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
- ConstantinMajdaTabak1994SQGOpen source ↗
Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
1533 · misc
Peter Constantin, Andrew J. Majda and Esteban Tabak, “Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar,” Nonlinearity 7 (1994), 1495–1533, DOI 10.1088/0951-7715/7/6/001.
- ContinoGallardo2024HalmosProblemOpen source ↗
A note on a Halmos problem
2024 · misc
Maximiliano Contino and Eva A. Gallardo-Gutiérrez, “A note on a Halmos problem,” 2024, arXiv: 2409.01167.
- Cordoba1998SQGScenarioOpen source ↗
Nonexistence of simple hyperbolic blow-up for the quasi-geostrophic equation
1998 · misc
Diego Córdoba, “Nonexistence of simple hyperbolic blow-up for the quasi-geostrophic equation,” Ann. of Math. 148 (1998), 1135–1152, DOI 10.2307/121039.
- CotarPetrache2019JelliumUEG
Equality of the jellium and uniform electron gas next-order asymptotic terms
2019 · misc
Codina Cotar and Mircea Petrache, “Equality of the jellium and uniform electron gas next-order asymptotic terms,” Comm. Math. Phys. 365 (2019), 1017–1086.
- Croke1984SharpFourDimensionalOpen source ↗
A sharp four-dimensional isoperimetric inequality
1984 · misc
Christopher B. Croke, “A sharp four-dimensional isoperimetric inequality,” Comment. Math. Helv. 59 (1984), 187–192, DOI 10.1007/BF02566344.
- Crouzeix2004AnalyticFunctionsMatricesOpen source ↗
Bounds for analytical functions of matrices
2004 · misc
Michel Crouzeix, “Bounds for analytical functions of matrices,” Integral Equations Operator Theory 48 (2004), 461–477, DOI 10.1007/s00020-003-1279-z.
- CrouzeixPalencia2017NumericalRangeOpen source ↗
The numerical range is a (1+2)-spectral set
2017 · misc
Michel Crouzeix and César Palencia, “The numerical range is a (1+2)-spectral set,” SIAM J. Matrix Anal. Appl. 38 (2017), 649–655, DOI 10.1137/17M1116672.
- Dafermos2005CosmicCensorshipOpen source ↗
The interior of charged black holes and the problem of uniqueness in general relativity
2005 · misc
Mihalis Dafermos, “The interior of charged black holes and the problem of uniqueness in general relativity,” Comm. Pure Appl. Math. 58 (2005), 445–504, DOI 10.1002/cpa.20071.
- DafermosLuk2025KerrInteriorOpen source ↗
The interior of dynamical vacuum black holes I: the C^0-stability of the Kerr Cauchy horizon
2025 · misc
Mihalis Dafermos and Jonathan Luk, “The interior of dynamical vacuum black holes I: the C^0-stability of the Kerr Cauchy horizon,” Ann. of Math. 202 (2025), 309–630, journal page.
- Davis1995EulerNonpositiveOpen source ↗
The Euler characteristic of a nonpositively curved manifold
1995 · misc
Michael W. Davis, “The Euler characteristic of a nonpositively curved manifold,” Pacific J. Math. 171 (1995), 117–137, author PDF.
- DekimpeDerive2019AnosovGraphsOpen source ↗
Anosov diffeomorphisms on infra-nilmanifolds associated to graphs
2020 · misc
Karel Dekimpe and Jonas Deré, “Anosov diffeomorphisms on infra-nilmanifolds associated to graphs,” Dissertationes Math. 559 (2021), 1–53, DOI 10.4064/dm815-7-2020.
- DeyKingShawTosun2021ThinKnotsOpen source ↗
Thin knots and the Cabling Conjecture
2021 · misc
Subhankar Dey, Nicholas R. King, Daniel R. Shaw and Bülent Tosun, “Thin knots and the Cabling Conjecture,” 2021, arXiv: 2112.08074.
