Nigel Higson

Q: What Schools Are Affiliated With Nigel Higson

Nigel Higson is affiliated with the following schools: Dalhousie University, Pennsylvania State University, University of Pennsylvania

Nigel Higson's AcademicInfluence.com Rankings

Nigel Higson

Mathematics

#3021

World Rank

#4543

Historical Rank

Topology

#45

World Rank

#68

Historical Rank

Algebra

#123

World Rank

#197

Historical Rank

Measure Theory

#3396

World Rank

#4011

Historical Rank

mathematics Degrees

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Mathematics

Why Is Nigel Higson Influential?

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According to Wikipedia, Nigel David Higson is a Canadian math professor at Pennsylvania State University who received the 1996 Coxeter–James Prize. His doctorate came from Dalhousie University in 1985, under the supervision of Peter Fillmore. He works in the fields of operator algebra and K-theory. In 1998 he was an Invited Speaker of the International Congress of Mathematicians in Berlin. In 2012 he was chosen as one of the inaugural Fellows of the American Mathematical Society.

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Nigel Higson'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

Classifying Space for Proper Actions and K-Theory of Group C*-algebras (2004) (568)
Analytic K-Homology (2000) (517)
E-theory and KK-theory for groups which act properly and isometrically on Hilbert space (2001) (354)
Counterexamples to the Baum—Connes conjecture (2002) (280)
Amenable group actions and the Novikov conjecture (2000) (231)
The Novikov Conjecture for Linear Groups (2005) (196)
Operator -theory for groups which act properly and isometrically on Hilbert space (1997) (128)
Bivariant K-theory and the Novikov conjecture (2000) (123)
Equivariant E-Theory for C*-Algebras (2000) (118)
A characterization of KK-theory (1987) (109)
On the Equivalence of Geometric and Analytic K-Homology (2007) (93)
Novikov Conjectures, Index Theorems and Rigidity: On the coarse Baum-Connes conjecture (1995) (90)
A Bott Periodicity Theorem for Infinite Dimensional Euclidean Space (1998) (85)
Mapping Surgery to Analysis I: Analytic Signatures (2004) (82)
Foot care education in patients with diabetes at low risk of complications: a consensus statement (2011) (82)
Group C*-Algebras and K-Theory (2004) (82)
C*-Algebras and Controlled Topology (1997) (79)
C*-Algebra Extension Theory and Duality (1995) (75)
Mapping Surgery to Analysis III: Exact Sequences (2004) (66)
Algebraic K-theory of stable C∗-algebras (1988) (66)
Mapping Surgery to Analysis II: Geometric Signatures (2004) (66)
The Residue Index Theorem of Connes and Moscovici (2004) (60)
A note on the cobordism invariance of the index (1991) (57)
K-Homology, Assembly and Rigidity Theorems for Relative Eta Invariants (2010) (47)
Categories of fractions and excision in KK-theory (1990) (41)
The Atiyah-Singer index theorem (2010) (38)
Equivariant -theory for *-algebras (2000) (34)
On a technical theorem of Kasparov (1987) (33)
THE MACKEY ANALOGY AND K-THEORY (2009) (32)
Weak amenability of CAT(0)-cubical groups (2007) (31)
A Geometric Description of Equivariant K-Homology for Proper Actions (2009) (30)
COUNTEREXAMPLES TO THE COARSE BAUM-CONNES CONJECTURE (2011) (30)
A proof of the Baum-Connes conjecture for p-adic GL(n) (1997) (27)
Representation theory of $p$-adic groups: a view from operator algebras (2000) (27)
Cyclic Homology of Totally Disconnected Groups Acting on Buildings (1996) (27)
INDEX THEORY, COARSE GEOMETRY, AND TOPOLOGY OF MANIFOLDS (CBMS Regional Conference Series in Mathematics 90) (1998) (25)
On the K-Theory Proof of the Index Theorem (2004) (24)
A homotopy invariance theorem in coarse cohomology and $K$-theory (1994) (23)
AN APPROACH TO ℤ/k-INDEX THEORY (1990) (22)
Euler-Like Vector Fields, Deformation Spaces and Manifolds with Filtered Structure (2016) (22)
Spaces with Vanishing ℓ2-Homology and their Fundamental Groups (after Farber and Weinberger) (2001) (21)
Parabolic induction and restriction via $C^{\ast }$-algebras and Hilbert $C^{\ast }$-modules (2014) (20)
Contractions of Representations and Algebraic Families of Harish-Chandra Modules (2017) (19)
On the Analogy Between Complex Semisimple Groups and Their Cartan Motion Groups (2011) (19)
Algebraic Families of Harish-Chandra Pairs (2016) (19)
Report on renal disease in diabetes. (1996) (18)
The Baum-Connes conjecture. (1998) (17)
