# Publications

Below is a summary of my publications. For more details visit Inspire, ArXiv, Orcid or Scopus.

## Peer Reviewed Publications

1 | Martin Bies Root bundles: Applications to F-theory Standard Models, Proceedings of Symposia in Pure Mathematics, 2024. (See here for a preprint.) |

2 | 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, November 2022. |

3 | Martin Bies, Mirjam Cvetič, Muyang Liu Statistics of Root Bundles Relevant for Exact Matter Spectra of F-theory MSSMs, Physical Review D, September 2021. |

4 | 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, September 2021. |

5 | Martin Bies, Sebastian Posur Tensor products of finitely presented functors, Journal of Algebra and Its Applications, July 2021. |

6 | 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, Januar 2021. |

7 | Martin Bies, Christoph Mayrhofer and Timo Weigand, Algebraic Cycles and Local Anomalies in F-theory, Journal of High Energy Physics, November 2017. |

8 | Martin Bies, Christoph Mayrhofer and Timo Weigand, Gauge Backgrounds and Zero-Mode Counting in F-theory, Journal of High Energy Physics, November 2017. |

## Preprints

9 | Martin Bies, Mirjam Cvetič, Ron Donagi, Marielle Ong Improved statistics for F-theory standard models, July 2023. |

## Outreach

10 | Martin Bies, Andrew P. Turner F-Theory Applications, chapter in book The Computer Algebra System OSCAR: Algorithms and Examples, August 2024, ISSN 1431-1550. |

11 | Martin Bies, Lars Kastner Toric Geometry, chapter in book The Computer Algebra System OSCAR: Algorithms and Examples, August 2024, ISSN 1431-1550. |

12 | Martin Bies, Lars Kastner Toric Geometry in OSCAR, ComputerAlgebraRundbrief, March 2023. (See here for a preprint.) |

## Unpublished Works

13 | Martin Bies, Christoph Mayrhofer, Christian Pehle and Timo Weigand, Chow groups, Deligne cohomology and massless matter in F-theory, February 2014. |

## Theses

14 | Cohomologies of coherent sheaves and massless spectra in F-theory,doctoral thesis, Heidelberg university, February 2018. |

15 | Cohomologies of holomorphic line bundles in smooth and compact normal toric varieties, MSc. thesis, Heidelberg university, February 2014. (See here for a presentation of the results.) |

16 | Intersecting D6-brane models onT2×T2×T2/(σ×Ω)andT2×T2×T2/(Z2×Z2×σ×Ω)orientifolds, BSc. thesis, Heidelberg university, August 2012. (See here for a presentation of the results.) |