Holger Thies
I am a (Program-Specific) Lecturer in the Mathematical Informatics Group at the Graduate School of Human and Environmental Science, Kyoto University.Research Interests
- Computability and Complexity in Analysis
- Validated Numerics
- Algorithms for Exact Real Arithmetic
- Ordinary Differential Equations
- Formal proofs and proof assistants
Publications
See also DBLP
- Michal Konečný, Sewon Park, Holger Thies: Extracting efficient exact real number computation from proofs in constructive type theory. Journal of Logic and Computation (2024), exae066.
- Sewon Park, Holger Thies: A Coq Formalization of Taylor Models and Power Series for Solving Ordinary Differential Equations. Proc. of the 15th International Conference on Interactive Theorem Proving (ITP2024) (2024), 30:1-30:19.
- Michal Konečný, Sewon Park, Holger Thies: Formalizing Hyperspaces for Extracting Efficient Exact Real Computation. Proc. of the 48th International Symposium on Mathematical Foundations of Computer Science (MFCS 2023) (2023), 59:1--59:16.
- Michal Konečný, Sewon Park, Holger Thies: Certified Computation of Nondeterministic Limits. NASA Formal Methods Symposium 2022 (2022), pp. 771-789.
- Svetlana Selivanova, Florian Steinberg, Holger Thies, Martin Ziegler: Exact Real Computation of Solution Operators for Linear Analytic Systems of Partial Differential Equations. Proc. of the 23rd International Workshop on Computer Algebra in Scientific Computing (CASC 2021) (2021), pp. 370-390.
- Michal Konečný, Sewon Park, Holger Thies: Axiomatic Reals and Certified Efficient Exact Real Computation. Proc. of the 27th International Workshop on Logic, Language, Information, and Computation (Wollic 2021) (2021), pp. 252-268.
- Florian Steinberg, Laurent Thery, Holger Thies: Computable analysis and notions of continuity in Coq. Logical Methods of Computer Science, Vol. 17(2) (2021), .
- Michal Konečný, Florian Steinberg, Holger Thies: Computable Analysis for Verified Exact Real Computation. Proc. of the 40th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2020), December 14-18, 2020. (2020), 50:1-50:18.
- Michal Konečný, Florian Steinberg, Holger Thies: Continuous and Monotone Machines. Proc. of the 45rd International Symposium on Mathematical Foundations of Computer Science (MFCS 2020), August 24-28, 2020. (2020), pp. 56:1-56:16.
- Florian Steinberg, Laurent Thery, Holger Thies: Quantitative Continuity and Computable Analysis in Coq. Proc. of the 10th International Conference on Interactive Theorem Proving (ITP 2019), September 9-12, 2019, Portland, OR, USA (2019), pp. 28:1-28:21.
- Akitoshi Kawamura, Florian Steinberg, Holger Thies: Second-order linear-time computability with applications to computable analysis. Proc. of the 15th Annual Conference on Theory and Applications of Models of Computation (TAMC 2019), April 13-16, 2019, Kitakyushu, Japan (2019), Chapter 21.
- Akitoshi Kawamura, Holger Thies, Martin Ziegler: Average-case polynomial-time computability of Hamiltonian dynamics. Proc. of the 43rd International Symposium on Mathematical Foundations of Computer Science (MFCS 2018), August 27-31, 2018, Liverpool, UK. (2018), pp. 30:1-30:17.
- Akitoshi Kawamura, Florian Steinberg, Holger Thies: Parameterized Complexity for Uniform Operators on Multidimensional Analytic Functions and ODE Solving. Proc. of the 25th International Workshop on Logic, Language, Information, and Computation (WoLLIC 2018), July 24-27, 2018, Bogota, Colombia (2018), pp. 223-236.
Preprints
- Michal Konečný, Sewon Park, Holger Thies: Formalizing Hyperspaces and Operations on Subsets of Polish spaces over Abstract Exact Real Numbers.
- Michal Konečný, Florian Steinberg, Holger Thies: Continuous and monotone machines.
