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
- Gutkin2003BilliardSurvey
Billiard dynamics: a survey with the emphasis on open problems
2003 · misc
Eugene Gutkin, “Billiard dynamics: a survey with the emphasis on open problems,” Regul. Chaotic Dyn. 8 (2003), 1–13.
- Haagerup1983SimilarityCyclicOpen source ↗
Solution of the similarity problem for cyclic representations of C^-algebras
1983 · misc
Uffe Haagerup, “Solution of the similarity problem for cyclic representations of C^-algebras,” Ann. of Math. 118 (1983), 215–240, DOI 10.2307/2007038.
- Haldane1983NonlinearFieldOpen source ↗
Nonlinear field theory of large-spin Heisenberg antiferromagnets
1983 · misc
F. D. M. Haldane, “Nonlinear field theory of large-spin Heisenberg antiferromagnets,” Phys. Rev. Lett. 50 (1983), 1153–1156, DOI 10.1103/PhysRevLett.50.1153.
- Halmos1967InvariantSubspaces
A Hilbert Space Problem Book
1967 · misc
Paul R. Halmos, A Hilbert Space Problem Book, Van Nostrand, 1967 (problem and classical status source).
- HedenmalmShimorin2005WeightedBergmanOpen source ↗
Weighted Bergman spaces and the integral means spectrum of conformal mappings
2005 · misc
Håkan Hedenmalm and Serguei Shimorin, “Weighted Bergman spaces and the integral means spectrum of conformal mappings,” Duke Math. J. 127 (2005), 341–393, DOI 10.1215/S0012-7094-04-12725-1.
- Hilbert1902MathematicalProblemsOpen source ↗
Mathematical problems
1902 · misc
David Hilbert, “Mathematical problems,” Bull. Amer. Math. Soc. 8 (1902), 437–479, DOI 10.1090/S0002-9904-1902-00923-3.
- Hopf1931CurvatureEuler
Vektorfelder in n-dimensionalen Mannigfaltigkeiten
1930 · misc
Heinz Hopf, “Vektorfelder in n-dimensionalen Mannigfaltigkeiten,” Math. Ann. 96 (1927), 225–250 (historical source; formulation is usually dated to Hopf's early-1930s work).
- HopkinsLinShiXu2022IntersectionFormsOpen source ↗
Intersection forms of spin 4-manifolds and the Pin(2)-equivariant Mahowald invariant
2022 · misc
Michael J. Hopkins, Jianfeng Lin, XiaoLin Danny Shi and Zhouli Xu, “Intersection forms of spin 4-manifolds and the Pin(2)-equivariant Mahowald invariant,” Camb. J. Math. 10 (2022), 365–449, DOI 10.4310/CJM.2022.v10.n2.a4.
- Ilyashenko1991FinitenessLimitCycles
Finiteness Theorems for Limit Cycles
1991 · misc
Yu. S. Ilyashenko, Finiteness Theorems for Limit Cycles, AMS, 1991.
- Ivrii1980SecondTermSpectralOpen source ↗
The second term of the spectral asymptotics for a Laplace–Beltrami operator on manifolds with boundary
1980 · misc
Victor Ivrii, “The second term of the spectral asymptotics for a Laplace–Beltrami operator on manifolds with boundary,” Funct. Anal. Appl. 14 (1980), 98–106, DOI 10.1007/BF01086550.
- Iwaniec1982ExtremalInequalities
Extremal inequalities in Sobolev spaces and quasiconformal mappings
1982 · misc
Tadeusz Iwaniec, “Extremal inequalities in Sobolev spaces and quasiconformal mappings,” Z. Anal. Anwendungen 1 (1982), 1–16.
- JaffeWitten2000YangMillsOpen source ↗
Quantum Yang–Mills theory
2022 · misc
Arthur Jaffe and Edward Witten, “Quantum Yang–Mills theory,” in The Millennium Prize Problems, Clay Mathematics Institute and AMS, 2006, 129–152, official description.
