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Mathematics

D-Index
30
Citations
3501
World Ranking
3540
National Ranking
218

Overview

Ulrich Kohlenbach is affiliated with the Technical University of Darmstadt in Germany.

Their research spans the main fields of Mathematics and Computer Science with a focus on several subfields including Computational Theory and Mathematics, Mathematical Physics, Geometry and Topology, Numerical Analysis, and Applied Mathematics.

The primary topics covered in their work include Optimization and Variational Analysis, Numerical methods in inverse problems, Advanced Optimization Algorithms Research, Advanced Banach Space Theory, Computability, Logic, AI Algorithms, Fixed Point Theorems Analysis, and Advanced Topology and Set Theory.

Frequent co-authors in their publications include Nicholas Pischke, Anton Freund, Pedro Pinto, Horaţiu Cheval, and Laurenţiu Leuştean.

Their work has appeared in a variety of publication venues, notably arXiv (Cornell University), Numerical Algorithms, Journal of Mathematical Analysis and Applications, Oberwolfach Reports, and Journal of Optimization Theory and Applications.

Recent papers published by Ulrich Kohlenbach include:

  • On Modified Halpern and Tikhonov-Mann Iterations (2023), Journal of Optimization Theory and Applications
  • On the proximal point algorithm and its Halpern-type variant for generalized monotone operators in Hilbert space (2021), Optimization Letters
  • Rates of convergence for iterative solutions of equations involving set-valued accretive operators (2020), Computers & Mathematics with Applications
  • Proof theory and non-smooth analysis (2023), Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences
  • Quantitative analysis of a subgradient-type method for equilibrium problems (2021), Numerical Algorithms

Best Publications

  • Applied Proof Theory: Proof Interpretations and their Use in Mathematics

    Ulrich Kohlenbach

  • Some logical metatheorems with applications in functional analysis

    Ulrich Kohlenbach

  • Analysing proofs in analysis

    Ulrich Kohlenbach

  • Effective moduli from ineffective uniqueness proofs. An unwinding of de La Vallée Poussin's proof for Chebycheff approximation

    Ulrich Kohlenbach

  • General logical metatheorems for functional analysis

    Philipp Gerhardy;Ulrich Kohlenbach

  • Higher Order Reverse Mathematics

    Ulrich Kohlenbach

  • Effective bounds from ineffective proofs in analysis: an application of functional interpretation and majorization

    Ulrich Kohlenbach

  • Asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces

    Ulrich Kohlenbach;Laurentiu Leuştean

  • An arithmetical hierarchy of the law of excluded middle and related principles

    Y. Akama;S. Berardi;S. Hayashi;U. Kohlenbach

  • PROOF-THEORETIC METHODS IN NONLINEAR ANALYSIS

    Ulrich Kohlenbach

  • Mann iterates of directionally nonexpansive mappings in hyperbolic spaces

    Ulrich Kohlenbach;Laurentiu Leustean

  • A Quantitative Version of a Theorem Due to Borwein-Reich-Shafrir

    Ulrich Kohlenbach

  • Mathematically strong subsystems of analysis with low rate of growth of provably recursive functionals

    Ulrich Kohlenbach

  • Proof Mining: A Systematic Way of Analysing Proofs in Mathematics

    Ulrich Kohlenbach;Paulo B. Oliva

  • On the No-Counterexample Interpretation

    Ulrich Kohlenbach

  • On quantitative versions of theorems due to F.E. Browder and R. Wittmann

    Ulrich Kohlenbach

  • Uniform asymptotic regularity for Mann iterates

    Ulrich Kohlenbach

  • Some computational aspects of metric fixed-point theory

    Ulrich Kohlenbach

  • New effective moduli of uniqueness and uniform a priori estimates for constants of strong unicity by logical analysis of known proofs in best approximation theory

    Ulrich Kohlenbach

  • Arithmetizing proofs in analysis

    Ulrich Kohlenbach

  • Foundational and Mathematical Uses of Higher Types

    Ulrich Kohlenbach

Frequent Co-Authors

Leonid Libkin
Leonid Libkin University of Edinburgh
Samuel R. Buss
Samuel R. Buss University of California, San Diego

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