Peter Teichner | Academic Influence

Peter Teichner's AcademicInfluence.com Rankings

Peter Teichner

Mathematics

#1826

World Rank

#2914

Historical Rank

Measure Theory

#4384

World Rank

#5155

Historical Rank

mathematics Degrees

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Mathematics

Peter Teichner's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is Peter Teichner Influential?

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According to Wikipedia, Peter Teichner is a German mathematician and one of the directors of the Max Planck Institute for Mathematics in Bonn. His main areas of work are topology and geometry. Life In 1988, Peter Teichner graduated from the University of Mainz with a degree in mathematics. After graduating, he worked for one year in Canada, funded by the "Government of Canada Award", at McMaster University in Hamilton . From 1989 to 1990 he was affiliated with the Max Planck Institute for Mathematics. From 1990 to 1992 he worked at the University of Mainz as a research assistant, and in 1992 he received his doctorate with Matthias Kreck as his advisor. The title of his doctoral thesis was Topological four-manifolds with finite fundamental group.

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Peter Teichner'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

Knot concordance, Whitney towers and L^2 signatures (1999) (256)
Structure in the classical knot concordance group (2002) (120)
Supersymmetric field theories and generalized cohomology (2011) (115)
4-Manifold topology I: Subexponential groups (1995) (91)
Topology, Geometry and Quantum Field Theory: What is an elliptic object? (2004) (88)
On the signature of four-manifolds with universal covering spin (1993) (69)
KNOT CONCORDANCE AND VON NEUMANN ρ-INVARIANTS (2006) (60)
Van Kampen’s embedding Obstruction is incomplete for $2$-Complexes in $\rz^{4}$ (1994) (60)
Grope cobordism of classical knots (2000) (56)
4-Manifold topology II: Dwyer's filtration and surgery kernels (1995) (52)
Nonorientable 4-manifolds with fundamental group of order 2 (1994) (49)
Knot concordance and von Neumann $\rho$-invariants (2004) (44)
Higher order intersection numbers of 2-spheres in 4-manifolds (2000) (40)
On Knots with trivial Alexander polynomial (2002) (40)
Topological four-manifolds with finite fundamental group (1992) (36)
Differential forms and 0-dimensional supersymmetric field theories (2011) (34)
All two dimensional links are null homotopic (1999) (34)
TOPOLOGICAL 4-MANIFOLDS WITH GEOMETRICALLY TWO-DIMENSIONAL FUNDAMENTAL GROUPS (2008) (34)
Alexander Duality, Gropes and Link Homotopy (1997) (33)
A non-extended hermitian form over ℤ[ℤ] (1997) (30)
New topologically slice knots (2005) (29)
Grope cobordism and feynman diagrams (2002) (28)
Whitney tower concordance of classical links (2012) (28)
Higher-order intersections in low-dimensional topology (2010) (23)
A NON-EXTENDED HERMITIAN FORM OVER Z[Z] (2005) (23)
Whitney towers and the Kontsevich integral (2004) (23)
New Constructions of Slice Links (2007) (22)
Milnor invariants and twisted Whitney towers (2011) (21)
From Minimal Geodesics to Supersymmetric Field Theories (2010) (19)
Counterexamples to the Kneser conjecture in dimension four (1995) (19)
Tree homology and a conjecture of Levine (2010) (18)
Cohomotopy sets of 4-manifolds (2012) (18)
From minimal geodesics to super symmetric field theories (2009) (18)
Geometric filtrations of string links and homology cylinders (2012) (16)
Jacobi identities in low-dimensional topology (2004) (16)
Four-manifolds up to connected sum with complex projective planes (2018) (16)
Homotopy versus isotopy: Spheres with duals in 4-manifolds (2019) (14)
6-dimensional manifolds without totally algebraic homology (1995) (14)
Stable classification of 4‐manifolds with 3‐manifold fundamental groups (2015) (14)
Knots, von Neumann Signatures, and Grope Cobordism (2003) (14)
“Stable Prime Decompositions of Four-Manifolds” by (2003) (13)
BETTI NUMBER ESTIMATES FOR NILPOTENT GROUPS (2001) (12)
Traces in monoidal categories (2010) (11)
Non-smoothable Four-manifolds with Infinite Cyclic Fundamental Group (2007) (9)
Positivity of topological field theories in dimension at least 5 (2008) (9)
Pulling apart 2-spheres in 4-manifolds (2012) (9)
The 4-dimensional disc embedding theorem and dual spheres (2020) (8)
MAXIMAL NILPOTENT QUOTIENTS OF 3-MANIFOLD GROUPS (1996) (7)
Slice Knots: Knot Theory in the 4th Dimension (2010) (7)
Algebraic criteria for stable diffeomorphism of spin 4-manifolds (2020) (7)
Universal quadratic forms and Whitney tower intersection invariants (2012) (7)
Geometric Filtrations of Classical Link Concordance (2011) (6)
The group of disjoint 2-spheres in 4-space (2017) (6)
ALL 4-MANIFOLDS HAVE SPIN STRUCTURES (2005) (6)
ℂℙ2-stable classification of 4-manifolds with finite fundamental group (2019) (6)
Super symmetric field theories and integral modular functions (2007) (4)
Positive topological field theories and manifolds of dimension 5 (2007) (4)
ON THE STAR-CONSTRUCTION FOR TOPOLOGICAL 4-MANIFOLDS (2005) (4)
Universal Quadratic Forms and Untwisting Whitney Towers (2011) (4)
NEW EXAMPLES OF TOPOLOGICALLY SLICE KNOTS AND LINKS (2006) (4)
A space level light bulb theorem in all dimensions (2021) (3)
A SPACE LEVEL LIGHT BULB THEOREM FOR DISKS (2021) (2)
Embedding surfaces in 4-manifolds (2022) (2)
Correction to ‘New topologically slice knots’ (2006) (2)
Flatness and the Ore condition for rings (2003) (2)
Clasper Concordance, Whitney towers and repeating Milnor invariants (2020) (2)
The Kervaire-Milnor invariant in the stable classification of spin 4-manifolds (2021) (1)
A new approach to light bulb tricks: Disks in 4-manifolds (2022) (0)
The Schoenflies Theorem after Mazur, Morse, and Brown (2021) (0)
Round handle problem (2017) (0)
Tree Homology and a Conjecture of Levine J (2010) (0)
CLASSIFICATION OF CLOSED TOPOLOGICAL 4-MANIFOLDS (2007) (0)
Non-smoothable four-manifolds with cyclic fundamental group (2006) (0)
Appendix-Clarification of Linear Grope Height Raising (2005) (0)
A pr 2 00 0 ALL TWO DIMENSIONAL LINKS ARE NULL HOMOTOPIC (2000) (0)
Symmetric surgery and boundary link maps (1998) (0)
Four-dimensional Manifolds (2006) (0)
Strings, Fields and Topology (2009) (0)
Mathematische Annalen Grope cobordism and feynman diagrams (2003) (0)
O ct 2 00 1 Grope cobordism of classical knots (2008) (0)
Super manifolds: an incomplete survey* (2011) (0)
6-DIMENSIONAL MANIFOLDS WITHOUT TOTALLY (2010) (0)
Immersions of punctured 4-manifolds (2022) (0)
Factorization Algebras and Functorial Field Theories (2016) (0)
Geometric Topology and Connections with Quantum Field Theory (2005) (0)
Cochran's $\beta^i$ invariants via twisted Whitney towers (2016) (0)

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