# Oscar Levin, Ph.D.

# Assistant Professor

## Contact Information

**Phone:**(970) 351-2380**Email:**oscar.levin@unco.edu**Office:**Ross Hall 2239-G- Personal Page

## Education

- 2009, Ph.D. (Mathematics), University of Connecticut.
- 2006, M.A. (Mathematics), University of Connecticut.
- 2004, B.A. (Philosophy), University of Northern Colorado.
- 2004, B.S. (Mathematics), University of Northern Colorado.

## Teaching

I have taught a wide variety of courses at UNC: Math 131 and 132 (Calculus I and II), Math 228 (Discrete Mathematics), Math 321 (Abstract Algebra I), Math 341 (Modern Geometry I), Math 531 (Continuous Mathematics), Math 550 (Applied Probability and Statistics), Math 778 (Logic), and Math 795 (Graph Theory).

#### Current classes:

- Math 131 Calculus I

## Research Interests

I work in an area of mathematical logic known as *computability theory* (or sometimes *recursion theory*). The goal is to understand to what extent "regular" mathematics is or is not algorithmic. I am especially interested in applications to algebra and combinatorics.

#### Publications

- Levin, O.
*Computable Dimension of Ordered Fields*, submitted for publication. - Jura, M., Levin, O., Markkanen, T.
*Domatic Partitions of Computable Graphs*, Archive for Mathematical Logic, 53:1 (January 2014) 137-155. - Levin, O., Roberts, G.
*Counting Knights and Knaves*, College Mathematics Journal, 44:4 (September 2013) 300-306. - Kach, A.M., Levin, O., Solomon, D.R.,
*Embeddings of Computable Structures*, Notre Dame Journal of Formal Logic, 51:1 (May 2010) 55-68.

See my research page for copies of these papers.