Key papers in Mathematical Physics
Pofolia’s corpus holds 72 papers from the Mathematical Physics subfield (2012–2026). The list below starts with the most cited.
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”.
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.
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.
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.
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.
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This volume collects published and unpublished essays by Frank P. Ramsey, written between 1923 and 1929, showcasing the development of his philosophical thought in mathematics, logic, and economics.
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.
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.
Matrix Variate Distributions
2018 · 1,333 citations
This book systematically compiles recent developments in continuous matrix variate distribution theory, including new results, making it a central resource for this specialized statistical area.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Recently added
Journal of Operator Theory
Journal of Operator Theory · 2026 · Q2 · 212 citations
This paper introduces matrix convexity for operator spaces, establishing foundational theorems and a correspondence between matrix convex sets and operator spaces.
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society · 2026 · Q1 · SJR 1.00 · 423 citations
This paper rigorously justifies homogenization procedures for a linear system describing the joint motion of a thermoelastic porous body and a thermofluid, as pore size tends to zero in a geometrically periodic structure.
Numerical Methods for Scientists and Engineers
2024 · FWCI 4.66 · 304 citations
This textbook introduces fundamental and advanced numerical methods for science and engineering students, emphasizing theoretical background and practical application with pseudocode.
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.
Enumerative Combinatorics
Cambridge University Press eBooks · 2023 · FWCI 3.96 · 274 citations
The revised second edition of Stanley's Volume II provides a comprehensive introduction to generating functions, trees, and symmetric functions, featuring over 400 exercises with solutions.
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