Ib Madsen | Academic Influence

Ib Madsen's AcademicInfluence.com Rankings

Ib Madsen

Mathematics

#1634

World Rank

#2635

Historical Rank

Measure Theory

#3314

World Rank

#3916

Historical Rank

mathematics Degrees

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Mathematics

Ib Madsen's Degrees

PhD Mathematics Aarhus University
Masters Mathematics Aarhus University

Why Is Ib Madsen Influential?

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According to Wikipedia, Ib Henning Madsen is a Danish mathematician, a professor of mathematics at the University of Copenhagen. He is known for proving the Mumford conjecture on the cohomology of the stable mapping class group, and for developing topological cyclic homology theory.

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Ib Madsen'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 cyclotomic trace and algebraic K-theory of spaces (1993) (406)
The stable moduli space of Riemann surfaces: Mumford's conjecture (2002) (337)
The classifying spaces for surgery and cobordism of manifolds (1979) (293)
On the K-theory of finite algebras over witt vectors of perfect fields (1997) (282)
On the K-theory of local fields (1999) (238)
The homotopy type of the cobordism category (2006) (226)
From Calculus to Cohomology: De Rham Cohomology and Characteristic Classes (1997) (125)
The stable mapping class group and Q(ℂP∞+) (2001) (95)
Infinite loop maps in geometric topology (1977) (85)
Cyclic polytopes and the $K$-theory of truncated polynomial algebras (1997) (81)
Algebraic K-theory and traces (1995) (77)
On the de Rham–Witt complex in mixed characteristic (2004) (76)
The topological spherical space form problem—II existence of free actions (1976) (68)
On the action of the Dyer-Lashof algebra in $H_{\ast}(G)$. (1975) (66)
Evaluation of the transfer and the universal surgery classes (1976) (54)
On the Realization of Certain Modules over the Steenrod Algebra. (1972) (41)
Surfaces in a background space and the homology of mapping class groups (2006) (41)
Algebraic K-Theory of Local Number Fields: The Unramified Case (1996) (39)
PL Characteristic Classes and Cobordism (1973) (38)
Homological stability of diffeomorphism groups (2012) (35)
Actions of Finite Groups on R n+k with Fixed Set R k (1986) (32)
On the classification ofG-spheres I: equivariant transversality (1988) (31)
Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92) (1980) (30)
On the algebraic $K$-theory of simply connected spaces (1996) (30)
Topological Hochschild homology of number rings (2000) (30)
On the K-theory of nilpotent endomorphisms (2003) (29)
Tangential homotopy equivalences (1980) (29)
Rational homotopy theory of automorphisms of manifolds (2014) (29)
REIDEMEISTER TORSION, SURGERY INVARIANTS AND SPHERICAL SPACE FORMS (1983) (26)
Divisibility of the stable Miller-Morita-Mumford classes (2006) (25)
ON THE ACTION OF THE DYER-LASHOF ALGEBRA IN H * ( G ) (2012) (24)
ON THE ACTION OF THE DYER-LASHOF ALGEBRA IN H * ( G ) (2012) (24)
On the K-theory of Local Elds (23)
The cobordism category and Waldhausen's K-theory (2011) (23)
On the classification of G-spheres II: PL automorphism groups. (1989) (22)
Smooth spherical space forms (1978) (22)
THE STABLE MAPPING CLASS GROUP AND STABLE HOMOTOPY THEORY (2005) (22)
TOPOLOGICAL SPHERICAL SPACE FORM PROBLEM. III. DIMENSIONAL BOUNDS AND SMOOTHING (1983) (18)
Topological cyclic homology of the integers (2019) (18)
Higher torsion inSG andBSG (1975) (18)
Homology operations in the Eilenberg-Moore spectral sequence (1975) (17)
On the computation of the projective surgery obstruction groups (1993) (16)
HOMOTOPY QUOTIENTS OF MAPPING SPACES AND THEIR STABLE SPLITTING (1988) (15)
The Cyclotomic Trace in Algebraic K -Theory (1994) (15)
Rigidity of certain finite group actions on the complex projective plane (1989) (15)
