Chi-Kwong Li
Reading courses and class projects
I am happy to conduct reading courses with students.
Here are a list of possible topics.
- Matrix Theory,
- Operator Theory,
- Combinatorial Theory,
- Coding Theory,
- Cryptology,
- Lie Theory,
- Perturbation Theory,
- Algebraic Graph Theory,
- Game Theory,
- Convex Analysis,
- Matrix Groups.
A list of class projects of my students
Math 432 Combinatorics, Spring 2004
- Kevin Armstrong, A general introduction to chemical graph theory.
- Liam Heincer, Odds in blackjack.
- Amanda Nicholson, Texas hold what?
- Paul Smith, Combinatorics of finite projective planes.
- Emily Vancho, Arranging n vertices into m-partite graphs.
- Audrey Crittenden, The four color problem.
- Kristina Little, 3-D rectangular blocks and tetrahedrons in the
m-by-n-by-r lattice.
- Beth Day, Pinochle bidding, melding, and scoring.
- Emily Altadonna and Earin Renfro, The theory behind peg solitaire.
- Mike Zuk and Andrew Gordon, Combinatorial Theory and Music.
- Daniel Grady, Tic-Tac-Toe.
- Chris Healey and Ryan Stevens, Poker hand rankings with
changing suits and ranks.
Math 432 Combinatorics, Spring 2002
- Hanley Chiang, Partial characterization of 9-vertex Central
digraphs.
- Frank Curtis and Sam Small, "Math 24": Extensions and analysis.
- Matt Duggan, A guide to basic sorting algorithms.
- Tim Frederick, Dani Machado, and Jessica Otis, Divisor tournament
matrices.
- M. Keeling, Algorithms on two dimensional orthogonal bin packing
without rotations.
- Matthew Klinger, Non-taking chess arrangements.
- Jordan Kriger, Maple: an aid in teaching and developing mathematics.
- Keith Nunemaker, The jealous wives problems.
- Dan Sweeney, A simplified prototype of a computer game to play
"Risk".
Math 412 Number Theory, Fall 1997.
- Bill Blaine, Generating 100-digit primes quickly and accurately.
- Judy Cho, Fibonacci numbers.
- Julie Cleveland, The Fibonacci sequence and its applications.
- Chris Dudley, Palindromes: Beyond base 10.
- Chris Dudley, Palindromes: Beyond base 10.
- Jackie Hayes, Baseball and number theory: A perfect match!
- Justin Gohde, Modulo arithmetic and music.
- Jessica Meade, Palindromes.
- Fang-Chi Wang, Continuous fraction.
- Michael Weber, Pseudo random number generation through
linear congruential generators.
Math 416 Geometry, Fall 1996.
- Amy Bates, Why learn geometry?
- Daryl Cox, Review of teaching geometry topics: reflections and
rotations.
- Matt Dean, Graph It. (Matlab Program for performing affine
transforms on R^2).
- Terry Gruchow, The quadrature of the lune.
- Jacqueline Hayes, Curriculum of High School Geometry: 1996.
- Hilary Park, Women in the History of Geometry.
- Patty Ridley, Pythagorean approach to mathematics.
- Megan Stewart, Geometry in nature: Are there patterns to bubbles,
honeycombs, and shells.
Math 432/510 Combinatorial Theory, Spring 1996.
- John Critzer, Non-taking queens problem.
- Lynne Hozik, Implementation of Kruskal's algorithm for finding
minimum weight tree.
- Aki Matsuda, Non-taking rooks on an n x n chessboard.
- Kia Rippel, A survey on the graph isomorphism problem.
- Pablo Sanfrancisco,
Non-taking chess program.
- Jennifer Vezza, Trees: Depth first vs. breadth first search.