Books

1. Lukas Silvester Barth, Fatemeh Fahimi, Parvaneh Joharinad, Jürgen Jost and Janis Keck, Data visualization with category theory and geometry, Mathematics of Data, Springer Nature (2025)

Book chapters

1. Lukas Silvester Barth, A Geometric Framework to Compare PDEs and Classical Field Theories, pages 177--251, Groups, Invariants, Integrals, and Mathematical Physics: The Wisla 20-21 Winter School and Workshop, Springer Nature (2023)

Articles

1. Lukas Silvester Barth and Paulo von Petersenn, Probabilistic and nonlinear compressive sensing, arXiv: 2509.15060 (Sep 2025)
2. Lukas Silvester Barth and Paulo von Petersenn, Efficient compression of neural networks and datasets, arXiv: 2505.17469 (May 2025)
3. Lukas Silvester Barth, Parvaneh Joharinad, Jürgen Jost, Walter Wenzel, Geometry and Dress groups with non-symmetric cost functions, arXiv: 2506.00590 (May 2025)
4. Lukas Silvester Barth, Fatemeh Fahimi, Parvaneh Joharinad, Jürgen Jost and Janis Keck, Merging Hazy Sets with m-Schemes: A Geometric Approach to Data Visualization, arXiv: 2503.01664 (Mar 2025)
5. Lukas Silvester Barth, Fatemeh Fahimi, Parvaneh Joharinad, Jürgen Jost and Janis Keck, IsUMap: Manifold Learning and Data Visualization leveraging Vietoris-Rips filtrations, Proceedings of the AAAI conference on artificial intelligence (Apr 2025), arXiv: 2407.17835 (Jul 2024)
6. Lukas Silvester Barth, Fatemeh Fahimi, Parvaneh Joharinad, Jürgen Jost, Janis Keck and Thomas Jan Mikhail, Fuzzy simplicial sets and their application to geometric data analysis, Applied Categorical Structures (Sep 2025), arXiv: 2406.11154 (Jun 2024)
7. Sathyanarayana Paladugu, Agnese Callegari, Yazgan Tuna, Lukas Barth, Siegfried Dietrich, Andrea Gambassi and Giovanni Volpe, Nonadditivity of critical Casimir forces, Nature Communications (Apr 2016), arXiv: 1511.02613 (Nov 2015)

See also my Google Scholar profile.