Current Projects

I'm currently studying the equivariant K-theory of Lie groups which have torsion in their fundamental group acting on themselves by conjugation. The torsion-free case is known by a result of Brylinsky & Zhang. This has also led me to compute representation rings of semidirect products of a torus by a finite group. My dissertation on this subject will be defended during the Summer of 2015.

Past Projects

Picture Credits

The algebraic surfaces on the left were generated using Surfer. They are (from top to bottom): a Cayley cubic, a Labs septic with 99 singularities, a Kummer quartic, and a Clebsch cubic.

"Live your questions now, and perhaps even without knowing it,
you will live along some distant day into your answers."

-Rainer Maria Rilke


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