Frank Calegari

发表

GLOBALLY REALIZABLE COMPONENTS OF LOCAL DEFORMATION RINGS

M. Emerton, Frank Calegari, Toby Gee, 2018, Journal of the Institute of Mathematics of Jussieu.

Modularity lifting beyond the Taylor–Wiles method

Frank Calegari, D. Geraghty, 2012, 1207.4224.

0 Ju n 20 04 Eisenstein Deformation Rings ∗

Frank Calegari, 2008 .

Eisenstein deformation rings

Frank Calegari, 2004, Compositio Mathematica.

Semistable abelian varieties over Z[1/6] and Z[1/10]

Frank Calegari, 2001, math/0103240.

PSEUDO-REPRESENTATIONS OF WEIGHT ONE

Frank Calegari, 2016 .

A counterexample to the Gouvêa–Mazur conjecture

Frank Calegari, Kevin Buzzard, 2003, math/0311361.

Discontinuous Groups and Automorphic Forms

W. Li, Frank Calegari, O. Atkin, 2017 .

Conjectures about Discriminants of Hecke Algebras of Prime Level

W. Stein, Frank Calegari, 2004, ANTS.

CONGRUENCES BETWEEN MODULAR FORMS

Frank Calegari, 2013 .

N T ] 2 0 N ov 2 00 3 Slopes of overconvergent 2-adic modular forms

Frank Calegari, Kevin Buzzard, 2008 .

Slopes of overconvergent 2-adic modular forms

Frank Calegari, Kevin Buzzard, 2003, Compositio Mathematica.

A counterexample to the Gouvêa–Mazur conjecture

Frank Calegari, Kevin Buzzard, 2003, math/0311361.

Elliptic curves of odd modular degree

M. Emerton, Frank Calegari, 2005, math/0503359.

Almost rational torsion points on semistable elliptic curves

Frank Calegari, 2003, math/0311366.

Mod p representations on elliptic curves

Frank Calegari, 2004, math/0406244.

Mod-$p$ cohomology growth in $p$-adic analytic towers of 3-manifolds

M. Emerton, Frank Calegari, 2011 .

HAO (BILLY) LEE, DISCUSSED WITH MATTHEW EMERTON AND FRANK CALEGARI

Frank Calegari, 2019 .

Automorphic forms and rational homology 3--spheres

N. Dunfield, Frank Calegari, 2005, math/0508271.

Bloch groups, algebraic $K$-theory, units, and Nahm's Conjecture

S. Garoufalidis, D. Zagier, Frank Calegari, 2017, Annales scientifiques de l'École Normale Supérieure.

Pseudorepresentations of weight one are unramified

Frank Calegari, Joel Specter, 2019, Algebra & Number Theory.

Singular and Supersingular Moduli

B. Gross, M. Villarino, Frank Calegari, 2003 .

Homological stability for completed homology

M. Emerton, Frank Calegari, 2016 .

The Stable Homology of Congruence Subgroups

Frank Calegari, 2013, 1311.5190.

Non-abelian Fundamental Groups and Iwasawa Theory: Completed cohomology – a survey

M. Emerton, Frank Calegari, 2011 .

A torsion Jacquet--Langlands correspondence

Akshay Venkatesh, Frank Calegari, 2012, 1212.3847.

Reciprocity in the Langlands program since Fermat's Last Theorem

Frank Calegari, Frank Calegari, 2021, 2109.14145.

Potential automorphy over CM fields

P. Scholze, J. Thorne, Richard Taylor, 2018, Annals of Mathematics.

Hecke Operators on Stable Cohomology

M. Emerton, Frank Calegari, 2013, 1311.5183.

Explicit Serre weights for two-dimensional Galois representations

M. Emerton, Frank Calegari, Toby Gee, 2016, Compositio Mathematica.

Algebra & Number Theory

P. Allen, Frank Calegari, 2014 .

Irreducibility of automorphic Galois representations of GL(n), n at most 5

Frank Calegari, Toby Gee, 2011, 1104.4827.

Abelian surfaces over totally real fields are potentially modular

Frank Calegari, George Boxer, Vincent Pilloni, 2018, Publications mathématiques de l'IHÉS.

GALOIS REPRESENTATIONS AND THE FONTAINE – MAZUR CONJECTURE

Frank Calegari, 2011 .

Even Galois representations and the Fontaine–Mazur conjecture

Frank Calegari, 2009, 0907.3427.

The evolution of the endowment effect

Justin P. Bruner, Frank Calegari, Toby Handfield, 2020 .

Minimal modularity lifting for nonregular symplectic representations

Frank Calegari, D. Geraghty, 2019, 1907.08691.

The Unbounded Denominators Conjecture

Frank Calegari, Yunqing Tang, V. Dimitrov, 2021, 2109.09040.

Vanishing Fourier coefficients of Hecke eigenforms

Frank Calegari, Naser Talebizadeh Sardari, 2020, Mathematische Annalen.

Non-minimal modularity lifting in weight one

Frank Calegari, 2015, Journal für die reine und angewandte Mathematik (Crelles Journal).

Bounds for multiplicities of unitary representations of cohomological type in spaces of cusp forms

M. Emerton, Frank Calegari, 2007, 0704.0662.

The Artin conjecture for some $$S_5$$-extensions

Frank Calegari, 2011, 1112.1152.

COMPATIBLE SYSTEMS OF GALOIS REPRESENTATIONS ASSOCIATED TO THE EXCEPTIONAL GROUP $E_{6}$

M. Emerton, Frank Calegari, Stefan Patrikis, 2018, Forum of Mathematics, Sigma.

Abelian surfaces with fixed 3-torsion

Frank Calegari, S. Chidambaram, D. Roberts, 2020, Open Book Series.

Nearly ordinary Galois deformations over arbitrary number fields

B. Mazur, Frank Calegari, 2007, Journal of the Institute of Mathematics of Jussieu.

Rationality of twists of the Siegel modular variety of genus 2 and level 3

Frank Calegari, Shiva Chidambaram, Frank Calegari, 2020, 2009.00194.

Rationality of twists of $\mathcal{A}_2(3)$

Frank Calegari, S. Chidambaram, 2020 .

Modularity Lifting Theorems beyond the Taylor-Wiles Method. II

Frank Calegari, D. Geraghty, 2012, 1209.6293.

Abelian spiders and real cyclotomic integers

Frank Calegari, Z. Guo, 2018 .

Abelian Spiders

Frank Calegari, Z. Guo, 2015, 1502.00035.

Cyclotomic Integers, Fusion Categories, and Subfactors

Frank Calegari, Noah Snyder, S. Morrison, 2010, 1004.0665.

Fusion Categories , and Subfactors

Frank Calegari, Noah Snyder, S. Morrison, 2010 .

The Unbounded Denominators Conjecture

Frank Calegari, Yunqing Tang, V. Dimitrov, 2021, 2109.09040.