About Me

I am working on the algebraic study of differential equations in characteristic zero as well as in positive characteristic. In particular, I am interested in work regarding the algebraicity of solutions of differential equations, (differential) Galois groups, the Tannakian formalism, hypergeometric functions, work related to the Grothendieck \(p\)-curvature conjecture, and effective aspects thereof. Moreover, I have a strong interest in combinatorics.

I started my PhD studies in October 2022. Before, I also obtained my Bachelor’s and Master’s degree at the University of Vienna; my studies lasted from 2017-2020, and from 2020-2022, respectively.

For an extended CV see here.

Publications and Preprints

Preprints

• (with Radchenko, D., Zudilin, W.) An integrality phenomenon, 2026. preprint.
• (with Gangl, M., Rubey, M.) Unexpectedly, a Symmetry on Unlabeled Graphs, 2025. preprint.
• (with Caruso, X., Vargas-Montoya, D.) Galois groups of reductions modulo \(p\) of \(D\)-finite series, 2025. preprint.
• (with Hauser, H., Kawanoue, H.) On Abel’s Problem about Logarithmic Integrals in Positive Characteristic, 2024. preprint.
• (with Hauser, H.) Fuchs’ theorem on linear differential equations in arbitrary characteristic, 2023. preprint.

Publications

• (with Pannier, L.) An Effective Version of the \(p\)-Curvature Conjecture for Order One Differential Equations. To appear in Math. Comp. 26pp. 2026.
• (with Caruso, X.) Algebraic and Arithmetic Attributes of Hypergeometric Functions in SageMath, Software Presentation at ISSAC ’26, To appear in ACM SIGSAM Communications in Computer Algebra. 4pp. 2026.
• (with Caruso, X.) Algorithms for Algebraic and Arithmetic Attributes of Hypergeometric Functions. ISSAC ’26: Proceedings of the 2026 International Symposium on Symbolic and Algebraic Computation. 87-95. 2026. DOI: 10.1145/3815436.3815475
• (with Caruso, X., Vargas-Montoya, D., Zudilin, W.) Galois Groups of Apéry-like Series Modulo Primes. Bull. Austral. Math. Soc., 114(1): 65-78. 2026. DOI: 10.1017/S0004972725100932
• (with Yurkevich, S.) Algebraicity of hypergeometric functions with arbitrary parameters. Bull. London Math. Soc., 56: 2824-2846. 2024. DOI: 10.1112/blms.13103
• (with Hula, A., Schwieger, K., Saleh, P., Neumann, M., Ecker, H.) Deriving a joint risk estimate from dynamic data collected at motorcycle rides. Accident Analysis & Prevention, 159. 2021. DOI: 10.1016/j.aap.2021.106297

Theses

• Arithmetic and Effective Aspects of Linear Differential Equations. 2026. PhD thesis submitted at the University of Vienna.
• A normal form theorem for regular singular differential operators in positive characteristic. 2022. Master’s thesis submitted at the University of Vienna.
• The Kakeya Problem. 2020. Bachelor’s thesis submitted at the University of Vienna.

Talks

2026

• July 17, 2026, Foundations of Computational Mathematics (FOCM’26) – Workshop on Symbolic Analysis, Vienna, Austria, “An Effective Version of the Grothendieck \(p\)-Curvature Conjecture for Order One Equations”. (Slides).
• July 14, 2026, International Symposium on Symbolic and Algebraic Computation (ISSAC), Oldenburg, Germany, “Algorithms for Algebraic and Arithmetic Attributes of Hypergeometric Functions”. (Slides).
• July 2, 2026, 2.30 pm., PhD Defense, University of Vienna, Austria, “Arithmetic and Effective Aspects of Linear Differential Equations”. (Slides).
• June 11, 2026, Seminar Algebra and Discrete Mathematics, JKU Linz, Austria, “Solution Theory of Differential Equations in Positive Characteristic”. (Slides).
• April 24, 2026, Lange Nacht der Forschung (“Long Night of Research”), Vienna, Austria, Was machen Mathematiker:innen eigentlich? (“What Do Mathematicians Actually Do?”) – Outreach Program, with Mona Gatzweiler, Julia Hörmayer, Markus Reibnegger, Florian Schreier-Aigner. (Poster 1, Poster 2).
• March 2-6, 2026, Journées nationales de calcul formel, CIRM, Marseille, France, “An Effective Version of the p-curvature Conjecture Part 1”. (Slides).
• February 26, 2026, Number Theory Seminar of the Institut Fourier, Grenoble, France, “Galois Groups of D-finite Series modulo Primes”.
• February 10, 2026, Séminaire AG, UVSQ, Versailles, France, “Galois Groups of D-finite Series modulo Primes”.

