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
- Abouzaid2012NearbyLagrangiansOpen source ↗
Nearby Lagrangians with vanishing Maslov class are homotopy equivalent
2012 · misc
Mohammed Abouzaid, “Nearby Lagrangians with vanishing Maslov class are homotopy equivalent,” Invent. Math. 189 (2012), 251–313, DOI 10.1007/s00222-011-0365-0.
- AffleckKennedyLiebTasaki1987RigorousResults
Rigorous results on valence-bond ground states in antiferromagnets
1987 · misc
Ian Affleck, Tom Kennedy, Elliott H. Lieb and Hal Tasaki, “Rigorous results on valence-bond ground states in antiferromagnets,” Phys. Rev. Lett. 59 (1987), 799–802.
- AizenmanMolchanov1993Localization
Localization at large disorder and at extreme energies
1993 · misc
Michael Aizenman and Stanislav Molchanov, “Localization at large disorder and at extreme energies,” Comm. Math. Phys. 157 (1993), 245–278.
- AmarBrunaNicolau2017CoronaSurveyOpen source ↗
The corona problem, Carleson measures, and applications
2018 · misc
Daniela Kraus and Oliver Roth, “The corona problem, Carleson measures, and applications,” in Mathematical Analysis and Applications, Wiley, 2018, DOI 10.1002/9781119414421.ch20.
- Anantharaman2008EntropyEigenfunctions
Entropy and the localization of eigenfunctions
2008 · misc
Nalini Anantharaman, “Entropy and the localization of eigenfunctions,” Ann. of Math. 168 (2008), 435–475.
- Anderson1958AbsenceDiffusionOpen source ↗
Absence of diffusion in certain random lattices
1505 · misc
P. W. Anderson, “Absence of diffusion in certain random lattices,” Phys. Rev. 109 (1958), 1492–1505, DOI 10.1103/PhysRev.109.1492.
- Arnold1986LagrangianSingularities
Singularities of Caustics and Wave Fronts
1990 · misc
V. I. Arnold, Singularities of Caustics and Wave Fronts, Mathematics and its Applications 62, Kluwer, 1990 (source of the nearby Lagrangian problem).
- Aubin1976NonlinearProblemsOpen source ↗
Problèmes isopérimétriques et espaces de Sobolev
1976 · misc
Thierry Aubin, Problèmes isopérimétriques et espaces de Sobolev, J. Differential Geom. 11 (1976), 573–598, DOI 10.4310/jdg/1214433725.
- AvilaCrovisierWilkinson2017PositiveEntropy
Diffeomorphisms with positive metric entropy
2016 · misc
Artur Avila, Sylvain Crovisier and Amie Wilkinson, “Diffeomorphisms with positive metric entropy,” Publ. Math. IHÉS 124 (2016), 319–347.
- BIRS2025LSpaceOpen source ↗
The L-space conjecture
2025 · misc
Steven Boyer, Cameron Gordon and Ying Hu, “The L-space conjecture,” BIRS Research in Teams report, 2025, report.
- Banach1932OperationsLineaires
Théorie des opérations linéaires
1932 · misc
Stefan Banach, Théorie des opérations linéaires, Monografie Matematyczne 1, Warsaw, 1932.
- Banuelos2011BurkholderSurveyOpen source ↗
The foundational inequalities of D. L. Burkholder and some of their ramifications
2011 · misc
Rodrigo Bañuelos, “The foundational inequalities of D. L. Burkholder and some of their ramifications,” 2011, arXiv: 1012.4850.
- BanuelosWang1995SharpMartingaleOpen source ↗
Sharp inequalities for martingales with applications to the Beurling–Ahlfors and Riesz transforms
1995 · misc
Rodrigo Bañuelos and Gang Wang, “Sharp inequalities for martingales with applications to the Beurling–Ahlfors and Riesz transforms,” Duke Math. J. 80 (1995), 575–600, DOI 10.1215/S0012-7094-95-08019-1.
