Knots and Graphs

https://people.math.osu.edu/chmutov.1/wor-gr-su20/wor-gr.htm

Working Group [Summer 2020]
MATH 4193, class number 16355
June 9 --- July 31, 2020

Instructor: Sergei Chmutov

Online classes on ZOOM: Monday, Friday 3:00-4:00pm
+ one more one hour zoom meeting with smaller groups.             

Past year programs

       2019   2018   2017   2016
       2015   2014   2013   2012   2011
       2010   2009   2007   2006   2005

  • Announcement
  • List of participants
  • Research projects
  • Table of Virtual Knots by Jeremy Green
  • Our results
  • Online knot theory course by Roger Fenn (Sussex) and Lou Kauffman (Chicago) 2020.


    Schedule

    Week 1

     
    Fr. June 12S.Chmutov,  Introduction. Graphs and their polynomials.    Handout.    Video.

    Week 2

     
    Mo. June 15S.Chmutov,  Graph polynomials (continuation).    Video.
    Fr. June 19S.Chmutov,  Knots and the Jones polynomial.    Handout.    Video.

    Week 3

     
    Mo. June 22 S.Chmutov,  Braids.    Handout.    Video.
    Fr. June 26 J.Huryn, R.Raghavan, D.Sweeney,  Thompson's groups.     Rushil's slides.    Dennis' slides.

    Week 4

     
    Mo. June 29V.Akavets, J.Patel, C.Patterson, J.White,   Braid groups.     John's slides.    Vlad's's slides.    Jay and Caitlin's slides.
    Fr. July 3 H.Johnson, K.Husar, M.Reilly,  Acyclicity theorem for signed graphs.     Hannah's slides.    Kat's slides.    Mikey's slides.

    Week 5

     
    Mo. July 6O.Coppola, A.Jambhale,  Stanley's chromatic symmetric function.     Oscar's slides.    Aditya's slides.
    Fr. July 10 J.Huryn, R.Raghavan, D.Sweeney,  Alexander theorem for the Thompson group.     Dennis's slides.

    Week 6

     
    Mo. July 13J.Patel, C.Patterson,  Virtual Knots via the description of Gauss Codes.    Slides.
    Fr. July 17 K.Husar, E.Fawcett,  B-symmetric chromatic function.    Kat's slides.    Eric's slides.

    Week 7

     
    Mo. July 20A.Patterson, T.Hilbert,  Towards a symmetric Tutte Polynomial.    Alexander's slides.    Torey's slides.
    Fr. July 24J.Huryn, R.Raghavan, D.Sweeney,  A Regular Isotopy Alexander Theorem for Thompson's Group F.     Dennis's slides.     Rushil's slides.

    Week 8

     
    Mo. July 27J.White,  Markov's Theorem.     John's slides.
    V.Akavets,  Wirtinger presentations and virtual knots.     Vlad's's slides.
    Fr. July 31H.Johnson, M.Reilly,   Qusi-symmetric functions and linear extensions.     Hannah's slides.

    Week 9

     
    Mo. August 3T.Hilbert,  Sage.     Sage Presentation Files.