Here is an up to date list of my publications and preprints. They can also be found on Google Scholar.
| 5. | Determination of the stably free cancellation property for orders (with W. Bley and H. Johnston) (2024). | [arXiv] |
| 4. | Normal CM-fields with class number one (with C. Sircana) (2020). | [arXiv] [Data] |
| 3. | Resultants over principal Artinian rings (with C. Fieker and C. Sircana) (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] |
| 24. | An algorithm for solving the principal ideal problem with subfields (with J.-F. Biasse, C. Fieker and W. Youmans), Adv. Math. Commun. 18 (2024), no. 6, 1785-1809. | [Link] |
| 23. | Finite subgroups of automorphisms of K3 surfaces (with S. Brandhorst) Forum Math. Sigma 11 (2023), Paper No. e54, 57 pp. | [Link] [arXiv] [Data] |
| 22. | Mildly Short Vectors in Ideals of Cyclotomic Fields Without Quantum Computers (with J.-F. Biasse, M. R. Erukulangara, C. Fieker and W. Youmans) Math. Cryptol. 2 (2022), no. 1, 84-107. | [Link] |
| 21. | Computation of lattice isomorphisms and the integral matrix similarity problem (with W. Bley and H. Johnston) Forum Math. Sigma 10 (2022), Paper No. e87, 36 pp. | [Link] [arXiv] |
| 20. | Computing Galois groups of Ehrhart polynomials in OSCAR (with C. Fieker and M. Joswig), Sém. Lothar. Combin. 86B (2022), Art. 87, 9 pp. | [Link] [arXiv] |
| 19. | Generation of local unitary groups (with S. Brandhorst), J. Algebra 609 (2022), 484-513. | [Link] [arXiv] |
| 18. | Norm relations and computational problems in number fields (with J.-F. Biasse, C. Fieker and A. Page), J. Lond. Math. Soc. (2), 105 (2022), no. 4, 1-42. | [Link] [arXiv] |
| 17 | On the computation of the endomorphism rings of abelian surfaces (with C. Fieker and S. P. Sanon), J. Number Theory 229 (2021), 39-52 | [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. 103 (2021), 1–13 (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 |
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| 1. | Koinvariantenalgebren in positiver Charakteristik, Diplomarbeit, Technische Universtität Kaiserslautern, 2011.
Supervisor Prof. Dr. Malle |