- JiaZhou2026MHDCriteriaOpen source ↗
Acta Math. Sci.
2026 · misc
Some new regularity criteria, Acta Math. Sci. 46 (2026), 1340–1357, DOI 10.1007/s10473-026-0315-y.
- Johnson1992MeasuresInvariant
Measures on the circle invariant under multiplication by a nonlacunary subsemigroup of the integers
1992 · misc
Aimee S. A. Johnson, “Measures on the circle invariant under multiplication by a nonlacunary subsemigroup of the integers,” Israel J. Math. 77 (1992), 211–240.
- JorgensenTian2025FugledeOpen source ↗
Fuglede's conjecture, differential operators and unitary groups of local translations
2025 · misc
Palle E. T. Jorgensen and Feng Tian, “Fuglede's conjecture, differential operators and unitary groups of local translations,” Expo. Math. (2025), article 125662, DOI 10.1016/j.exmath.2025.125662.
- Juhasz2015FloerSurvey
A survey of Heegaard Floer homology
2015 · misc
András Juhász, “A survey of Heegaard Floer homology,” in New Ideas in Low Dimensional Topology, World Scientific, 2015, 237–296.
- K3ProblemList2026Open source ↗
K3: A New Problem List in Low-Dimensional Topology
2026 · misc
Daniel Ruberman et al. (eds.), K3: A New Problem List in Low-Dimensional Topology, AMS Surveys and Monographs 295, 2026, AMS page.
- Kadison1955OperatorAlgebrasOpen source ↗
On the orthogonalization of operator representations
1955 · misc
Richard V. Kadison, “On the orthogonalization of operator representations,” Amer. J. Math. 77 (1955), 600–620, DOI 10.2307/2372635.
- KaloshinSorrentino2018LocalBirkhoffOpen source ↗
On the local Birkhoff conjecture for convex billiards
2018 · misc
Vadim Kaloshin and Alfonso Sorrentino, “On the local Birkhoff conjecture for convex billiards,” Ann. of Math. 188 (2018), 315–380, DOI 10.4007/annals.2018.188.1.6.
- KaloshinZhang2024NearlyCentralBirkhoffOpen source ↗
Birkhoff conjecture for nearly centrally symmetric domains
2024 · misc
Vadim Kaloshin and Ke Zhang, “Birkhoff conjecture for nearly centrally symmetric domains,” Geom. Funct. Anal. 34 (2024), 157–206, DOI 10.1007/s00039-024-00695-6.
- KannanLovaszSimonovits1995IsoperimetricOpen source ↗
Isoperimetric problems for convex bodies and a localization lemma
1995 · misc
Ravi Kannan, László Lovász and Miklós Simonovits, “Isoperimetric problems for convex bodies and a localization lemma,” Discrete Comput. Geom. 13 (1995), 541–559, DOI 10.1007/BF02574061.
- Kashaev1997HyperbolicVolumeOpen source ↗
The hyperbolic volume of knots from the quantum dilogarithm
1997 · misc
Rinat M. Kashaev, “The hyperbolic volume of knots from the quantum dilogarithm,” Lett. Math. Phys. 39 (1997), 269–275, DOI 10.1023/A:1007364912784.
- KatokStepin1967ApproximationsErgodic
Approximations in ergodic theory
1967 · misc
A. B. Katok and A. M. Stepin, “Approximations in ergodic theory,” Russian Math. Surveys 22 (1967), 77–102.
- Kirby1997ProblemsLowDimensionalOpen source ↗
Problems in Low-Dimensional Topology
1997 · misc
Rob Kirby (ed.), Problems in Low-Dimensional Topology, AMS/IP Studies in Advanced Mathematics 2.2, 1997, author archive.