- DiPernaLions1989VlasovMaxwellOpen source ↗
Global weak solutions of Vlasov–Maxwell systems
1989 · misc
Ronald J. DiPerna and Pierre-Louis Lions, “Global weak solutions of Vlasov–Maxwell systems,” Comm. Pure Appl. Math. 42 (1989), 729–757, DOI 10.1002/cpa.3160420603.
- Ding2025WeinsteinSurveyOpen source ↗
A survey on the Weinstein conjecture
2025 · misc
Yanqiao Ding, “A survey on the Weinstein conjecture,” Front. Math. China 20 (2025), 1–15, DOI 10.3868/s140-DDD-025-0003-x.
- DonnellyFefferman1988NodalSetsOpen source ↗
Nodal sets of eigenfunctions on Riemannian manifolds
1988 · misc
Harold Donnelly and Charles Fefferman, “Nodal sets of eigenfunctions on Riemannian manifolds,” Invent. Math. 93 (1988), 161–183, DOI 10.1007/BF01393691.
- DouadyHubbard1985EtudeMandelbrot
Étude dynamique des polynômes complexes
1985 · misc
Adrien Douady and John H. Hubbard, Étude dynamique des polynômes complexes, Publications Mathématiques d'Orsay 84-02 and 85-04, 1984–1985.
- DudkoLyubich2023MLCOpen source ↗
MLC at Feigenbaum points
2023 · misc
Dzmitry Dudko and Mikhail Lyubich, “MLC at Feigenbaum points,” 2023, arXiv: 2309.02107.
- DunfieldGong2025RibbonExperimentsOpen source ↗
Ribbon concordances and slice obstructions: experiments and examples
2025 · misc
Nathan M. Dunfield and Sherry Gong, “Ribbon concordances and slice obstructions: experiments and examples,” 2025, arXiv: 2512.21825.
- Einstein1925QuantentheorieGas
Quantentheorie des einatomigen idealen Gases. Zweite Abhandlung
1925 · misc
Albert Einstein, “Quantentheorie des einatomigen idealen Gases. Zweite Abhandlung,” Sitzungsberichte der Preussischen Akademie der Wissenschaften (1925), 3–14.
- FarrellJones1993KTheoryDynamicsOpen source ↗
K-theory and dynamics. I
1993 · misc
F. T. Farrell and L. E. Jones, “K-theory and dynamics. I,” Ann. of Math. 124 (1986), 531–569, DOI 10.2307/2007092, together with their 1993 formulation in J. Amer. Math. Soc. 6 (1993), 249–297.
- FarrellJones1993TopologicalRigidity
Topological rigidity for compact non-positively curved manifolds
1993 · misc
F. T. Farrell and L. E. Jones, “Topological rigidity for compact non-positively curved manifolds,” in Differential Geometry: Riemannian Geometry, Proc. Sympos. Pure Math. 54.3, AMS, 1993, 229–274.
- Fefferman2006NavierStokesOpen source ↗
Existence and smoothness of the Navier–Stokes equation
2022 · misc
Charles L. Fefferman, “Existence and smoothness of the Navier–Stokes equation,” in The Millennium Prize Problems, Clay Mathematics Institute/AMS, 2006, official problem description.
- FerrandoKakolLopezPellicerSaxon2018SeparableQuotientOpen source ↗
On the separable quotient problem for Banach spaces
1709 · misc
J. C. Ferrando, J. Kąkol, M. López-Pellicer and S. A. Saxon, “On the separable quotient problem for Banach spaces,” 2017, arXiv: 1709.09646.
- FerryRanickiRosenberg1995NovikovOpen source ↗
Novikov Conjectures, Index Theorems and Rigidity
1995 · misc
Steven C. Ferry, Andrew Ranicki and Jonathan Rosenberg (eds.), Novikov Conjectures, Index Theorems and Rigidity, LMS Lecture Note Series 226–227, Cambridge Univ. Press, 1995, DOI 10.1017/CBO9780511629365.
