Tyler Markkanen
Tyler Markkanen
Professor of Mathematics
- Doctor of Philosophy, University of Connecticut, Storrs, Conn., 2009
- Master of Science, University of Connecticut, Storrs, Conn., 2006
- Bachelor of Science, Rensselaer Polytechnic Institute, Troy, N.Y., 2004
Tyler Markkanen is a mathematician and teacher. His research is in mathematical logic, with a special interest in computability theory and computable model theory. For fun, he likes to sing, perform magic tricks, and play games. After graduate school, Markkanen taught as a tenure-track assistant professor of mathematics at Saint Mary-of-the-Woods College in Terre Haute, Ind. From the fall of 2011 to the spring of 2014, he was a visiting assistant professor of mathematics at Manhattan College in Riverdale, N.Y. He began his work at Springfield College in fall 2014, and says he is loving every minute of it!
Research Interests
- Mathematical Logic
- Computability Theory
- Computable Model Theory
Courses Taught
- MATH 101 Foundations of Mathematics
- MATH 125 Precalculus
- MATH 142 Calculus II
- MATH 235 Discrete Mathematics I
- MATH 310 Linear Algebra
- MATH 405 Mathematical Analysis
Certifications and Memberships
- American Mathematical Society
- Association of Symbolic Logic
- Mathematical Association of America
- University of Connecticut Logic Group
Selected Works
Presentations
- Mathematical Association of America MathFest, Boston, MA (August 2026). Event: Recreational Mathematics, Including Using Games & Puzzles to Enhance Core Math Courses. "A Combinatorial Mathemagic Trick for Liars."
- Association of Symbolic Logic (ASL) North American Annual Meeting, University of Pennsylvania, Philadelphia, PA (July 2026). "Deciding the Density of Computable & C.E. Sets."
- Mathematics Department Colloquium, Central Connecticut State University, New Britain, CT (April 2026). "The Shortest Math Talk Not Titleable in Under Fifty-Five Letters."
- New England Recursion & Definability Seminar (NERDS 27.0), UConn, Storrs, CT (October 2025). "Deciding the Density of Computable & C.E. Sets."
- Indiana University Logic Seminar, Bloomington, IN (April 2023). "Density & Dismantling Orders in Computable Graphs." Online talk.
- NERDS 21.0, UConn, Storrs, CT (April 2022). "Perfect Matchings in Graphs and Reverse Mathematics."
- UConn Logic Group, UConn, Storrs, CT (October 2020). "Computing Perfect Matchings in Graphs." Online talk.
- ASL North American Annual Meeting, CUNY Graduate Center, New York, NY (May 2019). "Perfect Matchings in Graphs & Reverse Mathematics."
- Joint Mathematics Meetings (JMM), Baltimore, MD (January 2019). Event: MAA Poster Session: Recreational Mathematics: Puzzles, Card Tricks, Games & Gambling. "Cardinality Puzzles."
- JMM, Atlanta, GA (January 2017). Event: Innovative Teaching through Recreational Mathematics, I (Co-coordinated with Matthew Jura & Oscar Levin). "The 'Mathemagical' Classroom."
Publications
- "Deciding the Density of Computable and Computably Enumerable Sets" (with Stephen Flood, Matthew Jura & Oscar Levin). Submitted for publication.
- "The Computational Strength of Matchings in Countable Graphs" (with Stephen Flood, Matthew Jura, and Oscar Levin). Annals of Pure and Applied Logic, 2022, Volume 173, Issue 8, URL https://doi.org/10.1016/j.apal.2022.103133.
- "Puzzles of Cardinality" (with Oscar Levin). The College Mathematics Journal, 2021, Volume 52, Issue 4, Pages 243-253, URL https://doi.org/10.1080/07468342.2021.1941539.
- "A-Computable Graphs" (with Matthew Jura and Oscar Levin). Annals of Pure and Applied Logic, 2016, Volume 167, Issue 3, Pages 235-246, URL http://dx.doi.org/10.1016/j.apal.2015.11.003.
- "Finding Domatic Partitions in Infinite Regular Graphs" (with Matthew Jura and Oscar Levin). Electronic Journal of Combinatorics, 2015, Volume 22, Issue 3, Article Number P3.39. URL https://doi.org/10.37236/5089.
- "Domatic Partitions of Computable Graphs" (with Matthew Jura and Oscar Levin). Archive for Mathematical Logic, 2014, Volume 53, Pages 137-155, URL https://doi.org/10.1007/s00153-013-0359-2.
- "Separating the degree spectra of structures." Ph.D. dissertation, University of Connecticut, 2009.
