Charles Buehrle

Associate Professor/Chair

Faculty School of Arts, Sciences & Business Math, Physics & Computer Studies Department
cbuehrle@ndm.edu 410-532-5710 Knott Science Center (KNO) 315B
Charles Buehrle
This profile is currently being updated. Some information may be incomplete.

Education

  • Ph.D. in Mathematics from Lehigh University 2010.
  • M.S. in Mathematics from Lehigh University 2007.
  • B.S. in Mathematics from La Salle University 2005.

Research

Interests

  • Algebraic Combinatorics
  • Graph Theory
  • Coxeter groups
  • Representations of finite non-abelian groups and algebras
  • The pancake problem
  • Prefix reversal graphs

Publications

  1. Buehrle C., Skandera M. "Relations between the Clausen and Kazhdan-Lusztig representations of the symmetric group."Journal of Pure and Applied Algebra214 (2010), no. 5, 689-700https://doi.org/10.1016/j.jpaa.2009.07.014.
  2. Buehrle C., Skandera M. "A preorder-free construction of the Kazhdan-Lusztig representations of Hecke algebras Hn(q) of symmetric groups."Proceedings of the 22ndannual Conference on Formal Power Series and Algebraic Combinatorics2010, San Franciscohttp://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/article/view/dmAN0139/3154.html.
  3. Blanco S., Buehrle C., Patidar A. "Cycles in the burnt pancake graph."Discrete Applied Mathematics(2019)https://doi.org/10.1016/j.dam.2019.08.008.
  4. Blanco S., Buehrle C., Patidar A. "On the number of pancake stacks requiring four flips to be sorted." Discrete Mathematics & Theoretical Computer Science(2019) , vol. 21 no.2,Permutation Patterns 2018https://dmtcs.episciences.org/5879.
  5. Blanco S., Buehrle C. "Some relations on prefix reversal generators of the symmetric and hyperoctahedral group." Australasian Journal of Combinatorics(2020), vol. 76 no. 3, 404-427.
  6. Blanco S., Buehrle C. "Presentations of Coxeter groups of type A, B, and D using prefix reversal generators." Applicable Algebra in Engineering, Communication and Computing(2022)https://doi.org/10.1007/s00200-022-00560-9.
  7. Blanco S., Buehrle C. "Lengths of cycles in generalized pancake graphs." Discrete Mathematics(2023), vol. 346 no. 12,https://https://linkinghub.elsevier.com/retrieve/pii/S0012365X23003102.
  8. Blanco S., Buehrle C. “Some integer values in the spectra of burnt pancake graphs.” Linear Algebra and its Applications, 703(2), (2024). http://dx.doi.org/10.1016/j.laa.2024.09.003.
  9. Blanco S., Buehrle C. “On the spectra of prefix-reversal graphs.” Linear Algebra and its Applications, 726, (2025). https://doi.org/10.1016/j.laa.2025.07.015.
  10. Blanco S., Buehrle C. “Bounds on the genus for 2-cell embeddings of prefix-reversal graphs.” Discrete Applied Mathematics, 381 (2026). https://doi.org/10.1016/j.dam.2025.11.003.

Professional Affiliations & Memberships

  • American Mathematical Society
  • Mathematical Association of America
  • Association for Women in Mathematics
  • Kappa Mu Epsilon, Mathematics Honor Society