Final Projects for Math 640: EXPERIMENTAL MATHEMATICS, Spring 2010

Last Update: Jan. 16, 2011.

Note: The projects below, in many cases, are on-going and dynamical, and will be updated and improved in the future.

Projects

• Investigate diagonal stability, inspired by work of Eduardo Sontag and M. Arack (suggested and claimed by Michael de Freitas)
  Here is the current version of Michael de Freitas' project.

• Investigate Gaussian primes (suggested and claimed by Brian Garnett)
  Here is the current version of Brian Garnett's project.

• Do some investigations in experimental number theory. (suggested and claimed by Edinah Gnang)
  Read Edinah's Gnang beautiful paper.
  Added Jan. 16, 2011: Read Edinah's Gnang completely new version of Part I.

• Develop a Maple package for handling posets (suggested and claimed by Emilie Hogan).
  Here is Emilie Hogan's current version of the project.

• Find extensions of Eric Rowland's prime generating recurrence. (Suggested and claimed by Dennis Hou).
  [Coming up]

• Study the Friedman-Landsberger "physical" approach to combinatorial games such as Chomp. (claimed by Joshua Loftus)
  Here is the current version of Josh Loftus' project.

• Ivestigated Eric Angelini's glass of worms problem that inspired Sloane's sequence A151986. (suggested and claimed by Kellen Myers)
  Here is Kellen Myers' current version of the final course project

• Investigating the Gijswijt sequence (related to Sloane's Curling Number Conjecture). Using, in part, van de Bult and Gijswijt's article A Slow-Growing Sequence Defined by an Unusual Recurrence (suggested and claimed by Brian Nakamura)
  Here is the current version of Brian Nakamura's course project .

• Count squares with Maple (suggested and claimed by Daniela Prelipceanu)
  Here is Daniela Prelipceanu's maple Worksheet for the course project

• Study epidemics by graph-theoretical means (suggested and claimed by Asya Pritsker)
  Here is Asya Pritsker's current version

• Write code which will perform calculations that are involved in the formal calculus in vertex operator algebra theory. Specifically, for now, write code that will carry out calculations and help verify identities in the vector space C[[x,x^(-1)]]. (suggested and claimed by Chris Sadowski)
  Here is Chris Sadowski's current version

• Study the sequence of the mobius function from a statistical point of view, applying to it as many tests of randomness as you can, and investigating how randon it is. (Claimed by Aron Samkoff).
  Here is Aron Samkoff's project as a Maple worksheet and it is a text-file.

• Study van-der-Waerden numbers (suggested and claimed by David John Wilson) .
  Here is David John Wilson's current version