Florian Herzig
Department of Mathematics University of Toronto
Curriculum vitae
Fall 2026
Research
Preprints
To be or not to be local Christophe Breuil , Yongquan Hu , Karol Kozioł , Stefano Morra , Benjamin Schraen , and Sug Woo Shin ), 84 pages.
Finite length for unramified GL2 Christophe Breuil , Yongquan Hu , Stefano Morra , and Benjamin Schraen ), 75 pages.
Publications
PDF files may differ slightly from published versions.
On the constituents of the mod p cohomology of Shimura curves Christophe Breuil , Yongquan Hu , Stefano Morra , and Benjamin Schraen ), 81 pages.
On the irreducibility of p-adic Banach principal series of p-adic reductive groups Noriyuki Abe ), 88 pages.
Multivariable $(\varphi,\mathcal O_K^\times)$-modules and local-global compatibility Christophe Breuil , Yongquan Hu , Stefano Morra , and Benjamin Schraen ).
Talk notes: Banff 2023 .
392 (2025), no. 2, 2709-2801.
Conjectures and results on modular representations of GLn K ) for a p -adic field K Christophe Breuil , Yongquan Hu , Stefano Morra , and Benjamin Schraen ).
Talk notes: Essen Spring School 2021 .
315 (2025), no. 1598, v+163pp.
On the irreducibility of p-adic Banach principal series of p-adic GL3 Noriyuki Abe ).
52 (2024), no. 2, 451-478 (special issue dedicated to Pham Huu Tiep's 60th birthday).
Gelfand-Kirillov
dimension and mod p cohomology for GL2 Christophe Breuil , Yongquan Hu , Stefano Morra , and Benjamin Schraen ); Talk notes: Essen Spring School 2021 .
234 (2023), no. 1, 1-128.
Inverse Satake isomorphism and change of weight Noriyuki Abe and Marie-France Vignéras ). 26 (2022), 264-324.
On the existence of admissible supersingular representations of p-adic reductive groups Karol Kozioł and Marie-France Vignéras and an appendix by Sug Woo Shin ). 8 (2020), e2, 73 pp.
Towards the finite slope part for GLn Christophe Breuil ).
General Serre weight conjectures Toby Gee and
David Savitt ).
20 (2018), no. 12, 2859-2949.
On mod p local-global compatibility for GL3 in the ordinary case Daniel Le and Stefano Morra ).
153 (2017), no. 11, 2215-2286.
Potentially crystalline lifts of certain prescribed types Toby Gee , Tong Liu , and David Savitt ).
22 (2017), 397-422.
A classification of irreducible admissible mod p representations of p-adic reductive groups Noriyuki Abe , Guy Henniart, and Marie-France Vignéras ).
30 (2017), no. 2, 495-559.
Adequate groups of low degree Robert Guralnick and Pham Huu Tiep ).
9 (2015), no. 1, 77-147.
Adequate groups and indecomposable modules Robert Guralnick and Pham Huu Tiep ).
19 (2017), no. 4, 1231-1291.
Ordinary representations of G (Q p ) and fundamental algebraic representations Christophe Breuil ).
164 (2015), no. 7, 1271-1352.
Weight cycling and Serre-type conjectures for unitary groups Matthew Emerton and Toby Gee ).
162 (2013), no. 9, 1649-1722. (Erratum. )
Adequate subgroups Robert Guralnick ,
Richard Taylor , and
Jack Thorne ).
On the automorphy of l-adic Galois representations with small residual image by Jack Thorne.
11 (2012), no. 4, 907-920.
The classification of irreducible admissible mod p representations of a p-adic GLn 186 (2011), no. 2, 373-434.
A Satake isomorphism in characteristic p. 147 (2011), no. 1, 263-283.
Conjecture de type de Serre et formes compagnons pour GSp4 Jacques Tilouine ).
676 (2013), 1-32.
The weight in a Serre-type conjecture for tame n-dimensional Galois representations. 149 (2009), no. 1, 37-116. (Typos. )
Thesis
Other Notes
Mod-p representations of p-adic groups Arizona Winter School 2025
Questions on mod p representations of reductive p -adic groups (with Noriyuki Abe , Guy Henniart, and Marie-France Vignéras ).Geometric methods in the mod p local Langlands correspondence held in June 2016 at the Centro di Ricerca Matematica Ennio de Giorgi in Pisa.
Linear algebraic groups p -modular representations of p -adic groups2 Q p IMS Lecture Notes Series, vol. 30 (2015) .
The mod p representation theory of p -adic groups
(Exercises )
Classification of irreducible mod p representations of a p-adic GLn Galois Trimester , Paris (Jan 4-Mar 27, 2010).
Serre-type conjecture for tame n-dimensional mod p Galois representations Serre-type conjectures, mod p cohomology, and representation theory of GLn Q p Matthew Emerton at the summer school
Représentations p -adiques des groupes p -adiques , Paris (July 7-12, 2008).
Smooth representations of p-adic reductive groups. Instructional Conference on Representation Theory and Arithmetic , Northwestern (May 5-9, 2008).