David Marcil

Picture of me

One of the rare time I dressed nicely.

Email : dmarcil [at] uoregon.edu (CV)

I am currently a Paul Olum Postdoctoral Scholar at the University of Oregon. My mentor is Ellen Eischen. Previously, I completed my Ph.D. in Mathematics at Columbia University under the supervision of Michael Harris.

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

Publications

ORCID iD icon https://orcid.org/0000-0001-6667-0320

Constructing vector-valued automorphic forms on unitary groups, Documenta Mathematica 31, no. 6, pp. 1445-1481, 2026.
https://doi.org/10.4171/DM/1065
  With Thomas L. Browning, Pavel Čoupek, Ellen Eischen, Claire Frechette, Serin Hong, and Si Ying Lee.

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

Preprints

September 2024. p-adic L-functions for P-ordinary Hida families on unitary groups, arxiv:2409.03783 (PDF)
  This paper contains and refines the content of both arxiv:2310.09110 and arXiv:2311.05466 below

November 2023. p-adic zeta integrals on unitary groups via Bushnell-Kutzko types, arxiv:2311.05466 (PDF)

October 2023. Bushnell-Kutzko types for P-ordinary automorphic representations on unitary groups, arxiv:2310.09110 (PDF)

Teaching

Winter 2027 : Calculus I (MATH 251Z) at the University of Oregon
Fall 2026 : Calculus II (MATH 252Z) at the University of Oregon
Winter 2026 : Calculus I (MATH 251Z) and Elements of Discrete Matematics I (MATH 231) at the University of Oregon
Fall 2025 : Calculus I (MATH 251Z) and Calculus II (MATH 252Z) at the University of Oregon
Summer 2023 : Calculus III (MATH 1201) at Columbia University
Spring 2022 : College Algebra and Analytic Geometry (MATH 1003) at Columbia University

Seminars

Fall 2025 - present : Number Theory seminary at the University of Oregon. Co-organized with Ellen Eischen.
Spring 2023 : Eigenvarieties, families of Galois representations and p-adic L-functions
Spring 2022 : p-adic Automorphic Forms on Shimura Varieties
Summer 2021 : Higher Hida Theory
Spring 2021 : p-adic Modular Forms and p-adic L-functions

Invited Research Talks

November 2026. Lousiana State University. Bayou Arithmetic Research Day (BARD 8).

October 2026. University of Minnesoty, Duluth. AMS Fall Eastern Sectional Meeting - Special Session on Siegel Modular Forms and Automorphic Representations.

May 2026. Centre International de Rencontres Mathematiques. Perfection in Iwasaw Theory workshop.

April 2026. University of Utah. Mini-course on p-adic L-functions.

January 2026. Washington DC. AMS Joint Mathematical Meeting - AIM Special Session on Arithmetic Geometry of Shimura Varieties.

November 2024. University of Michigan. Group, Lie, and Number Theory seminar.

November 2024. University of California, Santa Barbara. Seminar on Geometry and Arithmetic.

November 2024. University of Utah. Representation Theory / Number Theory Seminar.

October 2024. Princeton University. PU/IAS Number Theory seminar.

October 2024. Massachusetts Institute of Technology. MIT Number Theory seminar.

October 2024. University of Albany. AMS Fall Eastern Sectional Meeting - Special Session on Recent Developments in Automorphic Formss and Representation Theory.

October 2024. Universite Laval. Quebec-Maine Number Theory conference.

April 2024. Purdue University. Automorphic Forms and Representation Theory Seminar.

February 2024. Johns Hopkins University. Junior Number Theory Days.

December 2023. Princeton University. Monodromy and Its Applications (Pre-workshop for Junior Researchers).

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.