Daniel P. Biebighauser

 

Contact Information

 

Mail:

Department of Mathematics                              Office: Ivers 234F

and Computer Science                          Phone: (218) 299-3345

Concordia College                                            Email: biebigha@cord.edu

901 8th Street South                                         Web: http://www.cord.edu/faculty/biebigha/

Moorhead, MN 56562

 

Education

 

·        Ph.D., Mathematics, Vanderbilt University, 2006.

·        Master of Science, Mathematics, Vanderbilt University, 2004.

·        Bachelor of Arts, summa cum laude, Mathematics Honors, Concordia College, 2002.

 

Experience

 

·        Assistant Professor, Department of Mathematics and Computer Science, Concordia College, 2006-present.  Courses taught: Calculus I, Calculus II, Mathematics for the Behavioral Sciences, Discrete Mathematics, and Modern Algebra.

·        Graduate Teaching Assistant, Department of Mathematics, Vanderbilt University, 2002-2006.  Sole instructor for one calculus course in Fall 2003, Fall 2004, Spring 2005, and Fall 2005.  In addition, supervised a teaching assistant in Fall 2005.  Teaching assistant for one calculus course in Spring 2004 and Spring 2006.

·        Co-organizer and Presenter, Undergraduate Seminar in Mathematics, Vanderbilt University, 2004-2006. The seminar consisted of talks on interesting mathematical topics given by graduate students and professors to undergraduate students.

 

Research Interests

 

My research interests are in topological graph theory and hamiltonicity.  In particular, I have been looking at the existence of hamilton cycles in prisms of graphs embedded in certain surfaces.

 

Publications

 

·        “Prism-hamiltonicity of triangulations,” with M. N. Ellingham.  Journal of Graph Theory, 57, 3 (2008).

·         “Final digit strings of powers where the exponents end in 1, 3, 7 or 9,” with G. A. Heuer. Fibonacci Quarterly, 43, 4 (2005).

 

Daniel P. Biebighauser

Publications (continued)

 

·         “Final digit strings of cubes,” with J. Bullock and G. A. Heuer. Mathematics Magazine, 77, 2 (2004).

·        “General counting formulae for factorized time correlation diagram analysis,” with J. Gregoire and D. J. Ulness. Physica A, 320, 1 (2003).

·        “Factorized time correlation diagram analysis of paired causal systems excited by twin stochastic driving functions,” with D. B. Turner and D. J. Ulness. Phys. Rev. E 65, 026142 (2002).

Presentations

 

·        “Infinite 2-walks in 3-connected planar graphs,” Joint Mathematics Meetings, SIAM Minisymposium on Structure and Topology in Graph Theory, New Orleans, January 2007.  Invited.

·        “Prism-hamiltonicity of graphs,” Tri-College Mathematics Colloquium, North Dakota State University, November 2006.

·        “Infinite 2-walks in planar graphs with radial nets,” 19th Annual Cumberland Conference on Graph Theory, Combinatorics, and Computing, East Tennessee State University, May 2006.

·        “Prism-hamiltonicity of triangulations,” Graduate Student Combinatorics Conference, University of Wisconsin-Madison, April 2006.

·        “Knots and links in spatial graphs,” Graph Theory and Combinatorics Seminar, Vanderbilt University, April 2006.

·        “Prism-hamiltonicity of triangulations,” Graduate Student Research Day, Vanderbilt University, March 2006.

·         “Prism-hamiltonicity of triangulations,” 41st Midwest Graph Theory Conference, Middle Tennessee State University, September 2005.

·        “Prism-hamiltonicity of triangulations,” Graph Theory and Combinatorics Seminar, Vanderbilt University, September 2005.

·         “2-walks in 3-connected graphs,” Graph Theory and Combinatorics Seminar, Vanderbilt University, February 2005.

·        “Tutte paths and Tutte cycles in planar graphs,” Graph Theory and Combinatorics Seminar, Vanderbilt University, October 2004.

·         “Homology of graphs on surfaces and pseudosurfaces,” Graph Theory and Combinatorics Seminar, Vanderbilt University, April 2004.

·         “Initial and final digit sequences of integer powers,” with J. D. Bullock, Student Lecture Series, Concordia College, October 2001.

·        “Ending digit sequences of cubes,” with J. D. Bullock, Mathfest, August 2001.

Daniel P. Biebighauser

Honors

 

·        B. F. Bryant Prize for Excellence in Teaching, Vanderbilt University, 2006.

·        University Graduate Fellowship and Teaching Assistantship, Vanderbilt University.

·        Summer Research Award, Vanderbilt University, 2005.

·        Barry M. Goldwater Scholarship.