Source ledger
References
837 bibliography records ground the catalog in original papers, established surveys and monographs, institutional problem lists, and formal-proof archives.
Complete bibliography
837 records
- AIMDefinability2019Open source ↗
Definability and decidability problems in number theory
American Institute of Mathematics · 2019 · misc
American Institute of Mathematics, “Definability and decidability problems in number theory” workshop and open-problem list (2019), https://aimath.org/pastworkshops/definedecide.html
- AddingtonThomas2014HodgeOpen source ↗
Hodge theory and derived categories of cubic fourfolds
Nicolas Addington and Richard Thomas · 2014 · misc
Nicolas Addington and Richard Thomas, “Hodge theory and derived categories of cubic fourfolds,” Duke Mathematical Journal 163 (2014), 1885–1927, DOI: 10.1215/00127094-2738639, arXiv:1211.3758.
- AguileraEtAl2025BeyondHODOpen source ↗
Large cardinals beyond HOD
Juan P. Aguilera, Joan Bagaria, Gabriel Goldberg, and Philipp Lücke · 2025 · misc
Juan P. Aguilera, Joan Bagaria, Gabriel Goldberg, and Philipp Lücke, “Large cardinals beyond HOD,” arXiv:2509.10254 (2025), https://arxiv.org/abs/2509.10254
- Alperin1987WeightsOpen source ↗
Weights for finite groups
J. L. Alperin · 1987 · misc
J. L. Alperin, “Weights for finite groups,” in The Arcata Conference on Representations of Finite Groups, Proc. Sympos. Pure Math. 47, part 1, AMS (1987), 369–379, DOI: 10.1090/pspum/047.1/933373.
- Andre2004MotivesOpen source ↗
Une introduction aux motifs
Yves André · 2004 · misc
Yves André, Une introduction aux motifs, Panoramas et Synthèses 17, Société Mathématique de France (2004), https://smf.emath.fr/publications/une-introduction-aux-motifs
- AndrewsCurtis1965Open source ↗
Free groups and handlebodies
J. J. Andrews and M. L. Curtis · 1965 · misc
J. J. Andrews and M. L. Curtis, “Free groups and handlebodies,” Proceedings of the AMS 16 (1965), 192–195, DOI: 10.2307/2033942.
- AngehrnSiu1995Open source ↗
Effective freeness and point separation for adjoint bundles
Urban Angehrn and Yum-Tong Siu · 1995 · misc
Urban Angehrn and Yum-Tong Siu, “Effective freeness and point separation for adjoint bundles,” Inventiones Mathematicae 122 (1995), 291–308, DOI: 10.1007/BF01231446.
- Artin1924LSeries
Über eine neue Art von L-Reihen
Emil Artin · 1924 · misc
Emil Artin, “Über eine neue Art von L-Reihen,” Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 (1924), 89–108.
- Artin1927Primitive
Artin’s primitive root conjecture—a survey
Emil Artin, correspondence to Helmut Hasse (27 September 1927), historical account in Pieter Moree · 1927 · misc
Emil Artin, correspondence to Helmut Hasse (27 September 1927), historical account in Pieter Moree, “Artin’s primitive root conjecture—a survey,” arXiv:math/0412262.
- Atiyah1976EllipticOpen source ↗
Elliptic operators, discrete groups and von Neumann algebras
Michael F. Atiyah · 1976 · misc
Michael F. Atiyah, “Elliptic operators, discrete groups and von Neumann algebras,” Astérisque 32–33 (1976), 43–72, http://www.numdam.org/item/AST_1976__32-33__43_0/
- AuslanderReiten1975Open source ↗
On a generalized version of the Nakayama conjecture
Maurice Auslander and Idun Reiten · 1975 · misc
Maurice Auslander and Idun Reiten, “On a generalized version of the Nakayama conjecture,” Proceedings of the AMS 52 (1975), 69–74, DOI: 10.2307/2040110.
- BCHM2010Open source ↗
Existence of minimal models for varieties of log general type
Caucher Birkar, Paolo Cascini, Christopher D. Hacon, and James McKernan · 2010 · misc
Caucher Birkar, Paolo Cascini, Christopher D. Hacon, and James McKernan, “Existence of minimal models for varieties of log general type,” Journal of the AMS 23 (2010), 405–468, DOI: 10.1090/S0894-0347-09-00649-3, arXiv:math/0610203.
