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

Peer Reviewed Publications

1	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.)

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

3	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.

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

5	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.

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

7	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.

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

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

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.)

Preprints

13	Martin Bies, Miķelis E. Miķelsons, Andrew P. Turner - FTheoryTools: Advancing Computational Capabilities for F-Theory Research, 2025.

Unpublished Works

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

Theses

15	Cohomologies of coherent sheaves and massless spectra in F-theory,doctoral thesis, Heidelberg university, February 2018.
16	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.)
17	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.)