Infinite-dimensional Geometry: Theory and Applications (LTV)
T. Goliński, G. Larotonda, A.B. Tumpach, Nijenhuis operators on homogeneous spaces related to C*-algebras, arXiv:2410.13557[math.DG].
K. Habermann & E. Hartman, Brownian motion on spaces of discrete regular curves, arXiv:2510.24593[math.PR].
S. Haller, C. Vizman, Nonlinear Grassmannians: plain, decorated, augmented, arXiv:2503.15363[math.DG].
P. Michor,
The Schouten–Nijenhuis bracket in infinite dimension,
arXiv:2504.15010[math.DG].
A.B. Tumpach, Hyperkaehler Marriage of the two sphere with the hyperbolic space, arXiv:2504.19945[math.DG].
A.B. Tumpach, Infinite-dimensional Siegel disc as symplectic and Kaehler quotient, arXiv:2504.19931[math.SG].
Entanglement in Many-body quantum matter: Dynamics, dissipation, equilibration (BPS)
T. Bhore, L. Su, I. Martin, A. A. Clerk, Z. Papic, Quantum Mpemba effect without global symmetries, arXiv:2505.17181[quant-ph].
N. Manjunath, A. Turzillo, Ch. Wang, Detection of 2D SPT Phases under Decoherence, arXiv:2507.00127[cond-mat.str-el].
A.-R. Negari, L. A. Lessa, S. Sahu, Symmetry enforces entanglement at high temperatures, arXiv:2508.20166[quant-ph].
J. Taylor, C. Voinea, Z. Papic, R. Fan, Conformal scalar field theory from Ising tricriticality on the fuzzy sphere, arXiv:2506.22539[cond-mat.str-el].
C. Voinea, R. Fan, N. Regnault, Z. Papic, Regularizing 3D Conformal Field Theories via Anyons on the Fuzzy Sphere, arXiv:2411.15299[cond-mat.stat-mech].
M. Votto, M. Ljubotina, C. Lancien, J. I. Cirac, P. Zoller, M. Serbyn, L. Piroli & B. Vermersch, Learning mixed quantum states in large-scale experiments, arXiv:2507.12550[quant-ph].
Reverse Mathematics (AGW)
M. Aguilar, J. Aguilera & D. Fernández-Duque, The Reverse Mathematics of the Mountain Pass Theorem, in progress.
J. Aguilera & D. Fernández-Duque, The spectrum of hyperarithmetical soundness, in progress.
J. Aguilera, A. Freund & F. Pakhomov, Recursively Provable Dilators, preprint.
J. Aguilera & N. Greenberg, Initial segments of the constructible hierarchy satisfying Mostowski’s collapse axiom, in progress.
J. Aguilera & N. Greenberg, E. Hammatt, hierarchy of finite-change degrees in admissible computability, in progress.
J. Aguilera & H. Jeon, Recursively Provable Ptykes, in progress.
J. Aguilera, A. Fernández & J. Joosten, The provably total set-recursive functions of KPl, arXiv:2510.14399[math.LO].
J. Aguilera & T. Kouptchinsky, Binary Choice Games and Arithmetical Comprehension, arXiv:2510.12612[math.LO].
J. Aguilera & T. Kouptchinsky, The limits of determinacy in higher-order arithmetic, arXiv:2411.04786[math.LO].
J. Aguilera, T. Kouptchinsky & K. Yokoyama, The Reverse Mathematics of Analytic Measurability, arXiv:2603.22503 [math.LO].
J. Aguilera & R. Lubarsky, Harrington’s Principle in Second-Order Arithmetic, in progress.
J. Aguilera,R. Lubarsky, & L. Pacheco, Higher-Order Feedback Computability, in progress.
J. Aguilera & F. Pakhomov, Non-linearities in the analytical hierarchy, in progress.
K. Benjelloun & B. Durand, Recursive Pseudo Well-Ordernings with Infinite Time Turing Machines, in progress.
K. Benjelloun, B. Durand & G. Lafitte, Stable Writabilily of reals via Infinite Time Turing Machines, in progress.
G. Buriola & A. Weiermann, Proof-Theoretic Relations between Higman’s and Kruskal’s theorem, and Independence Results for Tree-like Structures, arXiv:2511.11297[math.LO].
L. Carlucci & G. Celli. Weihrauch reducibility between Ramsey-type theorems and wellordering principles at the level of induction: A pilot study arXiv:2511.21481[math.LO].