- BakerHarmanPintz2001Open source ↗
The difference between consecutive primes, II
R. C. Baker, G. Harman, and J. Pintz · 2001 · misc
R. C. Baker, G. Harman, and J. Pintz, “The difference between consecutive primes, II,” Proceedings of the London Mathematical Society 83 (2001), 532–562, DOI: 10.1112/S0024611501012692.
- BarthVanDeVen1974Open source ↗
A decomposability criterion for algebraic -bundles on projective spaces
Wolf Barth and Antonius Van de Ven · 1974 · misc
Wolf Barth and Antonius Van de Ven, “A decomposability criterion for algebraic -bundles on projective spaces,” Inventiones Mathematicae 25 (1974), 91–106, DOI: 10.1007/BF01390090.
- Bass1960FinitisticOpen source ↗
Finitistic dimension and a homological generalization of semi-primary rings
Hyman Bass · 1960 · misc
Hyman Bass, “Finitistic dimension and a homological generalization of semi-primary rings,” Transactions of the AMS 95 (1960), 466–488, DOI: 10.2307/1993294.
- BassConnellWright1982Open source ↗
The Jacobian conjecture: reduction of degree and formal expansion of the inverse
Hyman Bass, Edwin H. Connell, and David Wright · 1982 · misc
Hyman Bass, Edwin H. Connell, and David Wright, “The Jacobian conjecture: reduction of degree and formal expansion of the inverse,” Bulletin of the AMS 7 (1982), 287–330, DOI: 10.1090/S0273-0979-1982-15032-7.
- BatemanHorn1962Open source ↗
A heuristic asymptotic formula concerning the distribution of prime numbers
Paul T. Bateman and Roger A. Horn · 1962 · misc
Paul T. Bateman and Roger A. Horn, “A heuristic asymptotic formula concerning the distribution of prime numbers,” Mathematics of Computation 16 (1962), 363–367, DOI: 10.2307/2004056.
- Bavula2009DixmierOpen source ↗
The Dixmier problem 6 for the Weyl algebra
V. V. Bavula · 2010 · misc
V. V. Bavula, “The Dixmier problem 6 for the Weyl algebra,” Inventiones Mathematicae 179 (2010), 1–32, DOI: 10.1007/s00222-009-0208-7.
- BealPrizeOfficialOpen source ↗
The Beal Conjecture
American Mathematical Society · 2026 · misc
American Mathematical Society, “The Beal Conjecture,” official prize description and standing open-problem page (accessed 2026), https://www.ams.org/profession/prizes-awards/ams-supported/beal-conjecture
- BelkEtAl2025SurveyOpen source ↗
Progress around the Boone–Higman conjecture
James Belk, Collin Bleak, Francesco Matucci, and Matthew C. B. Zaremsky · 2025 · misc
James Belk, Collin Bleak, Francesco Matucci, and Matthew C. B. Zaremsky, “Progress around the Boone–Higman conjecture,” EMS Surveys in Mathematical Sciences (2025), DOI: 10.4171/EMSS/101.
- BelkEtAl2026HyperbolicOpen source ↗
Hyperbolic groups satisfy the Boone–Higman conjecture
James Belk et al. · 2026 · misc
James Belk et al., “Hyperbolic groups satisfy the Boone–Higman conjecture,” Duke Mathematical Journal 175 (2026), 1519–1592, DOI: 10.1215/00127094-2025-0055.
- BelovKontsevich2007Open source ↗
The Jacobian conjecture is stably equivalent to the Dixmier conjecture
Alexei Belov-Kanel and Maxim Kontsevich · 2007 · misc
Alexei Belov-Kanel and Maxim Kontsevich, “The Jacobian conjecture is stably equivalent to the Dixmier conjecture,” Moscow Mathematical Journal 7 (2007), 209–218, DOI: 10.17323/1609-4514-2007-7-2-209-218, arXiv:math/0512171.
- BerarducciGallinaro2026RexpOpen source ↗
On the elementary theory of the real exponential field
Alessandro Berarducci and Francesco Gallinaro · 2026 · misc
Alessandro Berarducci and Francesco Gallinaro, “On the elementary theory of the real exponential field,” arXiv:2603.08365 (2026), https://arxiv.org/abs/2603.08365
- BirchSwinnertonDyer1965Open source ↗
Notes on elliptic curves. II
B. J. Birch and H. P. F. Swinnerton-Dyer · 1965 · misc
B. J. Birch and H. P. F. Swinnerton-Dyer, “Notes on elliptic curves. II,” Journal für die reine und angewandte Mathematik 218 (1965), 79–108, DOI: 10.1515/crll.1965.218.79.
