# 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*.