Annette Pilkington

Annette Pilkington is a Professor of the Practice in the Department of Mathematics at the University of Notre Dame, affiliated with the College of Science. She holds a B.A. (Hons) in Mathematics and Economics from 1984, an M.A. from University College Dublin (1985), and a Ph.D. from the University of Notre Dame (1991). Her research focuses on algebraic structures including classical groups, K-theory, number theory, quadratic forms, Coxeter groups, and representation theory. She also investigates convex geometries on root systems related to Coxeter groups.

Her notable publications include studies on E_2®-Normalized Subgroups of GL_2® (Journal of Algebra, 1995) and work on convex closures on root systems (submitted). Current research explores representation theory connections with number rings using Dyer's Category C framework.

No scientific awards are listed in her profile. She advises no named students in the provided text. She is part of the Algebra and Algebraic Geometry research group and maintains an office at 232 Hayes-Healy Bldg.