David Constantine
Department of Mathematics
University of Michigan, Ann Arbor
- Contact Info:
- Email: constand AT umich DOT edu
- Office: 1836, East Hall
- 530 Church Street
- Ann Arbor, MI 48109
- Phone: (734) 763-1552
- First Things First:
- A small, first step in helping others: The Hunger Site.
- Affiliation:
- I am a graduate student
in the
Department of Mathematics at the
University of Michigan.
- Research:
- My research interests are in Riemannian geometry and dynamical systems, particularly in using dynamical techniques to study geometric problems. I'm interested in rigidity problems, Lie groups, geodesic flows and symmetric spaces.
- My thesis advisor is Prof. Ralf Spatzier.
- Papers:
- "2-Frame flow dynamics and hyperbolic rank rigidity in nonpositive curvature" can be found here. It presents a rank rigidity result achieved by looking at dynamics of the frame flow. It's somewhere in the publication process (hopefully).
- "Consequences of ergodic frame flow for rank rigidity in negative curvature" can be found here. It is an earlier version of the paper above with results for negative curvature only. It's not planned for publication but may be of interest if you only want the negative curvature proof, which is considerably simpler.
- "Lengths of finite dimensional representations of PBW algebras" can be found here. It is with co-author Matt Darnall and is from a summer research program at Temple University directed by Ed Letzter. It has been published in Linear Algebra and its Applications 395 (2005) 175-181.
- Teaching:
- I have taught Calculus I and II (Math 115-116) at Michigan and in the Fall of 2007 was co-coordinate for Precalculus (Math 105). This winter I will be teaching Math 116.
- Other:
- You can find my CV here.
- Along with Felipe Ramirez, I am currently organizing the Student Geometry/Topology Seminar at Michigan.