# Publications

## Paper

You can find all my physics publications on inspire. A complete list of publications is available on the arXiv. Publications include:

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 |

5 | Martin Bies, Sebastian Posur Tensor products of finitely presented functors |

4 | Martin Bies, Cohomologies of coherent sheaves and massless spectra in F-theory |

3 | Martin Bies, Christoph Mayrhofer and Timo Weigand, Algebraic Cycles and Local Anomalies in F-theory |

2 | Martin Bies, Christoph Mayrhofer and Timo Weigand, Gauge Backgrounds and Zero-Mode Counting in F-theory |

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

## Software

You can find the latest updates on my software at my github-page. Among others, I am author and maintainer of the following *CAP*- and *gap*-packages:

*ToricVarieties**TopcomInterface**CAPCategoryOfProjectiveGradedModules**CAPPresentationCategory**PresentationsByProjectiveGradedModules**TruncationsOfPresentationsByProjectiveGradedModules**FreydCategoriesForCAP**ToolsForFPGradedModules**TruncationsOfFPGradedModules**cohomCalgInterface**SpasmInterface**AdditionsForToricVarieties**SheafCohomologyOnToricVarieties**H0Approximator*

## 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