OOIR: Observatory of International Research

Papers

(The median citation count of Advances in Theoretical and Mathematical Physics is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-08-01 to 2026-08-01.)

Article	Citations
Stability of the one electron atom Schrödinger model with magnetic field in two dimensions	51
On the causal discontinuity of Morse spacetimes	25
Mathematics and machine learning program	20
Hyperbolic energy and Maskit gluings	17
Mathematics and machine learning program	13
Time symmetric electrodynamics, electric charge conservation, and the Lorenz gauge	13
Mahler measuring the genetic code of amoebae	12
Modular bootstrap for D4-D2-D0 indices on compact Calabi–Yau threefolds	10
Topological operators, noninvertible symmetries and decomposition	10
Fuchsian ODEs as Seiberg dualities	9
Trapped surface formation for the Einstein-scalar system	9
Knot categorification from mirror symmetry Part II: Lagrangians	8
Spinorial quasilocal mass for spacetimes with negative cosmological constant	8
Knot categorification from mirror symmetry part I: Coherent sheaves	7
Some examples of family Floer mirrors	6
Quantization of derived cotangent stacks and gauge theory on directed graphs	6
Extremals of determinants for Laplacians on discrete surfaces	6
Chiral topologically ordered states on a lattice from vertex operator algebra	6
Miura operators as R-matrices from M-brane intersections	5
Kolmogorov--Arnold stability	5
Supersymmetry and trace formulas II. Selberg trace formula	5
Gravity coupled with scalar, $\mathrm{SU}(\mathrm{n})$, and spinor fields on manifolds with Null-Boundary	5
Machine learning the vanishing order of rational $L$-functions	5
2d BF theory coupled to 1d quantum mechanics: The phase space and its quantization	4
Dynamical quantization of contact structures	4

Enumerative geometry and modularity in two-modulus K3-fibered Calabi-Yau threefolds	4
Machine-learned Calabi–Yau metrics and curvature	4
Topological correlators of $SU(2), \mathcal{N}=2^*$ SYM on four-manifolds	4
Global stability of Minkowski spacetime for a spin- $1 / 2$ field	4
CayleyPy RL: Pathfinding and reinforcement learning on Cayley graphs	3
Topological defect lines in bosonized Parafermionic CFTs	3
Merging Hazy Sets with m-Schemes: A geometric approach to data visualization	3
Exactly solvable models for $2+1 \mathrm{D}$ topological phases derived from crossed modules of semisimple Hopf algebras	3
The Chronicles of IIBordia: Dualities, Bordisms, and the Swampland	3
Mysterious Triality and M-Theory	3
On a class of fusion 2-category symmetry: condensation completion of braided fusion category	3
Topological quantum gravity of the Ricci flow	2
The tameness of quantum field theory, part II – structures and CFTs	2
From short-range to mean-field models in quantum lattices	2
$K_2$ and quantum curves	2
Algebraic interplay between renormalization and monodromy	2
Learning Fricke signs from Maass form coefficients	2
Resurgence of large order relations	2
Holomorphic surface defects in four-dimensional Chern-Simons theory	2
Topological 5d $\mathcal{N}=2$ gauge theory: Novel Floer homologies, their dualities, and an $A_{\infty}$-category of three-manifolds	2
A matrix solution to any polygon equation	2
Generalized Narain theories $\mathfrak{decoded}$: $\mathfrak{d}$iscussions on $\mathfrak{E}$isenstein series, $\mathfrak{c}$haracteristics, $\mathfrak{o}$rbifol	2
Erratum to: On entropy for general quantum systems	2
Intrinsic non-perturbative topological strings	2
On the optimal regularity implied by the assumptions of geometry II: Connections on vector bundles	1
Interface currents and corner states in magnetic quarter-plane systems	1
Spectral flow for the Riemann zeros	1
Connecting topological strings and spectral theory via non-autonomous Toda equations	1
A Green’s function for the source-free Maxwell Equations on $AdS^5 \times \mathbb{S}^2 \times \mathbb{S}^3$	1
Explicit large $N$ von Neumann algebras from matrix models	1
Perelman’s Ricci Flow in topological quantum gravity	1
Second-order mass estimates for static vacuum metrics with small Bartnik data	1
On one-loop corrected dilaton action in string theory	1
On $\frac{1}{8}$-BPS black holes and the chiral algebra of $\mathcal{N}=4$ SYM	1
Obstructions to the existence of Møller maps	1
Reinforcement learning the chromatic symmetric function	1
Differential $KO$-theory via gradations and mass terms	1
The condensed fiber product and zesting	1
MSW-type compactifications of 6d $(1,0)$ SCFTs on 4-manifolds	1
Instanton counting and Donaldson–Thomas theory on toric Calabi–Yau four-orbifolds	1
Supersymmetry and localization on three-dimensional orbifolds	1
From equivariant volumes to equivariant periods	1
Out-of-time-ordered correlators for Wigner matrices	1
Boundary structure of gauge and matter fields coupled to gravity	1
Yang–Mills as a constrained Gaussian	1
New non-commutative resolutions of determinantal Calabi-Yau threefolds from hybrid GLSM	1
Clustering cluster algebras with clusters	1
Twistor sigma models for quaternionic geometry and graviton scattering	1
Enhanced symmetries in minimally twisted three-dimensional supersymmetric theories	1
Energy spectrum of a constrained quantum particle and the Willmore energy of the constraining surface	1