P. Cholak,
Ramsey Theorem and Bounding in Arithmetic,
arXiv:2603.
23704[math.LO].
G. Dooley,
Iterated jump noncomputability and compactness,
arXiv:2506.
20620[math.LO].
D. Fernández-Duque & A. Weiermann, The Fractal Goodstein Principle, arXiv:2508.14768[math.LO].
E. Frittaion & G. G. Genovesi, Transfinite recursion from collapsing functions, in progress.
E. Gadsby, On the Slowing Down Phenomenon, in progress.
D. Gonzalez, D. Rossegger & D. Turetsky, Scott Analysis up to the Vaught Ordinal, in progress.
N. Greenberg, J. Jacobson-Grocott, J. Miller & D. Turetsky, Degrees of continuous functions on Baire space, in progress.
N. Greenberg, J. Miller & M. Soskova, Relativizing randomness to enumeration oracles, in progress.
N. Greenberg, D. Lecomte, D. Turetsky & M. Zeleny, Minimal examples for Σξ0 graph colourings, in progress.
E. Hammat & H. T. Koh, A sufficient condition for the density of the punctual degrees, preprint.
J. Hirst & C. Mummert, Reverse mathematics and moduli of uniform continuity, in progress.
R. Lubarsky, Delta and determinacy of the Boolean hierarchy over Σ20, in progress.
A. Marcone & A. Volpi, Reverse Mathematics and Dimension of Posets, arXiv:2603.18759[math.LO].
D. Norman & S. Sanders, The uncountability of the reals and the Axiom of Choice, arXiv:2602.05558[math.LO].
S. Sanders,
On countability and representations,
arXiv:2602.06728[math.LO].
S. Sanders, Reverse Mathematics: there and back again, Manuscript, 422 pages.
S. Sanders & D. Taranovsky, Numerical Choice, Riemann integration, and Reverse Mathematics, arXiv:2606.01420[math.LO].
W. Wang, Iterated Jumps of Perfect Subtrees of Positive Trees, in progress.
Free Boundary Problems (RSV)
P. Colli, G. Gilardi, A. Signori & J. Sprekels,
Optimal Velocity Control of a Brinkman–Cahn–Hilliard System with Curvature Effects,
arXiv:2601.
05820[math.OC].
L. De Masi,, Stratification of the single blow-up set for Radon measures, arXiv:2512.20498[math.FA].
A. Dall’Acqua, F. Rupp, R. Schätzle & M. Schlierf, Stability of the free boundary Willmore problem, arXiv:2601.18388[math.AP].
W. M. Feldman & I. C. Kim,, The pinning effect of dilute defects, arXiv:2512.11152[math.AP].
X. Fernández-Real & H. Yu, Linearized equation and generic regularity in the Alt-Caffarelli problem, arXiv:2510.18330[math.AP].
H. Garcke, K.F. Lam & R. Nürnberg. A. Signori, On a Mullins–Sekerka model for the growth of active droplets modeling protocells: Stability analysis and numerical computations, arXiv:2601.11155[math.AP].
A. Guerra, X. Lamy & K. Zemas,
Global minimality of the Hopf map in the Faddeev–Skyrme model with large coupling constant,
arXiv:2507.10686[math.AP].
B. Hu, Z. Wang, J. Xin & Z. Zhang,
A Stochastic Genetic Interacting Particle Method for Reaction-Diffusion-Advection Equations,
arXiv:2511.12275[math.NA].
F. Nobili, F. Renzi & F. Vitillaro,
Mosco-convergence of Cheeger energies on varying spaces satisfying curvature dimension conditions,
arXiv:2511.
13320[math.MG].
U. Stefanelli,
A free boundary problem in accretive growth,
arXiv:2601.
08755[math.AP].
Degenerate and Sigular PDEs (BLG)
F. Bäuerlein, S. Ricco, & L. Schätzler, Global higher integrability and Hardy inequalities for double-phase functionals under a capacity density condition, arXiv:2503.21580[math.AP].
V. Bögelein, F. Duzaar, N. Liao, K. Moring, Gradient estimates for the fractional p-Poisson equation, arXiv:2503.05903[math.AP].
S. Ciani, U. Gianazza, Z. Li, Phragmén-Lindelöf-type theorems for functions in Homogeneous De Giorgi Classes, in preparation.
K. Ebrahimi-Fard, L. Foissy, J. Kock, F. Patras,
Operads of (noncrossing) partitions, interacting bialgebras, and moment-cumulant relations,
arXiv:1907.01190[math.CO].
