Annette Pilkington

Professor of The Practice in Mathematics

Office: Hayes-Healy 242

e-mail: Pilkington.4@nd.edu

Postal Address: Department of Mathematics,
255 Hurley Hall,
University of Notre Dame, 46556-4618

Phone: 574-631-3369

 

Classes

Current Class Websites

MATH 10120 Fall 2021

MATH10550, Calculus I, Fall 2021

Former Class Websites

MATH10560, Calculus II, Spring 2021

Review Precalculus

 

 

Publications

  1. [1] A. Pilkington, The E2(R) Normalized Subgroups of GL2(R), Journal of Algebra 172 (1995), 584-611. MR1322418

  2. [2] A.Pilkington, TheE2(R) Normalized Subgroups of GL2(R) II, JournalofAlgebra 177 (1995), 619-626. MR1358476

  3. [3]  A. Pilkington, Convex Closures on Root Systems, Communications in Algebra 34 (2006), no. 9, 3183- 3202. MR2252665

  4. [4]  Annette Pilkington, On The Weak Order of Orthogonal Groups, Communications in Algebra42 (2014), no. 5, 1965-1993.

  5. [5]  A. Pilkington, Highest weight categories for Dedekind domains, Journal of Algebra 387 (2013), 29-67.

  6. [6]  T. Ferdinands and A. Pilkington, A Note on Sums of Roots, Rocky Mountain Journal of Mathematics Vol. 48 (2018), no. 3.

  7. [7] A. Pilkington, On Reflection Representations of Coxeter Groups over Non-Commutative Rings arXiv:2107.01530

  8. [8] A. Pilkington, On Reflection Representations of Coxeter Groups over Non-Commutative Rings II arXiv:2107.11425

Undergraduate Research With My Students

  1. [1] Annette Pilkington and Paul Coletti, A comparison of the Performance of Google PageRank to other Ranking Systems on the NCAA Basketball Tournament, Proceedings of Mathsport International 2017 Conference (Padova), Padova University Press (2017).

  2. [2] B Curley, G Hopkirk, R Lokhorst and A Pilkington, Randomness of Play Calling in College Football, Proceedings of Mathsport International 2019 Conference (Athens), Propobos Publications, Athens (2019).

  3. [3] G. Twersky, G. Lyman and A. Pilkington, Combining the Four Factors with the Generalized PageRank (GeM) model for NBA Basketball, Proceedings of Mathsport International 2019 Conference (Athens), Propobos Publications, Athens (2019).