- Filonov2026AnnuliOpen source ↗
Pólya's conjecture for Dirichlet eigenvalues of annuli
2026 · misc
N. Filonov, “Pólya's conjecture for Dirichlet eigenvalues of annuli,” J. London Math. Soc. (2026), arXiv: 2505.21737.
- FilonovLevitinPolterovichSher2023BallsOpen source ↗
Pólya's conjecture for Euclidean balls
2023 · misc
N. Filonov, M. Levitin, I. Polterovich and D. Sher, “Pólya's conjecture for Euclidean balls,” Invent. Math. 234 (2023), 129–169, DOI 10.1007/s00222-023-01198-1.
- Fox1962KnotProblems
Some problems in knot theory
1962 · misc
Ralph H. Fox, “Some problems in knot theory,” in Topology of 3-Manifolds and Related Topics, Prentice-Hall, 1962, 168–176.
- Frank2020LiebThirringSurveyOpen source ↗
The Lieb–Thirring inequalities: recent results and open problems
2007 · misc
Rupert L. Frank, “The Lieb–Thirring inequalities: recent results and open problems,” in Nine Mathematical Challenges, Proc. Sympos. Pure Math. 104, AMS, 2021, 45–86, arXiv: 2007.09326.
- FrankHundertmarkJexNam2023LiebThirring
The Lieb–Thirring inequality revisited
2023 · misc
Rupert L. Frank, Dirk Hundertmark, Michal Jex and Phan Thành Nam, “The Lieb–Thirring inequality revisited,” J. Eur. Math. Soc. 25 (2023), 2583–2600.
- Franks1969AnosovDiffeomorphisms
Anosov diffeomorphisms
1970 · misc
John Franks, “Anosov diffeomorphisms,” in Global Analysis, Proc. Sympos. Pure Math. 14, AMS, 1970, 61–93.
- Freedman1982TopologyFourManifoldsOpen source ↗
The topology of four-dimensional manifolds
1982 · misc
Michael H. Freedman, “The topology of four-dimensional manifolds,” J. Differential Geom. 17 (1982), 357–453, DOI 10.4310/jdg/1214437136.
- Fuglede1974CommutingOperatorsOpen source ↗
Commuting self-adjoint partial differential operators and a group theoretic problem
1974 · misc
Bent Fuglede, “Commuting self-adjoint partial differential operators and a group theoretic problem,” J. Funct. Anal. 16 (1974), 101–121, DOI 10.1016/0022-1236(74)90072-990072-9).
- Furstenberg1967DisjointnessErgodicOpen source ↗
Disjointness in ergodic theory, minimal sets, and a problem in Diophantine approximation
1967 · misc
Hillel Furstenberg, “Disjointness in ergodic theory, minimal sets, and a problem in Diophantine approximation,” Math. Systems Theory 1 (1967), 1–49, DOI 10.1007/BF01692494.
- Furuta2001Monopole118Open source ↗
Monopole equation and the 11/8-conjecture
2001 · misc
Mikio Furuta, “Monopole equation and the 11/8-conjecture,” Math. Res. Lett. 8 (2001), 279–291, DOI 10.4310/MRL.2001.v8.n3.a5.
- FuterPurcellSchleimer2025ExcludingCosmeticOpen source ↗
Excluding cosmetic surgeries on hyperbolic 3-manifolds
2025 · misc
David Futer, Jessica S. Purcell and Saul Schleimer, “Excluding cosmetic surgeries on hyperbolic 3-manifolds,” J. Comput. Geom. 16 (2025), 694–736, author PDF.
- GalazGarciaKerinRadeschi2020TorusActionsOpen source ↗
Torus actions on rationally elliptic manifolds
2020 · misc
Fernando Galaz-García, Martin Kerin and Marco Radeschi, “Torus actions on rationally elliptic manifolds,” Math. Z. 296 (2020), 379–395, DOI 10.1007/s00209-020-02508-6.
