Dr. M. Brad Henry
Email: mbhenry@siena.edu
Office: Roger Bacon Hall 446
Phone: (518) 783-2569
Personal Website
Education
B.A., Majors: Mathematics, Computer Science, Minor: Philosophy, 2003, Augustana College, Rock Island, IL
M.A., Mathematics, 2005, Washington University in St. Louis, St. Louis, MO
Ph.D., Mathematics, 2009, Washington University in St. Louis, St. Louis, MO
Courses Taught
- Calculus I, II, and III
- Foundations of Mathematics
- Euclidean and Non-Euclidean Geometry
- Number Theory
- Linear Algebra
Research and Interests
My research program investigates topological, algebraic, and geometric methods in low-dimensional topology and smooth knot theory as applied to the category of Legendrian knots. I attempt to refine the ``geography'' of Legendrian knot theory by finding connections between new and existing knot invariants. Many of the objects involved are combinatorial in nature and unanswered questions exist that are excellent for undergraduate investigation.
Recent Publications
- A combinatorial DGA for Legendrian knots from generating families, [With D. Rutherford] (2012). To appear in Communication in Contemporary Mathematics.
- Connections between Floer-type invariants and Morse-type invariants of Legendrian knots, Pacific Journal of Mathematics, 249-1 (2011), 77--133.
Recent Talks
- "A combinatorial DGA for Legendrian knots from generating families," Georgia Topology Conference, University of Georgia, (2012).
- "A rollercoaster ride through knot theory," Hudson River Undergraduate Mathematics Conference, (2012).
- "The Infinitude of the Primes: The beauty of many proofs," Siena College Math Colloquium, (2012).
- "Connections between the Chekanov-Eliashberg DGA, Morse complex sequences, and the generating family DGA of Legendrian knots," Universite de Nantes Trimester on Contact and Symplectic Topology, (2011).
- "Finding an advantage in Connect Four and the game of Hex," The University of Texas, Saturday Morning Math Group, (2011).