Publications

Research articles, outreach work, and theses. Complete records are also available through INSPIRE, arXiv, ORCID, and Scopus.

Peer-reviewed publications

  1. Martin Bies, Miķelis E. Miķelsons, Andrew P. Turner - FTheoryTools: Advancing Computational Capabilities for F-Theory Research, Fortschritte der Physik, 2026.

  2. Martin Bies, Mirjam Cvetič, Ron Donagi, Marielle Ong Improved statistics for F-theory standard models, Communication in Mathematical Physics, 2024. (See here for a preprint.)

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

  4. 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, Nov 2022.

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

  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, Sep 2021.

  7. Martin Bies, Sebastian Posur Tensor products of finitely presented functors, Journal of Algebra and Its Applications, Jul 2021.

  8. 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, Jan 2021.

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

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

Outreach

  1. Martin Bies, Andrew P. Turner F-Theory Applications, chapter in book The Computer Algebra System OSCAR: Algorithms and Examples, Aug 2024, ISSN 1431-1550.
  2. Martin Bies, Lars Kastner Toric Geometry, chapter in book The Computer Algebra System OSCAR: Algorithms and Examples, Aug 2024, ISSN 1431-1550.
  3. Martin Bies, Lars Kastner Toric Geometry in OSCAR, ComputerAlgebraRundbrief, Mar 2023. (See here for a preprint.)

Preprints and unpublished work

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

Theses

  1. Cohomologies of coherent sheaves and massless spectra in F-theory, doctoral thesis, Heidelberg University, Feb 2018.
  2. Cohomologies of holomorphic line bundles in smooth and compact normal toric varieties, MSc. thesis, Heidelberg University, Feb 2014. (See here for a presentation of the results.)
  3. Intersecting D6-brane models on T² × T² × T²/(σ × Ω) and T² × T² × T²/(Z₂ × Z₂ × σ × Ω) orientifolds, BSc. thesis, Heidelberg University, Aug 2012. (See here for a presentation of the results.)