Son Lam Ho
sonlam shift2 math umd edu
Geometric topology, deformation of geometric structures, hyperbolic geometry. My advisor is professor Bill Goldman. I am currently studying flat conformal (S^3,SO(4,1)) structures on circle bundles over compact surfaces.
In their 1988 paper, Gromov Lawson and Thurston constructed flat conformal structures on non-trivial circle bundles over closed surfaces. In all these examples, the (non-zero) Euler numbers of the bundles are bounded by the Euler characteristic of their underlying surfaces in terms of absolute value. An interesting question would be: does there exist a flat conformal structure on a very twisted circle bundle (i.e. with large Euler number) over a given surface?
These bundles are all Seifert fibered spaces, and the conformal S^3 is to be the boundary at infinity for the hyperbolic 4-space.
Lecturer: Math 461 Linear Algebra(Summer 2011),
Stat 100 Intro. to Stats(Fall 2009)
Math 221 Calculus 2 (Summer 2013)
TA: Math 220 Elem Calc I (Spring 2010), Math 140 Calculus I (Fall 2010).
"A scientist worthy of his name, about all a mathematician,
experiences in his work the same impression as an artist; his pleasure is as great and of the same nature." - Henri Poincare