Talks

• How to Destroy the World with Number Theory (PPT, 3 MB) - A description of the Diffie-Hellman key exchange.  Talk was given at a Pi Mu Epsilon awards banquet and a Math/Stat Club meeting.
• What is Elliptic Curve Cryptography? (PPT, 4.4 MB) - A description of the elliptic curve key exchange.  Talk was given at the MAA Northeast Florida Regional meeting, the MAA Florida sectional meeting, the Embry-Riddle Undergraduate Research Conference, and the Honor's Math course.
• Fractals from Root Solving Methods (PPT, 3.4 MB) - Visualizations of certain root-solving methods (like Newton's method), especially visualizations that lead to fractals.  Talk was given at the MAA Florida sectional meeting.
• Curves and Surfaces from 3-D Matrices (PPT, 6 MB) - Pretty pictures based on 3-D matrices.  Talk covers the undergraduate research performed by Richard Barfield.  Talk was given at the MAA Florida sectional meeting.
• Squishin' Stuff (PPT, 80 KB) - Description of Huffman compression.  There are also two handouts: huffman compression and huffman chart.  Talk given in the Graduate Seminar and in various courses.
  

• Duality for Immersed Manifolds (PPT, 1 MB) - Defines Euclidean duals and perpendicular sphere bundles.  We then show that the duality of the Gauss map of a sphere bundle is equal to the singularity set of the Gauss map of the perpendicular sphere bundle.  Talk was given at the Workshop on Singularities in Geometry and Applications, Bedlow, Poland.
• Bitangencies on Higher Dimensional Manifolds (PPT, 6 MB) - Talks about the bitangency counting problem, and how it can be generalized to higher dimensions.  Talk was given at the International Conference of Singularities, Sao Carlos, Brazil.
• Self-Conjugate Vectors of Immersed 3-Manifolds in R⁶ (PPT, 1.3 MB) - Looks at asymptotic and self-conjugate vectors of 3-manifolds, and classifies all generic configurations.  Talk was gien at the Workshop on Singularities in Geometry and Applications, Valencia, Spain.