L. Foissy, Bialgebras in cointeraction, the antipode and the eulerian idempotent, arXiv:2201.11974[math.RA].
L. Foissy,
Chromatic polynomials and bialgebras of graphs,
arXiv:1611.
04303[math.RA].
L. Foissy, Cointeraction on noncrossing partitions and related polynomial invariant, arXiv:2501.18212[math.CO].
Structures in Banach Spaces (AFS)
C.A. De Bernardi, T. Russo, J. Somaglia, Lattice tilings of Hilbert spaces, arXiv:2505.04267[math.FA].
A. Jiménez-Vargas, A. Rueda Zoca, Lipschitz interpolating sequences, arXiv:2503.18169[math.FA].
A. Jiménez-Vargas, A. Rueda Zoca, Transfinite (almost isometric) ideals in Banach spaces, arXiv:2505.04178[math.FA].
G. Racher, Weak Compactness and Property, unpublished.
Uniform Distribution of Sequences (TFB)
A. Bakhtawar & C. Kraaikamp, Sharpening Vahlen’s result in Diophantine approximation, arXiv:2504.20640[math.DS].
W. Bosma, R. Bruin, R. Fokkink, A. Reuijl & T. Tromp, Using Walnut to solve problems from the OEIS, arXiv:2503.04122[math.NT].
H. Bruin & O. Lukina, Skew-product systems over infinite interval exchange transformations, arXiv:2408.14079[math.NT].
K. Dajani, C. Kraaikamp, H. Nakada & R. Natsui,
A new class of α-Farey maps and an application to normal numbers,
arXiv:2405.10921[math.DS].
Quantum Harmonic Analysis (FLF) E. Cordero, G. Giacchi & E. Pucci, Wave packet analysis of metaplectic operators in Gelfand-Shilov spaces and applications to Schrödinger equations, in progress.
A. Abdeljawad & E. Cordero, Neural Approximation in Time-Frequency Analysis, in progress.
Extremal statistics in biology (LAD)
K. Jain & H. Sumuni, Dynamics of fixation probability in a population with fluctuating size, arXiv:2508.18828[q-bio.PE].
A. Jangid, O. N. Feldheim & T. Friedlander,
Volatile but persistent co-existence of self-compatibility and self-incompatibility in plants,
DOI:10.1101/2025.11.30.691363.
Charged Soft Matter: Bridging Theory and Experiment (LKS)
J.K.G.Dhonta & W.J.Briels, Temperature-induced migration of electro-neutral interacting colloidal particles, in: Journal of Colloid And Interface Science. Journal of Colloid and Interface Science, 2024, 666, 457-471.
J.K.G.Dhonta & W.J.Briels, Temperature induced migration of interacting charged colloidal particles: an irreversible thermodynamics approach, in: Journal of Colloid And Interface Science. Soft Matter, 2025, 21, 4498-4516.
Roman Staňo & Peter Košovan, Charge Regulation Enables Uptake of Ampholytes to Polyelectrolyte Brushes, in: ACS Macro Letters. ACS Macro Lett. 2026, 15, 1, 102–111.
Putting the Cosmic Large-scale Structure on the Map: Theory Meets Numbers (UHR)
A. Andrews et al., Field-Level Inference of Primordial Non-Gaussianity with the Quijote Simulation Suite, arXiv:2603.20855[astro-ph.CO].
A. E. Bayer, L. Parker, D. Valcin, S. Chen, Ch. Modi & U. Seljak, Field-Level Inference from Galaxies: BAO Reconstruction, arXiv:2603.15732[astro-ph.CO].
F. List, O. Hahn, T. Flöss & L. Winkler, DISCO-DJ II: a differentiable particle-mesh code for cosmology, arXiv:2510.05206[astro-ph.CO].
H. Simon, F. Lanusse & A. de Mattia, Benchmarking field-level cosmological inference from galaxy redshift surveys, arXiv:2504.20130[astro-ph.CO].
P. Adeyemo, D. Bunnett & F. Levicán, Embeddings of weighted projective spaces, arXiv:2510.05076[math.AG].
L. Andersson, B. Moser, M. A. Oancea, C. F. Paganini, G. Schmid, Pseudodifferential Weyl calculus on vector bundles, arXiv:2507.11965[math-ph].
M. A. Benitez, A. H. Hoang, V. Mateu, I. W. Stewart & G. Vita, On determining αs(mZ) from dijets in e+e thrust, arXiv:2412.15164[hep-ph].