- BartelsLueckReich2008FJApplicationsOpen source ↗
On the Farrell–Jones conjecture and its applications
2008 · misc
Arthur Bartels, Wolfgang Lück and Holger Reich, “On the Farrell–Jones conjecture and its applications,” J. Topol. 1 (2008), 57–86, DOI 10.1112/jtopol/jtm008.
- BealeKatoMajda1984EulerOpen source ↗
Remarks on the breakdown of smooth solutions for the 3-D Euler equations
1984 · misc
J. Thomas Beale, Tosio Kato and Andrew Majda, “Remarks on the breakdown of smooth solutions for the 3-D Euler equations,” Comm. Math. Phys. 94 (1984), 61–66, DOI 10.1007/BF01212349.
- BecerraRodriguez2002Transitivity
Transitivity of the norm on Banach spaces
2002 · misc
Julio Becerra Guerrero and Ángel Rodríguez-Palacios, “Transitivity of the norm on Banach spaces,” Extracta Math. 17 (2002), 1–58.
- BeliaevSmirnov2010IntegralMeansOpen source ↗
Harmonic measure and SLE
2009 · misc
Dmitry Beliaev and Stanislav Smirnov, “Harmonic measure and SLE,” Comm. Math. Phys. 290 (2009), 577–595, DOI 10.1007/s00220-009-0799-2.
- Birkhoff1927DynamicalSystems
Dynamical Systems
1927 · misc
George D. Birkhoff, Dynamical Systems, AMS Colloquium Publications 9, 1927.
- BlancLewin2015CrystallizationReviewOpen source ↗
The crystallization conjecture: a review
2015 · misc
Xavier Blanc and Mathieu Lewin, “The crystallization conjecture: a review,” EMS Surv. Math. Sci. 2 (2015), 255–306, DOI 10.4171/EMSS/13.
- BleilerHodgsonWeeks1990CosmeticOpen source ↗
Cosmetic surgery on knots
1999 · misc
Steven A. Bleiler, Craig D. Hodgson and Jeffrey R. Weeks, “Cosmetic surgery on knots,” in Proceedings of the Kirbyfest, Geom. Topol. Monogr. 2, 1999, 23–34, DOI 10.2140/gtm.1999.2.23.
- Blumenthal2020CompositionsStandardMapsOpen source ↗
Statistical properties for compositions of standard maps with increasing coefficient
2018 · misc
Alex Blumenthal, “Statistical properties for compositions of standard maps with increasing coefficient,” Ergodic Theory Dynam. Systems 40 (2020), 301–339, DOI 10.1017/etds.2018.61.
- BonattiCrovisier2016RecurrenceGenericityOpen source ↗
Recurrence and genericity
2004 · misc
Christian Bonatti and Sylvain Crovisier, “Recurrence and genericity,” Invent. Math. 158 (2004), 33–104, DOI 10.1007/s00222-004-0361-1.
- Borel1953CompactCliffordKlein
Les espaces localement homogènes
1953 · misc
Armand Borel, “Les espaces localement homogènes,” in Proceedings of the International Congress of Mathematicians 1954, vol. 2, 1956, 317–321 (historical attribution; the conjecture was posed in the 1953 seminar).
- BoyerClay2024OrderDetectionOpen source ↗
Order-detection of slopes on the boundaries of knot manifolds
2024 · misc
Steven Boyer and Adam Clay, “Order-detection of slopes on the boundaries of knot manifolds,” Groups Geom. Dyn. 18 (2024), 1317–1348, DOI 10.4171/GGD/784.
- BoyerGordonWatson2013OrderableOpen source ↗
On L-spaces and left-orderable fundamental groups
2013 · misc
Steven Boyer, Cameron McA. Gordon and Liam Watson, “On L-spaces and left-orderable fundamental groups,” Math. Ann. 356 (2013), 1213–1245, DOI 10.1007/s00208-012-0852-7.