- Birkar2012LogFlipsOpen source ↗
Existence of log canonical flips and a special LMMP
Caucher Birkar · 2012 · misc
Caucher Birkar, “Existence of log canonical flips and a special LMMP,” Publications Mathématiques de l’IHÉS 115 (2012), 325–368, DOI: 10.1007/s10240-012-0039-5, arXiv:1104.4981.
- Bloch1975K2Open source ↗
and algebraic cycles
Spencer Bloch · 1974 · misc
Spencer Bloch, “ and algebraic cycles,” Annals of Mathematics 99 (1974), 349–379, DOI: 10.2307/1970900.
- BlochKasLieberman1976Open source ↗
Zero cycles on surfaces with
Spencer Bloch, Arnold Kas, and David Lieberman · 1976 · misc
Spencer Bloch, Arnold Kas, and David Lieberman, “Zero cycles on surfaces with ,” Compositio Mathematica 33 (1976), 135–145, http://www.numdam.org/item/CM_1976__33_2_135_0/
- Bombieri2006RHOpen source ↗
The Riemann Hypothesis
Enrico Bombieri · 2006 · misc
Enrico Bombieri, “The Riemann Hypothesis,” in The Millennium Prize Problems, Clay Mathematics Institute/AMS (2006), pp. 107–124, ISBN 978-0-8218-3679-8, https://www.claymath.org/wp-content/uploads/2022/05/riemann.pdf
- BooneHigman1974Open source ↗
An algebraic characterization of groups with soluble word problem
William W. Boone and Graham Higman · 1974 · misc
William W. Boone and Graham Higman, “An algebraic characterization of groups with soluble word problem,” Journal of the Australian Mathematical Society 18 (1974), 41–53, DOI: 10.1017/S1446788700019098.
- BorovikNesin1994
Groups of Finite Morley Rank
Alexandre Borovik and Ali Nesin · 1994 · misc
Alexandre Borovik and Ali Nesin, Groups of Finite Morley Rank, Oxford Logic Guides 26 (1994), ISBN 978-0-19-853445-7.
- Bourgain2017ZetaOpen source ↗
Decoupling, exponential sums and the Riemann zeta function
Jean Bourgain · 2017 · misc
Jean Bourgain, “Decoupling, exponential sums and the Riemann zeta function,” Journal of the AMS 30 (2017), 205–224, DOI: 10.1090/jams/860, arXiv:1408.5794.
- BourgainWatt2017Open source ↗
Mean square of zeta function, circle problem and divisor problem revisited
Jean Bourgain and Nigel Watt · 2017 · misc
Jean Bourgain and Nigel Watt, “Mean square of zeta function, circle problem and divisor problem revisited,” arXiv:1709.04340 (2017), https://arxiv.org/abs/1709.04340
- Brauer1946BlocksOpen source ↗
On Blocks of Characters of Groups of Finite Order. II
Richard Brauer · 1946 · misc
Richard Brauer, “On Blocks of Characters of Groups of Finite Order. II,” Proceedings of the National Academy of Sciences 32 (1946), 215–219, DOI: 10.1073/pnas.32.8.215.
- Brauer1947ArtinLSeriesOpen source ↗
On Artin’s L-Series with General Group Characters
Richard Brauer · 1947 · misc
Richard Brauer, “On Artin’s L-Series with General Group Characters,” Annals of Mathematics 48 (1947), 502–514, DOI: 10.2307/1969183.
- Broue1990Open source ↗
Isométries parfaites, types de blocs, catégories dérivées
Michel Broué · 1990 · misc
Michel Broué, “Isométries parfaites, types de blocs, catégories dérivées,” Astérisque 181–182 (1990), 61–92, http://www.numdam.org/item/AST_1990__181-182__61_0/
- Brumer1967LeopoldtOpen source ↗
On the units of algebraic number fields
Armand Brumer · 1967 · misc
Armand Brumer, “On the units of algebraic number fields,” Mathematika 14 (1967), 121–124, DOI: 10.1112/S0025579300008068.
