David Marcil

Email : dmarcil [at] math.columbia.edu (CV)

I am currently a fifth year Ph.D. student in Mathematics at Columbia University. My supervisor is Michael Harris
I graduated from McGill University with a B.Sc. in Mathematics (Honours) in May 2019.

My main research interest is algebraic number theory with an emphasis on automorphic representations, Hida theory and p-adic L-functions.

Publications

David Marcil, Numerical verification of a conjecture of Harris and Venkatesh, Journal of Number Theory, Volume 221, April 2021, p.484-495. https://doi.org/10.1016/j.jnt.2020.09.003 (PDF)

https://orcid.org/0000-0001-6667-0320

Preprints

David Marcil, Bushnell-Kutzko types for P-ordinary automorphic representations on unitary groups, arxiv:2310.09110 (PDF)

David Marcil, p-adic zeta integrals on unitary groups via Bushnell-Kutzko types, arxiv:2311.05466 (PDF)

In preperation

David Marcil, p-adic L-functions for P-ordinary families on unitary groups

David Marcil, On P-ordinary Hida theory for unitary groups

Seminars

Spring 2021 : p-adic Modular Forms and p-adic L-functions

Summer 2021 : Higher Hida Theory

Spring 2022 : p-adic Automorphic Forms on Shimura Varieties

Spring 2023 : Eigenvarieties, families of Galois representations and p-adic L-functions

Teaching

Spring 2022 : College Algebra and Analytic Geometry (Pre-Calculus)

Summer 2023 : Calculus III

Undergraduate Research Experiences

D. Marcil, Modules supersinguliers et valeurs speciales de fonctions L sur corps quadratiques imaginaires , 2018. (PDF)
Description : This is my final report from my research with Henri Darmon during the summer of 2018, funded by an Undergraduate Science Research Award from the Natural Science and Engineering Research Council of Canada (NSERC USRA) held at McGill University.

D. Marcil, Resolution of singularities on Elkies' models of towers of modular curves , 2017. (PDF)
Description : This is my final report from my research with Eyal Goren and Jan Vonk during the summer of 2017, funded by an Science Undergraduate Research Award (SURA) held at McGill University.