St. Bonaventure University

School of Arts & Sciences Faculty


Uhl, Christine M.

Christine Uhl

ACADEMIC DEPARTMENT
Mathematics
ACADEMIC SCHOOL
School of Arts and Sciences

TITLES/RESPONSIBILITIES
Associate Professor, Mathematics
Faculty Co-adviser for the Math Club
CONTACT
Office phone: (716) 375-2474
Send an email
OFFICE
De La Roche 301 E
COURSES TAUGHT
  • MATH 107. Introduction to Statistics
  • MATH 108. Precalculus
  • MATH 122. Calculus for Management and Social Sciences
  • MATH 145. Introduction to Mathematical Concepts
  • MATH 151. Calculus I
  • MATH 152. Calculus II
  • MATH 207. Discrete Mathematics I
  • MATH 208. Discrete Mathematics II
  • MATH 241. Linear Algebra
  • MATH 252. Differential Equations
  • MATH 312. Geometry
  • MATH 341. Abstract Algebra
ACADEMIC DEGREES
  • Ph.D. in Mathematics, University of North Texas.
  • M.S. in Mathematics, University of North Texas.
  • B.A. in Mathematics, University of Dallas.
OTHER EDUCATION
PROFESSIONAL BACKGROUND
  • Associate Professor of Mathematics, St. Bonaventure University: August 2022 – present
  • Assistant Professor of Mathematics, St. Bonaventure University: August 2016 – August 2022
ACCOMPLISHMENTS

Awards

  • Junior Faculty Award for Professional Excellence, St. Bonaventure University, 2019.

Grants

  • Co-Principal Investigator on $70,675 NSF Noyce grant: “Creating Pathways in STEM Education.”

Publications

  • Chari, V., Grimley, L., Lin, Z., Mangum, C. R., Uhl, C., & Wilson, E. (2024). Schur-Weyl duality for toroidal algebras of type A. Communications in Algebra, 1–18. https://doi.org/10.1080/00927872.2024.2357732
  • Foster-Greenwood, B. & Uhl, C. (2024). Metric dimension of a direct product of three complete graphs. Electronic Journal of Combinatorics, 1-22. https://doi.org/10.37236/12399
  • Shepler, A. V.  & Uhl, C., Automorphisms of quantum polynomial rings and Drinfeld Hecke algebras. J. Noncommut. Geom. (2024), published online first. https://doi.org/10.4171/JNCG/568
  • Grimley, L. & Uhl, C.: Truncated Quantum Drinfeld Hecke Algebras and Hochschild Cohomology. Algebra Representation Theory (2019) 22: 569. https://doi.org/10.1007/s10468-018-9787-3.

Professional Activities

  • Leadership team for the Greater Upstate New York Inquiry-Based Learning (UNY-IBL) Consortium.
  • Public Information Officer: Mathematical Association of America Seaway Section.
TEACHING PHILOSOPHY
CURRENT RESEARCH INTERESTS/PROJECTS

My research interests lie in three areas.

  • Metric dimension of graphs: Joint work is a preprint on the metric dimension of a direct product of three complete graphs. The approach is constructive and first characterizes resolving sets in terms of forbidden subgraphs of an auxiliary edge-colored hypergraph. Current work involves expanding the results to a larger family of graphs.
  • Schur-Weyl duality: Joint work funded through an NSF AIM SQuaRE grant, produced a preprint on Schur-Weyl duality for classical toroidal algebras. Current work involves working on a Schur-Weyl duality for classical affine cyclotomic Lie algebras. Ultimate goal is a Schur-Weyl duality for quantum twisted toroidal Lie algebras.
  • Noncommutative algebras: Joint work produced a preprint on Automorphisms of Quantum Polynomial Rings and Drinfeld Hecke Algebras. Current work involves looking at Drinfeld Hecke algebras for symmetric groups on skew polynomial rings.
PERSONAL INTERESTS/COMMUNITY INVOLVEMENT
LINKS