Epstein zeta method for many-body lattice sums
Buchheit, A. A., & Busse, J. K. (2025). "Epstein zeta method for many-body lattice sums." arXiv preprint arXiv:2504.11989.
CV
Education
- M.S. in Mathematics, Heinrich Heine University Düsseldorf, 10/2019–2023
- GPA: 1.4
- B.M. in Choral Conducting, Robert Schumann Hochschule Düsseldorf, 10/2019–09/2022
- Exchange year in Conducting, Glinka Conservatory Nizhny Novgorod (Russia), 10/2017–09/2018
- Conducting exam: 5.0 (best grade)
- B.A. in Mathematics and Music Education, Folkwang University of the Arts/University of Duisburg-Essen, 2015–2019
- Bachelor’s degree grade: 1.75
- High School Diploma, Free Waldorf School Heidelberg, 2002–2015
- Final grade: 1.5, Mathematics grade: 14 points
- DMV High School Award for outstanding performance in Mathematics
Work experience
- 12/2023–present: PhD Candidate
- German Aerospace Center (DLR), Institute of Software Technology, High-Performance Computing Department
- Specializing in numerical analysis in high-precision many-body physics
- 2021, 2022, 2023: Research Assistant
- Heinrich Heine University Düsseldorf
- Duties: Correcting Analysis and Linear Algebra exercise sheets, conducting holiday tutorials, creating learning materials for mathematics students
- 2018, 2019, 2020: Student Assistant
- University of Duisburg-Essen
- Duties: Correcting geometry exercise sheets, leading exercise groups for preparatory courses, creating learning materials for first-year students
- 2022–2023: Assistant to the Choral Director
- Wuppertal Opera
- Duties: Planning, organizing, and executing choir projects in opera productions, rehearsing with children’s, youth, and adult choirs
Publications
Exact lattice summations for Lennard-Jones potentials coupled to a three-body Axilrod-Teller-Muto term applied to cuboidal phase transitions
Robles-Navarro, A., Cooper, S., Buchheit, A. A., Busse, J. K., Burrows, A., Smits, O., & Schwerdtfeger, P. (2025). "Exact lattice summations for Lennard-Jones potentials coupled to a three-body Axilrod-Teller-Muto term applied to cuboidal phase transitions." arXiv preprint arXiv:2504.07338.
Computation and properties of the Epstein zeta function with high-performance implementation in EpsteinLib
Buchheit, A. A., Busse, J., & Gutendorf, R. (2024). "Computation and properties of the Epstein zeta function with high-performance implementation in EpsteinLib." arXiv preprint arXiv:2412.16317.
EpsteinLib: Fast and Efficient Computation of the Epstein Zeta Function
Buchheit, A. A., Busse, J., Gutendorf, R., & Schmitz, J. (2024). EpsteinLib: Fast and Efficient Computation of the Epstein Zeta Function. GitHub. https://github.com/epsteinlib/epsteinlib
Talks
Computation and properties of the Epstein zeta function: EpsteinLib for precision many-body Physics
Conference talk at Joint March Meeting and April Meeting: Global Physics Summit 2025, Anaheim Convention Center, Anaheim, CA, USA
Computation and properties of the Epstein zeta function: Application and numerical challenges
Conference talk at SiQuMa24 Conference on Simulation of Quantum Matter, Schloss Dagstuhl