Hi! I'm a postdoctoral fellow at the University of Melbourne in Australia. I am interested in the representations of *p*-adic groups and automorphic representations, and their study with relative trace formula.

I am also interested in algebraic groups, representation theory, homological techniques, and *K*-theory, and I like the interactions of algebra with geometry.

## Publications

- "Dimensions of Affine Springer Fibers for Some GLn Symmetric Spaces", Submitted. (arXiv/1506.04703)
- "A Cotriple Construction of a Simplicial Algebra Used in the Definition of Higher Chow Groups", Theory and Applications of Categories, Vol. 31, No. 13 (2016), pp. 384-387
- "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)

## Preprints

## Some Counterexamples

- Nine examples of projective modules that are not free
- A local ring that is Cohen-Macaulay but not regular
- A Serre fibration that is not a Hurewicz fibration

## Positions and Education

- 2016-Now: Postdoctoral Research Fellow, University of Melbourne (Under Kari Vilonen and Ting Xue)
- 2016: Ph.D. Mathematics, McGill University (Under Jayce Getz)
- 2011: M.Sc. Mathematics, McGill University (Under Daniel Wise)
- 2009: B.Sc. Honours Mathematics, University of Ottawa

## Other Interests

- Piano
- Photography
- Programming

## Conferences Attended and Upcoming

- March 7-10, 2016: 30th Automorphic Forms Workshop (Winston-Salem (NC), United States)
- November 30-December 4, 2015: Automorphic kernel functions (San Jose (CA), United States)
- November 20-21, 2015: Junior Number Theory Days (Newark (NJ), United States)
- October 10-11, 2015: Montreal-Toronto Workshop in Number Theory (Montreal (QC), Canada)
- May 7-10, 2015: Workshop on Representation Theory and Analysis on Lie Groups over Local Fields (Ottawa (ON), Canada)
- November 8-9, 2014: Special Session on Automorphic Forms and Related Topics (Greensboro (NC), United States)
- May 23-26, 2014: Algebraic and Geometric Invariants of Linear Algebraic Groups and Homogeneous Spaces (Ottawa (ON), Canada)
- November 23-24, 2013: Montreal-Toronto Workshop in Number Theory (Toronto (ON), Canada)
- May 30-June 1, 2013: GAP 2013: Geometry And Physics (Montreal (QC), Canada)
- October 15-18, 2012: Fundamentals of the Langlands Program (Toronto (ON), Canada)
- May 29-June 2, 2012: Cohomologies and Automorphic Forms (Strasbourg, France)

## Some of my Zentralblatt Reviews

- Stark, Computations of sheaves associated to the representation theory of sl2
- Itagaki, On the cyclic homology of an algebra associated with a cyclic quiver and a monic polynomial
- Huylebrouck, Observations about Leonardo's drawings for Luca Pacioli
- Gutiérrez, On solid and rigid monoids in monoidal categories
- Lack and Ross, Combinatorial categorical equivalences of Dold-Kan type