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Mathematics

D-Index
46
Citations
6552
World Ranking
1396
National Ranking
20

Overview

Carsten Schneider is affiliated with Johannes Kepler University of Linz in Austria. Their research work spans across several interconnected scientific disciplines including Physics and Astronomy, Computer Science, and Mathematics, with particular emphasis on subfields such as Nuclear and High Energy Physics, Computational Theory and Mathematics, and Algebra and Number Theory.

The primary research areas explored by Schneider encompass Particle physics theoretical and experimental studies, Quantum Chromodynamics and Particle Interactions, Black Holes and Theoretical Physics, Polynomial and algebraic computation, Advanced Mathematical Identities, Algebraic and Geometric Analysis, and Mathematical functions and polynomials.

Frequent coauthors in Schneider's work include J. Blümlein, Kay Schönwald, Jakob Ablinger, A. Freitas, and Peter Marquard. These collaborations have contributed significantly to publications across various journals and research venues.

Publication venues with notable contributions from Schneider are diverse and include:

  • arXiv (Cornell University)
  • Nuclear Physics B
  • Journal of High Energy Physics
  • Journal of Symbolic Computation
  • Physical Review D

Recent papers authored in the last few years highlight a focus on operator matrix elements and Wilson coefficients within high-energy physics contexts. These include:

  • The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements, 2021, Nuclear Physics B
  • The SAGEX review on scattering amplitudes, 2022, Journal of Physics A Mathematical and Theoretical
  • The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements, 2022, Journal of High Energy Physics
  • The massless three-loop Wilson coefficients for the deep-inelastic structure functions F2, FL, xF3 and g1, 2022, Journal of High Energy Physics
  • The three-loop single mass polarized pure singlet operator matrix element, 2020, Nuclear Physics B

Schneider has also contributed to academic books published by Springer Vienna, including:

  • Anti-Differentiation and the Calculation of Feynman Amplitudes, 2021
  • Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra, 2020

Throughout their career, Schneider's research output has centered on mathematical frameworks and computational techniques applicable to fundamental questions in particle physics and related mathematical domains. The blend of physics, mathematics, and computer science in their work reflects a multidisciplinary approach to addressing complex scientific problems. The publication record and frequent collaborations indicate sustained engagement with the nuclear and high-energy physics research community.

Best Publications

  • Harmonic sums and polylogarithms generated by cyclotomic polynomials

    Jakob Ablinger;Johannes Blümlein;Carsten Schneider

  • Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms

    Jakob Ablinger;Johannes Blümlein;Carsten Schneider

  • Symbolic summation assists combinatorics.

    Carsten Schneider

  • Iterated binomial sums and their associated iterated integrals

    J. Ablinger;J. Blümlein;Clemens G. Raab;C. Schneider

  • Solving parameterized linear difference equations in terms of indefinite nested sums and products

    Carsten Schneider

  • Simplifying Multiple Sums in Difference Fields

    Carsten Schneider

  • The O(lpha_s^3) Massive Operator Matrix Elements of O(n_f) for the Structure Function F_2(x,Q^2) and Transversity

    J. Ablinger;J. Blümlein;S. Klein;C. Schneider

  • Two-Loop Massive Operator Matrix Elements for Unpolarized Heavy Flavor Production to O(ǫ)

    Isabella Bierenbaum;Johannes Blümlein;Sebastian Klein;Carsten Schneider

  • Calculating three loop ladder and V-topologies for massive operator matrix elements by computer algebra

    J. Ablinger;A. Behring;J. Blümlein;A. De Freitas

  • Computer proofs of a new family of harmonic number identities

    Peter Paule;Carsten Schneider

  • The 3-loop pure singlet heavy flavor contributions to the structure function F2(x,Q2) and the anomalous dimension

    J. Ablinger;A. Behring;J. Blümlein;A. De Freitas

  • Iterated elliptic and hypergeometric integrals for Feynman diagrams

    J. Ablinger;J. Blümlein;A. De Freitas;M. van Hoeij

  • The 3-loop non-singlet heavy flavor contributions and anomalous dimensions for the structure function F2(x,Q2) and transversity

    J. Ablinger;A. Behring;J. Blümlein;A. De Freitas

  • A refined difference field theory for symbolic summation

    Carsten Schneider

  • Parameterized Telescoping Proves Algebraic Independence of Sums

    Carsten Schneider

  • Calculating massive 3-loop graphs for operator matrix elements by the method of hyperlogarithms

    Jakob Ablinger;Johannes Blümlein;Clemens Raab;Carsten Schneider

  • Automated solution of first order factorizable systems of differential equations in one variable

    J. Ablinger;J. Blümlein;P. Marquard;N. Rana

  • The transition matrix element Agq(N) of the variable flavor number scheme at O(αs3)

    J. Ablinger;J. Blümlein;A. De Freitas;A. Hasselhuhn

  • The O(αs3nfTF2CA,F) contributions to the gluonic massive operator matrix elements

    Johannes Blümlein;Alexander Hasselhuhn;Sebastian Klein;Carsten Schneider

  • The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements

    Johannes Blümlein;Peter Marquard;Carsten Schneider;Kay Schönwald

  • Determining the closed forms of the O (a s 3 ) anomalous dimensions and Wilson coefficients from Mellin moments by means of computer algebra

    Johannes Blümlein;Manuel Kauers;Sebastian Klein;Carsten Schneider

Frequent Co-Authors

Helmut Prodinger
Helmut Prodinger Stellenbosch University
Robin Pemantle
Robin Pemantle University of Pennsylvania
Howard M. Weiss
Howard M. Weiss Georgia Institute of Technology
Christian Krattenthaler
Christian Krattenthaler University of Vienna
George E. Andrews
George E. Andrews Pennsylvania State University
Wadim Zudilin
Wadim Zudilin Radboud University

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