Frank Calegari | Academic Influence

Frank Calegari's AcademicInfluence.com Rankings

Frank Calegari

Mathematics

#5140

World Rank

#7261

Historical Rank

#1713

USA Rank

Number Theory

#281

World Rank

#352

Historical Rank

#49

USA Rank

Measure Theory

#4847

World Rank

#5678

Historical Rank

#1354

USA Rank

mathematics Degrees

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Mathematics

Frank Calegari's Degrees

PhD Mathematics University of California, Berkeley

Why Is Frank Calegari Influential?

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According to Wikipedia, Francesco Damien "Frank" Calegari is a professor of mathematics at the University of Chicago working in number theory and the Langlands program. Career Calegari won a bronze medal and a silver medal at the International Mathematical Olympiad while representing Australia in 1992 and 1993 respectively. Calegari received his PhD in mathematics from the University of California, Berkeley in 2002 under the supervision of Ken Ribet.

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Frank Calegari's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Modularity lifting beyond the Taylor–Wiles method (2012) (89)
Nearly ordinary Galois deformations over arbitrary number fields (2007) (59)
On the ramification of Hecke algebras at Eisenstein primes (2003) (55)
Cyclotomic Integers, Fusion Categories, and Subfactors (2010) (54)
Bounds for multiplicities of unitary representations of cohomological type in spaces of cusp forms (2007) (53)
Abelian surfaces over totally real fields are potentially modular (2018) (53)
Even Galois representations and the Fontaine–Mazur conjecture (2009) (52)
A torsion Jacquet--Langlands correspondence (2012) (46)
Automorphic forms and rational homology 3--spheres (2005) (45)
Potential automorphy over CM fields (2018) (39)
Irreducibility of automorphic Galois representations of GL(n), n at most 5 (2011) (36)
Slopes of overconvergent 2-adic modular forms (2003) (36)
CONGRUENCES BETWEEN MODULAR FORMS (2013) (35)
Mod-$p$ cohomology growth in $p$-adic analytic towers of 3-manifolds (2011) (33)
A counterexample to the Gouvêa–Mazur conjecture (2003) (33)
The 2-adic Eigencurve is Proper (2005) (28)
Non-abelian Fundamental Groups and Iwasawa Theory: Completed cohomology – a survey (2011) (27)
The Artin conjecture for some $$S_5$$-extensions (2011) (18)
Bloch groups, algebraic $K$-theory, units, and Nahm's Conjecture (2017) (17)
The Stable Homology of Congruence Subgroups (2013) (16)
Elliptic curves of odd modular degree (2005) (15)
Minimal modularity lifting for nonregular symplectic representations (2019) (13)
Irrationality of certain p-adic periods for small p (2004) (13)
Non-minimal modularity lifting in weight one (2015) (11)
The Coleman–Mazur eigencurve is proper at integral weights (2008) (11)
Counting Perron numbers by absolute value (2014) (11)
THE HECKE ALGEBRA Tk HAS LARGE INDEX (2003) (11)
Homological stability for completed homology (2016) (10)
Conjectures about Discriminants of Hecke Algebras of Prime Level (2004) (10)
The evolution of the endowment effect (2020) (9)
Modularity Lifting Theorems beyond the Taylor-Wiles Method. II (2012) (9)
Eisenstein deformation rings (2004) (8)
Abelian surfaces with fixed 3-torsion (2020) (7)
Pseudorepresentations of weight one are unramified (2019) (7)
Finiteness of unramified deformation rings (2014) (7)
Explicit Serre weights for two-dimensional Galois representations (2016) (7)
COMPATIBLE SYSTEMS OF GALOIS REPRESENTATIONS ASSOCIATED TO THE EXCEPTIONAL GROUP $E_{6}$ (2018) (7)
Bloch--Kato conjectures for automorphic motives (2019) (7)
Almost rational torsion points on semistable elliptic curves (2003) (6)
The Hecke Algebra $\mathbf T_k$ has Large Index (2004) (6)
The Unbounded Denominators Conjecture (2021) (6)
Vanishing Fourier coefficients of Hecke eigenforms (2020) (5)
1 Completed cohomology – a survey (2011) (5)
Some modular abelian surfaces (2019) (5)
GLOBALLY REALIZABLE COMPONENTS OF LOCAL DEFORMATION RINGS (2018) (5)
Semistable abelian Varieties over Q (2003) (4)
Mod p representations on elliptic curves (2004) (4)
PSEUDO-REPRESENTATIONS OF WEIGHT ONE (2016) (4)
Reciprocity in the Langlands program since Fermat's Last Theorem (2021) (3)
Semistable abelian varieties over ℚ (2004) (3)
Fusion Categories , and Subfactors (2010) (2)
Abelian Spiders (2015) (2)
Motives and $L$-functions (2018) (2)
Abelian spiders and real cyclotomic integers (2018) (2)
Rationality of twists of the Siegel modular variety of genus 2 and level 3 (2020) (2)
Discontinuous Groups and Automorphic Forms (2017) (1)
Serre weights for two-dimensional Galois representations (2017) (1)
Semistable abelian varieties over Z[1/6] and Z[1/10] (2001) (1)
N T ] 1 7 M ar 2 00 5 The 2-adic Eigencurve is Proper (2008) (1)
GALOIS REPRESENTATIONS AND THE FONTAINE – MAZUR CONJECTURE (2011) (1)
Hecke Operators on Stable Cohomology (2013) (1)
Correction to: Modularity lifting beyond the Taylor–Wiles method (2021) (0)
INSTRUCTIONAL CONFERENCE ON REPRESENTATION THEORY AND ARITHMETIC NOTES TAKEN BY MIKE WOODBURY (2008) (0)
Correction to: Modularity lifting beyond the Taylor–Wiles method (2021) (0)
HAO (BILLY) LEE, DISCUSSED WITH MATTHEW EMERTON AND FRANK CALEGARI (2019) (0)
Modularity lifting beyond the Taylor–Wiles method (2017) (0)
Singular and Supersingular Moduli (2003) (0)
Book Review: A first course in modular forms (2006) (0)
N T ] 1 7 M ar 2 00 5 Elliptic Curves of Odd Modular Degree (2005) (0)
The eigencurve is proper at integral weights (2007) (0)
Galois Cohomology and Applications (2017) (0)
Corrigendum to: Irreducibility of automorphic Galois representations of $\mathrm{GL}(n)$, $n$ at most $5$ (2017) (0)
N T ] 2 0 N ov 2 00 3 A counterexample to the Gouvêa – Mazur conjecture (2008) (0)
N T ] 2 0 N ov 2 00 3 Slopes of overconvergent 2-adic modular forms (2008) (0)
Rationality of twists of $\mathcal{A}_2(3)$ (2020) (0)
Arbeitsgemeinschaft: Derived Galois Deformation Rings and Cohomology of Arithmetic Groups (2022) (0)
Homological stability for completed homology (2015) (0)
Semistable modularity lifting over imaginary quadratic fields (2019) (0)
0 Ju n 20 04 Eisenstein Deformation Rings ∗ (2008) (0)
Algebra & Number Theory (2014) (0)
Non-minimal modularity lifting theorems for imaginary quadratic fields (2015) (0)
EVEN GALOIS REPRESENTATIONS (2010) (0)
1 1 Ju n 20 04 Mod p representations on Elliptic Curves (2008) (0)

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