- Kirsch2008RandomSchrodingerOpen source ↗
An invitation to random Schrödinger operators
2008 · misc
Werner Kirsch, “An invitation to random Schrödinger operators,” in Random Schrödinger Operators, Panoramas et Synthèses 25, SMF, 2008, 1–119, arXiv: 0709.3707.
- KlartagLehec2022SlicingKLSOpen source ↗
Bourgain's slicing problem and KLS isoperimetry up to polylog
2022 · misc
Bo'az Klartag and Joseph Lehec, “Bourgain's slicing problem and KLS isoperimetry up to polylog,” Geom. Funct. Anal. 32 (2022), 1134–1159, DOI 10.1007/s00039-022-00604-1.
- KlartagLehec2025SlicingSolvedOpen source ↗
Affirmative resolution of Bourgain's slicing problem using Guan's bound
2025 · misc
Bo'az Klartag and Joseph Lehec, “Affirmative resolution of Bourgain's slicing problem using Guan's bound,” Geom. Funct. Anal. 35 (2025), 1147–1168, DOI 10.1007/s00039-025-00718-w. number number Partial differential equations
- Kleiner1992IsoperimetricOpen source ↗
An isoperimetric comparison theorem
1992 · misc
Bruce Kleiner, “An isoperimetric comparison theorem,” Invent. Math. 108 (1992), 37–47, DOI 10.1007/BF02100598.
- Knill2005StandardMapEntropyOpen source ↗
The problem of positive Kolmogorov–Sinai entropy for the standard map
2005 · misc
Oliver Knill, “The problem of positive Kolmogorov–Sinai entropy for the standard map,” revised 2005, arXiv: math/9908014.
- KozlovskiShenVanStrien2007DensityHyperbolicityOpen source ↗
Density of hyperbolicity in dimension one
2007 · misc
Oleg Kozlovski, Weixiao Shen and Sebastian van Strien, “Density of hyperbolicity in dimension one,” Ann. of Math. 166 (2007), 145–182, DOI 10.4007/annals.2007.166.145 (real one-dimensional theorem and comparison point).
- Kragh2013ParametrizedSpectraOpen source ↗
Parametrized ring-spectra and the nearby Lagrangian conjecture
2013 · misc
Thomas Kragh, “Parametrized ring-spectra and the nearby Lagrangian conjecture,” Geom. Topol. 17 (2013), 639–731, DOI 10.2140/gt.2013.17.639.
- Krantz2008CoronaSeveralVariablesOpen source ↗
Function Theory of Several Complex Variables
2001 · misc
Steven G. Krantz, Function Theory of Several Complex Variables, 2nd ed., AMS Chelsea, 2001, DOI 10.1090/chel/340.
- Landsman2024WeakCosmicHistoryOpen source ↗
On the development of the concept of the weak cosmic censorship conjecture in general relativity
2024 · misc
N. P. Landsman, “On the development of the concept of the weak cosmic censorship conjecture in general relativity,” 2024, arXiv: 2403.01305.
- LeMasson2026QuantumErgodicitySurveyOpen source ↗
Quantum ergodicity and semiclassical measures: mathematical results
2026 · misc
Étienne Le Masson, “Quantum ergodicity and semiclassical measures: mathematical results,” 2026, arXiv: 2606.12098.
- Ledrappier1978MixingNotThree
Un champ markovien peut être d'entropie nulle et mélangeant
1978 · misc
François Ledrappier, “Un champ markovien peut être d'entropie nulle et mélangeant,” C. R. Acad. Sci. Paris 287 (1978), 561–563.
- LeeVempala2018KLSsurveyOpen source ↗
The Kannan–Lovász–Simonovits conjecture
1807 · misc
Yin Tat Lee and Santosh S. Vempala, “The Kannan–Lovász–Simonovits conjecture,” 2018, arXiv: 1807.03465.
