REU 1990
The students in O'Shea's 1990 group were Chrissie Beaber (MHC, '91),
Eileen Cheng (MHC, '92), Brendan Hassett (Yale, '93), Gwendolyn Lloyd
(Bryn Mawr, '91) and Rebecca Runnels (Holy Cross, '91). The group
developed a method for computing principal curvatures of algebraic
surfaces in complex three-space and used it to compare the asymptotics of
principal curvatures along arcs on surfaces approaching a singularity
tangent to exceptional lines with arcs approaching transverse to
exceptional lines. Their results show a higher order of approach to
infinity along arcs tangent to exceptional lines. They were able to
use their approach to phrase obstructions to exponential maps in terms
of limiting normals.
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