Paul Baum | Academic Influence

Paul Baum 's AcademicInfluence.com Rankings

Paul Baum

Mathematics

#4479

World Rank

#6355

Historical Rank

#1537

USA Rank

Measure Theory

#3380

World Rank

#3992

Historical Rank

#974

USA Rank

mathematics Degrees

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Mathematics

Paul Baum 's Degrees

PhD Mathematics University of California, Berkeley

Why Is Paul Baum Influential?

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According to Wikipedia, Paul Frank Baum is an American mathematician, the Evan Pugh Professor of Mathematics at Pennsylvania State University. He is known for formulating the Baum–Connes conjecture with Alain Connes in the early 1980s.

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Paul Baum '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)
Riemann-roch for singular varieties (1975) (285)
Singularities of holomorphic foliations (1972) (213)
CHERN CHARACTER FOR DISCRETE GROUPS (1988) (156)
THE COHOMOLOGY OF QUOTIENTS OF CLASSICAL GROUPS (1965) (126)
Riemann-Roch and topologicalK-theory for singular varieties (1979) (108)
On the cohomology of homogeneous spaces (1968) (103)
On the Zeroes of Meromorphic Vector-Fields (1970) (95)
On the Equivalence of Geometric and Analytic K-Homology (2007) (93)
Cycles and relative cycles in analytic $K$-homology (1989) (73)
Lefschetz-riemann-roch for singular varieties (1979) (73)
Expanders, exact crossed products, and the Baum–Connes conjecture (2013) (66)
Topics in Algebraic and Topological K-Theory (2010) (65)
Operator Algebras and Applications: K-theory for discrete groups (1989) (55)
The local Langlands correspondence for inner forms of SL$$_{n}$$n (2013) (50)
Free actions of compact quantum group on unital C*-algebras (2013) (48)
Noncommutative Geometry Approach to Principal and Associated Bundles (2006) (40)
Conjectures about p-adic groups and their noncommutative geometry (2015) (34)
On the Baum–Connes conjecture in the real case (2004) (31)
Leafwise Homotopy Equivalence and Rational Pontrjagin Classes (1985) (30)
Relative K homology and C* algebras (1991) (30)
A Geometric Description of Equivariant K-Homology for Proper Actions (2009) (30)
The K-Theory of Heegaard-Type Quantum 3-Spheres (2004) (30)
Toeplitz Operators and Poincaré Duality (1982) (30)
The principal series of p ‐adic groups with disconnected center (2014) (28)
The Hecke algebra of a reductive p-adic group: a geometric conjecture (2005) (27)
Infinitesimal isometries and pontryagin numbers (1969) (27)
Representation theory of $p$-adic groups: a view from operator algebras (2000) (27)
A proof of the Baum-Connes conjecture for p-adic GL(n) (1997) (27)
Equivariant geometric K-homology for compact Lie group actions (2009) (26)
Depth and the Local Langlands Correspondence (2013) (24)
The real cohomology of differentiable fibre bundles (1967) (22)
K-homology and index theory on contact manifolds (2011) (22)
Noncommutative Borsuk-Ulam-type conjectures (2015) (21)
Geometric structure in smooth dual and local Langlands conjecture (2014) (20)
Periodic cyclic homology of Iwahori–Hecke algebras∗ (2001) (20)
Geometric structure in the principal series of the p-adic group G_2 (2008) (19)
On the local Langlands correspondence for non-tempered representations (2013) (19)
Geometric structure in the representation theory of p-adic groups (2006) (18)
HECKE ALGEBRAS FOR INNER FORMS OF $p$ -ADIC SPECIAL LINEAR GROUPS (2014) (18)
Structure of foliation singularities (1975) (18)
Quadratic maps and stable homotopy groups of spheres (1967) (16)
K-cycles for twisted K-homology (2013) (15)
Local isomorphism of compact connected Lie groups (1967) (14)
Periodic cyclic homology of Iwahori-Hecke algebras (2002) (12)
Cohomology of homogeneous spaces (1963) (10)
Geometric structure and the local Langlands conjecture (2012) (10)
The Hecke algebra of a reductive p-adic group: a view from noncommutative geometry (2005) (10)
K-homology and Fredholm Operators II: Elliptic Operators (2016) (9)
