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
- Tao2026KakeyaBourbakiOpen source ↗
The Kakeya conjecture, after Wang and Zahl
2026 · misc
Terence Tao, “The Kakeya conjecture, after Wang and Zahl,” Séminaire Bourbaki, 2026, arXiv: 2604.03416.
- Tasaki2025HeisenbergTopologyOpen source ↗
The ground state of the antiferromagnetic Heisenberg chain is topologically nontrivial
2025 · misc
Hal Tasaki, “The ground state of the antiferromagnetic Heisenberg chain is topologically nontrivial,” 2025, arXiv: 2411.06789.
- Taubes2007Weinstein3DOpen source ↗
The Seiberg–Witten equations and the Weinstein conjecture
2007 · misc
Clifford H. Taubes, “The Seiberg–Witten equations and the Weinstein conjecture,” Geom. Topol. 11 (2007), 2117–2202, DOI 10.2140/gt.2007.11.2117.
- VanDeMoortel2026SCCSurveyOpen source ↗
The strong cosmic censorship conjecture
2026 · misc
Maxime Van de Moortel, “The strong cosmic censorship conjecture,” revised 2026, arXiv: 2501.13180. number number Dynamical systems
- Wang2026CylindricalVlasovOpen source ↗
Large data global solution of the 3D RVM system with cylindrical symmetry
2026 · misc
Xuecheng Wang, “Large data global solution of the 3D RVM system with cylindrical symmetry,” Princeton Analysis Seminar, 2026, abstract.
- WangZahl2025Kakeya3DOpen source ↗
Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions
2025 · misc
Hong Wang and Joshua Zahl, “Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions,” 2025, arXiv: 2502.17655.
- Weinberger2024HigherSignaturesOpen source ↗
Higher -invariants and the surgery structure set
2049 · misc
Shmuel Weinberger, “Higher -invariants and the surgery structure set,” in contemporary surveys of the Novikov conjecture; for a stable source see the open survey DOI 10.5802/aif.2049.
- Weinreich2025AlgebraicBilliardsOpen source ↗
Algebraic billiards in the Fermat hyperbola
2025 · misc
Max Weinreich, “Algebraic billiards in the Fermat hyperbola,” Adv. Math. (2025), arXiv: 2406.16172.
- Weinstein1979PeriodicOrbitsOpen source ↗
On the hypotheses of Rabinowitz's periodic orbit theorems
1979 · misc
Alan Weinstein, “On the hypotheses of Rabinowitz's periodic orbit theorems,” J. Differential Equations 33 (1979), 353–358, DOI 10.1016/0022-0396(79)90070-690070-6).
- Wigner1934InteractionElectronsOpen source ↗
On the interaction of electrons in metals
1934 · misc
Eugene Wigner, “On the interaction of electrons in metals,” Phys. Rev. 46 (1934), 1002–1011, DOI 10.1103/PhysRev.46.1002.
- Wolff1999KakeyaSurvey
Recent work connected with the Kakeya problem
1999 · misc
Thomas Wolff, “Recent work connected with the Kakeya problem,” in Prospects in Mathematics, AMS, 1999, 129–162.
- Wu2025BoussinesqSurveyOpen source ↗
Global regularity problem for the 2D Boussinesq equations with partial or fractional dissipation
2025 · misc
Jiahong Wu, “Global regularity problem for the 2D Boussinesq equations with partial or fractional dissipation,” invited survey lecture, 2025, event page.
- Xia1992NoncollisionSingularitiesOpen source ↗
The existence of noncollision singularities in Newtonian systems
1992 · misc
Zhihong Xia, “The existence of noncollision singularities in Newtonian systems,” Ann. of Math. 135 (1992), 411–468, DOI 10.2307/2946572.
- Yakovenko2001QuantitativeHilbertOpen source ↗
Quantitative theory of ordinary differential equations and the tangential Hilbert 16th problem
2005 · misc
Sergei Yakovenko, “Quantitative theory of ordinary differential equations and the tangential Hilbert 16th problem,” in On Finiteness in Differential Equations and Diophantine Geometry, CRM Monograph Series 24, AMS, 2005, 41–109, arXiv: math/0104140.
- YangMills1954IsotopicSpinOpen source ↗
Conservation of isotopic spin and isotopic gauge invariance
1954 · misc
Chen Ning Yang and Robert L. Mills, “Conservation of isotopic spin and isotopic gauge invariance,” Phys. Rev. 96 (1954), 191–195, DOI 10.1103/PhysRev.96.191.
- Yau1982OpenProblemsGeometry
Seminar on Differential Geometry
1982 · misc
Shing-Tung Yau (ed.), Seminar on Differential Geometry, Annals of Mathematics Studies 102, Princeton Univ. Press, 1982.
- Yau1982ProblemNodalSets
Problem section
1982 · misc
Shing-Tung Yau, “Problem section,” in Seminar on Differential Geometry, Annals of Mathematics Studies 102, Princeton Univ. Press, 1982, 669–706.
