Mathematical Physics papers

Pofolia’s corpus holds 98 papers from Mathematical Physics (2012–2026), each with a short summary. Below, the 20 most-cited, then the most recently added.

At a glance

• Most cited: Integral Equation Methods in Scattering Theory (2013, 2,416 citations).
• The 20 papers listed have 23,530 citations between them.
• 2 of the 4 with a known journal quartile appeared in a Q1 journal.
• 3 have a free full text (open access).
• Most frequent journals: Princeton University Press eBooks, Graduate studies in mathematics, Acta Numerica.
• Published between 2012 and 2024.

Most cited

Ranked by citation count. Because citations accumulate over time, this list naturally leans towards work published a few years ago; for where the field is now, see “recently added”. How to read the signals

• Integral Equation Methods in Scattering Theory

  Society for Industrial and Applied Mathematics eBooks · 2013 · FWCI 36.11 · 2,416 citations

  This book presents a comprehensive treatment of integral equation methods applied to scattering theory, focusing on the mathematical foundations and their application to physical problems.

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• Elements of Algebraic Topology

  2018 · FWCI 32.84 · 2,238 citations

  This book offers a concrete approach to algebraic topology, covering key theories like homology and cohomology.

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• Random dynamical systems

  Interdisciplinary mathematical sciences · 2020 · Q2 · FWCI 400.39 · 2,237 citations

  This work provides a comprehensive mathematical framework for understanding random dynamical systems (RDS) and their generators, detailing key theoretical concepts and advanced techniques.

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• Conformal field theory

  Physics Subject Headings (PhySH) · 2024 · 2,093 citations

  This text provides a comprehensive, self-contained development of conformal field theory from first principles, filling a gap in the literature.

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• Foundations of Mathematics and other Logical Essays

  2013 · FWCI 25.58 · 2,006 citations

  This volume collects published and unpublished essays by Frank P. Ramsey, written between 1923 and 1929, showcasing the development of his philosophical thought in mathematics, logic, and economics.

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• A Course in Abstract Harmonic Analysis

  2015 · FWCI 38.15 · 1,453 citations

  This abstract introduces a foundational course in abstract harmonic analysis, focusing on analysis on locally compact groups with minimal assumptions.

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• Spectral Theory and Differential Operators

  2018 · FWCI 16.58 · 1,425 citations

  This book provides an account of the analysis of closed linear operators in Banach or Hilbert spaces relevant to spectral problems of differential operators, with applications.

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• Introduction to Analytic and Probabilistic Number Theory

  Graduate studies in mathematics · 2015 · FWCI 23.14 · 1,226 citations

  This book offers a comprehensive, self-contained introduction to analytic and probabilistic methods in number theory, suitable for students and researchers.

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• Inverse Problem for a Curved Quantum Guide

  International Journal of Mathematics and Mathematical Sciences · 2012 · Q3 · FWCI 58.60 · 975 citations · Open access

  This paper establishes uniqueness results for reconstructing the curvature of a quantum guide in 2D or 3D space using spectral data or a bootstrapping method.

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• Probability on Trees and Networks

  Cambridge University Press eBooks · 2016 · FWCI 35.02 · 860 citations

  This book synthesizes decades of research connecting graph geometry with stochastic processes, presenting a unified account of probability on networks.

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• A theory of regularity structures

  2016 · FWCI 131.44 · 816 citations

  A new algebraic framework, 'regularity structures,' is introduced to describe functions and distributions using generalized local Taylor expansions, moving beyond classical polynomial models.

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• Distance and de Sitter conjectures on the Swampland

  Physics Letters B · 2018 · Q1 · SJR 1.00 · FWCI 137.13 · 750 citations · Open access

  A novel connection between the distance and de Sitter conjectures in string theory is established, resolving potential counter-examples to the de Sitter conjecture.

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• Spectral Theory and Analytic Geometry over Non-Archimedean Fields

  Mathematical surveys and monographs · 2012 · FWCI 14.61 · 742 citations

  This work establishes spectral theory and analytic geometry over non-Archimedean fields, introducing concepts like affinoid spaces, analytic spaces, curves, groups, and buildings.

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• On Compact Analytic Surfaces

  Princeton University Press eBooks · 2015 · FWCI 64.25 · 740 citations

  This abstract introduces a mathematical framework for classifying analytic fibre spaces, specifically focusing on compact analytic surfaces and their equivalences.