Equivariant–Bivariant Chern Character for Profinite Groups (2002) (9)
Geometric structure for the principal series of a split reductive $p$-adic group with connected centre (2014) (9)
K-homology and Fredholm operators I: Dirac operators (2016) (9)
Equivariant Homology for SL(2) of a p-adic Field (2004) (8)
Equivariant homology for $\rm SL(2)$ of a $p$-adic field (1993) (8)
The noncommutative geometry of inner forms of p-adic special linear groups (2015) (7)
Excess intersection in equivariant bivariant K-theory (1992) (7)
Local-global principle for the Baum-Connes conjecture with coefficients (2002) (7)
Local Proof of Algebraic Characterization of Free Actions (2014) (7)
Vector fields and Gauss-Bonnet (1970) (7)
Geometric structure in the representation theory of reductive $p$-adic groups II (2011) (5)
EXACTNESS AND THE KADISON-KAPLANSKY CONJECTURE (2015) (4)
A proof of the Baum-Connes conjecture for reductive adelic groups (2000) (4)
Riemann - Roch theorem for singular varieties (1975) (4)
Smooth Duals of Inner Forms of $GL_n$ and $SL_n$ (2015) (4)
K-theory for group C -algebras (2009) (3)
The K-Theory of Heegaard-Type Quantum (2006) (2)
Geometric structure for Bernstein blocks (2014) (2)
Kazhdan-Lusztig parameters and extended quotients (2011) (2)
The Road to Palermo (1956) (1)
Extended quotients in the principal series of reductive p-adic groups (2011) (1)
On the spectra of finite type algebras (2017) (1)
R T ] 2 0 M ay 2 01 3 GEOMETRIC STRUCTURE AND THE LOCAL LANGLANDS CONJECTURE (2018) (0)
AN INVITATION TO C∗-ALGEBRAS: EXERCISES (2016) (0)
Smooth Duals of Inner Forms of $\mathrm{GL}_n$ and $\mathrm{SL}_n$ (2019) (0)
Se p 20 04 THE K-THEORY OF HEEGAARD-TYPE QUANTUM 3-SPHERES Dedicated to the memory of Olaf Richter (2004) (0)
Free Actions of Compact Quantum Groups on Unital $C^\ast$-Algebras (2017) (0)
Morita equivalence for $k$-algebras (2017) (0)
English Poetry: The Main Currents from Chaucer to the Present by Douglas Bush (1953) (0)
Smooth Duals of Inner Forms of and GLn and SLn (2019) (0)
Dirac operators and K-theory for discrere groups (2008) (0)
Equivariant KK-theory and noncommutative index theory (2008) (0)
1 2 N ov 2 01 7 ON THE SPECTRA OF FINITE TYPE ALGEBRAS (0)
Non-Commutative Geometry and the Local Langlands Conjecture (2012) (0)
Dirac operator and -theory for discrete groups (2010) (0)
The Index Theorem for Toeplitz Operators as a Corollary of Bott Periodicity (2020) (0)
The local Langlands correspondence for inner forms of SLn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$_{n}$$\end{do (2016) (0)
The local Langlands correspondence for inner forms of SLn Aubert, Anne-Marie and Baum, Paul and Plymen, Roger and Solleveld, Maarten 2013 (2017) (0)
The Life of Edward FitzGerald Translator of the Rubáiyát of Omar Khayyam by Alfred McKinley Terhune (1948) (0)
Ju l 2 00 6 Geometric structure in the representation theory of p-adic groups (2006) (0)
K T ] 2 8 D ec 2 00 4 THE K-THEORY OF HEEGAARD-TYPE QUANTUM 3-SPHERES Dedicated to the memory of Olaf Richter (2004) (0)
The Frieda Lawrence Collection of D. H. Lawrence Manuscripts. A Descriptive Bibliography. by E. W. Tedlock, Jr. (1948) (0)
Depth and the local Langlands correspondence Aubert, Anne-Marie and Baum, Paul and Plymen, Roger and Solleveld, Maarten 2013 (2017) (0)
The Riemann-Roch Theorem (2009) (0)
Report for the biannual meeting in Noncommutative Geometry Summer 2012 (2013) (0)
Geometric structure in smooth dual and local Langlands conjecture (2014) (0)
Noncommutative index theory (2016) (0)
Anatomy of Criticism: Four Essays by Northrop Frye (1958) (0)
The Poetry of Thomas Hardy by James Granville Southworth (1948) (0)
John Ruskin and Effie Gray: The Story of John Ruskin, Effie Gray and John Everett Millais Told for the First Time in Their Unpublished Letters ed. by Admiral Sir William James, G.C.B (1948) (0)
Arthur Quiller-Couch: A Biographical Study of Q by F. Brittain (1949) (0)
Mini-courses Lecture 1 : What is K-theory and what is it good for ? (2013) (0)

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