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Jürgen Fuchs

Jürgen Fuchs

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Mathematics
Sweden
2026

D-Index & Metrics

Mathematics

D-Index
56
Citations
10599
World Ranking
740
National Ranking
5

Research.com Recognitions

  • 2026 - Research.com Mathematics in Sweden Leader Award
  • 2025 - Research.com Mathematics in Sweden Leader Award

Overview

Jürgen Fuchs is affiliated with Karlstad University in Sweden and has conducted research primarily in the fields of Mathematics and Physics and Astronomy. Their work encompasses several subfields including Geometry and Topology, Mathematical Physics, Algebra and Number Theory, Nuclear and High Energy Physics, and Statistical and Nonlinear Physics.

Their research focuses on topics such as Algebraic structures and combinatorial models, Homotopy and Cohomology in Algebraic Topology, Advanced Topics in Algebra, Black Holes and Theoretical Physics, Nonlinear Waves and Solitons, Advanced Algebra and Geometry, and Advanced Operator Algebra Research.

Fuchs has published extensively in various academic venues. Their frequent publication outlets include arXiv (Cornell University), Theory and applications of categories, Research Square (Research Square), Journal of Pure and Applied Algebra, and Transformation Groups.

Recent papers authored by Fuchs include the following:

  • INTERNAL NATURAL TRANSFORMATIONS AND FROBENIUS ALGEBRAS IN THE DRINFELD CENTER, 2021, Transformation Groups
  • Tetrahedral symmetry of 6j-symbols in fusion categories, 2022, Journal of Pure and Applied Algebra
  • Bulk from boundary in finite CFT by means of pivotal module categories, 2021, Nuclear Physics B
  • A modular functor from state sums for finite tensor categories and their bimodules, 2022, Theory and applications of categories

Jürgen Fuchs has collaborated frequently with a number of co-authors. These include Christoph Schweigert, Yang Yang, Tobias Grøsfjeld, Gregor Schaumann, and Simon N. Wood.

Their book publications include a work published by Springer Nature titled "String-Net Construction of RCFT Correlators" in 2022.

Best Publications

  • TFT construction of RCFT correlators I: partition functions

    Jürgen Fuchs;Ingo Runkel;Christoph Schweigert

  • Symmetries, Lie Algebras and Representations: A Graduate Course for Physicists

    Jürgen Fuchs;Christoph Schweigert

  • Affine Lie algebras and quantum groups : an introduction, with applications in conformal field theory

    Jürgen Fuchs

  • Duality and defects in rational conformal field theory

    Jürg Fröhlich;Jürgen Fuchs;Ingo Runkel;Christoph Schweigert

  • Kramers-Wannier duality from conformal defects

    Jürg Fröhlich;Jürgen Fuchs;Ingo Runkel;Christoph Schweigert

  • Bicategories for boundary conditions and for surface defects in 3-d TFT

    Jürgen Fuchs;Christoph Schweigert;Allessandro Valentino

  • Affine Lie Algebras and Quantum Groups

    Jürgen A. Fuchs

  • The geometry of WZW branes

    Giovanni Felder;Jürg Fröhlich;Jürgen Fuchs;Christoph Schweigert

  • TFT construction of RCFT correlators: III: simple currents

    Jürgen Fuchs;Ingo Runkel;Christoph Schweigert

  • Symmetry breaking boundary conditions and WZW orbifolds

    Lothar Birke;Jürgen Fuchs;Christoph Schweigert

  • Symmetries, Lie Algebras and Representations

    Jürgen Fuchs;Christoph Schweigert

  • FROM DYNKIN DIAGRAM SYMMETRIES TO FIXED POINT STRUCTURES

    Jürgen Fuchs;Bert Schellekens;Christoph Schweigert

  • Correspondences of ribbon categories

    Jürg Fröhlich;Jürgen Fuchs;Ingo Runkel;Christoph Schweigert

  • Defect Lines, Dualities and Generalised Orbifolds

    Jürg Fröhlich;Jürgen Fuchs;Ingo Runkel;Christoph Schweigert

  • A matrix S for all simple current extensions

    J. Fuchs;A.N.J.J. Schellekens;C. Schweigert

  • Nonsemisimple Fusion Algebras and the Verlinde Formula

    J. Fuchs;S. Hwang;A.M. Semikhatov;I.Yu. Tipunin

  • Correlation functions and boundary conditions in RCFT and three-dimensional topology

    Giovanni Felder;Jürg Fröhlich;Jürgen Fuchs;Christoph Schweigert

  • Category theory for conformal boundary conditions

    Jürgen Fuchs;C. Schweigert

  • TOPOLOGICAL DEFECTS FOR THE FREE BOSON CFT

    Jiirgen Fuchs;Matthias R. Gaberdiel;Ingo Runkel;Christoph Schweigert

  • A classifying algebra for boundary conditions

    Jürgen Fuchs;Christoph Schweigert

  • From Dynkin diagram symmetries to fixed point structures

    J"urgen Fuchs;Bert Schellekens;Christoph Schweigert

Frequent Co-Authors

Christoph Schweigert
Christoph Schweigert Universität Hamburg
Ingo Runkel
Ingo Runkel Universität Hamburg
Johannes Walcher
Johannes Walcher Heidelberg University
Frank Verstraete
Frank Verstraete Ghent University

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