Interpretable machine learning for Kronecker coefficients	0
The Yang-Baxter equation, Leibniz algebras, racks and related algebraic structures	0
On enumerative problems for maps and quasimaps: freckles and scars	0
New solution of Einstein-Yang-Mills equations	0
A QFT for non-semisimple TQFT	0
Direct and inverse problems in special geometry	0
Fermionic Spencer cohomologies of $D=11$ supergravity	0
The geometry of picture changing operators	0
$T \bar{T}$ deformations in general dimensions	0
Adiabatic definitions of scattering matrix and inclusive scattering matrix	0
The spacetime Penrose inequality for cohomogeneity one initial data	0
A proof of the pentagon relation for skeins	0
Entangled quantum states of causal fermion systems and unitary group integrals	0
$\mathrm{G}_2$-instantons on 2-step nilpotent Lie groups	0
NL bialgebras	0
Holographic space-time, Newton’s law, and the dynamics of horizons	0
The fermionic entanglement entropy and area law for the relativistic Dirac vacuum state	0
String condensations in $3+1D$ and Lagrangian algebras	0
Colored Jones polynomials and the volume conjecture	0
Limited regularity of a specific electronic reduced density matrix for molecules	0
A note on the canonical formalism for gravity	0
Towards long-time geometrization: Stability of the double-cusp spacetimes under $\mathrm{T}^2$-symmetry	0
Machine learning approaches to the Shafarevich-Tate group of elliptic curves	0
Physical Yukawa couplings in heterotic string compactifications	0
Obstructions to distinguished Riemannian metrics via Lorentzian geometry	0
Causal evolution of probability measures and continuity equation	0
Machine learning toric duality in brane tilings	0
Two-point deterministic equivalence for stochastic gradient dynamics in linear models	0
The tameness of quantum field theory: Part I - Amplitudes	0
Vafa-Witten theory: invariants, Floer homologies, Higgs bundles, a geometric Langlands correspondence, and categorification	0
Topological 8d $\mathcal{N}=1$ gauge theory: Novel Floer homologies, and $A_{\infty}$-categories of six, five, and four-manifolds	0
Learning Euler factors of elliptic curves	0
Studying number theory with deep learning: a case study with the Möbius and squarefree indicator functions	0
Generalised cocycles and super $p$-branes	0
On genus one fibered Calabi-Yau threefolds with 5-sections	0
Mathematical data science	0
Boundedness and decay for the Teukolsky system in Kerr-Newman spacetime II: The case $\|a\| \ll M$, $\|Q\| < M$ in axial symmetry	0
The chromatic Lagrangian: Wavefunctions and open Gromov-Witten conjectures	0
Fractional quantum Hall effect and $M$-theory	0
Asymptotic structure and stability of spatially homogeneous space-times with a positive cosmological constant	0
Int2Int: A framework for mathematics with transformers	0
Scattering of Dirac fields in the interior of Kerr-Newman(-Anti)-de Sitter black holes via comparison and symmetry operators	0
Differential cohomology and topological actions in physics	0
Hamiltonian gauge theory with corners: constraint reduction and flux superselection	0
Grassmannian Sigma Models	0
Skeins, clusters and wavefunctions	0
Supersymmetric deformation of the $\mathbb{C P}^1$ model and its conformal limits	0
C-R-T fractionalization, fermions, and mod 8 periodicity	0
A correspondence between deep Boltzmann machines and $p$-adic statistical field theories	0
On the learnability of knot invariants: representation, predictability, and neural similarity	0
Internal Lagrangians and spatial-gauge symmetries	0
Jacobian Calabi-Yau $3$-fold and charge completeness in six-dimensional theory	0
Generative modeling for mathematical discovery	0
Initial data for Minkowski stability with arbitrary decay	0
Contact geometric mechanics: the Tulczyjew triples	0
Crossing symmetry in matter Chern–Simons theories at finite $N$ and $k$	0
JT gravity coupled to fermions	0
Mock modularity of Calabi-Yau threefolds	0
Dualities and discretizations of integrable quantum field theories from 4d Chern-Simons theory	0
$3$-manifolds and Vafa–Witten theory	0
How a space-time singularity helps remove the ultraviolet divergence problem	0
Cluster transformations, the tetrahedron equation, and three-dimensional gauge theories	0
Advancing geometry with AI: Multi-agent generation of polytopes	0
Conformal geometry and half-integrable spacetimes	0
The free energy of the large-$N$ fermionic Chern-Simons theory in the 'temporal' gauge	0
Chern-Simons theories with defects, Rogers-Ramanujan type functions and eta-products	0
Completion of a period map of Hodge type $(1, 2, 2, 1)$	0
The BRST double complex for the coupling of gravity to gauge theories	0
Classification of connected étale algebras in multiplicity-free modular fusion categories at rank six	0
Twisted equivariant quasi-elliptic cohomology and M-brane charge	0
Solving the linearized field equations of the causal action principle in Minkowski space	0
Adinkras and pure spinors	0
On the construction of fuzzy spaces and modules over shift algebras	0
Learning the symmetric group: Large from small	0
Topology change with Morse functions: progress on the Borde–Sorkin conjecture	0