- Yoccoz1995PetitsDiviseurs
Petits diviseurs en dimension 1
1995 · misc
Jean-Christophe Yoccoz, “Petits diviseurs en dimension 1,” Astérisque 231 (1995).
- Zahl2025KakeyaSurveyOpen source ↗
A survey of the Kakeya conjecture, 2000–2025
2025 · misc
Joshua Zahl, “A survey of the Kakeya conjecture, 2000–2025,” 2025, arXiv: 2512.09397.
- Ziller2007ExamplesNonnegativeOpen source ↗
Examples of Riemannian manifolds with non-negative sectional curvature
2006 · misc
Wolfgang Ziller, “Examples of Riemannian manifolds with non-negative sectional curvature,” in Surveys in Differential Geometry XI, 2007, 63–102, DOI 10.4310/SDG.2006.v11.n1.a3.
- BrownSchreiberTaylor1973PompeiuOpen source ↗
Spectral synthesis and the Pompeiu problem
1973 · misc
Leon Brown, Bertram M. Schreiber and B. Alan Taylor, “Spectral synthesis and the Pompeiu problem,” Ann. Inst. Fourier 23 (1973), no. 3, 125–154.
- Williams1976PompeiuOpen source ↗
A partial solution of the Pompeiu problem
1976 · misc
Stephen A. Williams, “A partial solution of the Pompeiu problem,” Math. Ann. 223 (1976), 183–190.
- Zalcman1992PompeiuSurveyOpen source ↗
A bibliographic survey of the Pompeiu problem
1992 · misc
Lawrence Zalcman, “A bibliographic survey of the Pompeiu problem,” in Approximation by Solutions of Partial Differential Equations, NATO ASI Series C 365, Kluwer, 1992, 185–194.
- Dai2025SchifferWithdrawnOpen source ↗
Confirmed answer to the Schiffer conjecture and the Berenstein conjecture
2025 · misc
Guowei Dai, arXiv:2501.02724 (2025), withdrawn by the author because the constant-breadth proof was insufficient.
- Logunov2018NodalLowerBoundOpen source ↗
Nodal sets of Laplace eigenfunctions: proof of Nadirashvili's conjecture and of the lower bound in Yau's conjecture
2018 · misc
Alexander Logunov, “Nodal sets of Laplace eigenfunctions: proof of Nadirashvili's conjecture and of the lower bound in Yau's conjecture,” Ann. of Math. 187 (2018), 241–262.
- Stovall2020ParaboloidExtremizersOpen source ↗
Extremizability of Fourier restriction to the paraboloid
Betsy Stovall · 2020 · article
- RiosSawyer2026ParaboloidCharacterizationOpen source ↗
A smooth Alpert testing characterization of convolution type for the Fourier extension conjecture on paraboloids
Cristian Rios and Eric T. Sawyer · 2026 · misc
Current version v9, July 31, 2026; v8 explicitly retracts the earlier proof claim because of an uncontrolled error term
- Penrose1973NakedSingularitiesOpen source ↗
Naked singularities
Roger Penrose · 1973 · article
- Mars2009PenroseStatusOpen source ↗
Present status of the Penrose inequality
Marc Mars · 2009 · article
- AllenBrydenKazarasKhuri2025SuboptimalPenroseOpen source ↗
Proof of the Spacetime Penrose Inequality With Suboptimal Constant in the Asymptotically Flat and Asymptotically Hyperboloidal Regimes
Brian Allen and Edward Bryden and Demetre Kazaras and Marcus Khuri · 2025 · misc
- Xu2025ConditionalSpacetimePenroseOpen source ↗
The Spacetime Penrose Inequality: Conditional Results for Stable MOTS and General Trapped Surfaces
Da Xu · 2025 · misc
Current version v5; the unconditional claim in v1 is superseded
- AmbrosioCabre2000DeGiorgiOpen source ↗
Entire solutions of semilinear elliptic equations in R3 and a conjecture of De Giorgi
2000 · misc
Luigi Ambrosio and Xavier Cabré, “Entire solutions of semilinear elliptic equations in R3 and a conjecture of De Giorgi,” J. Amer. Math. Soc. 13 (2000), 725–739, DOI 10.1090/S0894-0347-00-00345-3.
- BaumConnesHigson1994ClassifyingOpen source ↗
Classifying space for proper actions and K-theory of group C*-algebras
1994 · misc
Paul Baum, Alain Connes and Nigel Higson, “Classifying space for proper actions and K-theory of group C*-algebras,” in C*-Algebras: 1943–1993, Contemp. Math. 167 (1994), 241–291, DOI 10.1090/conm/167/1292018.
- BourgainSarnakZiegler2013MobiusOpen source ↗
Disjointness of Möbius from horocycle flows
2013 · misc
Jean Bourgain, Peter Sarnak and Tamar Ziegler, “Disjointness of Möbius from horocycle flows,” in From Fourier Analysis and Number Theory to Radon Transforms and Geometry, Dev. Math. 28, Springer, 2013, 67–83, DOI 10.1007/978-1-4614-4075-8_5.
