields,” in Number Theory and Cryptography, London Mathematical Society Lecture Note Series, Cambridge University Press (1990), 177–195, DOI: 10.1017/CBO9781107325838.017.
- Murre1993ChowFiltrationOpen source ↗
On a conjectural filtration on the Chow groups of an algebraic variety. I
Jacob P. Murre · 1993 · misc
Jacob P. Murre, “On a conjectural filtration on the Chow groups of an algebraic variety. I,” Indagationes Mathematicae 4 (1993), 177–188, DOI: 10.1016/0019-3577(93)90038-Z.
- Ngo2020HankelFunctorialityOpen source ↗
Hankel transform, Langlands functoriality and functional equation of automorphic -functions
Ngô Bảo Châu · 2020 · misc
Ngô Bảo Châu, “Hankel transform, Langlands functoriality and functional equation of automorphic -functions,” Japanese Journal of Mathematics 15 (2020), 121–167, https://www.ms.u-tokyo.ac.jp/~toshi/jjm/JJM_HP/contents/abstract/15-1/JJM1650.html
- Peyre1995HeightsTamagawaOpen source ↗
Hauteurs et mesures de Tamagawa sur les variétés de Fano
Emmanuel Peyre · 1995 · misc
Emmanuel Peyre, “Hauteurs et mesures de Tamagawa sur les variétés de Fano,” Duke Mathematical Journal 79 (1995), 101–218, DOI: 10.1215/S0012-7094-95-07904-6.
- Pink1998MumfordTateOpen source ↗
-adic algebraic monodromy groups, cocharacters, and the Mumford–Tate conjecture
Richard Pink · 1998 · misc
Richard Pink, “-adic algebraic monodromy groups, cocharacters, and the Mumford–Tate conjecture,” Journal für die reine und angewandte Mathematik 495 (1998), 187–237, DOI: 10.1515/crll.1998.018.
- Stark1975ArtinOpen source ↗
-functions at . II. Artin -functions with rational characters
Harold M. Stark · 1975 · misc
Harold M. Stark, “-functions at . II. Artin -functions with rational characters,” Advances in Mathematics 17 (1975), 60–92, DOI: 10.1016/0001-8708(75)90087-0.
- Stark1980DerivativesOpen source ↗
-functions at . IV. First derivatives at
Harold M. Stark · 1980 · misc
Harold M. Stark, “-functions at . IV. First derivatives at ,” Advances in Mathematics 35 (1980), 197–235, DOI: 10.1016/0001-8708(80)90049-3.
- Tate1984StarkOpen source ↗
Les conjectures de Stark sur les fonctions d'Artin en
John Tate · 1984 · misc
John Tate, Les conjectures de Stark sur les fonctions d'Artin en , Progress in Mathematics 47, Birkhäuser (1984), ISBN 978-0-8176-3188-8, https://link.springer.com/book/9780817631888
- Wang2025MalleCorrectionOpen source ↗
Counterexamples for Türkelli's modification of Malle's conjecture
Jiuya Wang · 2025 · misc
Jiuya Wang, “Counterexamples for Türkelli's modification of Malle's conjecture,” arXiv:2502.04261 (2025), https://arxiv.org/abs/2502.04261
- Wood2022RandomGroupsOpen source ↗
Probability theory for random groups arising in number theory
Melanie Matchett Wood · 2022 · misc
Melanie Matchett Wood, “Probability theory for random groups arising in number theory,” in Proceedings of the International Congress of Mathematicians 2022 (2022), DOI: 10.4171/ICM2022/145.
- SlamanWoodin1986DefinabilityOpen source ↗
Definability in the Turing degrees
Theodore A. Slaman and W. Hugh Woodin · 1986 · misc
Theodore A. Slaman and W. Hugh Woodin, “Definability in the Turing degrees,” Illinois Journal of Mathematics 30 (1986), 320–334, DOI: 10.1215/ijm/1256044641.
- ShoreSlaman1999TuringJumpOpen source ↗
Defining the Turing jump
Richard A. Shore and Theodore A. Slaman · 1999 · misc
Richard A. Shore and Theodore A. Slaman, “Defining the Turing jump,” Mathematical Research Letters 6 (1999), 711–722, DOI: 10.4310/MRL.1999.v6.n6.a10.
- KjosHanssen2018PermutationsOpen source ↗
Permutations of the integers induce only the trivial automorphism of the Turing degrees
Bjørn Kjos-Hanssen · 2018 · misc
Bjørn Kjos-Hanssen, “Permutations of the integers induce only the trivial automorphism of the Turing degrees,” Bulletin of Symbolic Logic 24 (2018), 165–174, DOI: 10.1017/bsl.2018.15.