M. A. Benitez, A. Bhattacharya, A. H. Hoang, V. Mateu, M. D. Schwartz, I. W. Stewart et al., A Precise Determination of αs from the Heavy Jet Mass Distribution, arXiv:2502.12253[hep-ph].
M. Briceño, H. A. González, M. Henneaux & A. Pérez, Matching conditions at null infinity in the presence of logarithms: the role of advanced and retarded radiation, arXiv:2510.21072[hep-th].
A. Constantin, V. Kozlov, E. Lokharu & J. Weber,, Waves interacting with the Antarctic Circumpolar Current, in preparation.
J. Droschl, Poles of intertwining operators in terms of irreducible components of Lusztig’s characteristic variety in type A, arXiv:2508.13817[math.RT].
J. Figueroa-O’Farrill, S. Pekar, A. Pérez & S. Prohazka, Planons and their Carroll-Galilei symmetries, arXiv:2508.08390[hep-th].
A. H. Hoang, V. Mateu, M. D. Schwartz & I. W. Stewart,
Precision e+e− Hemisphere Masses in the Dijet Region with Power Corrections,
arXiv:2506.09130[hep-ph].
M. A. Oancea, T. B. Mieling & G. Palumbo, Quantum geometric tensors from sub-bundle geometry, arXiv:2503.17163[math-ph].
J.-R. Li & T. Przezdziecki, Compatibility of Drinfeld presentations and q-characters for affine Kac–Moody quantum symmetric pairs: quasi-split case, arXiv:2601.02165[math.QA].
A. Pérez, K. Jensen & St. Prohazka, Planons and their Carroll-Galilei symmetries, arXiv:2508.08390[cond-mat.str-el].
A. Bagchi, S. Biswas, A. Kakkar & S. Mondal, Scalar fields and 3D Flat Space Cosmologies, arXiv:2506.02148[hep-th].
N. Berestycki & I. Sauzedde, Brownian paths as loop-decorated sles, arXiv:2602.04673[math.PR].
The following papers and publications complement the papers and publications already taken into account in the previous years.
CDFG24 = Carrollian Physics and Holography, 2024
COZ24 = Lensing and Wave Optics, 2024
CSZ23 = Spectral Theory and Mathematical Relativity, 2023
DFC24 = Linking Microscopic Processes to the Macroscopic Rheological Properties in Inert and Living Soft Materials, 2024
RIT 2023 = Research in Teams, 2023
SLE11 = Nonlinear Water Waves, 2011
Ch. H. Cashen, P. Dani, K. Schreve & E. Stark, Conformal dimension bounds, Pontryagin sphere boundaries, and algebraic fibering of right-angled Coxeter groups, arXiv:2510.03430[math.GR], (RIT2023).
P. T. Chruściel & R. Wutte, Gluing-at-infinity of two-dimensional asymptotically locally hyperbolic manifolds, arXiv:2401.04048[gr-qc], (CSZ23).
T. Kano, Tunamis on a deep open sea and on a sloping beach – a mathematical theory, arXiv:2409.17269[math.AP], (SLE 2011).
N. Kolezakis, St. Aime, R. Pastore, V. Guida, G. D Avino, P. Edera, Microscopic structure and dynamics of shear-thinning suspensions of polydisperse, repulsive vesicles, arXiv:2501.04758[cond-mat.soft], (DFC24).
R. McNees & C. Zwikel, The symplectic potential for leaky boundaries, arXiv:2408.13203[hep-th], (CDFG24).
R. McNees & C. Zwikel, (Anti)-de Sitter with leaky boundaries and corners, arXiv:2512.03170[hep-th], (CDFG24).
P. Pareek, P. Sollich, S. K. Nandi & L. Berthier Scaling the glassy dynamics of active particles: Tunable fragility and reentrance, arXiv:2506.09589[cond-mat.soft], (DFC24).
V. Perlick,
Characterisation of circular light rays in a plasma,
arXiv:2502.18831[gr-qc], (COZ24).
A. Siciliano, R. Pastore, F. Greco & F. Rusciano, An Effective Volume Fraction Controls Both Dynamics and Thermodynamics in Vesicle Suspensions with Tunable Electrostatic Interactions, Ind. Eng. Chem. Res. 2025, 64, 38, 18938–18949,(DFC24).
H. Ubach, Self-lensing of moving gravitational-wave sources can break the microlensing crossing timescale degeneracy, arXiv:2512.08898[astro-ph.HE], (COZ24).