Profile: William Keigher

Associate Professor

Department of Mathematics and Computer Science

Field of Specialization:  Differential Algebra

  • Courses Taught

    Intermediate Algebra, College Algebra, Math for Liberal Arts, Precalculus, Basic Calculus, Calculus I, II, III, Probability & Statistics, Statistics, Honors Calculus I, II, Foundations of Modern Math, Linear Algebra, Abstract Algebra, Theory of Equations, Differential Equations, Vector Analysis, Advanced Calculus,  Discrete Stuductres, Topology, Number Theory, Abstract Algebra, Category Theory, Differential Algbra, Introduction to Computers, Computers & Programming I, II, Data Structures


  • Education

    Ph.D., University of Illinois at Urbana Champaign:  Differential Algebra


  • Publications

    “On the ring of Hurwitz series,” Comm. Algebra 25 (1997), 1845-1859.

    “Hurwitz series as formal functions,” with F. Leon Pritchard, J. Pure Appl. Algebra 146 (2000), 291-304.

    “Baxter algebras and shuffle products,” with Li Guo, Advances in Math. 150 (2000), 117-149.

    “On free Baxter algebras: Completions and the internal construction,” with Li Guo, Advances in Math. 151 (2000), 101-127.

    “Baxter algebras and Hopf algebras,” with George Andrews, Li Guo and Ken Ono, Transactions Amer. Math. Soc. 355 (2003), 4639-4656.

    “On differential Rota-Baxter algebras,” with Li Guo, J. Pure Appl. Algebra 212 (2008), 522-540.

    “On partitioned differential quasifields,” with Leon Pritchard, J. Algebra Appl. 7 (2008), 425-441.