Publications

ORCID: 0000-0002-3364-1547
Google scholar: Henrik Gustafsson

Project color coding

Fourier coefficients of automorphic forms in small automorphic representations

Whittaker functions for p-adic groups and solvable lattice models

Books

Eisenstein series and automorphic representations (2018)
Philipp Fleig, Henrik P. A. Gustafsson, Axel Kleinschmidt, Daniel Persson
Cambridge University Press, Cambridge Studies in Advanced Mathematics (2018)
ISBN 9781107189928
arXiv:1511.04265 [math.NT]


Papers

Metaplectic Iwahori Whittaker functions and supersymmetric lattice models (2020)
Ben Brubaker, Valentin Buciumas, Daniel Bump, Henrik P. A. Gustafsson
arXiv:2012.15778 [math.RT]

Eulerianity of Fourier coefficients of automorphic forms (2020)
Dmitry Gourevitch, Henrik P. A. Gustafsson, Axel Kleinschmidt, Daniel Persson, Siddhartha Sahi
AMS : Representation Theory (accepted, 2021)
arXiv:2004.14244 [math.NT]

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups (2019)
Dmitry Gourevitch, Henrik P. A. Gustafsson, Axel Kleinschmidt, Daniel Persson, Siddhartha Sahi
Canadian Journal of Mathematics (FirstView Sep, 2020) pp. 1-48
arXiv:1908.08296 [math.NT]
Supersedes and extends the second half of arXiv:1811.05966v1 which was split into two parts: this paper and arXiv:1811.05966 (v2 and later) under a new title.

Colored vertex models and Iwahori Whittaker functions (2019)
Ben Brubaker, Valentin Buciumas, Daniel Bump, Henrik P. A. Gustafsson
arXiv:1906.04140 [math.RT]
Updated on May 24, 2020 to include parahoric Whittaker functions and lattice models

Colored five-vertex models and Demazure atoms (2019)
Ben Brubaker, Valentin Buciumas, Daniel Bump, Henrik P. A. Gustafsson
Journal of Combinatorial Theory, Series A 178 (Feb, 2021) 105354
arXiv:1902.01795 [math.CO]

A reduction principle for Fourier coefficients of automorphic forms (2018)
Dmitry Gourevitch, Henrik P. A. Gustafsson, Axel Kleinschmidt, Daniel Persson, Siddhartha Sahi
arXiv:1811.05966 [math.NT]
Previous title: Fourier coefficients and small automorphic representations
The paper was in August 2019 split up into two parts with an extension of the second part appearing as arXiv:1908.08296

Vertex operators, solvable lattice models and metaplectic Whittaker functions (2018)
Ben Brubaker, Valentin Buciumas, Daniel Bump, Henrik P. A. Gustafsson
Communications in Mathematical Physics 380 (Dec, 2020), 535–579
arXiv:1806.07776 [math.RT]

Fourier coefficients attached to small automorphic representations of SLn(A) (2018)
Olof Ahlén, Henrik P. A. Gustafsson, Axel Kleinschmidt, Baiying Liu, Daniel Persson
Journal of Number Theory 192 (Nov, 2018) 80–142
arXiv:1707.08937 [math.RT]

Small automorphic representations and degenerate Whittaker vectors (2016)
Henrik P. A. Gustafsson, Axel Kleinschmidt, Daniel Persson
Journal of Number Theory 166 (Sep, 2016) 344–399
arXiv:1412.5625 [math.NT]


Theses

Automorphic forms and string theory: Small automorphic representations and non-perturbative effects (2017)
Author: Henrik P. A. Gustafsson. Advisor: Daniel Persson (Chalmers)
PhD Thesis, Chalmers University of Technology CPL:250854

Automorphic string amplitudes (2015)
Author: Henrik P. A. Gustafsson. Advisor: Daniel Persson (Chalmers)
Licentiate Thesis, Chalmers University of Technology CPL:226156

Eisenstein Series and Instantons in String Theory (2013)
Author: Henrik P. A. Gustafsson. Advisor: Daniel Persson (Chalmers)
Master Thesis, Chalmers University of Technology CPL:178059

Minimal Surfaces for Scattering Amplitudes and the Harmonic Oscillator (2012)
Author: Henrik P. A. Gustafsson. Advisor: Pedro Vieira (Perimeter Institute)
Master Thesis/Essay, Perimeter Institute and University of Waterloo.