Search results for “geometry”
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NSF Research Fellow and postdoc at the University of Bonn. Previously an NSF Research Fellow and Postdoctoral Assistant Professor at the University of Michigan, and before that a graduate student at Stanford, advised by Brian Conrad. Interested in arithmetic geometry, algebraic groups (broadly construed), and integral questions connected to the local Langlands program.
CMI 2000, The Millennium Prize Problems
2026Problem sheet
A curiosity: “supersmooth” varieties
Theory
An example of a non-reduced Picard scheme
Theory
Finite flat commutative group schemes embed locally into abelian schemes
Theory
Some examples of algebraic groups
Theory
Two pathological phenomena for algebraic groups over general bases — a group degenerating between the multiplicative and additive group across a DVR, and a non-affine identity component — built as centralizers in SL_n.
ISE TCAD 7.0 on Apple Silicon: Running a 2001 Semiconductor Package on a MacBook Air M1
Notes
The Steinberg Representation
Theory
An introduction to the Steinberg representation of a finite group of Lie type — its alternating-sum construction from parabolic inductions, worked out explicitly for SL_2.
Charge Collection After Heavy-Ion Strikes: A Material Parameter Sweep in a 2001 TCAD Solver
Notes