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Mathematics

D-Index
69
Citations
17907
World Ranking
293
National Ranking
19

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Jürgen Jost is affiliated with the Max Planck Institute for Mathematics in the Sciences in Germany. The body of their research primarily involves mathematics and computer science, with significant contributions in subfields such as computational theory and mathematics, applied mathematics, geometry and topology, statistical and nonlinear physics, and cognitive neuroscience.

The scientist's work focuses on several main topics including topological and geometric data analysis, geometric analysis and curvature flows, homotopy and cohomology in algebraic topology, complex network analysis techniques, functional brain connectivity studies, neural dynamics and brain function, and graph theory and applications.

Jürgen Jost has published in multiple frequent venues, with a notable presence in arXiv (Cornell University) with 43 publications, bioRxiv (Cold Spring Harbor Laboratory) with 6, Theory in Biosciences and Scientific Reports each with 4, and Information Geometry with 3 publications.

The recent papers authored or co-authored by Jost include:

  • Coupled dynamics on hypergraphs: Master stability of steady states and synchronization, 2020, Physical Review. E
  • An exploratory study of heuristics for anticipating prices, 2021, Management Decision
  • FORMAN-RICCI CURVATURE FOR HYPERGRAPHS, 2021, Advances in Complex Systems
  • Random walks and Laplacians on hypergraphs: When do they match?, 2022, Discrete Applied Mathematics
  • An atlas of fragrance chemicals in children's products, 2021, The Science of The Total Environment

Frequent co-authors include Parvaneh Joharinad, Guillermo Restrepo, Lukas Silvester Barth, Janis Keck, and Areejit Samal.

Jost has also contributed to several book publications under different publishers. Under Springer Nature, notable books include "The Evolution of Chemical Knowledge" (2022), "Lavoisier" (2023), and "Bernhard Riemann - Über die Hypothesen, welche der Geometrie zu Grunde liegen" (2025). Within Mathematics of Data, the books "Mathematical Principles of Topological and Geometric Data Analysis" (2023) and "Data Visualization with Category Theory and Geometry" (2025) are credited. Additionally, Springer International Publishing includes "Niels Bohr" (2022) and "Bernhard Riemann - On the Hypotheses Which Lie at the Bases of Geometry" (2025).

The scientist's academic recognition includes being named a Fellow of the American Mathematical Society in 2013.

Best Publications

  • Riemannian geometry and geometric analysis

    Jürgen Jost

  • Two-dimensional geometric variational problems

    Jürgen Jost

  • Nonpositive Curvature: Geometric and Analytic Aspects

    Jürgen Jost

  • Compact Riemann Surfaces: An Introduction to Contemporary Mathematics

    Jürgen Jost

  • Spectral properties and synchronization in coupled map lattices.

    Jürgen Jost;Jürgen Jost;Maliackal Poulo Joy

  • Delays, Connection Topology, and Synchronization of Coupled Chaotic Maps

    Fatihcan M. Atay;Jürgen Jost;Andreas Wende

  • Spectra of combinatorial Laplace operators on simplicial complexes

    Danijela Horak;Jürgen Jost;Jürgen Jost;Jürgen Jost

  • Quantifying unique information

    Nils Bertschinger;Johannes Rauh;Eckehard Olbrich;Jürgen Jost

  • Equilibrium maps between metric spaces

    Jürgen Jost

  • Compact Riemann Surfaces

    Jürgen Jost

  • Convex functionals and generalized harmonic maps into spaces of non positive curvature.

    Jürgen Jost

  • Ollivier's Ricci curvature, local clustering and curvature dimension inequalities on graphs

    Jürgen Jost;Jürgen Jost;Jürgen Jost;Shiping Liu;Shiping Liu;Shiping Liu

  • Existence results for mean field equations

    Weiyue Ding;Jürgen Jost;Jiayu Li;Guofang Wang

  • The differential equation $\Delta u = {8 \pi - 8 \pi he}^u$ on a compact Riemann surface

    Weiyue Ding;Jurgen Jost;Jiayu Li;Guofang Wang

  • Harmonic maps between surfaces : with a special chapter on conformal mappings

    Jürgen Jost

  • The Lp-Spaces

    Jürgen Jost

  • A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry

    Jürgen Jost;Shing-Tung Yau

  • The differential equation on a compact Riemann surface

    Weiyue Ding;Jürgen Jost;Jiayu Li;Guofang Wang

  • Harmonic maps between surfaces

    Jürgen Jost

  • Harmonic mappings and minimal submanifolds

    S. Hildebrandt;J. Jost;K. O. Widman

  • Partial differential equations

    Unknown

Frequent Co-Authors

Guofang Wang
Guofang Wang University of Freiburg
Sergio Albeverio
Sergio Albeverio University of Bonn
Shing-Tung Yau
Shing-Tung Yau Tsinghua University
Boris Gutkin
Boris Gutkin École Normale Supérieure
Peter F. Stadler
Peter F. Stadler Leipzig University
Wenlian Lu
Wenlian Lu Fudan University
Karl-Theodor Sturm
Karl-Theodor Sturm University of Bonn
Michael Röckner
Michael Röckner Bielefeld University
Shao-Ming Fei
Shao-Ming Fei Capital Normal University
Rudolf Rübsamen
Rudolf Rübsamen Leipzig University

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