Department of Mathematics and Statistics
University of North Florida
4567 St. John's Bluff Rd., South
Jacksonville, FL 32224
(904) 620-3718
Email: ddreibel@unf.edu
CURRENT POSITION
2004 - Present: Associate Professor, Department of
Mathematics, University of North Florida
1998 - Present: Assistant Professor, Department of Mathematics,
University of North Florida
EDUCATION
May 1998: Ph.D. Mathematics Brown University, Providence, RI
May 1995: Sc.M. Mathematics Brown University, Providence, RI
May 1993: B.A. Mathematics, High Distinction, University of
Virginia, Charlottesville, VA
PUBLICATIONS
"Conjugate Vectors of Immersed Manifolds," accepted, Conference Proceedings of the 9th Internation Workshop on Real and Complex Singularities.
"The Geometry of Flecnodal Pairs," Real and Complex Singularities, Trends in Mathematics (2007), 113-126.
"Birth of bitangencies in a family of surfaces in R4," Differential Geometry and
its Applications. 24 (2006), no. 4, 321-331.
"Invariance of the Diagonal Contribution in a Bitangency Formula," Real and Complex Singularities, 45-56, Contemp. Math., 354, Amer. Math. Soc., 2004.
"Singularities of the Gauss Map and Binormal Surfaces," Advances
in
Geometry, 3 (2003), 453-468.
"A Self-Intersecting Sphere," EG-Models,
2002.
"A Bitangency Theorem for Surfaces in Four-Dimensional Euclidean Space," Quarterly Journal of Mathematics, 52 (2001).
Editor for web version: T. Banchoff, T. Gaffney, and C. McCrory, "Cusps of Gauss Mappings," web version, Electronic Library of Mathematics, European Mathematical Information Service. 1998.
"A Bitangency Theorem for Immersed Surfaces in Four-Dimensional Euclidean Space," Ph.D. dissertation.
With J. Rovnyak and K. Y. Li, "Coefficients of Bounded Univalent
Functions," Proceedings of the Conference of Complex Analysis
(Tianjin, 1992), 45-48, Conference Proceedings and Lecture Notes in
Analysis.
GRANTS
Summer 2007: Research Grant, Awarded by University of North Florida, "4-D Geometry of Lighted Surfaces"PRESENTATIONS
"Visualizing Milnor's Fibration Theorem", MAA Florida Regional Meeting, Lakeland, FL, March 2008."Visualizing Root Approximations", Student MAA Chapter Meeting, Jacksonville University, October 2005.
"Reconstructing Surfaces from their Outlines", Keynote talk, Florida Northeast Regional MAA Meeting, Jacksonville University, April 2005.
"The Geometry of Flecnodal Normals", 8th International Workshop on
Real and Complex Singularities, LUMNY, Marseille, France, July 2004.
"Building a Web Component for Explorations in
Mathematics", The 14th International Conference on College
Teaching and Learning, Jacksonville, April 2003.
"Invariance of the Diagonal Contribution in a Bitangency Formula", 7th International Workshop on Real and Complex Singularities, ICMC-USP, Sao Carlos, Brazil, July 2002.
"Squishin' Stuff: The Mathematics of Data Compression," Graduate Student Seminar, University of North Florida, October 2001.
"Fancy Ways to Connect the Dots," Graduate Student Seminar, University of North Florida, September 2000.
"Lights and Shadows: The Mathematics of Vision," Math/Stat Club Presentation, University of North Florida, February 2000.
"Singularities of the Binormal Surface," Contributed Paper, Joint Mathematics Meeting, Washington D.C., January 2000.
"Using the Web and WebCT in ‘Explorations in Mathematics’," Contributed Paper, Joint Mathematics Meeting, Washington D.C., January 2000.
"Lights, Shadows, and Stick Figures: The Mathematics of Vision," Seminar, Jacksonville University, April 1999.
"The Fourth Dimension," Seminar, Jacksonville University, April 1999.
"Bitangencies on Curves and Surfaces," MAA Florida Regional Conference, Panama City, March 1999.
"Semi-Simple Web Page Creation," Colloquium, University of North Florida, February 1999.
"A Bitangency Theorem for Surfaces in Euclidean Four-Space," Seminar, Fairfield University, July 1998.
"Apparent Contours of Surfaces," Job Talk, University of North Florida, April, 1998.
"Bitangencies on surfaces in Euclidean Three-Space," Shapes of Surfaces Seminar, Brown University, March, 1998.
"A Bitangency Theorem for Surfaces in Euclidean Four-Space," Geometry Seminar, Brown University, March, 1998.
"Contact Between Circles and Surfaces," Shapes of Surfaces Seminar, Brown University, November, 1997.
"A Counterexample to a Conjecture on the Coefficients of a Bounded
Univalent Function," AMS National Meeting, Washington D.C., April,
1993.
MISCELLANEOUS
2000: Picture design for MAA recruitment advertisement.
2000: Picture design for MAA recruitment decal.
1998: Picture design for Brown University mathematics
graduate program
brochure.
PROFESSIONAL SERVICE
University Committees
Department Committees
2005-Present: Undergraduate Director, Department of Mathematics and Statistics.
2005-Present: Faculty Advisor, Math/Stat Club
2001-2003: Coordinator for the computer-based college algebra.
1999-2002: Faculty Advisor, Sigma Kappa Brendo
TEACHING
2007: 2007 Outstanding Undergraduate Teaching Award, University of North Florida
2003: UNF Student's Choice Award, Mathematics
2003: Award for Innovative Excellence in Teaching, Learning
and Technology, The 14th International Conference on College Teaching
and Learning
2002: 2002 Outstanding Undergraduate Teaching Award, University of North Florida
1999-2000: Project NExT Fellow
1998: Outstanding Teach Prize in Mathematics, Brown University.
Undergraduate Courses:PROFESSIONAL ASSOCIATIONS
Mathematical Association of America
American Mathematical Society