I am a Canadian PhD student in my final year at McGill University supervised by Jayce R. Getz. I study the phenomenon of endoscopy, with representations of algebraic groups over nonarchimedean local fields being the main ingredient. Although this area is well developed for the adjoint representation, I focus on more exotic and mysterious representations for which the geometric meaning remains to be unearthed.
Publications
- "Dimensions of Affine Springer Fibers for Some GLn Symmetric Spaces", Submitted. (arXiv/1506.04703)
- "Exposing Relative Endoscopy in Unitary Symmetric Spaces", Res. Math. Sci. Vol. 2. No. 1 (2015) (arXiv/1412.6193)
- (with D.T. Wise), "A Note on VH Subdivisions", Publ. Mat. 57 (2013), pp. 421-428. (arXiv/1310.0843)
Education
- 2012-Current: Ph.D. Mathematics, McGill University
- 2011: M.Sc. Mathematics, McGill University
- 2009: B.Sc. Honours Mathematics, University of Ottawa
Mathematical Interests
- Endoscopy and Trace Formula
- Representation Theory
- Algebraic Groups
- Homotopy theory
- Algebraic K-Theory
Other Interests
- Piano
- Photography
