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Mathematics

D-Index
37
Citations
3789
World Ranking
2559
National Ranking
158

Overview

Folkert Müller-Hoissen is affiliated with the Max Planck Institute for Dynamics and Self-Organization in Germany. Their research spans multiple fields within mathematics and physics, with an emphasis on nonlinear phenomena and algebraic structures.

The main fields of study include:

  • Mathematics
  • Physics and Astronomy

Subfields of particular focus are:

  • Statistical and Nonlinear Physics
  • Geometry and Topology
  • Algebra and Number Theory
  • Mathematical Physics

Their work covers several advanced topics, highlighting areas such as:

  • Nonlinear Waves and Solitons
  • Algebraic structures and combinatorial models
  • Advanced Topics in Algebra
  • Nonlinear Photonic Systems
  • Advanced Mathematical Physics Problems

Several of their recent papers provide insight into their research trajectory. These include:

  • "On the Structure of Set-Theoretic Polygon Equations," 2024, published in Symmetry Integrability and Geometry Methods and Applications
  • "Miura transformation in bidifferential calculus and a vectorial Darboux transformation for the Fokas-Lenells equation," forthcoming in 2025, Journal of Physics A Mathematical and Theoretical
  • "A vectorial binary Darboux transformation for the first member of the negative part of the AKNS hierarchy," 2022, Journal of Physics A Mathematical and Theoretical
  • "On the Structure of Set-Theoretic Polygon Equations," 2023, arXiv (Cornell University)

Frequent collaboration is part of their research practice. Notable coauthors include:

  • Rusuo Ye
  • Aristophanes Dimakis

Müller-Hoissen's publications appear predominantly in the following venues:

  • arXiv (Cornell University)
  • Journal of Physics A Mathematical and Theoretical
  • Symmetry Integrability and Geometry Methods and Applications
  • Springer proceedings in mathematics & statistics
  • Nonlinearity

The scientist's research contributions involve integrable systems, transformations in differential calculus, and algebraic approaches to nonlinear phenomena. Their involvement in rigorous mathematical frameworks supports advancing knowledge in both mathematical physics and nonlinear wave theory.

Best Publications

  • Spontaneous compactification with quadratic and cubic curvature terms

    Folkert Müller-Hoissen

  • Spatially homogeneous and isotropic spaces in theories of gravitation with torsion

    H Goenner;F Muller-Hoissen

  • Discrete differential calculus graphs, topologies and gauge theory

    Aristophanes Dimakis;Folkert Müller‐Hoissen

  • Noncommutative differential calculus and lattice gauge theory

    A Dimakis;F Muller-Hoissen;T Striker

  • Dimensionally Continued Euler Forms, {Kaluza-Klein} Cosmology and Dimensional Reduction

    F Muller-Hoissen

  • Teleparallelism-A viable theory of gravity?

    Folkert Müller-Hoissen;Jürgen Nitsch

  • Coset spaces and ten-dimensional unified theories

    F Muller-Hoissen;R Stuckl

  • Discrete Riemannian geometry

    Aristophanes Dimakis;Folkert Müller-Hoissen

  • Quantum mechanics on a lattice and q-deformations

    A. Dimakis;F. Müller-Hoissen

  • Non-commutative geometry of finite groups

    Klaus Bresser;Folkert Müller-Hoissen;Aristophanes Dimakis;Andrzej Sitarz

  • Differential calculus and gauge theory on finite sets

    A Dimakis;F Muller-Hoissen

  • Solutions of matrix NLS systems and their discretizations: a unified treatment

    Aristophanes Dimakis;Folkert Müller-Hoissen

  • Associahedra, tamari lattices and related structures : Tamari memorial festschrift

    Folkert Müller-Hoissen;Jean Marcel Pallo;James Stasheff

  • Modification of Einstein-Yang-Mills theory from dimensional reduction of the Gauss-Bonnet action

    F Muller-Hoissen

  • From Chern-Simons to Gauss-Bonnet

    Folkert Müller-Hoissen

  • Bi-differential calculi and integrable models

    A Dimakis;F Müller-Hoissen

  • The Korteweg–de-Vries equation on a noncommutative space-time

    A. Dimakis;F. Müller-Hoissen

  • Spherically symmetric solutions of the non-minimally coupled Einstein-Maxwell equations

    F Muller-Hoissen;R Sippel

  • Gravity actions, boundary terms and second-order field equations

    Folkert Müller-Hoissen

  • Functional representations of integrable hierarchies

    Aristophanes Dimakis;Folkert Müller-Hoissen

  • DIFFERENTIAL CALCULI ON COMMUTATIVE ALGEBRAS

    H C Baehr;A Dimakis;F Muller-Hoissen

Frequent Co-Authors

Jim Stasheff
Jim Stasheff University of Pennsylvania

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