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• Solving inverse problems using data-driven models

  Acta Numerica · 2019 · Q1 · SJR 5.00 · FWCI 112.86 · 673 citations · Open access

  This survey paper reviews recent advances in combining data-driven models, particularly deep learning, with domain-specific physical knowledge to solve ill-posed inverse problems.

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• Measure Theory and Fine Properties of Functions, Revised Edition

  2015 · FWCI 7.51 · 645 citations

  This revised edition offers a comprehensive exploration of measure theory's core principles within n-dimensional Euclidean space.

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• Principles of functional analysis

  Graduate studies in mathematics · 2018 · FWCI 64.54 · 591 citations

  This abstract outlines the foundational concepts and key theorems covered in a comprehensive text on functional analysis.

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• CONSTRAINED HAMILTONIAN SYSTEMS

  Princeton University Press eBooks · 2020 · FWCI 15.20 · 580 citations

  This abstract is a placeholder and does not contain specific research findings or results.

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• Fourier Analysis on Local Fields.

  Medical Entomology and Zoology · 2016 · FWCI 11.01 · 533 citations

  This book develops harmonic analysis on local fields and vector spaces, drawing parallels with Euclidean cases in proofs and applications.

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• Mathematical Statistical Mechanics

  Princeton University Press eBooks · 2015 · FWCI 5.67 · 531 citations

  This book bridges the gap between overly mathematical and overly physical introductions to statistical mechanics, offering a rigorous yet accessible approach.

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Recently added

• ON UNIVERSAL PROPERTY OF RECIPROCAL KIRCHBERG ALGEBRAS AND UNIQUELY ERGODIC AUTOMORPHISMS

  Journal of the Australian Mathematical Society · 2026 · Q2 · Open access

  A reciprocal Kirchberg algebra with finitely generated K-groups possesses a universal property related to its generating C*-subalgebra and partial isometries, enabling the proof of an aperiodic, uniquely ergodic automorphism with a pure invariant state.

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• The space of decompositions of a continuum

  Applied General Topology · 2026 · Q2

  The space of ordered decompositions of a continuum X, D(X), is locally connected and locally compact but never compact unless empty. For irreducible continua, D(X) has two arc components; for locally connected continua, it's arc-connected unless X is an arc.

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• On locally distinguishing Sierpiński dynamical systems

  Bulletin of the London Mathematical Society · 2026 · Q1 · SJR 1.00

  This paper proves no local quasiconformal map exists between the limit set of a convex-cocompact Kleinian group and the Julia set of a postcritically finite rational map, if both are Sierpiński carpets.

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• Some singular examples of relative Langlands duality

  Selecta Mathematica · 2026 · Q1 · SJR 1.00 · Open access

  This paper examines relative Langlands duality for singular spaces, specifically the nilpotent cones of 3x3 matrices and (2,2,2)-tensors, relating them to Rankin-Selberg integrals.

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• Spectral properties of the Dirichlet Laplacian in twisted and sheared waveguides

  Letters in Mathematical Physics · 2026 · Q1 · Open access

  Discrete eigenvalues emerge in 3D waveguides with twisted and sheared cross-sections, revealing a link between geometry and spectral behavior.

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• Clifford-Fischer theory on an affine subgroup of GO(5,3)

  Communications in Algebra · 2026 · Q2

  This paper applies Clifford-Fischer Theory to an affine subgroup G―=33:GO(3,3) of GO(5,3) to compute its Fischer matrices and construct its character table.

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• The Bochner-Eberlein-Doss property for θ-Lau product of Banach algebras

  Communications in Algebra · 2026 · Q2

  Researchers establish that the θ-Lau product of two commutative Banach algebras, A×θB, is a Bochner-Eberlein-Doss (BED) algebra if and only if both Ae and B are BED algebras, provided A and B are non-unital and semisimple.

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• On generalised discrete torsion

  Journal of High Energy Physics · 2026 · Q2

  A generalized discrete torsion, living in $H_G^2(M; U(1))$, allows for different local discrete torsion phases at singular loci of an orbifold $M/G$, enabling consistent insertion of these phases at higher genus.

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Journals in this field

The journals that publish most of this field’s papers. Quartile (Q1–Q4), SJR and h-index are from SCImago Journal Rank; “in this field” is how many of the journal’s pooled papers belong here. What is a Q1 journal? · What is the h-index?

Every journal in Mathematical Physics (Q1–Q4) →

Other subfields in Mathematics

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