Research
Publications
-
Applications of Chromatic Polynomials Involving Stirling Numbers (with T. D. Porter)
Journal of Combinatorial Mathematics and Combinatorial Computing 70 (2009), 57 - 64. -
Some Applications of Spanning Trees in K(s,t) (with L. H. Clark and T. D. Porter)
Journal of Combinatorial Mathematics and Combinatorial Computing 62 (2007), 139 - 146.
Miscellaneous
- Master's Thesis
- Partitioning Labeled Spanning Trees into Isomorphism Classes
- Images of Nonisomorphic Spanning Trees of Bipartite Graphs
- Companion Program (Java source)
- Stirling Number Calculator
- A Survey of Zero-Knowledge Proofs with Applications to Cryptography
- Brief Intro to Quantum Complexity Theory
- Abstraction Techniques for Markov Decision Processes
Coursework
Disclaimer: The following is the work of a student, and so some solutions contain flaws. If you find any mistakes, please bring them to my attention.
Abstract Algebra
- Instructor Homepage (huge bank of problems)
- Homework 0
- Homework 1
- Homework 2
- Homework 3
- Homework 4
- Homework 5
- Homework 6
- Homework 7
- Homework 8
Complexity Theory
- Instructor Homepage
- Course Homepage
- Homework 1 (instructor solutions)
- Homework 2 (instructor solutions)
- Homework 3 (instructor solutions)
- Homework 4 (instructor solutions)
Galois Theory
Graph Theory I
- Instructor Homepage
- Course Homepage
- Homework 1 (instructor solutions)
- Homework 2 (instructor solutions)
- Homework 3 (instructor solutions)
- Homework 4 (instructor solutions)
Graph Theory II
- Instructor Homepage
- Course Homepage
- Homework 1 (instructor solutions)
- Homework 2
- Homework 3
- Homework 4
Lattice Theory
- Instructor Homepage (huge bank of problems)
- Course Homepage
- Notes on Modularity and Distributivity
- Priestley's Representation Theorem
Measure Theory
- Instructor Homepage
- Course Homepage
- Homework 1 (instructor solutions)
- Homework 2 (instructor solutions)
- Homework 3 (instructor solutions)
- Homework 4 (instructor solutions)
- Homework 5 (instructor solutions)
- Homework 6 (instructor solutions)
- Homework 7 (instructor solutions)
- Homework 8 (instructor solutions)
- Homework 9 (instructor solutions)
- Homework 10 (instructor solutions)
- Homework 11 (instructor solutions)
General Topology I
- Instructor Homepage
- Homework 1
- Homework 2
- Homework 3
- Homework 4
- Homework 5
- Homework 6
- Homework 7
- Homework 8
- Homework 9
- Homework 10
- Homework 11
- Homework 12
- Homework 13
- Homework 14
- Homework 15