Maths

Conference talks :

• Local-global principle, isogenies, and Tamagawa numbers of algebraic tori. Talk given for the Graduate Research Prize at the UBC Mathematics department colloquium (February 2021). [slides] [Jupyter notebook]
• Admissibility of representations of groups acting strong-transitively on affine buildings. Buildings and affine Grassmannians (August 2019) CIRM, Luminy, France
• Tamagawa numbers and algebraic tori 33rd Automorphic forms workshop (March 2019). Duquesne University

PhD Thesis

Tamagawa numbers of symplectic algebraic tori, orbital integrals, and mass formulae for isogeny class of abelian varieties over finite fields. Supervised by Julia Gordon.

Master Thesis

Admissibility of representations of totally disconnected locally compact groups. Supervised by Uriya First and Eva Bayer.
Here is the poster.

Semester projects

• [2nd year Bachelor]Yoneda's Lemma, written with Jean-Claude Ton. Supervised by Martina Rovelli and Kathryn Hess Bellwald.
• [3rd year Bachelor]Hopf algebras and rooted trees. Supervised by Shengda Hu.
• [3rd year Bachelor]An approach to projective geometry. Supervised by David McKinnon.
• [1st year Master]Resolution of singularities. Supervised by Dimitri Wyss and Tamas Hausel

Seminar talks :

• Undergraduate Students Seminar at EPFL : Can one hear the shape of a drum ?
• Undergraduate Students Seminar at EPFL : Around Hopf Algebras.
• Undergraduate Students Seminar at EPFL : Zariski density and projective geometry over Q.
• Graduate Students Seminar at UBC : Amenability, its link to Banach-Tarski paradox and random walks in graphs.
• Algebraic Geometry Students Seminar at UBC : Vojta Conjecture on density of integral points, and its proof in Pⁿ(Q).
• Reading seminar on the trace formula : Classification of the representations of GL₂(Q_p).
• Reading seminar on automorphic forms : The Hasse-Weil Zeta function, computations and statement of the Weil Conjectures.
• Reading seminar on automorphic forms : Outline of the proof of Riemann hypothesis for the Hasse Weil Zeta function and the cohomology desired for the proof.
• Reading seminar on automorphic forms : Introduction to Grothendieck topologies and the étale site.
• Reading seminar on automorphic forms : p-adic and motivic Igusa zeta-functions; proof of rationality using cell decomposition.
• Representation theory seminar at UBC : Cohomology of algebraic tori in SAGE.
• Student algebraic geometry seminar at UBC : Tamagawa Numbers and Tori
• Reading seminar on automorphic forms : Principally polarized abelian varieties, moduli spaces, and theta functions.
• Reading seminar on automorphic forms: Principally polarized complex abelian varieties and the Siegel moduli space.
• Reading seminar on automorphic forms: The Satake isomorphism and intertwinning operators.