I will discuss some recent results on Serre weight conjectures in
dimension $> 2$, based on the study of certain tame type
deformation rings. This is joint work with (various subset of) D.
Le, B. Levin and S. Morra.
I will explain basic tools for thinking about derived categories of
coherent sheaves on rigid analytic spaces that are conducive to the
study of homological mirror symmetry. A particular focus will be
placed on the case of curves, and on methods...
Joint work with Ivan Smith. Let p be a positive integer. Take the
quotient of a 2-disc by the equivalence relation which identifies
two boundary points if the boundary arc connecting them subtends an
angle which is an integer multiple of ($2 \pi / p...
The heaviest elements in the periodic table are synthesized
through the r-process, but the astrophysical site for r-process
nucleosynthesis is still unknown. The major current candidates are
ordinary core-collapse supernovae and neutron star merger...
