The Highly Damped Quasinormal Modes of
Extremal Reissner-Nordstrom and Reissner-Nordstrom-de Sitter Black
Holes, with Ramin G. Daghigh
We analyze in detail the highly damped quasinormal modes of
D-dimensional extremal Reissner-Nordstrom and Reissner-Nordstrom-de
Sitter black holes. We show that in the extremal case (when the
event horizon and the Cauchy inner horizon coincide) the highly damped
quasinormal mode frequencies match exactly with the extremal limit of
the non-extremal black hole quasinormal mode frequencies.
The Cantor Set Contains 1/4? Really? - Thoughts On Student
Intuition,
with S. M. Belcastro
The Cantor set consists of more than just the endpoints of the
intervals
that are usually used to construct it (by successively removing the
middle
thirds). Every mathematician knows this, yet most mathematicians
don't know of the simplest example of a point in the Cantor set that is
not one of the endpoints. Amazingly, the proof that 1/4 is an
example
of such a point is very easy. So why is this illuminating and
easy
example found in almost no texts in Introductory Analysis? The
world
may never know.
Generalized Lê Numbers and Lê-Iomdine Formulas
We generalize Massey's definition of the Lê cycles to an
arbitrary
analytic space and also prove Lê-Iomdine type formulas for these
cycles.
Vanishing Cycles and Thom's a_f Condition, with D. Massey
We give topological and numerical conditions which imply that Thom's
a_f condition holds for a complex analytic function on an arbitary
complex
analytic space.