Andrew Graham

I am currently a postdoctoral research associate at the University of Oxford. Previously I was a postdoc at MPIM Bonn, and at Université Paris-Saclay in the research group of Vincent Pilloni. I completed my PhD in September 2021 at the London School of Geometry and Number Theory (Imperial College London) under the supervision of Sarah Zerbes.

I am interested in the geometry and cohomology of Shimura varieties and applications to Euler systems and Iwasawa theory.

E-mail: andrew [dot] graham [at] maths [dot] ox [dot] ac [dot] uk

Publications/Preprints

Nearly higher Coleman theory and p-adic L-functions for GSp(4) x GL(2) and GSp(4) x GL(2) x GL(2)
(joint with R. Rockwood) submitted (arXiv)
Unitary Friedberg--Jacquet periods and anticyclotomic p-adic L-functions
submitted (arXiv, pdf)
p-adic interpolation of Gauss--Manin connections on nearly overconvergent modular forms and p-adic L-functions
(joint with V. Pilloni and J. Rodrigues Jacinto) to appear in Compositio Mathematica (arXiv)
On p-refined Friedberg--Jacquet integrals and the classical symplectic locus in the GL(2n) eigenvariety
(joint with D. Barrera Salazar and C. Williams) Res. Number Theory 11 (2025), no. 2, Paper No. 51 (journal, arXiv)
On the GL(2n) eigenvariety: branching laws, Shalika families and p-adic L-functions
(joint with D. Barrera Salazar, M. Dimitrov, A. Jorza and C. Williams) to appear in J. Assoc. Math. Res. (arXiv)
On the p-adic interpolation of unitary Friedberg--Jacquet periods
Algebra & Number Theory 18 (2024), no. 6, 1117 - 1188 (journal, arXiv)
Anticyclotomic Euler systems for unitary groups
(joint with S.W.A. Shah) Proc. London Math. Soc. 127 (2023), 1577 - 1680 (journal, arXiv)
Bounding Selmer groups for the Rankin--Selberg convolution of Coleman families
(joint with D. Gulotta and Y. Xu) Canadian Jour. Math. 73 (2021), 805 - 853 (journal, arXiv)