Charles Buehrle

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.

Professional Affiliations & Memberships

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