- GanWu2025WeightedDecoupling
Weighted decoupling estimates and the Bochner–Riesz means
2025 · misc
Shengwen Gan and Shukun Wu, “Weighted decoupling estimates and the Bochner–Riesz means,” Forum Math. Sigma 13 (2025).
- Gao2022ClosingClaimOpen source ↗
A proof of the C^r closing lemma and stability conjecture
2022 · misc
Chang Gao, “A proof of the C^r closing lemma and stability conjecture,” manuscript claim, 2022, arXiv: 2206.02974.
- GaroufalidisEtAl2025FAMEDOpen source ↗
FAMED by computer: proving the Andersen–Kashaev volume conjecture for 42,000 knots
2025 · misc
Stavros Garoufalidis et al., “FAMED by computer: proving the Andersen–Kashaev volume conjecture for 42,000 knots,” 2025, arXiv: 2512.17437. number number Analysis and functional analysis
- GaroufalidisLe2005AsymptoticsOpen source ↗
Asymptotics of the colored Jones function of a knot
2011 · misc
Stavros Garoufalidis and Thang T. Q. Lê, “Asymptotics of the colored Jones function of a knot,” Geom. Topol. 15 (2011), 2135–2180, DOI 10.2140/gt.2011.15.2135.
- GlasseyStrauss1986VlasovMaxwellOpen source ↗
Singularity formation in a collisionless plasma could occur only at high velocities
1986 · misc
Robert T. Glassey and Walter A. Strauss, “Singularity formation in a collisionless plasma could occur only at high velocities,” Arch. Rational Mech. Anal. 92 (1986), 59–90, DOI 10.1007/BF00250733.
- Glutsyuk2017FourReflective
On quadrilateral orbits in complex algebraic planar billiards
2014 · misc
Alexey Glutsyuk, “On quadrilateral orbits in complex algebraic planar billiards,” Moscow Math. J. 14 (2014), 239–289.
- GogolevLafont2015AsphericalAnosov
Aspherical products which do not support Anosov diffeomorphisms
2016 · misc
Andrey Gogolev and Jean-François Lafont, “Aspherical products which do not support Anosov diffeomorphisms,” Ann. Henri Poincaré 17 (2016), 3005–3026.
- GonzalezAcunaShort1986CablingOpen source ↗
Knot surgery and primeness
1986 · misc
F. González-Acuña and H. Short, “Knot surgery and primeness,” Math. Proc. Cambridge Philos. Soc. 99 (1986), 89–102, DOI 10.1017/S0305004100064009.
- Grove2010RiemannianPositive
Riemannian geometry: a metric entrance
2010 · misc
Karsten Grove, “Riemannian geometry: a metric entrance,” in Geometric Analysis, IAS/Park City Math. Ser. 17, AMS, 2010.
- GroveHalperin1982Dupin
Dupin hypersurfaces, group actions and the double mapping cylinder
1987 · misc
Karsten Grove and Stephen Halperin, “Dupin hypersurfaces, group actions and the double mapping cylinder,” J. Differential Geom. 26 (1987), 429–459 (standard early source for the Bott conjecture).
- GroveWilkingYeager2019RationalEllipticityOpen source ↗
Almost non-negative curvature and rational ellipticity in cohomogeneity two
2019 · misc
Karsten Grove, Burkhard Wilking and Joseph Yeager, “Almost non-negative curvature and rational ellipticity in cohomogeneity two,” Ann. Inst. Fourier 69 (2019), 2921–2939, DOI 10.5802/aif.3307.
- GuthHickmanIliopoulou2019OscillatoryOpen source ↗
Sharp estimates for oscillatory integral operators via polynomial partitioning
2019 · misc
Larry Guth, Jonathan Hickman and Marina Iliopoulou, “Sharp estimates for oscillatory integral operators via polynomial partitioning,” Acta Math. 223 (2019), 251–376, DOI 10.4310/ACTA.2019.v223.n2.a2.