EquivariantL-theory II (1990) (15)
The cyclotomic trace and the K-theoretic analogue of Novikov's conjecture. (1989) (15)
Classifying $G$ spheres (1982) (14)
Controlled algebraic K-theory, a survey. (2000) (14)
The universal smooth surgery class (1975) (13)
On the Swan subgroup of certain periodic groups (1983) (13)
Rational homotopy theory of automorphisms of highly connected manifolds (2015) (12)
EquivariantL-theory I (1990) (11)
New Developments in Topology: On spherical fiber bundles and their PL reductions (1974) (11)
Stability for closed surfaces in a background space (2010) (11)
On the homotopy theory of equivariant automorphism groups (1988) (11)
Trace maps in algebraic K-theory and the Coates-Wiles homomorphism. (1990) (11)
Algebraic Topology Aarhus 1978 (1979) (9)
Algebraic Topology Aarhus 1982 (1984) (9)
On Evaluation of Higher Order Cohomology Operations. (1967) (9)
Local surgery obstructions and space forms (1986) (9)
Geometric equivariant bordism and K-theory (1986) (9)
Locally linear representation forms (1990) (7)
Cochain Functors for General Cohomology Theories II. (1967) (7)
Smooth and locally linear g homotopy representations (1985) (7)
Moduli spaces from a topological viewpoint (2006) (5)
Geometry and Topology: Aarhus (2000) (5)
Equivariant pseudo-isotopies and K −I (1989) (5)
Compactifying infinite group actions. (2000) (5)
Homology operations inG/TOP (1982) (5)
Note on Whitehead Products in Spheres. (1967) (5)
On the discriminants of forms with Arf invariant one. (1989) (4)
${\text{PL}}$ characteristic classes and cobordism (1971) (3)
An integral Riemann-Roch theorem for surface bundles (2009) (3)
Topological classifications of Sℓ2$$(\mathbb{F}_p )$$ space forms (1979) (3)
Homology of the open moduli space of curves (2012) (2)
The oriented topological and ${\text{PL}}$ cobordism rings (1974) (2)
Lectures on characteristic classes in algebraic topology (1988) (2)
ACTIONS OF FINITE GROUPS ONR"^ WITH FIXED SETR^ (2007) (1)
The oriented bordism of topological manifolds and integrality relations (1976) (1)
CHAPTER 5. THE HOMOTOPY STRUCTURE OF MSPL[½] AND MSTOP[½] (1980) (0)
CHAPTER 10. THE TORSION FREE COHOMOLOGY OF BTOP AND BPL (1980) (0)
Algebraic topology, Aarhus 1982 : proceedings of a conference held in Aarhus, Denmark, August 1-7, 1982 (1984) (0)
Equivariant transversality and automorphism groups (1984) (0)
APPENDIX. THE PROOFS OF 13.12, 13.13, AND 13.15 (1980) (0)
CHAPTER 2. THE SURGERY CLASSIFICATION OF MANIFOLDS (1980) (0)
CHAPTER 12. THE SMOOTH SURGERY CLASSES AND H*(BTOP; ℤ/2) (1980) (0)
The s (sup 1) - tate spectrum for j (1992) (0)
CHAPTER 3. THE SPACES SG AND BSG (1980) (0)
CHAPTER 13. THE BOCKSTEIN SPECTRAL SEQUENCE FOR BTOP (1980) (0)
CHAPTER 4. THE HOMOTOPY STRUCTURE OF G/PL AND G/TOP (1980) (0)
Geometry and topology : Aarhus : Conference on Geometry and Topology, August 10-16, 1998, Aarhus University, Aarhus, Denmark (2000) (0)
CHAPTER 11. INTEGRALITY THEOREMS (1980) (0)
CHAPTER 14. THE TYPES OF TORSION GENERATORS (1980) (0)
CHAPTER 1. CLASSIFYING SPACES AND COBORDISM (1980) (0)
CHAPTER 8 . THE TORSION FREE STRUCTURE OF THE ORIENTED COBORDISM RINGS (1980) (0)
CHAPTER 9. THE TORSION FREE COHOMOLOGY OF G/TOP AND G/PL (1980) (0)
DIVISIBILITY OF THE STABLE (2006) (0)
THE ORIENTED TOPOLOGICAL AND PL COBORDISM RINGS BY I. MADSEN AND R. J. MILGRAM (2007) (0)
The moduli space of generalized Morse functions (2010) (0)
CHAPTER 6 . INFINITE LOOP SPACES AND THEIR HOMOLOGY OPERATIONS (1980) (0)
Algebraic topology, Aarhus 1978 : proceedings of a symposium held at Aarhus, Denmark, August 7-12, 1978 (1979) (0)
CHAPTER 7. THE 2-LOCAL STRUCTURE OF B(G/TOP) (1980) (0)
Algebraic topology, 1981 :[Topology Seminar at Matematisk Institut, Aarhus University in 1981] (1982) (0)

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