Welcome to my GitHub profile! Here you'll find my academic background, research contributions, and preprints.

I hold degrees in multiple fields:

• M.Sc. Mathematics –FAU Erlangen-Nürnberg (Thesis: Groupoid Homology, Prof. Dr. Kang Li)
• B.Sc. Mathematics –FAU Erlangen-Nürnberg (Thesis:Algebraic and Topological Persistence, Prof. Dr. Kang Li)
• M.A. Information Science –Universität Regensburg (Thesis:Deep Learning for Nuclear Medicine, Prof. Dr. Elmar Lang)
• B.A. German Philology –Universität Regensburg (Thesis: Punctuation and Information Retrieval, Prof. Dr. Paul Rössler)

Additionally, I worked as a research assistant in Evolutionary Data Management underProf. Dr.-Ing. Richard Lenz.

• ORCID:0000-0002-7584-7287
• arXiv:Research Publications

1. Universal Coefficients for Ètale Groupoid Homology (arXiv)
   M.Sc. Mathematics, FAU Erlangen-Nürnberg, Supervisor: Prof. Dr. Kang Li
2. Algebraic and Topological Persistence (arXiv)
   B.Sc. Mathematics, FAU Erlangen-Nürnberg, Supervisor: Prof. Dr. Kang Li
3. Deep Learning Schätzung zur absorbierten Strahlungsdosis für die Nuklearmedizin (arXiv)
   M.A. Information Science, Universität Regensburg, Supervisor: Prof. Dr. Elmar Lang
4. Interpunktionsplattform mit linguistischen Moduln für Information Retrieval
   B.A. German Linguistics, Universität Regensburg, Supervisor: Prof. Dr. Paul Rössler

1. Homological Time Series Analysis of Sensor Signals from Power Plants (arXiv)
   Machine Learning for Irregular Time Series, Springer, Switzerland
2. Estimate of Neural Network Dimension Using Algebraic Topology & Lie Theory (arXiv)
   Lecture Notes in Computer Science, Springer, Switzerland
3. Persistent Homology as Stopping-Criterion for Voronoi Interpolation (arXiv)
   Proceedings of International Workshop on Combinatorial Image Analysis
4. Deep Learning Schätzung zur absorbierten Strahlungsdosis für die Nuklearmedizin (arXiv)
   Universität Regensburg, Public Library
5. Zur Verwendung des Paradigmas 'brauchen' mit und ohne 'zu' mit Infinitiv (LingBuzz)
   Logos, Berlin

1. Kettenhomotopien (PDF)
   Graduate Seminar on Homological Algebra in Representation Theory, FAU Erlangen-Nürnberg
2. Hochschild(ko)homologie (PDF)
   Graduate Seminar on Homological Algebra in Representation Theory, FAU Erlangen-Nürnberg
3. Spectral Sequences – Leray-Serre Spectral Sequence (PDF)
   Graduate Seminar on Spectral Theory in Mathematical Physics, FAU Erlangen-Nürnberg
4. Beschränkte Fredholmoperatoren und deren Index auf separablen Hilberträumen (PDF)
   Graduate Seminar on Spectral Flow in Functional Analysis, FAU Erlangen-Nürnberg
5. Notes on Simplicial and Singular Homology (PDF)
   Graduate Seminar on Topics in Topology, FAU Erlangen-Nürnberg
6. Natürliche Transformationen, Äquivalenzen von Kategorien, das Lemma von Yoneda (PDF)
   Graduate Seminar on Sheaf Theory, FAU Erlangen-Nürnberg

📩 Feel free to reach out via GitHub or check out my latest research onarXiv.

Popular repositoriesLoading

1. MADVKMADVKPublic archive

   Deep Learning Estimation of Absorbed Dose for Nuclear Medicine Diagnostics.

   Python 5 2

2. TopoDataTopoDataPublic archive

   Lecture notes for Topological Data Analysis.

   TeX 4

3. NTOPLNTOPLPublic archive

   Estimation of Neural Network Dimension using Algebraic Topology and Lie Theory.

   Python 2

4. TwirlFlakeTwirlFlakePublic archive

   Homological Time Series Analysis of Sensor Signals from Power Plants.

   Python 2

5. SIMLSIMLPublic archive

   Persistent Homology as Stopping-Criterion for Voronoi Interpolation.

   TeX 1

6. TopoSheafTopoSheafPublic archive

   Handout and notes for a seminar in topology hold at FAU with focus on sheaf theory.

   TeX 1