Research

Here is an up to date list of my publications and preprints. They can also be found on Google Scholar.

Preprints

6. Generation of local unitary groups (with S. Brandhorst) (2021) [arXiv]
5. Normal CM-fields with class number one (with C. Sircana) (2020) [arXiv]
[Data]
4. Resultants over principal Artinian rings (with C. Fieker and C. Sircana) (2020) [arXiv]
3. Norm relations and computational problems in number fields (with J.-F. Biasse, C. Fieker and A. Page) (2020). [arXiv]
2. On Gröbner bases over Dedekind domains (2019). [arXiv]
1. On integral forms of Specht modules labelled by Hook partitions (with S. Danz) (2017). [arXiv]

Publications

17 On the computation of the endomorphism rings of abelian surfaces (with C. Fieker and S. P. Sanon), J. Number Theory (2021). [Link]
16. Computing isomorphisms between lattices (with H. Johnston), Math. Comp. 89 (2020), 2931–2963. [Link]
[arXiv]
[Code]
15. Appendix to On the p-adic Stark conjecture at s=1 and applications (with H. Johnston and A. Nickel), J. Lond. Math. Soc. (2) 101 (2020), no. 3, 1320–1354. [Link]
[arXiv]
[Code]
14. On the computation of overorders (with C. Sircana), Int. J. Number Theory 16 (2020), no. 4, 857–879. [Link]
[arXiv]
13. Cyclic extensions of prime degree and their p-adic regulators (with Y. Zhang). In: Proceedings of the Thirteenth Algorithmic Number Theory Symposium. Math. Sci. Publ., Berkeley, CA (2019), 311–323. [Link]
12. On the construction of class fields (with C. Fieker and C. Sircana) . In: Proceedings of the Thirteenth Algorithmic Number Theory Symposium. Math. Sci. Publ., Berkeley, CA (2019), 239–255. [Link]
11. On lattices of integral group algebras and Solomon zeta functions (with S. Danz), Int. Electron. J. Algebra 25 (2019), 129–170. [Link]
10. The conjugacy problem in GL(n, Z) (with B. Eick and E. A. O’Brien), J. Lond. Math. Soc. (2) 100 (2019), no. 3, 731–756. [Link]
[arXiv]
9. Efficient Gröbner bases computation over principal ideal rings (with C. Eder), J. Symbolic Comput. (2019). [Link]
[arXiv]
8. Computing tropical points and tropical links (with Y. Ren), Discrete Comput. Geom. 60 (2018), no. 3, 627–645. [Link]
[arXiv]
7. Nemo/Hecke: Computer algebra and number theory packages for the Julia programming language (with C. Fieker, W. Hart, F. Johansson). In: ISSAC’17—Proceedings of the 2017 ACM International Symposium on Symbolic and Algebraic Computation. ACM, New York (2017), 157–164. [Link]
[arXiv]
6. On the computation of the HNF of a module over the ring of integers of a number field (with J.-F. Biasse and C. Fieker) J. Symbolic Comput. 80 (2017), no. 3, 581–615. [Link]
5. Valuations of p-adic regulators of cyclic cubic fields (with Y. Zhang), J. Number Theory 169 (2016), 86–102. [Link]
[arXiv]
4. Zeta functions of lattices of the symmetric group, Comm. Algebra 44 (2016), no. 5, 2243–2255. [Link]
3. Computing in quotients of rings of integers (with C. Fieker), LMS J. Comput. Math. 17 (2014), suppl. A, 349–365. [Link]
2. Integrality of representations of finite groups, PhD thesis, Technische Universität Kaiserslautern, 2016.
Supervisor Prof. Dr. Fieker
1. Koinvariantenalgebren in positiver Charakteristik, Diplomarbeit, Technische Universtität Kaiserslautern, 2011.
Supervisor Prof. Dr. Malle

Tables & Data