Contact Information
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
Teaching information
Students of UK's MA111 "Contemporary Mathematics" Spring 2012 may find a short list of helpful links, and a short list of handouts here.
Students of UK's MA162 "Finite Mathematics" Spring 2012 may find a short list of helpful links, and a short list of handouts here.
Research Interests
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.
Presentations
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
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