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Mathematics

D-Index
41
Citations
6446
World Ranking
1927
National Ranking
117

Overview

Ingo Runkel is affiliated with Universität Hamburg in Germany, focusing on research at the intersection of mathematics and physics. Their work spans various specialized subfields and topics, contributing to both theoretical and applied aspects of these disciplines.

The primary fields of study for this researcher include:

  • Mathematics
  • Physics and Astronomy

Within these broad fields, the subfields of study they engage with are:

  • Geometry and Topology
  • Mathematical Physics
  • Statistical and Nonlinear Physics
  • Nuclear and High Energy Physics
  • Atomic and Molecular Physics, and Optics

The main topics of research encompass:

  • Algebraic structures and combinatorial models
  • Homotopy and Cohomology in Algebraic Topology
  • Geometric and Algebraic Topology
  • Black Holes and Theoretical Physics
  • Advanced Operator Algebra Research
  • Nonlinear Waves and Solitons
  • Advanced Topics in Algebra

Their recent papers reflect this range of interests and include the following publications:

  • Parity and spin CFT with boundaries and defects, 2023, SciPost Physics
  • 3-Dimensional TQFTs from non-semisimple modular categories, 2022, Selecta Mathematica
  • Constructing modular categories from orbifold data, 2023, Quantum Topology
  • Domain Walls Between 3d Phases of Reshetikhin-Turaev TQFTs, 2022, Communications in Mathematical Physics
  • The symplectic fermion ribbon quasi-Hopf algebra and the SL(2,Z)-action on its centre, 2022, Advances in Mathematics

Among frequent co-authors collaborating with Ingo Runkel are:

  • Vincentas Mulevičius
  • Nils Carqueville
  • Azat M. Gainutdinov
  • Christoph Schweigert
  • Lóránt Szegedy

Their publications appear predominantly in venues such as:

  • arXiv (Cornell University)
  • Communications in Mathematical Physics
  • Quantum Topology
  • Journal of Mathematical Physics
  • Journal of Pure and Applied Algebra

Best Publications

  • TFT construction of RCFT correlators I: partition functions

    Jürgen Fuchs;Ingo Runkel;Christoph Schweigert

  • 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

  • Orbifold completion of defect bicategories

    Nils Carqueville;Ingo Runkel

  • TFT construction of RCFT correlators: III: simple currents

    Jürgen Fuchs;Ingo Runkel;Christoph Schweigert

  • Correspondences of ribbon categories

    Jürg Fröhlich;Jürgen Fuchs;Ingo Runkel;Christoph Schweigert

  • Boundary structure constants for the A-series Virasoro minimal models

    Ingo Runkel

  • Defect Lines, Dualities and Generalised Orbifolds

    Jürg Fröhlich;Jürgen Fuchs;Ingo Runkel;Christoph Schweigert

  • TOPOLOGICAL DEFECTS FOR THE FREE BOSON CFT

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

  • TFT construction of RCFT correlators IV: Structure constants and correlation functions

    Jürgen Fuchs;Ingo Runkel;Christoph Schweigert

  • Reflection and transmission for conformal defects

    Thomas Quella;Ingo Runkel;Gérard M.T. Watts

  • TFT construction of RCFT correlators V: Proof of modular invariance and factorisation

    Jens Fjelstad;Jürgen Fuchs;Ingo Runkel;Christoph Schweigert

  • TFT construction of RCFT correlators II: unoriented world sheets

    Jürgen Fuchs;Ingo Runkel;Christoph Schweigert;Christoph Schweigert

  • From boundary to bulk in logarithmic CFT

    Matthias R Gaberdiel;Ingo Runkel

  • The Logarithmic triplet theory with boundary

    Matthias R Gaberdiel;Ingo Runkel

  • g-function flow in perturbed boundary Conformal Field Theories

    Patrick Dorey;Ingo Runkel;Roberto Tateo;Gérard Watts

  • A non-rational CFT with c = 1 as a limit of minimal models

    Ingo Runkel;Gerard M.T. Watts

  • Structure constants for the D-series Virasoro minimal models

    Ingo Runkel

  • Uniqueness of open/closed rational CFT with given algebra of open states

    Jens Fjelstad;Jurgen Fuchs;Ingo Runkel;Christoph Schweigert

  • Cardy Algebras and Sewing Constraints, I

    Liang Kong;Ingo Runkel

  • Conformal correlation functions, Frobenius algebras and triangulations

    Jürgen Fuchs;Ingo Runkel;Christoph Schweigert

Frequent Co-Authors

Christoph Schweigert
Christoph Schweigert Universität Hamburg
Jürgen Fuchs
Jürgen Fuchs Karlstad University
Albrecht Klemm
Albrecht Klemm University of Bonn
Patrick Dorey
Patrick Dorey Durham University
Thomas Creutzig
Thomas Creutzig University of Alberta

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