# Tyler Markkanen

Associate 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

- Foundations of Mathematics
- Precalculus Mathematics
- Introduction to Calculus with Applications
- Geometry
- Discrete Mathematics I
- Discrete Mathematics II
- Linear Algebra

### Certifications and Memberships

- Teaching Certification for Mathematics, Grades 7-12 in Connecticut
- American Mathematical Society
- Mathematical Association of America
- UConn Logic Group

### Selected Works

### Presentations

- Mathematics, Physics, and Computer Science Colloquium - Springfield College, Springfield, MA (November 2015). "There are two errors in the the title of this talk."
- New England Recursion and Definability Seminar (NERDS), Assumption College, Worcester, MA (October 2015). "A-computable graphs."
- Mathematics Department Colloquium - Central Connecticut State University, New Britain, CT (February 2015). "Can computers do math? An introduction to computability theory and effective mathematics."
- Joint Mathematics Meetings, San Diego, TX (January 2015). Event: AMS Session on Mathematical Logic. "Restricting the Turing degree spectra of structures."
- CUNY Logic Workshop, CUNY Graduate Center, New York, NY (May 2014). “The domatic numbers of computable graphs.”
- Joint Mathematics Meetings, Baltimore, MD (January 2014). Event: AMS Session on Logic and Probability. "Highly computable graphs and their domatic numbers."
- Joint Mathematics Meetings, San Diego, CA (January 2013). Event: ASL Contributed Paper Session. "Domatic partitions of computable graphs."
- NERDS, Wellesley College, Wellesley, MA (October 2012). "Domatic partitions of computable graphs."
- Manhattan College Math and CS Seminar, Riverdale, NY (September 2012). "The shortest math talk that cannot be titled in under thirteen words."
- Indiana University Logic Seminar, Bloomington, IN (April 2011). "Separating the Turing degree spectra of countable structures."

### Publications

- "A-Computable graphs" (with Matthew Jura and Oscar Levin). Ann. Pure Appl. Logic, 2016, Volume 167, no. 3, Pages 235-246, DOI 10.1016/j.apal.2015.11.003, 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, Paper #P3.39. The final publication is available at http://www.combinatorics.org/ojs/index.php/eljc/article/view/5089.
- "Domatic partitions of computable graphs" (with Matthew Jura and Oscar Levin). Archive for Mathematical Logic, 2014, Volume 53, Pages 137-155, DOI 10.1007/s00153-013-0359-2. The final publication is available at link.springer.com.
- "Separating the degree spectra of structures." Ph.D. dissertation, University of Connecticut, 2009.