Epstein zeta method for many-body lattice sums
Buchheit, A. A., & Busse, J. K. (2026). "Epstein zeta method for many-body lattice sums." Numerische Mathematik. DOI: 10.1007/s00211-026-01558-y
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
Computation and properties of the Epstein zeta function with applications to quantum systems
Buchheit, A. A., Busse, J. K., & Gutendorf, R. (2026). "Computation and properties of the Epstein zeta function with applications to quantum systems." IMA Journal of Numerical Analysis, drag057. DOI: 10.1093/imanum/drag057
Zeta Expansion for Long-Range Interactions under Periodic Boundary Conditions with Applications to Micromagnetics
Buchheit, A. A., Busse, J. K., Keßler, T., & Rybakov, F. N. (2026). "Zeta Expansion for Long-Range Interactions under Periodic Boundary Conditions with Applications to Micromagnetics." Journal of Computational Physics, 114885. DOI: 10.1016/j.jcp.2026.114885
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." J. Chem. Phys. 163, 094104. DOI: 10.1063/5.0276677
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. github.com/epsteinlib
Talks
Zeta Expansion for Long-Range Interacting Classical and Quantum Lattices
Seminar presentation at Oberseminar Mathematik, Universität des Saarlandes, Saarbrücken, Germany
Zeta Expansion for Long-Range Interactions under Periodic Boundary Conditions with Applications to Micromagnetics
Seminar presentation at Seminar für Angewandte Mathematik, ETH Zürich, Zürich, Switzerland
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