Curriculum Vita
For a printable version, please download a copy in pdf format.
Also of interest may be my statement on teaching philosophy and research statement.
Education
- Ph.D. Mathematics - 2009, University of Connecticut. Thesis Adviser: Reed Solomon.
- M.S. Mathematics - 2006, University of Connecticut
- B.S. Mathematics - 2004, University of Northern Colorado.
- B.A. Philosophy - 2004, University of Northern Colorado.
Teaching Experience
University of Northern Colorado
- Topics in Calculus - Math 176, Fall 2011
- Discrete Mathematics - Math 228, Fall 2011
Coastal Carolina University, Visiting Assistant Professor, 2009 - 2011:
- Trigonometry - Math 131, Spring 2010, Spring 2011
- Basic Concepts of Contemporary Mathematics - Math 139, Fall 2009, Fall 2010.
- Calculus 1 - Math 160, Fall 2009, Summer 2010, Fall 2010.
- Discrete Mathematics for Middle School Teachers - Math 173, Spring 2010, Spring 2011.
- Math Proofs and Problem Solving - Math 220, Spring 2011.
University of Connecticut, Graduate Teaching Assistant, 2004 - 2009:
- Basic Algebra with Applications - Math 1010, Summer 2005 and 2006.
- Problem Solving - Math 1020, Summer 2007 and Winter 2008.
- Introductory Calculus 1 - Math 1120, Fall 2004.
- Introductory Calculus 2 - Math 1121, Spring 2005 and Fall 2005.
- Introductory Calculus 3 - Math 1122, Fall 2006.
- Calculus I - Math 1131, Spring 2007.
- Calculus II - Math 1132, Spring 2006, Fall 2007.
- Multivariable Calculus - Math 2110, Fall 2008.
- Applied Linear Algebra - Math 2210, Spring 2008, Spring 2009
Elsewhere:
- Critical Thinking and Writing (online) - TA, University of Northern Colorado, Fall 2003.
- Formal Logic I & II - TA, University of Northern Colorado, Fall 2002 and Spring 2003
- Introduction to Linear Algebra - Minicourse, Denver Waldorf High School, Spring 2003.
Research Interests
Effective Algebra, Computability Theory, Reverse Mathematics, Computable Model Theory, Complexity Theory, Mathematical Logic.
Publications and Research Experience
- Computable Dimension of Ordered Fields, submitted for publication.
- Embeddings of Computable Structures, with Asher M. Kach and Reed Solomon, Notre Dame Journal of Formal Logic, 51:1 (May 2010).
- Computability Theory, Reverse Mathematics, and Ordered Fields, Ph.D. Thesis, University of Connecticut, 2009.
- Gassmann Triples in Semi-Direct Products of Cyclic Groups. REU at Louisiana State University, Summer 2003. Adviser: Robert Perlis.
Presentations
- To Infinity and Beyond, Coastal Carolina University High School Math Contest, March 2010
- Computable Dimension of Ordered Fields, Joint Mathematics Meeting, January 2009.
- Graph Theory and the Four Color Theorem, UConn Math Club, September 2008.
- A Surprising Theorem, UConn Math Club, February 2008.
- Goodstein's Theorem and the Limits of PA, New York Graduate Student Logic Conference, March 2007.
- Goodstein's Theorem, SIGMA Seminar, University of Connecticut, March 2007
- Not a Proof of the Four Color Theorem, SIGMA Seminar, University of Connecticut, September 2006.
- Games Mathematicians Play, SIGMA Seminar, University of Connecticut, April 2006.
- Ramsey Theory, SIGMA Seminar, University of Connecticut, April 2005.
- Twin Relative Primes, MAA Rocky Mountain Section Meeting in Colorado Springs, April 2003
- Research Day presenter, University of Northern Colorado 4/04, 4/03, 4/02, & 4/01.
Activities
- Putnam Exam Supervisor - Coastal Carolina University, Fall 2009 & 2010.
- TA Network Member - mentor incoming teaching assistants, participate in panel discussions, observe and provide feedback for TA-taught classes, 2008-2009
- TA Network Webmaster, 2008-2009.
- SIGMA (Graduate) Seminar; organizer, 2007-2009.
- Mathematics Teaching Philosophy Statements; workshop co-organizer, Fall 2008
- Graduate Student Movie Night; organizer, 2006-2008.
- Teaching Assistant Orientation Workshop; panelist, Fall 2008.
- Mathematics Department Graduate Recruitment; presenter and activities coordinator, Spring 2008.
- Preparing for graduate school in mathematics, UConn math club; panelist, Fall 2007.
- University of Northern Colorado Math Club; president, 2002-2003.
Awards and Honors
- University of Connecticut Outstanding Graduate Teaching Award (university wide), 2009
- Summer Predoctoral Fellowship, 2008
- Connie Strang Community Service Award, 2008
- Graduate School Fellowship Award, Spring 2008
- Louis J. DeLuca Memorial Award for Outstanding Teaching Assistant (mathematics department), 2007
- Graduated University of Northern Colorado summa cum laude, Spring 2004
- University of Northern Colorado Departmental Scholar: Mathematics 2002, Philosophy 2003 & 2004
Personal Information
Professional Membership: ASL (Association of Symbolic Logic), MAA.
Citizenship: U.S.A.