- DeGiorgi1979ConvergenceProblems
Convergence problems for functionals and operators
1979 · misc
Ennio De Giorgi, “Convergence problems for functionals and operators,” Proceedings of the International Meeting on Recent Methods in Nonlinear Analysis (Rome, 1978), Pitagora, Bologna, 1979, 131–188.
- DelPinoKowalczykWei2011DeGiorgiOpen source ↗
On De Giorgi's conjecture in dimension N greater than or equal to 9
2011 · misc
Manuel del Pino, Michał Kowalczyk and Juncheng Wei, “On De Giorgi's conjecture in dimension N greater than or equal to 9,” Ann. of Math. 174 (2011), 1485–1569, DOI 10.4007/annals.2011.174.3.3.
- DuminilCopin2022CriticalIsingOpen source ↗
100 years of the (critical) Ising model on the hypercubic lattice
2022 · misc
Hugo Duminil-Copin, “100 years of the (critical) Ising model on the hypercubic lattice,” Proc. Int. Cong. Math. 2022, Vol. 1, 164–210, DOI 10.4171/ICM2022/204.
- Dykema1994InterpolatedFreeGroupFactorsOpen source ↗
Interpolated free group factors
1994 · misc
Kenneth J. Dykema, “Interpolated free group factors,” Pacific J. Math. 163 (1994), 123–135, DOI 10.2140/pjm.1994.163.123.
- ElShowkEtAl2012ThreeDimensionalIsingOpen source ↗
Solving the 3D Ising model with the conformal bootstrap
2012 · misc
Sheer El-Showk, Miguel F. Paulos, David Poland, Slava Rychkov, David Simmons-Duffin and Alessandro Vichi, “Solving the 3D Ising model with the conformal bootstrap,” Phys. Rev. D 86 (2012), 025022, DOI 10.1103/PhysRevD.86.025022.
- FerencziKulagaPrzymusLemanczyk2018SarnakOpen source ↗
Sarnak's conjecture: what's new
2018 · misc
Sébastien Ferenczi, Joanna Kułaga-Przymus and Mariusz Lemańczyk, “Sarnak's conjecture: what's new,” in Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics, Lecture Notes in Math. 2213, Springer, 2018, 163–235, DOI 10.1007/978-3-319-74908-2_11.
- FrantzikinakisHost2018LogarithmicSarnakOpen source ↗
The logarithmic Sarnak conjecture for ergodic weights
2018 · misc
Nikos Frantzikinakis and Bernard Host, “The logarithmic Sarnak conjecture for ergodic weights,” Ann. of Math. 187 (2018), 869–931, DOI 10.4007/annals.2018.187.3.6.
- GoldbringPi2025FirstOrderFreeGroupFactorsOpen source ↗
On the first-order free group factor elementary equivalence
2025 · misc
Isaac Goldbring and Jennifer Pi, “On the first-order free group factor elementary equivalence,” J. Operator Theory 94 (2025), 129–150, DOI 10.7900/jot.2023sep11.246.
- GomezAparicioJulgValette2019BaumConnesSurveyOpen source ↗
The Baum–Connes conjecture: an extended survey
2019 · misc
María Paula Gómez Aparicio, Pierre Julg and Alain Valette, “The Baum–Connes conjecture: an extended survey,” in Advances in Noncommutative Geometry, Springer, 2019, 127–244, DOI 10.1007/978-3-030-29597-4_3.
- HigsonKasparov2001ETheoryOpen source ↗
E-theory and KK-theory for groups which act properly and isometrically on Hilbert space
2001 · misc
Nigel Higson and Gennadi Kasparov, “E-theory and KK-theory for groups which act properly and isometrically on Hilbert space,” Invent. Math. 144 (2001), 23–74, DOI 10.1007/s002220000118.
- HigsonLafforgueSkandalis2002CounterexamplesOpen source ↗
Counterexamples to the Baum–Connes conjecture
2002 · misc
Nigel Higson, Vincent Lafforgue and Georges Skandalis, “Counterexamples to the Baum–Connes conjecture,” Geom. Funct. Anal. 12 (2002), 330–354, DOI 10.1007/s00039-002-8249-5.
- Kulske2025IsingHighlightsOpen source ↗
The Ising model: highlights and perspectives
2025 · misc
Christof Külske, “The Ising model: highlights and perspectives,” Math. Phys. Anal. Geom. 28 (2025), article 20, DOI 10.1007/s11040-025-09515-1.
- PolandSimmonsDuffin2016ConformalBootstrapOpen source ↗
The conformal bootstrap
2016 · misc
David Poland and David Simmons-Duffin, “The conformal bootstrap,” Nature Phys. 12 (2016), 535–539, DOI 10.1038/nphys3761.
- Radulescu1994RandomMatricesFreeFactorsOpen source ↗
Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group, of noninteger index
1994 · misc
Florin Rădulescu, “Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group, of noninteger index,” Invent. Math. 115 (1994), 347–390.