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

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.