Publications & Talks
My academic research was carried out at Graz University of Technology (2019–2023) within the FWF Doctoral Program in Discrete Mathematics, focusing on combinatorics, number theory, and the analysis of recursive sequences. For my current work in applied AI, optimisation and AI governance, see the Blog.
Publications
- 6.
C. Heuberger, D. Krenn and G. F. Lipnik, "A Note on the Relation between Recognisable Series and Regular Sequences, and their Minimal Linear Representations", J. Symbolic Comput., vol. 123, 2024.
- 5.
G. F. Lipnik, M. G. Madritsch and R. F. Tichy, "A Central Limit Theorem for Integer Partitions into Small Powers", Monatsh. Math., vol. 203, pp. 149–173, 2024.
- 4.
C. Elsholtz and G. F. Lipnik, "Exponentially Larger Affine and Projective Caps", Mathematika, vol. 69, pp. 232–249, 2023.
- 3.
C. Elsholtz, B. Klahn and G. F. Lipnik, "Large Subsets of ℤₘⁿ without Arithmetic Progressions", Des. Codes Cryptogr., vol. 91, pp. 1443–1352, 2023.
- 2.
C. Heuberger, D. Krenn and G. F. Lipnik, "Asymptotic Analysis of q-Recursive Sequences", Algorithmica, vol. 84, pp. 2480–2532, 2022.
- 1.
D. Krenn and G. F. Lipnik, "k-regular Sequences in SageMath", module in SageMath 9.4, 2021. Software
Talks
Conference Talks
- 06/2026
- 09/2020
Constructions of Large Caps
Additive Combinatorics 2020, CIRM, Luminy (France)
Seminar Talks
- 11/2022
- 12/2021
Asymptotic Analysis of q-Recursive Sequences
Probability and Combinatorics Seminar, Uppsala University (Sweden)
- 04/2021
- 01/2021
- 09/2019
Asymptotic Analysis of q-Recursive Sequences: General Study and Selected Combinatorial Sequences
Defence of the master thesis, University of Klagenfurt (Austria)
- 05/2017
The Johnson-Lindenstrauss Lemma: Reduction of Dimensions in Euclidean Spaces
Seminar in Discrete Mathematics, University of Klagenfurt (Austria)
Workshops
- 09/2019
Moderne Erstellung von Schularbeiten und Vorwissenschaftlichen Arbeiten mit LaTeX
Komm MIT 2019 – 2. Tag der Mathematik und Informatik, Klagenfurt (Austria)
- 2017–2019
Von der Korrektur kleiner Fehler: Prüfziffern und Kodierung
Workshop sessions for school pupils within TECHtalents, Klagenfurt (Austria)
Academic Theses
- 3.
G. F. Lipnik, "On Integer Partitions, Caps, Progression-Free Sets and q-Regular Sequences", PhD thesis, Graz University of Technology, 2023.
- 2.
G. F. Lipnik, "Asymptotic Analysis of q-Recursive Sequences: General Study and Selected Combinatorial Sequences", Master Thesis, University of Klagenfurt, 2019.
- 1.
G. F. Lipnik, "On the Boundedness of q-Regular Sequences", Bachelor Thesis, University of Klagenfurt, 2017.