- Email Me: firstname (dot) lastname (at) colorado (dot) edu
- Pronouns: He/Him/His
- Algebraic Combinatorics, Algorithms in Finite Groups, Computational Complexity, Descriptive Complexity, Isomorphism Testing, Relation Algebras
- On the Combinatorial and Logical Complexities of Algebraic Structures (PhD Dissertation)
- Logarithmic Weisfeiler--Leman and Treewidth (Michael Levet, Puck Rombach, Nicholas Sieger), Preprint.
- Permutation Statistics in Conjugacy Classes of the Symmetric Group (Michael Levet, Kevin Liu, Jesse Campion Loth, Eric Nathan Stucky, Sheila Sundaram, Mei Yin), Preprint.
- Count-Free Weisfeiler--Leman and Group Isomorphism (Nathaniel A. Collins, Michael Levet), Preprint.
- On the Descriptive Complexity of Groups without Abelian Normal Subgroups (Joshua A. Grochow, Michael Levet), Preprint.
- Comer Schemes, Relation Algebras, and the Flexible Atom Conjecture (Jeremy F. Alm, David Andrews, Michael Levet), RAMiCS 2023 (Preprint, Conference Version) .
- Directed Ramsey and Anti-Ramsey Schemes and the Flexible Atom Conjecture (Jeremy F. Alm, Michael Levet), Preprint.
- On the Complexity of Identifying Strongly Regular Graphs (Michael Levet), Preprint.
- Experience Report: Standards-Based Grading at Scale in Algorithms- (Lijun Chen, Joshua A. Grochow, Ryan Layer, Michael Levet), ITiCSE 2022. (Conference Version; Extended Preprint)
- On the Parallel Complexity of Group Isomorphism via Weisfeiler--Leman- (Joshua A. Grochow, Michael Levet), Preprint.
- Improved bounds on the size of the smallest representation of relation algebra 3265- (Jeremy F. Alm, Michael Levet, Saeed Moazami, Jorge Montero-Vallejo, Linda Pham, Dave Sexton, Xiaonan Xu), Algebra Universalis (2022), (arXiv, Journal).
- Master's Thesis: “Graph Homomorphisms and Vector Colorings ”
- Activity in Boolean Networks - (Abhijin Adiga, Hilton Galyean, Chris J. Kuhlman, Michael Levet, Henning S. Mortveit, Sichao Wu), Journal of Natural Computing (2017).
- A Mechanism Design Approach For Influence Maximization - (Michael Levet, Siddharth Krishnan), GameNets (2016).
- Network Structure and Activity in Boolean Networks - (Abhijin Adiga, Hilton Galyean, Chris J. Kuhlman, Michael Levet, Henning S. Mortveit, Sichao Wu), Cellular Automata and Discrete Complex Systems (2015).
Current and Upcoming Courses:
- College of Charleston
- Fall 2023: CSCI 310 Advanced Algorithms (2 sections)
- Fall 2023: CSCI 392 Seminar on Computing & Society
My Course Materials
I welcome comments, suggestions, and corrections. Please reach out to me via email with any feedback you may have regarding my notes.
- Theory of Computation (Draft) (Mathematical Preliminaries, Finite State Automata, Group Theory, Computability, Complexity)
- Computational Complexity Notes (Draft)
Algorithms Lecture Notes (Draft)
- Adopted as the official course text in CSCI 3104 Algorithms in Summer 2021 and Spring 2022
- Fundamentals of Computer Science Lecture Notes (Introduction to Java, Discrete Math, and Digital Logic)
- Introduction to Game Theory
- My guided-discovery problem set introducing the Shannon Capacity of a Graph
- During the Spring 2020, Fall 2020, and Summer 2021 semesters, I have implemented active learning in my Algorithms recitations. Here are some of my active learning worksheets. These have since been adopted in CSCI 3104 Algorithms during the Fall 2021 and Spring 2022 semesters.
- A First Course in Proofs
- Favorite Combinatorics and Graph Theory Books
- Bijective Combinatorics - Nicholas Loehr
- Introduction to Graph Theory - Douglas West
- Algebraic Graph Theory - Chris Godsil and Gordon Royle
- An Introduction to the Theory of Graph Spectra- Dragoš M. Cvetković, Peter Rowlinson, and Slobodon Simić
- Linear Algebra Methods in Combinatorics With Applications to Geometry and Computer Science- Laszlo Babai and Peter Frankl
- Theory of Computation and Algorithms
- Introduction to Algorithms- Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, and Clifford Stein
- Computational Complexity: A Modern Approach- Sanjeev Arora and Boaz Barak
- Models of Computation- John E. Savage
- Introduction to the Theory of Computation - Michael Sipser
- Introduction to Automata Theory, Languages and Computation (1st Edition)-
John E. Hopcroft and Jeffrey D. Ullman.
- Introduction to Automata Theory, Languages and Computation (3rd Edition)- John E. Hopcroft, Rajeev Motwani, and Jeffrey D. Ullman
- Remark: The 1st Edition of Hopcroft and Ullman's text is a beautifully written book full of a lot of important material. However, it is really geared at a mathematically mature audience. The 3rd edition is more watered down in terms of the material, but the authors emphasize proof strategy. The later edition is more appropriate for an audience with minimal proofs-based mathematics.
- Linear Algebra
- Linear Algebra- Stephen H. Friedberg, Arnold J. Insel, and Lawrence E. Spence
- Advanced Linear Algebra- Nicholas Loehr
- Abstract Algebra
- Abstract Algebra: Theory and Applications- Thomas Judson
- A Book of Abstract Algebra- Charles C. Pinter
- Abstract Algebra- David Dummit and Richard Foote
- Microeconomics and Game Theory
- Game Theory, Alive- Anna R. Karlin and Yuval Peres
- Mechanism Design and Approximation- Jason D. Hartline
- Auction Theory- Vijay Krishna
- Algorithmic Game Theory- Noam Nisan, Tim Roughgarden, Eva Tardos, and Vijay V. Vazirani
- Frank Thorne's Lecture Notes on the Mathematics of Game Shows