- BuhlerHarvey2011IrregularOpen source ↗
Irregular primes to 163 million
Joe Buhler and David Harvey · 2011 · misc
Joe Buhler and David Harvey, “Irregular primes to 163 million,” Mathematics of Computation 80 (2011), 2435–2444, DOI: 10.1090/S0025-5718-2011-02461-0, arXiv:0912.2121.
- BurnsMacedonska1993Open source ↗
Balanced presentations of the trivial group
Robert G. Burns and Olga Macedonska · 1993 · misc
Robert G. Burns and Olga Macedonska, “Balanced presentations of the trivial group,” Bulletin of the London Mathematical Society 25 (1993), 513–526, DOI: 10.1112/blms/25.6.513.
- CambridgeSRIM2026Open source ↗
CambridgeSRIM2026
2026 · misc
Cambridge Mathematics, 2026 SRIM description (contemporary status check: binary Goldbach remains open), https://www.maths.cam.ac.uk/opportunities/careers-for-mathematicians/summer-research-mathematics/2026-summer-research-maths-srim-projects
- CasselsSwinnertonDyer1955Open source ↗
On the product of three homogeneous linear forms and the indefinite ternary quadratic forms
J. W. S. Cassels and H. P. F. Swinnerton-Dyer · 1955 · misc
J. W. S. Cassels and H. P. F. Swinnerton-Dyer, “On the product of three homogeneous linear forms and the indefinite ternary quadratic forms,” Philosophical Transactions of the Royal Society A 248 (1955), 73–96, DOI: 10.1098/rsta.1955.0010.
- CeccheriniSilbersteinCoornaert2025Open source ↗
First-order model theory and Kaplansky’s stable finiteness conjecture for surjunctive groups
Tullio Ceccherini-Silberstein and Michel Coornaert · 2025 · misc
Tullio Ceccherini-Silberstein and Michel Coornaert, “First-order model theory and Kaplansky’s stable finiteness conjecture for surjunctive groups,” Groups, Geometry, and Dynamics 19 (2025), 495–503, DOI: 10.4171/GGD/790.
- Chen1973Goldbach
On the representation of a large even integer as the sum of a prime and the product of at most two primes
Jing-Run Chen · 1973 · misc
Jing-Run Chen, “On the representation of a large even integer as the sum of a prime and the product of at most two primes,” Scientia Sinica 16 (1973), 157–176.
- Cherlin1979MorleyOpen source ↗
Groups of small Morley rank
Gregory Cherlin · 1979 · misc
Gregory Cherlin, “Groups of small Morley rank,” Annals of Mathematical Logic 17 (1979), 1–28, DOI: 10.1016/0003-4843(79)90019-6.
- CherlinShelah1980Open source ↗
Superstable fields and groups
Gregory Cherlin and Saharon Shelah · 1980 · misc
Gregory Cherlin and Saharon Shelah, “Superstable fields and groups,” Annals of Mathematical Logic 18 (1980), 227–270, DOI: 10.1016/0003-4843(80)90013-0.
- Chowla1965RiemannOpen source ↗
The Riemann Hypothesis and Hilbert’s Tenth Problem
S. Chowla · 1965 · misc
S. Chowla, The Riemann Hypothesis and Hilbert’s Tenth Problem, Mathematics and Its Applications 4, Gordon and Breach, New York (1965), xv+119, https://archive.org/details/riemannhypothesi0000chow
- CilibertoMiranda2001Open source ↗
Degenerations of planar linear systems
Ciro Ciliberto and Rick Miranda · 1998 · misc
Ciro Ciliberto and Rick Miranda, “Degenerations of planar linear systems,” Journal für die reine und angewandte Mathematik 501 (1998), 191–220, DOI: 10.1515/crll.1998.078.
- Clemens1986CurvesOpen source ↗
Curves on generic hypersurfaces
Herbert Clemens · 1986 · misc
Herbert Clemens, “Curves on generic hypersurfaces,” Annales scientifiques de l’École Normale Supérieure 19 (1986), 629–636, DOI: 10.24033/asens.1511.
- CohenHagis1980
On the number of prime factors of if
Graeme L. Cohen and Peter Hagis Jr. · 1980 · misc
Graeme L. Cohen and Peter Hagis Jr., “On the number of prime factors of if ,” Nieuw Archief voor Wiskunde 28 (1980), 177–185.