- LeguilZhang2026PrevalenceStableErgodicityOpen source ↗
C^r-prevalence of stable ergodicity for a class of partially hyperbolic systems
2026 · misc
François Leguil and Zhiyuan Zhang, “C^r-prevalence of stable ergodicity for a class of partially hyperbolic systems,” 2026, author preprint.
- Leray1934NavierStokesOpen source ↗
Sur le mouvement d'un liquide visqueux emplissant l'espace
1934 · misc
Jean Leray, “Sur le mouvement d'un liquide visqueux emplissant l'espace,” Acta Math. 63 (1934), 193–248, DOI 10.1007/BF02547354.
- Lewin2025ChargedQuantumParticlesOpen source ↗
Some open mathematical problems concerning charged quantum particles
2025 · misc
Mathieu Lewin, “Some open mathematical problems concerning charged quantum particles,” 2025, arXiv: 2505.09274.
- LewinLiebSeiringer2018UniformElectronGasOpen source ↗
Statistical mechanics of the uniform electron gas
2018 · misc
Mathieu Lewin, Elliott H. Lieb and Robert Seiringer, “Statistical mechanics of the uniform electron gas,” J. Éc. polytech. Math. 5 (2018), 79–116, DOI 10.5802/jep.64.
- LewinLiebSeiringer2022ImprovedLiebOxfordOpen source ↗
Improved Lieb–Oxford bound on the indirect and exchange energies
2022 · misc
Mathieu Lewin, Elliott H. Lieb and Robert Seiringer, “Improved Lieb–Oxford bound on the indirect and exchange energies,” Lett. Math. Phys. 112 (2022), article 92, DOI 10.1007/s11005-022-01584-5.
- LiWu2021BochnerRieszRevisitedOpen source ↗
The Bochner–Riesz problem: an old approach revisited
2022 · misc
Xiaochun Li and Shukun Wu, “The Bochner–Riesz problem: an old approach revisited,” Peking Math. J. 5 (2022), 251–281, DOI 10.1007/s42543-021-00043-1.
- Lieb1984BoundMaximumNegativeIonizationOpen source ↗
Bound on the maximum negative ionization of atoms and molecules
1984 · misc
Elliott H. Lieb, “Bound on the maximum negative ionization of atoms and molecules,” Phys. Rev. A 29 (1984), 3018–3028, DOI 10.1103/PhysRevA.29.3018.
- LiebOxford1981ImprovedCoulomb
Improved lower bound on the indirect Coulomb energy
1981 · misc
Elliott H. Lieb and Stephen Oxford, “Improved lower bound on the indirect Coulomb energy,” Int. J. Quantum Chem. 19 (1981), 427–439.
- LiebSeiringer2002BECTrappedOpen source ↗
Proof of Bose–Einstein condensation for dilute trapped gases
2002 · misc
Elliott H. Lieb and Robert Seiringer, “Proof of Bose–Einstein condensation for dilute trapped gases,” Phys. Rev. Lett. 88 (2002), 170409, DOI 10.1103/PhysRevLett.88.170409.
- LiebSeiringerSolovejYngvason2005BoseGas
The Mathematics of the Bose Gas and its Condensation
2005 · misc
Elliott H. Lieb, Robert Seiringer, Jan Philip Solovej and Jakob Yngvason, The Mathematics of the Bose Gas and its Condensation, Oberwolfach Seminars 34, Birkhäuser, 2005.
- LiebThirring1976BoundKineticEnergy
Bound for the kinetic energy of fermions which proves the stability of matter
1975 · misc
Elliott H. Lieb and Walter Thirring, “Bound for the kinetic energy of fermions which proves the stability of matter,” Phys. Rev. Lett. 35 (1975), 687–689.
- Livingston2005KnotConcordanceSurveyOpen source ↗
A survey of classical knot concordance
2005 · misc
Charles Livingston, “A survey of classical knot concordance,” in Handbook of Knot Theory, Elsevier, 2005, 319–347, DOI 10.1016/B978-044451452-3/50009-1.