Matthew Emerton
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Australian mathematician
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Matthew Emertonmathematics Degrees
Mathematics
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#5841
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Algebraic Geometry
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#128
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Measure Theory
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Mathematics
Matthew Emerton's Degrees
- PhD Mathematics University of Chicago
Why Is Matthew Emerton Influential?
(Suggest an Edit or Addition)According to Wikipedia, Matthew James Emerton is an Australian mathematician who is a professor of mathematics at the University of Chicago. His research interests include number theory, especially the theory of automorphic forms.
Matthew Emerton's Published Works
Published Works
- On the interpolation of systems of eigenvalues attached to automorphic Hecke eigenforms (2006) (214)
- Locally analytic vectors in representations of locally p-adic analytic groups (2004) (157)
- Variation of Iwasawa invariants in Hida families (2004) (145)
- ORDINARY PARTS OF ADMISSIBLE REPRESENTATIONS OF p-ADIC REDUCTIVE GROUPS I. DEFINITION AND FIRST PROPERTIES (2007) (105)
- Jacquet modules of locally analytic representations of p-adic reductive groups I. Construction and first properties (2006) (103)
- ORDINARY PARTS OF ADMISSIBLE REPRESENTATIONS OF p-ADIC REDUCTIVE GROUPS II. DERIVED FUNCTORS (2010) (101)
- Patching and the p-adic local Langlands correspondence (2013) (101)
- A Local-Global Compatibility Conjecture in the p-adic Langlands Programme for GL 2/Q (2006) (100)
- A geometric perspective on the Breuil–Mézard conjecture (2011) (84)
- $p$-adic $L$-functions and unitary completions of representations of $p$-adic reductive groups (2005) (75)
- The local Langlands correspondence for GL_n in families (2011) (70)
- The Riemann-Hilbert correspondence for unit F-crystals (2004) (65)
- On the ramification of Hecke algebras at Eisenstein primes (2003) (55)
- Lattices in the cohomology of Shimura curves (2013) (55)
- Bounds for multiplicities of unitary representations of cohomological type in spaces of cusp forms (2007) (53)
- Supersingular elliptic curves, theta series and weight two modular forms (2002) (43)
- Weight cycling and Serre-type conjectures for unitary groups (2011) (43)
- Optimal quotients of modular Jacobians (2003) (39)
- Mod-$p$ cohomology growth in $p$-adic analytic towers of 3-manifolds (2011) (33)
- Moduli Stacks of Étale (ϕ, Γ)-Modules and the Existence of Crystalline Lifts (2022) (29)
- Non-abelian Fundamental Groups and Iwasawa Theory: Completed cohomology – a survey (2011) (27)
- “Scheme-theoretic images” of morphisms of stacks (2015) (24)
- Completed cohomology and the p-adic Langlands program (2014) (23)
- Unit L-functions and a conjecture of Katz (2001) (23)
- A p-ADIC VARIATIONAL HODGE CONJECTURE AND MODULAR FORMS WITH COMPLEX MULTIPLICATION (2004) (20)
- A geometric Jacquet functor (2003) (20)
- A new proof of a theorem of Hida (1999) (17)
- p-ADIC FAMILIES OF MODULAR FORMS [ after Hida , Coleman , and Mazur ] (2009) (16)
- Draft: May 19, 2008 ON A CLASS OF COHERENT RINGS, WITH APPLICATIONS TO THE SMOOTH REPRESENTATION THEORY OF GL2(Qp) IN CHARACTERISTIC p (2008) (16)
- p-adic Hodge-theoretic properties of \'etale cohomology with mod p coefficients, and the cohomology of Shimura varieties (2012) (15)
- On the density of supercuspidal points of fixed regular weight in local deformation rings and global Hecke algebras (2018) (15)
- Elliptic curves of odd modular degree (2005) (15)
- The Eisenstein ideal in Hida''s ordinary Hecke algebra (1999) (15)
