Curriculum Vitae

Daniel Dreibelbis



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


RESEARCH INTERESTS:

Differential geometry through singularity theory, surfaces immersed in four-dimensional Euclidean space


PUBLICATIONS

"Topology of the Real Milnor Fiber for Isolated Singularities", with R. dos Santos and N. Dutertre, To Appear, Contemporary Mathematics.

"Self-conjugate Vectors of Immersed 3-manifolds in R6", Topology and its Applications, 2011.

"Conjugate Vectors of Immersed Manifolds," Real and Complex Singularities, 1-12, Contemp. Math., 459, Amer. Math. Soc., 2008.

"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 2009: Teaching Grant, Awarded by University of North Florida, "Undergraduate Elliptic Curves"

Summer 2007:
Research Grant, Awarded by University of North Florida, "4-D Geometry of Lighted Surfaces"

Summer 2002:
Teaching Grant, Awarded by University of North Florida, "Using the web in Explorations".

Summer 2001: Teaching Grant, Awarded by University of North Florida, "Improving the computer-based college algebra system".

Summer 2000: Research Grant, Awarded by University of North Florida, "Parabolic curves of evolving surfaces in R4.

Summer 1999: Technology and Teaching Grant, Awarded by University of North Florida, "Using WebCT in Explorations of Mathematics".

Summer 1998: Communications in Visual Mathematics, Awarded by the Mathematical Association of America.

Summer 1992: Research Experiences for Undergraduates, Awarded by the National Science Foundation.


PRESENTATIONS

"Duality of Immersed Manifolds", Workshop of Singularities in Geometry and Applications, Bedlewo, Poland, May 2011.

"How to Destroy the World Through Number Theorey", Pi Mu Epsilon, Jacksonville, FL, April 2011.

"Fractals from Root-solving Techniques", MAA Florida Regional Meeting, Orlando, FL, February 2011.

"Bitangencies on Higher Dimensional Immersed Manifolds", 11th International Workshop on Real and Complex Singularities, ICMC-USP, Sao Carlos, Brazil, 2010.

"Curves and Surfaces from 3-D Matrices", First Coast MAA Sectional Meeting, Jacksonville, FL, January 2010 and MAA Florida Regional Meeting, Gainesville, FL, February 2010.

"Self-Conjugate Vectors on Immersed 3-Manifolds in R6", International Workshop on Singularities in Generic Geometry and Applications, Valencia, Spain, March 2009.

"What is Elliptic Curve Cryptography?", First Coast MAA Sectional Meeting, Jacksonville, FL, January 2009 and MAA Florida Regional Meeting, Fort Meyers, FL, February 2009, Key Note Talk, Embry-Riddle Undergraduate Mathematics Conference, Daytona, FL, April 2010.

"Singularities of the Tangential Gauss Map", 10th International Workshop on Real and Complex Singularities, ICMC-USP, Sao Carlos, Brazil, July 2008.

"Visualizing Milnor's Fibration Theorem", MAA Florida Regional Meeting, Lakeland, FL, March 2008.

"The Geometry of Conjugate Vectors", 9th International Workshop on Real and Complex Singularities, ICMC-USP, Sao Carlos, Brazil, July 2006.

"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

2005-2010: Undergraduate Director, Department of Mathematics and Statistics.

2005-2010: 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 Teaching Prize in Mathematics, Brown University.

Undergraduate Courses: Graduate Courses: Thesis Advisor:

PROFESSIONAL ASSOCIATIONS

Mathematical Association of America

American Mathematical Society
 
 


Last updated, 9/15/11