- BregmanIncertiMedici2024CannonOpen source ↗
On a generalization of Cannon's conjecture for cubulated hyperbolic groups
2024 · misc
Corey Bregman and Merlin Incerti-Medici, “On a generalization of Cannon's conjecture for cubulated hyperbolic groups,” 2024, arXiv: 2406.08779.
- Brennan1978ConformalMappingsOpen source ↗
The integrability of the derivative in conformal mapping
1978 · misc
J. E. Brennan, “The integrability of the derivative in conformal mapping,” J. London Math. Soc. (2) 18 (1978), 261–272, DOI 10.1112/jlms/s2-18.2.261.
- BrenneckeBrooksCaraciOldenburg2025BECOpen source ↗
A short proof of Bose–Einstein condensation in the Gross–Pitaevskii regime and beyond
2025 · misc
Christian Brennecke, Morris Brooks, Cristina Caraci and Jakob Oldenburg, “A short proof of Bose–Einstein condensation in the Gross–Pitaevskii regime and beyond,” Ann. Henri Poincaré 26 (2025), 1353–1373, DOI 10.1007/s00023-024-01465-8.
- BurnsWilkinson2010StableErgodicityOpen source ↗
On the ergodicity of partially hyperbolic systems
2010 · misc
Keith Burns and Amie Wilkinson, “On the ergodicity of partially hyperbolic systems,” Ann. of Math. 171 (2010), 451–489, DOI 10.4007/annals.2010.171.451.
- BurtonPanangaden2024FurstenbergFormulationsOpen source ↗
Formulations of Furstenberg's 2,3 conjecture in complex analysis and operator algebras
2024 · misc
Peter Burton and Jane Panangaden, “Formulations of Furstenberg's 2,3 conjecture in complex analysis and operator algebras,” 2024, arXiv: 2410.22701.
- BuzziNovaes2024HilbertAttemptOpen source ↗
A note on a recent attempt to solve the second part of Hilbert's 16th Problem
2024 · misc
Claudio A. Buzzi and Douglas D. Novaes, “A note on a recent attempt to solve the second part of Hilbert's 16th Problem,” 2024, arXiv: 2411.09594.
- CabelloSanchez2001MazurRotationsOpen source ↗
Wheeling around Mazur's rotations problem
2001 · misc
Félix Cabello Sánchez, “Wheeling around Mazur's rotations problem,” Extracta Math. 16 (2001), 223–232, journal PDF.
- CaflischKlapperSteele1997IdealMHDOpen source ↗
Remarks on singularities, dimension and energy dissipation for ideal hydrodynamics and MHD
1997 · misc
Russel E. Caflisch, Isaac Klapper and Gregory Steele, “Remarks on singularities, dimension and energy dissipation for ideal hydrodynamics and MHD,” Comm. Math. Phys. 184 (1997), 443–455, DOI 10.1007/s002200050066.
- Cameron2024GeometricSQGOpen source ↗
Geometric analysis of the generalized surface quasi-geostrophic equations
2024 · misc
Stephen Cameron, “Geometric analysis of the generalized surface quasi-geostrophic equations,” Math. Ann. 390 (2024), 4639–4655, DOI 10.1007/s00208-024-02867-z.
- Cannon1994CombinatorialRiemannOpen source ↗
The combinatorial Riemann mapping theorem
1994 · misc
James W. Cannon, “The combinatorial Riemann mapping theorem,” Acta Math. 173 (1994), 155–234, DOI 10.1007/BF02398434.
- CannonSwenson1998RecognizingConformalOpen source ↗
Recognizing constant curvature discrete groups in dimension 3
1998 · misc
James W. Cannon and Eric L. Swenson, “Recognizing constant curvature discrete groups in dimension 3,” Trans. Amer. Math. Soc. 350 (1998), 809–849, DOI 10.1090/S0002-9947-98-02107-2.