- L -functions and Galois Representations: Locally analytic representation theory of p -adic reductive groups: a summary of some recent developments (2007) (15)
- Patching and the $p$ -adic Langlands program for $\operatorname{GL}_{2}(\mathbb{Q}_{p})$ (2016) (12)
- THE HECKE ALGEBRA Tk HAS LARGE INDEX (2003) (11)
- AN OVERVIEW OF A THEOREM OF FLACH (2003) (11)
- Galois representations and torsion in the coherent cohomology of Hilbert modular varieties (2013) (11)
- Homological stability for completed homology (2016) (10)
- An introduction to the categorical p-adic Langlands program (2022) (10)
- Moduli stacks of \'etale (phi,Gamma)-modules and the existence of crystalline lifts (2019) (9)
- UNRAMIFIEDNESS OF GALOIS REPRESENTATIONS ARISING FROM HILBERT MODULAR SURFACES (2014) (9)
- COMPATIBLE SYSTEMS OF GALOIS REPRESENTATIONS ASSOCIATED TO THE EXCEPTIONAL GROUP $E_{6}$ (2018) (7)
- Moduli stacks of two-dimensional Galois representations (2019) (7)
- Explicit Serre weights for two-dimensional Galois representations (2016) (7)
- The Hecke Algebra $\mathbf T_k$ has Large Index (2004) (6)
- Dimension theory and components of algebraic stacks (2017) (6)
- GLOBALLY REALIZABLE COMPONENTS OF LOCAL DEFORMATION RINGS (2018) (5)
- On the density of supercuspidal points of fixed weight in local deformation rings and global Hecke algebras (2018) (5)
- 1 Completed cohomology – a survey (2011) (5)
- ON NON-ABELIAN LUBIN-TATE THEORY AND ANALYTIC COHOMOLOGY (2014) (5)
- ON THE MODIFIED MOD p LOCAL LANGLANDS CORRESPONDENCE FOR GL2(Q`) (2012) (4)
- EXTENSIONS OF CRYSTALLINE REPRESENTATIONS (3)
- PATCHING AND THE p-ADIC LOCAL LANGLANDS (2014) (3)
- Langlands Reciprocity: L-Functions, Automorphic Forms, and Diophantine Equations (2021) (2)
- The geometric Breuil-M\'ezard conjecture for two-dimensional potentially Barsotti-Tate Galois representations (2022) (2)
- Components of moduli stacks of two-dimensional Galois representations (2022) (2)
- Transplantation of kidneys from a donor with microscopic polyarteritis: treatment and outcome in two recipients. (1994) (2)
- Serre weights for two-dimensional Galois representations (2017) (1)
- Moduli stacks of (phi,Gamma)-modules: a survey (2020) (1)
- Localization of smooth p-power torsion representations of GL_2(Q_p) (2022) (1)
- On effaceability of certain $\delta$-functors (2007) (1)
- Hecke Operators on Stable Cohomology (2013) (1)
- Explicit reciprocity laws and Iwasawa theory for modular forms (2022) (1)
- Local geometry of moduli stacks of two-dimensional Galois representations (2022) (0)
- Draft: March 25, 2012 DEFORMATIONS OF GALOIS REPRESENTATIONS AND APPLICATIONS — TALK AT THE IHP CONFERENCE ON THE OCCASION OF THE GALOIS BICENTENNIAL (2015) (0)
- Draft: January 2, 2017 INTRODUCTION TO ALGEBRAIC GEOMETRY (2017) (0)
- BONN LECTURES (2019) (0)
- Summary of Some Recent Developments (2007) (0)
- Draft: March 9, 2014 INTRODUCTION TO ALGEBRAIC GEOMETRY (2014) (0)
- The p-adic Langlands program for non-split groups (2012) (0)
- Summary of Some Recent Developments (2007) (0)
- DESCENDING PROPERTIES OF MORPHISMS (2004) (0)
- Lattices in the cohomology of Shimura curves (2014) (0)
- INSTRUCTIONAL CONFERENCE ON REPRESENTATION THEORY AND ARITHMETIC NOTES TAKEN BY MIKE WOODBURY (2008) (0)
- Analysis, Spectra, and Number Theory: A Conference in Honor of Peter Sarnak’s 60th Birthday December 15-19, 2014 (2015) (0)
- N T ] 1 7 M ar 2 00 5 Elliptic Curves of Odd Modular Degree (2005) (0)
- CLASSICAL MODULAR FORMS AS AUTOMORPHIC FORMS (2018) (0)
- Homological stability for completed homology (2015) (0)
- JACOBSON RINGS (2010) (0)
- THE GEOMETRY OF ALGEBRAIC STACKS (2019) (0)
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