Adam Glesser's Academic Page
 
Search this site

Navigation

30days until
Finals Week


Home‎ > ‎

Research

Research Interests
Generally, I am interested in finite groups and their representations (specifically, modular representations). Most of my work, in one way or the other, is geared towards trying to understand (and prove) Alperin's Weight Conjecture and its several refinements (most notably, those of Dade, Uno, Isaacs, Navarro and Boltje). Recently, I started learning about fusion systems, which are an excellent way of connecting finite groups, blocks of finite groups and algebraic topology. Pedagogically, I am studying the effects of teaching classes with alternative lectures formats (e.g., the so-called Moore method, multimedia presentations and Activity Based Learning Environments).

Feel free to examine my CV as well as most recent research and teaching statements.

Work In Progress

  1. Yoshida's Theorem and Tate's Theorem on Control of Transfer for Fusion Systems (with Antonio Díaz, Sejong Park, Radu Stancu)
  2. Fusion Systems on Small p-Groups (with David Craven)

Submitted Journal Articles

  1. Sparse Fusion Systems, submitted to Proceedings of the Edinburgh Mathematical Society

Peer-Reviewed Journal Articles

  1. Control of Transfer in Fusion Systems (with Antonio Díaz, Nadia Mazza, Sejong Park), to appear in Journal of Algebra
  2. Glauberman's and Thompson's Theorems for Fusion Systems (with Antonio Díaz, Nadia Mazza, Sejong Park), Proceedings of the American Mathematical                    Society, 137 (2009), 495-503.
  3. Some Refinements of Dade's Projective Conjecture, Journal of Algebra, 318 (2007), 692-709
  4. On p-Monomial Modules Over Local Domains (with Robert Boltje), Journal of Group Theory, 10 (2007), no. 2, 173-183

Selected Talks

  1. Fusion and a Result of Navarro (Issacs Conference, June 2009)
  2. Some Fuss About Fusion (MSRI, April 2008)


Subpages (1): Reseach Filing Cabinet