199 - Undergraduate Research Projects - W09

Burnside's Formula

Participants: Andy Huang <axhu@ucdavis.edu>
Schedule:   12:10 - 1:00 Number Theory     1:10 - 2:00 Complex Variables     4:10 - 5:00 Your class
So, let's try to meet 3:10- 4pm Wednesdays (at least on trial basis).

Project: Understand various applications of Burnside's Formula, like on this worksheet, and teX up handwritten worksheets from a summer COSMOS course.

Braids on a cylinder

Participants:  Ashley Huisman <aahuisman@ucdavis.edu>,    Dido Salazar-Torres <dsalazartorres@ucdavis.edu>    
(occassionally Jeff Ferreira < jferreira@math.ucdavis.edu >,  )

Schedule:   Ashley Huisman     I've changed my schedule around a little. Now I'm in class MWF 1:00-2:00, 3:00-5:00 but all other hours are ok.
Dido Salazar-Torres     My schedule on Wednesdays is as follows: I'm free in the morning I have classes from 12-2 and I am free from 2-4, and then I am also free after class.
Jeff Ferreira     the following available:     Mondays 12-1 and after 3     Tuesdays any time except 6-7PM     Wednesdays before 11     Thursdays before 12 or 2-4     Fridays before 11 or after 3

So, let's try to meet 2:10- 3pm Wednesdays (at least on trial basis).

Project: Create graphics of certain braids, and understand the algebraic relations between them.  Check commutation, check conjugation. Possibly animate.
Resources: You might want to look at and/or read around pages 29-36 of this paper on vanishing integrals (by Rains and Vazirani).