Toby Gee
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British mathematician
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Mathematics
Why Is Toby Gee Influential?
(Suggest an Edit or Addition)According to Wikipedia, Toby Stephen Gee is a British mathematician working in number theory and arithmetic aspects of the Langlands Program. He specialises in algebraic number theory. Gee was awarded the Whitehead Prize in 2012, the Leverhulme Prize in 2012, and was elected as a Fellow of the American Mathematical Society in 2014.
Toby Gee's Published Works
Published Works
- Potential automorphy and change of weight (2010) (281)
- Automorphic lifts of prescribed types (2008) (111)
- Automorphic Forms and Galois Representations: The conjectural connections between automorphic representations and Galois representations (2010) (106)
- Patching and the p-adic local Langlands correspondence (2013) (101)
- THE BREUIL–MÉZARD CONJECTURE FOR POTENTIALLY BARSOTTI–TATE REPRESENTATIONS (2012) (97)
- The Sato-Tate conjecture for Hilbert modular forms (2009) (89)
- A geometric perspective on the Breuil–Mézard conjecture (2011) (84)
- On the weights of mod p Hilbert modular forms (2006) (61)
- The buzzard-diamond-jarvis conjecture for unitary groups (2012) (60)
- Lattices in the cohomology of Shimura curves (2013) (55)
- Serre weights for rank two unitary groups (2011) (53)
- Abelian surfaces over totally real fields are potentially modular (2018) (53)
- COMPANION FORMS FOR UNITARY AND SYMPLECTIC GROUPS (2010) (51)
- Congruences between Hilbert modular forms: constructing ordinary lifts (2010) (50)
- General Serre weight conjectures (2015) (48)
- A Modularity Lifting Theorem for Weight Two Hilbert Modular Forms (2006) (47)
- Explicit Reduction Modulo p of Certain Two-Dimensional Crystalline Representations (2009) (47)
- Weight cycling and Serre-type conjectures for unitary groups (2011) (43)
- Local-global compatibility for $l=p$, II (2011) (43)
- Local-global compatibility for l=p, I (2011) (41)
- Potential automorphy over CM fields (2018) (39)
- Irreducibility of automorphic Galois representations of GL(n), n at most 5 (2011) (36)
- Arthur's multiplicity formula for GSp$_4$ and restriction to Sp$_4$ (2018) (36)
- The weight part of Serre's conjecture for GL(2) (2013) (34)
- G-valued local deformation rings and global lifts (2017) (33)
- Moduli Stacks of Étale (ϕ, Γ)-Modules and the Existence of Crystalline Lifts (2022) (29)
- PATCHING AND THE COMPLETED HOMOLOGY OF LOCALLY SYMMETRIC SPACES (2016) (27)
- Serre weights for mod p Hilbert modular forms: the totally ramified case (2009) (26)
- “Scheme-theoretic images” of morphisms of stacks (2015) (24)
- Potentially Crystalline Lifts of Certain Prescribed Types (2015) (22)
- Congruences between Hilbert modular forms: Constructing ordinary lifts, II (2012) (22)
- Companion forms over totally real fields (2004) (21)
- Explicit reduction modulo p of certain 2‐dimensional crystalline representations, II (2012) (19)
- Serre Weights for U(n) (2014) (18)
- Crystalline extensions and the weight part of Serre’s conjecture (2011) (18)
- Slopes of Modular Forms (2015) (18)
- Companion forms over totally real fields, II (2005) (17)
- THE WEIGHT PART OF SERRE’S CONJECTURE FOR $\text{GL}(2)$ (2013) (17)
- p-adic Hodge-theoretic properties of \'etale cohomology with mod p coefficients, and the cohomology of Shimura varieties (2012) (15)
- Serre weights for quaternion algebras (2009) (14)
- Patching and the $p$ -adic Langlands program for $\operatorname{GL}_{2}(\mathbb{Q}_{p})$ (2016) (12)
- Arthur’s multiplicity formula for $\protect \mathbf{GSp}_4$ and restriction to $\protect \mathbf{Sp}_4$ (2019) (12)
- Erratum - a modularity lifting theorem for weight two Hilbert modular forms (2009) (11)
- An introduction to the categorical p-adic Langlands program (2022) (10)
- The Breuil--Mezard conjecture for quaternion algebras (2013) (9)
- MODULARITY LIFTING THEOREMS-NOTES FOR ARIZONA WINTER SCHOOL-DRAFT VERSION (2013) (9)
- Moduli stacks of \'etale (phi,Gamma)-modules and the existence of crystalline lifts (2019) (9)
- The Sato-Tate conjecture for modular forms of weight 3 (2009) (8)
- Explicit reduction modulo $p$ of certain crystalline representations (2008) (8)
- BONN LECTURES (2019) (7)
- Moduli stacks of two-dimensional Galois representations (2019) (7)
- Explicit Serre weights for two-dimensional Galois representations (2016) (7)
- Dimension theory and components of algebraic stacks (2017) (6)
- Automorphy lifting for small l (2012) (6)
- Companion forms in parallel weight one (2012) (6)
- GLOBALLY REALIZABLE COMPONENTS OF LOCAL DEFORMATION RINGS (2018) (5)
- Serre weights for U ( n ) {U(n)} (2018) (4)
- PATCHING AND THE p-ADIC LOCAL LANGLANDS (2014) (3)
- Components of moduli stacks of two-dimensional Galois representations (2022) (2)
- The geometric Breuil-M\'ezard conjecture for two-dimensional potentially Barsotti-Tate Galois representations (2022) (2)
- Moduli stacks of (phi,Gamma)-modules: a survey (2020) (1)
- Serre weights for two-dimensional Galois representations (2017) (1)
- Localization of smooth p-power torsion representations of GL_2(Q_p) (2022) (1)
- Lattices in the cohomology of Shimura curves (2014) (0)
- Corrigendum to: Irreducibility of automorphic Galois representations of $\mathrm{GL}(n)$, $n$ at most $5$ (2017) (0)
- Serre weights for rank two unitary groups (2013) (0)
- Rational points on curves: a p-adic and computational perspective Monday (2012) (0)
- Modularity lifting theorems (2022) (0)
- Local geometry of moduli stacks of two-dimensional Galois representations (2022) (0)
- THE MILNOR CONJECTURE AND THE MOTIVIC BLOCH-KATO CONJECTURE (2018) (0)
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