- Carleson1962CoronaOpen source ↗
Interpolations by bounded analytic functions and the corona problem
1962 · misc
Lennart Carleson, “Interpolations by bounded analytic functions and the corona problem,” Ann. of Math. 76 (1962), 547–559, DOI 10.2307/1970375.
- Chae2006BoussinesqOpen source ↗
Global regularity for the 2D Boussinesq equations with partial viscosity terms
2005 · misc
Dongho Chae, “Global regularity for the 2D Boussinesq equations with partial viscosity terms,” Adv. Math. 203 (2006), 497–513, DOI 10.1016/j.aim.2005.05.001.
- Chae2007EulerBlowupSurveyOpen source ↗
Incompressible Euler equations: the blow-up problem and related results
2008 · misc
Dongho Chae, “Incompressible Euler equations: the blow-up problem and related results,” in Handbook of Differential Equations: Evolutionary Equations, vol. 4, Elsevier, 2008, 1–55, arXiv: math/0703405.
- ChaeMiaoXue2022BoussinesqFrontsOpen source ↗
Global regularity of nondiffusive temperature fronts for the two-dimensional viscous Boussinesq system
2022 · misc
Dongho Chae, Qianyun Miao and Liutang Xue, “Global regularity of nondiffusive temperature fronts for the two-dimensional viscous Boussinesq system,” SIAM J. Math. Anal. 54 (2022), 337–366, DOI 10.1137/21M1457345.
- ChalendarPartington2011ModernInvariantOpen source ↗
Modern Approaches to the Invariant-Subspace Problem
2011 · misc
Isabelle Chalendar and Jonathan R. Partington, Modern Approaches to the Invariant-Subspace Problem, Cambridge Tracts in Mathematics 188, Cambridge Univ. Press, 2011, DOI 10.1017/CBO9780511735233.
- ChenHou2025EulerSingularitiesOpen source ↗
Finite time singularities to the 3D incompressible Euler equations for solutions in C^( R^3) C^(1,) L^2
2025 · misc
Jiajie Chen and Thomas Y. Hou, “Finite time singularities to the 3D incompressible Euler equations for solutions in C^( R^3) C^(1,) L^2,” Ann. PDE 11 (2025), DOI 10.1007/s40818-025-00214-2.
- ChenMiaoZhang2008MHDRegularity
On the regularity criterion of weak solution for the 3D viscous magneto-hydrodynamics equations
2008 · misc
Qionglei Chen, Changxing Miao and Zhifei Zhang, “On the regularity criterion of weak solution for the 3D viscous magneto-hydrodynamics equations,” Comm. Math. Phys. 284 (2008), 919–930.
- Chirikov1979UniversalInstabilityOpen source ↗
A universal instability of many-dimensional oscillator systems
1573 · misc
Boris V. Chirikov, “A universal instability of many-dimensional oscillator systems,” Phys. Rep. 52 (1979), 263–379, DOI 10.1016/0370-1573(79)90023-190023-1).
- Christodoulou1999InstabilityNakedOpen source ↗
The instability of naked singularities in the gravitational collapse of a scalar field
1999 · misc
Demetrios Christodoulou, “The instability of naked singularities in the gravitational collapse of a scalar field,” Ann. of Math. 149 (1999), 183–217, DOI 10.2307/121023.
- Clay2026NavierStokesOpen source ↗
Navier–Stokes equation
2026 · misc
Clay Mathematics Institute, “Navier–Stokes equation,” current Millennium Problem page, stable URL.
- Clay2026YangMillsStatusOpen source ↗
Yang–Mills and the mass gap
2026 · misc
Clay Mathematics Institute, “Yang–Mills and the mass gap,” live problem page, accessed 2026-07-27, CMI page.
- ConnellRuanWang2026EulerOpen source ↗
Nonpositively curved 4-manifolds with zero Euler characteristic
2026 · misc
Christopher Connell, Yuping Ruan and Shi Wang, “Nonpositively curved 4-manifolds with zero Euler characteristic,” Adv. Math. (2026), publisher page.