Associate advisor:
Jillian Cairns, jillianc@mit.edu
The regular class meetings will occur on Wednesdays from 3:00 to 5:00 in 2-142. Students will lead discussions of relevant mathematical topics. The textbook for this course, Colin Adams's The Knot Book, will be available for free at the pre-registration meeting, so don't buy it!
Participants:
Sameer Deshpande sameerd@mit.edu
Vincent Lee vinitlee@mit.edu
Jelena Markovic markovic@mit.edu
Akin Morrison armorris@mit.edu
Daniel Ron dron@mit.edu
Liz Simon lizsimon@mit.edu
Justin Venezuela jven@mit.edu
Dan Ron found this
Curves space flight simulator.
Schedule:
September 9: Haynes Miller: Reidemeister moves and 3-colorability.
September 16: Sameer Deshpande and Vincent Lee: Orientation and addition of
knots; Linking number.
September 23: Daniel Ron and Liz Simon: Rational tangles.
September 30: Jelena Markovic and Akin Morrison: Crossing number, bridge
number.
October 7: Jillian Cairns and Justin Venezuela: Genus.
October 14: Sameer Deshpande and Vincent Lee: Braids
October 21: Daniel Ron and Liz Simon: The bracket and Jones polynomials
October 28: Jelena Markovic and Akin Morrison: States and the Tait conjectures
November 5: Jillian Cairns and Justin Venezuela: Skein relations and the
HOMFLYPT polynomial
November 12: Veterans Day, no meeting.
November 19: Sameer Deshpande and Vincent Lee: Curvature (See
Precis of Milnor's work on this) and real knots.
November 26: Haynes Miller: Hyperbolic knots: the movie.
Professor Haynes Miller