Research

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

Preprints

7.	Swan modules and homotopy types after a single stabilisation (with J. Nicholson) (2025).	[arXiv]
6.	Exotic presentations of quaternion groups and Wall's D2 problem (with J. Nicholson) (2025).	[arXiv]
5.	Determining unit groups and K₁ of finite rings (2025).	[arXiv] [Data]
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]

Publications

25.	Number Theory (with C. Fieker) In: The Computer Algebra System OSCAR. Springer Cham, 2025, 81-105.	[Link] [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.	Efficient Gröbner bases computation over principal ideal rings (with C. Eder), J. Symbolic Comput. 103 (2021), 1–13 (2019).	[Link] [arXiv]
15.	Computing isomorphisms between lattices (with H. Johnston), Math. Comp. 89 (2020), 2931–2963.	[Link] [arXiv] [Code]
14.	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]
13.	On the computation of overorders (with C. Sircana), Int. J. Number Theory 16 (2020), no. 4, 857–879.	[Link] [arXiv]
12.	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]
11.	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]
10.	On lattices of integral group algebras and Solomon zeta functions (with S. Danz), Int. Electron. J. Algebra 25 (2019), 129–170.	[Link]
9.	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]
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