Charles

Buehrle

Math, Physics & Computer Studies Department

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

Professional Memberships & Affiliations

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

Publications

• Buehrle C., Skandera M. "Relations between the Clausen and Kazhdan-Lusztig representations of the symmetric group." Journal of Pure and Applied Algebra 214 (2010), no. 5, 689-700 https://doi.org/10.1016/j.jpaa.2009.07.014.
• Buehrle C., Skandera M. "A preorder-free construction of the Kazhdan-Lusztig representations of Hecke algebras H_n(q) of symmetric groups." Proceedings of the 22^nd annual Conference on Formal Power Series and Algebraic Combinatorics 2010, San Francisco http://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/article/view/dmAN0139/3154.html.
• 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.
• 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 2018 https://dmtcs.episciences.org/5879.
• 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.
• 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.
• 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.