Ralph Kaufmann | Academic Influence

Ralph Kaufmann's AcademicInfluence.com Rankings

Ralph Kaufmann

Mathematics

#2394

World Rank

#3714

Historical Rank

Algebraic Topology

#46

World Rank

#57

Historical Rank

Measure Theory

#4731

World Rank

#5539

Historical Rank

mathematics Degrees

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Mathematics

Ralph Kaufmann's Degrees

PhD Mathematics University of Potsdam

Why Is Ralph Kaufmann Influential?

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According to Wikipedia, Ralph Martin Kaufmann is a German mathematician working in the United States. Career Kaufmann studied mathematics, physics and philosophy at the University of Bonn. He obtained a master's degree in Physics in 1994 under the supervision of Werner Nahm and a master's degree in philosophy under the supervision of Rainer Stuhlmann-Laeisz in 1996. His doctoral studies were carried out at the Max Planck Institute for Mathematics under the supervision of Yuri Manin, and he graduated summa cum laude from University of Bonn in 1997 with a thesis entitled "The geometry of the moduli space of pointed curves, the tensor product in the theory of Frobenius manifolds and the explicit Künneth formula in quantum cohomology".

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Ralph Kaufmann'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

Stringy K-theory and the Chern character (2005) (73)
Orbifolding Frobenius Algebras (2001) (66)
A proof of a cyclic version of Deligne’s conjecture via Cacti (2004) (65)
On spineless cacti, Deligne's conjecture and Connes-Kreimer's Hopf algebra (2003) (62)
Feynman Categories (2013) (56)
Arc Operads and Arc Algebras (2002) (55)
On several varieties of cacti and their relations (2002) (52)
Moduli space actions on the Hochschild co-chains of a Frobenius algebra I: cell operads (2006) (51)
Pointed admissible G-covers and G-equivariant cohomological field theories (2003) (48)
Closed/open string diagrammatics (2006) (46)
Moduli space actions on the Hochschild co-chains of a Frobenius algebra II: correlators (2006) (40)
Singularities with Symmetries, orbifold Frobenius algebras and Mirror Symmetry (2003) (37)
Orbifold Frobenius algebras, cobordisms and monodromies (2002) (31)
Associahedra, cyclohedra and a topological solution to the A∞ Deligne conjecture (2010) (29)
The odd origin of Gerstenhaber brackets, Batalin-Vilkovisky operators, and master equations (2012) (27)
Notes on topological insulators (2015) (27)
THE DRINFEL'D DOUBLE AND TWISTING IN STRINGY ORBIFOLD THEORY (2007) (19)
The algebra of discrete torsion (2002) (18)
Operads, moduli of surfaces and quantum algebras (2004) (17)
Dimension vs. genus: A surface realization of the little k-cubes and an $E_{∞}$ operad (2009) (15)
The tensor product in the theory of Frobenius manifolds. (1998) (15)
Comprehensive factorisation systems (2017) (14)
Decorated Feynman Categories (2016) (14)
Open/closed string topology and moduli space actions via open/closed Hochschild actions (2009) (13)
Second Quantized Frobenius Algebras (2002) (12)
Topological insulators and K-theory (2015) (12)
Singularities, swallowtails and Dirac points. An analysis for families of Hamiltonians and applications to wire networks, especially the Gyroid (2012) (11)
The geometry of the double gyroid wire network: quantum and classical (2010) (11)
Cochain level May–Steenrod operations (2020) (9)
Feynman categories and representation theory (2019) (8)
Discrete Groups and Geometry: On the rank of NEC groups (1992) (8)
The Stiefel--Whitney theory of topological insulators (2016) (8)
The odd origin of Gerstenhaber, BV and the master equation (2012) (8)
Three Hopf algebras from number theory, physics & topology, and their common background I: operadic & simplicial aspects (2016) (7)
Discrete torsion, symmetric products and the Hubert scheme (2006) (7)
Re-Gauging Groupoid, Symmetries and Degeneracies for Graph Hamiltonians and Applications to the Gyroid Wire Network (2012) (7)
On CY-LG correspondence for (0, 2) toric models (2011) (7)
Graphs, Strings, and Actions (2009) (6)
PATH SPACE DECOMPOSITIONS FOR THE VIRASORO ALGEBRA AND ITS VERMA MODULES (1994) (6)
A detailed look on actions on Hochschild complexes especially the degree 1 coproduct and actions on loop spaces (2018) (6)
The noncommutative geometry of wire networks from triply periodic sufaces (2012) (6)
Noncommutative aspects of open/closed strings via foliations (2008) (5)
Associahedra, Cyclohedra and a Topological solution to the A_{\infty}--Deligne conjecture (2007) (5)
Three Hopf algebras from number theory, physics & topology, and their common background II: general categorical formulation (2020) (5)
A Note on the Two Approaches to Stringy Functors for Orbifolds (2007) (5)
Trees, graphs and aggregates: a categorical perspective on combinatorial surface topology, geometry, and algebra (2022) (5)
Arc geometry and algebra: foliations, moduli spaces, string topology and field theory (2014) (4)
Lectures on Feynman Categories (2017) (4)
Plus constructions, plethysm, and unique factorization categories with applications to graphs and operad-like theories (2022) (3)
Projective representations from quantum enhanced graph symmetries (2015) (3)
A combinatorial ${E_\infty}$-algebra structure on cubical cochains and the Cartan-Serre map (2021) (3)
Chain level Steenrod operations (2020) (3)
Global Stringy Orbifold Cohomology, K-Theory and de Rham Theory (2010) (3)
Pathlike Co/Bialgebras and their Antipodes with Applications to Bi- and Hopf Algebras Appearing in Topology, Number Theory and Physics (2021) (2)
Permutohedral structures on E 2 E_{2} -operads (2016) (2)
Local models and global constraints for degeneracies and band crossings (2018) (2)
Geometry of the momentum space: From wire networks to quivers and monopoles (2013) (2)
Dimension vs. Genus: A surface realization of the little k-cubes and an E_{\infty}-operad (2008) (1)
Noncommutative topological $\mathbb{Z}_2$ invariant (2016) (1)
Theoretical Properties of Materials Formed as Wire Network Graphs from Triply Periodic CMC Surfaces, Especially the Gyroid (2018) (1)
Koszul Feynman Categories (2021) (1)
Operads, Strings and Deligne's Conjecture: A Text for Mathematicians and Physicists (2014) (0)
Math by Pure Thinking: R First and the Divergence of Measures in Hegel's Philosophy of Mathematics (2017) (0)
Re-Gauging Groupoid, Symmetries and Degeneracies for Graph Hamiltonians and Applications to the Gyroid Wire Network (2015) (0)
Noncommutative topological Z 2 invariant (2018) (0)
Plethysm Products, Element and Plus Constructions (2022) (0)
Communications in Mathematical Physics Second Quantized Frobenius Algebras (2004) (0)
Algebraic operations in geometry, topology and physics. (2015) (0)
The geometry and algebra of master equations, BV operators and Feynman transforms (2014) (0)
HEGEL ON CALCULUS (2017) (0)
The intersection form in the cohomology of the moduli space of genus 0 $n$-pointed curves $H^*(\overline{M}_{0,n})$ and the explicit K\ (1996) (0)
CFT from the arc point of view and structural relations to planar algebras (2012) (0)
Singularities with Symmetries, $G$--Frobenius algebras and Mirror Symmetry (2003) (0)

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