Theses
- Holger Thies: Uniform computational complexity of ordinary differential equations with applications to dynamical systems and exact real arithmetic. PhD thesis, Graduate School of Arts and Sciences, University of Tokyo (2018)
- Holger Thies: Case Studies in Exact Real Arithmetic -- Implementations and empirical Evaluation. Master thesis, Department of Mathematics, Darmstadt University of Technology (2015)
- Holger Thies: Complexity Theory and Practice of Integrating Lipschitz-continuous functions in Exact Real Arithmetic (in German). Bachelor thesis, Department of Mathematics, Darmstadt University of Technology (2011)
Employment
Program-Specific Lecturer
Kyoto University, Graduate School of Human and Environmental Science 04/2021 -
Assistant Professor
Kyushu University, Department of Informatics Mathematical Engineering Lab
05/2019 - 04/2021
JSPS Research Fellow (PD)
Kyushu University 09/2018 - 05/2019
JSPS Research Fellow (DC2)
University of Tokyo04/2018 - 08/2018
Researcher (part-time)
Darmstadt University of Technology 04/2015 - 08/2015
Education
University of Tokyo
Ph.D., Graduate School of Arts and Science, Computing Systems Research Group
09/2015 - 08/2018
Darmstadt University of Technology
MSc., Mathematics with Computer Science
04/2013 - 04/2015
Darmstadt University of Technology
BSc., Mathematics
10/2009 - 04/2013
Darmstadt University of Technology
BSc., Computer Science
10/2008 - 10/2011
Long-term research stays etc.
For short-term stays see Travel page
University of Tokyo
Exchange Research Student, Graduate School of Information Science and Technology
10/2013 - 03/2014
University of Oslo
Exchange Student, Department of Mathematics
08/2011 - 06/2012
Selected Conference Talks (Show All)
Autumn school Proof and Computation
Talk: Extracting efficient programs from proofs in analysis
17th International Conference on Computability, Complexity and Randomness
Talk: Applications of Exact Real Computation in Particle Physics
Fifth Workshop on Digitalization and Computable Models
Talk: Formal verification and program extraction for efficient computations over real numbers and hyperspaces (Invited Talk)
Continuity, Computability, Constructivity - From Logic to Algorithms 2023
Talk: Advances in verified set and function calculi in Coq
Autumn school Proof and Computation
Talk: Complexity Theory in Analysis with Applications to Differential Equations (Invited Talk)
Computability, Continuity, Constructivity - from Logic to Algorithms 2019
Talk: Analytic ordinary differential equations - from computational complexity to efficient and verified algorithms (Invited talk)
Sixteenth International Conference on Computability and Complexity in Analysis
Talk: Formal proofs about metric spaces and continuity in Coq
Research Grants
Kakenhi Grant-in-Aid for Early-Career Scientists
Research on Computable Analysis and Verification of Efficient Exact Real Computation,
Grant number 24K20735 (Principal Investigator)
04/2024 - 03/2029
Kakenhi Grant-in-Aid for Scientific Research (B)
連続な空間上の計算とその複雑さの研究 ,
Grant number 23K28036 (Co-Investigator, Princial Investigator: Hideki Tsuiki)
04/2023 - 03/2028
Kakenhi Grant-in-Aid for Early-Career Scientists
Computational complexity and practice of verified and efficient algorithms for dynamical systems,
Grant number 20K19744 (Principal Investigator)
04/2020 - 03/2025
Kakenhi Grant-in-Aid for JSPS Fellows
Towards efficient solvers for ordinary differential equations in exact real arithmetic,
Grant number 18J10407 (Principal Investigator)
04/2018 - 03/2020
Links
Junhee Cho / Akitoshi Kawamura / Norbert Müller / Sewon Park / Florian Steinberg / Martin ZieglerLaboratory for Data Science Frontier Research / Circuits, Systems, and Communication Networks Laboratory / Computing System Research Group, University of Tokyo / Logic Group, TU Darmstadt / Imai Lab, University of Tokyo / Ishihara Lab, JAIST / Complexity and Real Computation Lab, KAIST