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 of anisotropic singular sums from high-order derivatives of Epstein zeta functions Permalink

Buchheit, A. A., & Busse, J. K. (2026). "Computation of anisotropic singular sums from high-order derivatives of Epstein zeta functions." arXiv preprint arXiv:2609.28282. DOI: 10.48550/arXiv.2609.28282

Zeta Expansion for Long-Range Interactions under Periodic Boundary Conditions with Applications to Micromagnetics Permalink

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

Epstein zeta method for many-body lattice sums Permalink

Buchheit, A. A., & Busse, J. K. (2026). "Epstein zeta method for many-body lattice sums." Numerische Mathematik. DOI: 10.1007/s00211-026-01558-y

Computation and properties of the Epstein zeta function with applications to quantum systems Permalink

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

Exact lattice summations for Lennard-Jones potentials coupled to a three-body Axilrod-Teller-Muto term applied to cuboidal phase transitions Permalink

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 Permalink

Buchheit, A. A., Busse, J. K., 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

November 27, 2025

Seminar presentation at Oberseminar Mathematik, Universität des Saarlandes, Saarbrücken, Germany

Zeta Expansion for Long-Range Interactions under Periodic Boundary Conditions with Applications to Micromagnetics

October 02, 2025

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

March 20, 2025

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

August 23, 2024

Conference talk at SiQuMa24 Conference on Simulation of Quantum Matter, Schloss Dagstuhl

Teaching

SS 2022: Analysis II Intensive Course

WS 2021/2022: Analysis II Intensive Course

WS 2020/2021: Introductory Course to University Mathematics

WS 2019/2020: Introductory Course to University Mathematics