Welcome to my personal page. I am a postdoctoral fellow in math at the University of Arizona. My mentor is Prof. Doug Pickrell. I obtained my Ph.D. from the University of Toronto in Nov. 2019, under the supervision of Prof. Eckhard Meinrenken.
Research interests: Symplectic/Poisson geometry, Lie theory, index theory, and applications to mathematical physics.
Twisted Moduli Spaces and Duistermaat-Heckman Measures. Accepted, J. Geom. and Physics. (arXiv: 2007.00103).
On a Hitchin-Thorpe Inequality for Manifolds with Foliated Boundaries. Ann. Math. Québec 41 (2017), no. 1, pp.169-197. (arXiv: 1509.08998).
Twisted Conjugation on Connected Simple Groups and Twining Characters. (arXiv: 1811.06507).
This Fall term, I am teaching first Analysis of Ordinary Differential Equations (MAT135).
MATH313 - Intro. to Linear Algebra (University of Arizona, Spring 2020)
MATH125 - Calculus I (University of Arizona, Fall 2019)
MAT224 - Linear Algebra II (University of Toronto, Fall 2017)
MAT257 - Analysis II (University of Toronto, Year 2016-2017)
Below is a collection of write-ups on various subjects. Of course, comments are welcome, especially if there are mistakes and/or typos.
Twisted conjugation, quasi-Hamiltonian geometry, and Duistermaat-Heckman Measures (pdf). My 2019 Ph.D. thesis, written under the supervision of Prof. Meinrenken at UofT.
Twisted Moduli Spaces and Duistermaat-Heckman Measures (pdf). Slides of my PhD defense.
Twisted Moduli Spaces and Duistermaat-Heckman Measures (pdf). Poster presented at the Poisson 2018 conference (Fields Institute, Toronto, July 2018).
The Cattaneo-Felder symplectic groupoid (pdf). Term paper for Eckhard Meinrenken's course on Poisson geometry (Spring 2017).
Vector Diffusion Maps in Cryo-Electron Miscroscopy (pdf). Slides of an end of term presentation for Hau-Tieng Wu's course on the math of massive data analysis (Fall 2016).
Generalized Kähler potential vs symplectic potential (pdf). Notes for a talk given at the geometric structures lab (gLab) seminar (September 2016).
Inégalité de Hitchin-Thorpe pour variétés à bords et à cusps feuilletés (pdf). My 2014 M.Sc. thesis, written under the supervision of Prof. Rochon at UQAM.