Colin J. Bushnell | Academic Influence

Colin J. Bushnell's AcademicInfluence.com Rankings

Colin J. Bushnell

Mathematics

#5143

World Rank

#7264

Historical Rank

Number Theory

#197

World Rank

#254

Historical Rank

Group Theory

#292

World Rank

#342

Historical Rank

Algebra

#656

World Rank

#865

Historical Rank

mathematics Degrees

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Mathematics

Colin J. Bushnell's Degrees

Masters Mathematics University of Oxford
Bachelors Mathematics University of Oxford

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Why Is Colin J. Bushnell Influential?

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According to Wikipedia, Colin John Bushnell was a British mathematician specialising in number theory and representation theory. He spent most of his career at King's College London, including a stint as the head of the School of Physical Sciences and Engineering, and made several contributions to the representation theory of reductive p-adic groupss and the local Langlands correspondence.

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Colin J. Bushnell'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

The Local Langlands Conjecture for Gl(2) (2006) (451)
The admissible dual of GL(N) via compact open subgroups (1993) (449)
Semisimple Types in GLn (1999) (111)
Local tame lifting for GL(N) I: Simple characters (1996) (110)
The Weil Representation (2006) (107)
The essentially tame local Langlands correspondence, I (2005) (94)
Representations of Reductive p‐Adic Groups: Localization of Hecke Algebras and Applications (2001) (77)
An Upper Bound on Conductors for Pairs (1997) (76)
Gauss Sums and p-adic Division Algebras (1983) (74)
Non‐Abelian Congruence Gauss Sums and p‐Adic Simple Algebras (1985) (73)
Hereditary orders, Gauss sums and supercuspidal representations of GLN. (1987) (67)
Zeta functions of arithmetic orders and Solomon's conjectures (1980) (54)
The essentially tame local Langlands correspondence, II: totally ramified representations (2005) (51)
Local Rankin-Selberg convolutions for _{}: Explicit conductor formula (1998) (50)
The essentially tame local Langlands correspondence, III: the general case (2010) (49)
The Admissible Dual of SL(N) II (1994) (43)
Generalized Whittaker models and the Bernstein center (2003) (40)
The essentially tame Jacquet-Langlands correspondence for inner forms of GL(n) (2011) (35)
Local Tame Lifting for GL(n) IV: Simple Characters and Base Change (2003) (32)
Types and explicit Plancherel formulae for reductive p-adic groups (2011) (31)
Local tame lifting for GL(n) III: explicit base change and Jacquet-Langlands correspondence (2005) (29)
Synthesis of results (1983) (29)
Langlands parameters for epipelagic representations of $$\hbox {GL}_{n}$$GLn (2013) (27)
Types in reductive p-adic groups: The Hecke algebra of a cover (2000) (24)
Effective local Langlands correspondence (2014) (24)
Induced representations of locally pro nite groups (1990) (23)
The admissible dual of ${\rm SL}(N)$. I (1993) (21)
Supercuspidal Representations of GLn: Explicit Whittaker Functions (1998) (21)
Explicit functorial correspondences for level zero representations of p-adic linear groups (2011) (19)
Functorial products for $GL_2\times GL_3$ and the symmetric cube for $GL_2$ (2004) (18)
Davenport-Hasse relations and an explicit Langlands correspondence (2000) (17)
Modular Local Langlands Correspondence for GLn (2014) (17)
Intertwining of simple characters in GL(n) (2011) (16)
A The admissible dual of SL ( N ) . I (2017) (16)
Higher ramification and the local Langlands correspondence (2015) (15)
CYCLOTOMIC FIELDS II (Graduate Texts in Mathematics, 69) (1981) (15)
Davenport-Hasse relations and an explicit Langlands correspondence, II : twisting conjectures (2000) (10)
