Jack Schmidt <jack.schmidt@uky.edu> Department of Mathematics 715 Patterson Office Tower Lexington, KY 40506-0027 (512) 522-5137 (text) (859) 257-1429 (859) 257-4078 FAX

MA322 Spring 2015, Matrix Algebra

MA123 Spring 2015, Elementary calculus

Old courses:- MA109 College Algebra: Fall 2010, Fall 2013
- MA111 Contemporary Math: Spring 2011, Fall 2011, Spring 2012, Fall 2012, Fall 2014
- MA123 Elementary Calculus: Fall 2010, Fall 2013
- MA162 Finite Mathematics: Spring 2010, Summer 2010, Spring 2011, Fall 2011, Spring 2012, Fall 2012, Spring 2013, other semesters
- MA322 Linear Algebra: Spring 2014, Spring 2015

My research work is focused in noncommutative algebra and relative homological algebra, usually with a computational aspect. More specifically I have studied certain extremal examples of a special class of p-groups that arise as a co-Galois groups of flat covers over number rings. Additionally I have developed algorithms for the computation of some Gorenstein homological invariants of algebro-integral group rings.

Most of my computational work is done with the invaluable assistance of the GAP computer algebra system and the work of its authors and contributors. Recently I have become the maintainer of the perfect groups library and am working on completing the classification it represents and providing useful and efficient finding aids for the information it provides.

You may be interested in slides for past and upcoming presentations.

- Graduate student colloquium talk about the inexorable control the Sylow subgroups exert on the structure of a finite group
- Silly classification that I might use to lure unsuspecting grad students into group theory next fall
- PST, just-non-PT slides
- Defense slides (with Handout)
- Kalamazoo's short rewriting systems slides
- 2008 Math Grad Computing Orientation slides
- GT class presentation on CGT (day 2) with associated list of useful commands and instructions on starting it up
- GT class presentation on CGT with associated list of useful commands and instructions on starting it up
- Auburn presentation on PT groups
- GT seminar presentation on chief factors
- Braunschweig presentation on PC by RWS groups
- 2007 Math Grad Computing Orientation slides
- Week 3A: Representations the fifth day of Sym(6), Six weeks of fun
- Week 2A: Characters the third day of Sym(6), Six weeks of fun
- Week 1A: Permutations the first day of Sym(6), Six weeks of fun
- Generalized coclass trees at the 2007 Zassenhaus conference at Saint Louis University
- Rewriting systems for cohomology at the AMS sectional at Davidson, special session on computational group theory