The Tangent Groupoid and the Index Theorem (2010) (17)
ADJOINT FUNCTORS BETWEEN CATEGORIES OF HILBERT $C^{\ast }$ -MODULES (2014) (16)
Meromorphic continuation of zeta functions associated to elliptic operators (2006) (13)
Almost Homomorphisms and KK-Theory (2004) (12)
The Weyl-Von Neumann Theorem for Multipliers Of Some Af-Algebras (1991) (11)
Parabolic induction, categories of representations and operator spaces (2015) (9)
A NOTE ON TOEPLITZ OPERATORS (1996) (9)
Equivariant homology for $\rm SL(2)$ of a $p$-adic field (1993) (8)
What is a good GP? (1986) (8)
Weyl character formula in KK-theory (2012) (7)
Algebraic Families of Groups and Commuting Involutions (2017) (6)
A Second Adjoint Theorem for SL(2,R) (2016) (6)
A CHARACTERIZATION OF K K-THEORY (1987) (5)
On the Baum–Connes Conjecture for Groups Acting on CAT(0)-Cubical Spaces (2019) (5)
Do advertisements help in the appointment of a new partner? (1985) (5)
On a spectral theorem of Weyl (2016) (4)
Concerns about “lookback” exercise for hepatitis C (1995) (4)
Spinors and the Tangent Groupoid (2019) (4)
Noncommutative Geometry: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 3-9, 2000 (2004) (4)
Assessing the consequences of changing childbirth (1995) (3)
Higher Signatures of Witt spaces (2017) (2)
Managing risk. A priority in the Health Service. (1995) (2)
C∗–algebraic higher signatures and an invariance theorem in codimension two (2017) (2)
A differential complex for CAT(0) cubical spaces (2016) (2)
What is and what is not a polyclinic (2008) (2)
On the Connes-Kasparov isomorphism, I: The reduced C*-algebra of a real reductive group and the K-theory of the tempered dual (2022) (2)
Groupoids, C*-Algebras and Index Theory (2004) (1)
An allergy to marmite? (1989) (1)
Surveys in noncommutative geometry : proceedings from the Clay mathematics institute instructional symposium, held in conjuction with the AMS-IMS-SIAM joint summer research conference on noncommutative geometry, June 18-29, 2000, Mount Holyoke College, South Hadley, MA (2006) (1)
BMA against again (1989) (1)
Sit up and take notice about avian flu (2005) (1)
On the Connes-Kasparov isomorphism, II: The Vogan classification of essential components in the tempered dual (2022) (1)
The Mackey bijection for complex reductive groups and continuous fields of reduced group C*-algebras (2019) (1)
Operator Algebras (2005) (0)
Measles campaign (1995) (0)
V.2 The Atiyah–Singer Index Theorem (2010) (0)
Symmetries of the Hydrogen Atom (2019) (0)
What Happens in the Raincloud ? (1998) (0)
A Hilbert Space Problem Book. By Paul R. Haimos (1984) (0)
Screening for diabetes in general practice. Population screening for diabetes is cost effective. (2002) (0)
Future of singlehanded general practices: The NHS has room for variety (2005) (0)
On Novodvorskii’s theorem and the Oka principle (2020) (0)
Health professionals' attitudes to MMR vaccine. Doctors must understand reasons behind vaccination. (2001) (0)
Hecke C*-algebras Table of Contents (0)
On Perrot's index cocycles (2022) (0)
Risk Management: Health and Safety in Primary Care (1996) (0)
Evaluating the measles immunisation campaign (1995) (0)
Risk Management: Health and Safety in Primary Care (1996) (0)
Euler-like vector fields and manifolds with filtered structure (2016) (0)
Families of symmetries and the hydrogen atom (2019) (0)
A differential complex for CAT(0) cubical complexes (2016) (0)
1 II Applications of Non-Commutative Geometry to Topology (0)
Points: Modification of prescription labels (1983) (0)
The Local Index Formula in Noncommutative Geometry (2003) (0)
K-theory and the quantization commutes with reduction problem (2014) (0)
IV.15 Operator Algebras (2010) (0)
Time to abolish cremation fees (1984) (0)
A CHARACTERIZATION OF i^-THEORY (1987) (0)
Doctors should learn 100 words of Punjabi or Hindustani (1983) (0)
Foreword to the Connes 70 Special Issue (2019) (0)
Foreword (2020) (0)
K-theory and the quantization commutes with reduction problem (2014) (0)

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Other Resources About Nigel Higson

What Schools Are Affiliated With Nigel Higson?

Nigel Higson is affiliated with the following schools:

Nigel Higson's Academic­Influence.com Rankings

Why Is Nigel Higson Influential?

Nigel Higson's Published Works

Published Works

Other Resources About Nigel Higson

What Schools Are Affiliated With Nigel Higson?

Nigel Higson's AcademicInfluence.com Rankings