2025

• October 16, 2025, Pascaline Seminar, ENS Lyon, France, “Indefinite Integration – An Arithmetic Approach”. (Slides).
• July 15, 2025, 30th Applications of Computer Algebra (ACA 2025) – Algebraic and Algorithmic Aspects of Differential and Integral Operators Session, Heraklion, Greece, “An Effective Version of the Grothendieck \(p\)-Curvature Conjecture for Order One Equations”. (Slides).
• June 13, 2025, Geometry, Arithmetic and Differential Equations of Periods – Focused Meeting: Differential Equations and Prime Numbers, IMPA, Rio de Janeiro, Brazil – online, “Galois Groups of D-finite Series modulo Primes”. (Slides, Video).
• May 21, 2025, Number theory lunch seminar, MPIM Bonn, Germany, “Galois Groups of D-finite Series modulo Primes”.
• March 7, 2025, Kolchin Seminar in Differential Algebra, City University of New York, US – online, “Galois Groups of D-finite Series modulo Primes”. (Slides).

2024

• November 26, 2024, Arbeitsgemeinschaft Diskrete Mathematik, University of Vienna, Austria, “An Unexpected Symmetry on Graphs”.
• November 12, 2024, Séminaire Différentiel, UVSQ, Versailles, France, “Fuchs’ Theorem, an Exponential Function, and Abel’s Problem in Positive Characteristic”. (Slides).
• May 17, 2024, MATHEXP-Polsys Seminar, INRIA Paris-Saclay, France, “Fuchs’ Theorem, an Exponential Function, and Abel’s Problem in Positive Characteristic”. (Slides).
• March 26, 2024, Functional Equations in LIMoges: FELIM 2024, University of Limoges, France, “Algebraicity of Hypergeometric Functions with Arbitrary Parameters”. (Slides).
• February 15, 2024, Workshop Fuchsian Differential Equations in Zero and Positive Characteristic, Lisbon, Portugal, “Fuchs’ Theorem, an Exponential Function, and Abel’s Problem in Positive Characteristic”.
• January 23, 2024, Arbeitsgemeinschaft Diskrete Mathematik, University of Vienna, Austria, “Algebraicity of Hypergeometric Functions with Arbitrary Parameters”. (Slides).

2023

• November 9, 2023, Séminaire Calcul Formel, University of Limoges, France, “Fuchs’ Theorem and an Exponential Function in Positive Characteristic”.
• November 6, 2023, Séminaire de l’équipe combinatoire et interactions, LaBRI, University of Bordeaux, France, “Algebraicity of Hypergeometric Functions with Arbitrary Parameters”. (Slides).
• October 18, 2023, Seminar Commutative Algebra & Differential Equations, University of Vienna, Austria, “An Exponential Function in Characteristic p”.
• February 17, 2023, Workshop Periods, Lisbon, Portugal, “An Exponential Function in Characteristic p”.

2022

• May 13, 2022, Workshop Fuchsian Differential Equations, Lisbon, Portugal, “The Fuchs-Frobenius Method in Characteristic p”.

Teaching

I am/was teaching the following courses at the University of Vienna:

• Summer Term 2026: Exercise class on Algebra 2
• Winter Term 2025/2026: Exercise class on Introduction to Linear Algebra (in the Data Science Curriculum)
• Winter Term 2024/2025, Winter Term 2025/2026: Exercise classes on Introduction to Mathematics
• Summer Term 2022: Tutorials on Discrete Mathematics
• Summer Term 2020 – Winter Term 2021/2022: Tutorials for first and second semester students