Publications
Paper
You can find all my publications on inspire, on arXiv and on orcid:
11 | Martin Bies, Mirjam Cvetič, Ron Donagi, Marielle Ong Improved statistics for F-theory standard models (Preprint) |
10 | Martin Bies Root bundles: Applications to F-theory Standard Models (Preprint) |
9 | Martin Bies, Lars Kastner Toric Geometry in OSCAR (Preprint) |
8 | Martin Bies, Mirjam Cvetič, Ron Donagi, Marielle Ong Brill-Noether-general Limit Root Bundles: Absence of vector-like Exotics in F-theory Standard Models (Journal of High Energy Physics) |
7 | Martin Bies, Mirjam Cvetič, Muyang Liu Statistics of Root Bundles Relevant for Exact Matter Spectra of F-theory MSSMs (Physical Review D) |
6 | Martin Bies, Mirjam Cvetič, Ron Donagi, Muyang Liu, Marielle Ong Root Bundles and Towards Exact Matter Spectra of F-theory MSSMs (Journal of High Energy Physics) |
5 | Martin Bies, Mirjam Cvetič, Ron Donagi, Ling Lin, Muyang Liu, Fabian Rühle Machine Learning and Algebraic Approaches towards Complete Matter Spectra in 4d F-theory (Journal of High Energy Physics) |
4 | Martin Bies, Sebastian Posur Tensor products of finitely presented functors (Journal of Algebra and Its Applications) |
3 | Martin Bies, Christoph Mayrhofer and Timo Weigand, Algebraic Cycles and Local Anomalies in F-theory (Journal of High Energy Physics) |
2 | Martin Bies, Christoph Mayrhofer and Timo Weigand, Gauge Backgrounds and Zero-Mode Counting in F-theory (Journal of High Energy Physics) |
1 | Martin Bies, Christoph Mayrhofer, Christian Pehle and Timo Weigand, Chow groups, Deligne cohomology and massless matter in F-theory |
Theses
- Cohomologies of coherent sheaves and massless spectra in F-theory. Doctoral thesis, Department of theoretical physics, University of Heidelberg (February 2018).
- Cohomologies of holomorphic line bundles in smooth and compact normal toric varieties. Master thesis,, Department of theoretical physics University of Heidelberg (February 2014). Presentation
- Intersecting D6-brane models onT2×T2×T2/(σ×Ω)andT2×T2×T2/(Z2×Z2×σ×Ω)orientifolds. Bachelor thesis, Department of theoretical physics, University of Heidelberg (August 2012). Presentation
Software
According to github, I have added about 500.000 lines of codes and modified another 500.000. My coding experience includes gap, python, julia and C++. The latest news on my software are to be found at my github-page.
I am author and maintainer of the ToricVarieties_project. Most recently, I have begun to migrate/integrate this software into the OSCAR Computer Algebra System.