Jürgen Jost

Santa Fe Institute — United States

Mathematics · Physical Sciences

62h-index14.9kcitations965works0.62yr avg
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Research Topics

Geometric Analysis and Curvature Flows(199), Geometry and complex manifolds(95), Advanced Mathematical Modeling in Engineering(92), Topological and Geometric Data Analysis(87), Nonlinear Partial Differential Equations(71)

Publications964 total

Cohomological Field Theories and First-Order Nonlinear PDEs
Communications in Mathematical Physics·2025Open Access
Probabilistic Foundations of Fuzzy Simplicial Sets for Nonlinear Dimensionality Reduction
arXiv (Cornell University)·2025Open Access
Curvature as a tool for evaluating dimensionality reduction and estimating intrinsic dimension
arXiv (Cornell University)·2025Open Access
Fuzzy Simplicial Sets and Their Application to Geometric Data Analysis
Applied Categorical Structures·2025· 2 citedOpen Access
Strong Lyapunov functions for rough systems
arXiv (Cornell University)·2025Open Access
Diachronic data analysis supports and refines conceptual metaphor theory
PLOS complex systems.·2025· 2 citedOpen Access
Impact of symmetry in local learning rules on predictive neural representations and generalization in spatial navigation
PLoS Computational Biology·2025Open Access
Geometry and Dress groups with non-symmetric cost functions
arXiv (Cornell University)·2025Open Access
Node persistence from topological data analysis reveals changes in brain functional connectivity
2025· 1 citedOpen Access
Efficient Decomposition of Forman-Ricci Curvature on Vietoris-Rips Complexes and Data Applications
arXiv (Cornell University)·2025Open Access
IsUMap: Manifold Learning and Data Visualization Leveraging Vietoris-Rips Filtrations
Proceedings of the AAAI Conference on Artificial Intelligence·2025· 4 citedOpen Access
Das Bochumer Konzept der Fallseminare und Therapieassistenzen
Zeitschrift für Klinische Psychologie und Psychotherapie·2025· 1 citedOpen Access
Merging Hazy Sets with m-Schemes: A Geometric Approach to Data Visualization
arXiv (Cornell University)·2025Open Access
Efficient set-theoretic algorithms for computing high-order Forman-Ricci curvature on abstract simplicial complexes
Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences·2025· 1 cited
Uniqueness of Dirac-harmonic maps from a compact surface with boundary
arXiv (Cornell University)·2025Open Access
Boundary partial regularity for a class of Dirac-harmonic maps
arXiv (Cornell University)·2025Open Access
China's rise in the chemical space and the decline of US influence
2025Open Access
UMAP
Mathematics of data·2025· 1 citedOpen Access
Historical Introduction
Classic texts in the sciences·2025
Bernhard Riemann - Über die Hypothesen, welche der Geometrie zu Grunde liegen
Klassische Texte der Wissenschaft·2025Open Access
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Frequent Co-authors

Guofang Wang(7), Fatihcan M. Atay(4), Nils Bertschinger(4), Eckehard Olbrich(3), Nihat Ay(3), Weiyue Ding(3), M. P. Joy(2), Johannes Rauh(2), Shiping Liu(2), Qun Chen(2), Anirban Banerjee(2), Türker Bı́yı́koğlu(2), Y. L. Xin(2), Andreas Wende(1), Hông Vân Lê(1), Lorenz Schwachhöfer(1), Danijela Horak(1), Jiayu Li(1), Shing‐Tung Yau(1), Joseph T. Lizier(1)