Research Publications and Materials
Published Papers
- F. Głoch, D. E. Kędzierski, P. Krasoń, Corrigendum: Algorithms for determination of t-module structures on some extension groups , International Journal of Number Theory, 22 (2026), no. 9, 2175–2178. [DOI]
- D. E. Kędzierski, P. Krasoń, Weil-Barsotti formula for t-modules , Journal of Number Theory, 278 (2026), 1–25. [DOI]
- F. Głoch, D. E. Kędzierski, P. Krasoń, Algorithms for determination of t-module structures on some extension groups , International Journal of Number Theory, 21 (2025), no. 8, 1889–1922. [DOI]
- D. E. Kędzierski, P. Krasoń, On Ext1 for Drinfeld Modules , Journal of Number Theory, 256 (2024), 97–135. [DOI]
- D. E. Kędzierski, A. Linzi, H. Stojałowska, Characteristic, C-Characteristic and Positive Cones in Hyperfields , Mathematics, 11 (2023), no. 3, Article 779. [DOI]
- D. E. Kędzierski, H. Meltzer, Modules attached to extension bundles , Boletín de la Sociedad Matemática Mexicana, 28 (2022), no. 2, Article 33. [DOI]
- D. E. Kędzierski, H. Meltzer, Exceptional modules over wild canonical algebras , Colloquium Mathematicum, 162 (2020), no. 2, 159–180. [DOI]
- D. E. Kędzierski, H. Lenzing, H. Meltzer, Matrix factorizations for domestic triangle singularities , Colloquium Mathematicum, 140 (2015), 239–278. DOI: 10.4064/cm140-2-6. [Publisher]
- D. E. Kędzierski, H. Meltzer, Schofield induction for sheaves on weighted projective lines , Communications in Algebra, 41 (2013), no. 6, 2033–2039. [DOI]
- D. E. Kędzierski, H. Meltzer, Indecomposable representations for extended Dynkin quivers of type Ẽ8 , Colloquium Mathematicum, 124 (2011), no. 1, 95–116. DOI: 10.4064/cm124-1-7. [Publisher]
Preprints
- D. E. Kędzierski, D. Koellmer, P. Krasoń, Computing extensions of flag-jump t-modules , arXiv:2611.15116 (2026). [arXiv]
- D. E. Kędzierski, P. Krasoń, Compatible Bases and Actuator Scheduling , arXiv:2610.03353 (2026). [arXiv]
- D. E. Kędzierski, P. Krasoń, Duality for t-modules: The Difficult Cases , arXiv:2606.14399 (2026). [arXiv]
- D. E. Kędzierski, P. Krasoń, Homological Methods in the Generalization of Drinfeld Modules , arXiv:2512.07607 (2025). [arXiv]
- D. E. Kędzierski, K. Kuhlmann, H. Stojałowska, Algorithmic Construction of Real Hyperfields from Minimal Axioms , arXiv:2508.19418 (2025). [arXiv]
Software and Research Data
-
D. E. Kędzierski, D. Koellmer, P. Krasoń,
T-Ext Explorer: Computing extensions of flag-jump
t-modules,
Mathematica implementation, version 1.0.0,
Zenodo (2026).
[DOI]
A Mathematica implementation of the flag-jump reduction algorithm for computing extension groups of Anderson t-modules.
-
D. E. Kędzierski, D. Koellmer, P. Krasoń,
t-Ext Explorer
,
interactive Python/SymPy web application (2026).
[Online Tool]
[GitHub]
An interactive computational tool for exploring extension groups of Anderson t-modules and the associated exact sequences, using the flag-jump reduction algorithm. Built with Python and SymPy.
-
D. E. Kędzierski, P. Krasoń,
TailBasis: Compatible Bases and Actuator Scheduling,
Wolfram Language software package, version 0.1.0,
Zenodo (2026).
[DOI]
A computational package accompanying the preprint Compatible Bases and Actuator Scheduling. It provides algorithms for constructing compatible bases, profile-preserving actuator scheduling, and verification routines, together with example notebooks.
-
D. E. Kędzierski, H. Stojałowska, K. Kuhlmann,
Database for Real Hyperfields Algorithm,
research dataset, Zenodo (2025).
[DOI]
Computational data concerning finite real hyperfields with cyclic positive cones, including numerical results related to their classification and C-characteristics.