Solomon's conjectures and the local functional equation for zeta functions of orders (1980) (10)
Counting the discrete series for GL(n) (2007) (9)
L-functions of arithmetic orders and asymptotic distribution of ideals. (1981) (9)
A survey of analytic methods in noncommutative number theory (1985) (8)
On the Derived Subgroups of Certain Unipotent Subgroups of Reductive Groups over Infinite Fields (2002) (8)
The prime ideal theorem in non-commutative arithmetic (1982) (7)
Norm distribution in Galois orbits. (1979) (7)
Smooth Representations of p-adic Groups: The Role of Compact Open Subgroups (1995) (7)
To an effective local Langlands Corrspondence (2011) (7)
Strong exponent bounds for the local Rankin-Selberg convolution (2016) (7)
The Admissible Dual of GL N Via Restriction to Compact Opent Subgroups (1991) (6)
L-functions and Arithmetic: Gauss sums and local constants for GL(N) (1991) (6)
The Jacquet-Langlands Correspondence (2006) (6)
One-dimensional representations (1983) (6)
Self-dual representations of some dyadic groups (2011) (5)
Norms of Normal Integral Generators (1977) (5)
Diophantine approximation and norm distribution in Galois orbits (1983) (5)
Modular quadratic and Hermitian forms over Dedekind rings. (1976) (4)
Local Jacquet-Langlands correspondence and parametric degrees (2004) (4)
Functional equations for L-functions of arithmetic orders. (1981) (4)
Local Langlands correspondence and ramification for Carayol representations (2016) (4)
The local Rankin-Selberg convolution for GL(n): divisibility of the conductor (2001) (4)
Modular quadratic and Hermetian forms over Dedekind rings. I. (1976) (3)
Appendix: On certain dyadic representations (2002) (3)
Analytic continuation of partial zeta functions of arithmetic orders. (1984) (3)
Arithmetic of Cuspidal Representations (2019) (3)
New asymptotic formulas for the distribution of left ideals of orders. (1986) (3)
Explicit Jacquet-Langlands correspondence II. The case of degree equal to residual characteristic (2000) (3)
Functional equations for Hurwitz series and partial zeta functions of orders. (1986) (3)
Zeta-functions of orders (1981) (3)
Zeta functions and composition factors for arithmetic orders (1987) (2)
LEFT-VS-RIGHT ZETA-FUNCTIONS (1984) (2)
Wildly ramified supercuspidals (1999) (2)
A congruence property of the local Langlands correspondence (2011) (2)
Explicit unramified base change: GL(p) of a p-adic field (2003) (1)
Integrality of Galois Jacobi Sums (1977) (1)
Representations of certain group extensions (1983) (1)
Tame multiplicity and conductor for local Galois representations (2018) (1)
2. The structure of simple strata (1993) (0)
SELECTED TOPICS ON POLYNOMIALS (1983) (0)
A note on involutary division algebras of the second kind (1977) (0)
1. Exactness and intertwining (1993) (0)
The Dyadic Langlands Correspondence (2006) (0)
Representations of Weil Groups (2006) (0)
8. Atypical representations (1993) (0)
4. Interlude with Hecke algebra (1993) (0)
7. Typical representations (1993) (0)
Explicit local Jacquet-Langlands correspondence: The non-dyadic wild case (2017) (0)
The basic inductive step (1983) (0)
Arithmetic of Dyadic Fields (2006) (0)
Parametrization of Tame Cuspidals (2006) (0)
RECTIFIERS AND THE LOCAL LANGLANDS CORRESPONDENCE: THE UNRAMIFIED CASE (2013) (0)
Induction constants for Galois Gauss sums (1983) (0)
Arithmetic of local division algebras (1983) (0)
Introduction to Gauss Sums (1983) (0)
The general inductive process (1983) (0)
Comments for the reader (1993) (0)
The Langlands Correspondence (2006) (0)
The basic correspondence (1983) (0)
On Certain $l$-functions (2011) (0)
6. Maximal types (1993) (0)
3. The simple characters of a simple stratum (1993) (0)
Induced Representations of Linear Groups (2006) (0)
Index of notation and terminology (1993) (0)
5. Simple types (1993) (0)

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