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Mathematics

D-Index
40
Citations
6185
World Ranking
2069
National Ranking
878

Overview

Klaus Kirsten is a researcher affiliated with Baylor University in the United States. Their work spans multiple fields within mathematics and physics, primarily focusing on areas intersecting mathematical physics and applied mathematics.

Their research extensively covers topics including:

  • Spectral Theory in Mathematical Physics
  • Numerical methods in inverse problems
  • Advanced Operator Algebra Research
  • Quantum Mechanics and Non-Hermitian Physics
  • Geometric Analysis and Curvature Flows
  • Advanced mathematical theories
  • Algebraic and Geometric Analysis

Kirsten's publication record features numerous contributions to mathematics and physics, with a particular number of papers appearing in frequently targeted venues such as:

  • arXiv (Cornell University)
  • Annals of Global Analysis and Geometry
  • The Scholarship East Carolina University's Institutional Repository (East Carolina University)
  • Analysis and Mathematical Physics
  • Research in the Mathematical Sciences

Among their recent papers are:

  • "The gluing formula, conformal scaling, and geometry," 2021, published in Annals of Global Analysis and Geometry
  • "The Krein-Von Neumann Extension Revisited," 2022, published in The Scholarship East Carolina University's Institutional Repository (East Carolina University)
  • "Casimir pistons with generalized boundary conditions: a step forward," 2021, published in Analysis and Mathematical Physics
  • "Spectral ζ-functions and ζ-regularized functional determinants for regular Sturm-Liouville operators," 2021, published in Research in the Mathematical Sciences
  • "Polyakov formulas for conical singularities in two dimensions," 2020, published in arXiv (Cornell University)

Collaborations form an important component of Kirsten's research activities. Frequent co-authors include:

  • Fritz Gesztesy
  • Yoonweon Lee
  • Guglielmo Fucci
  • Jonathan Stanfill
  • Lance L. Littlejohn

Kirsten's work reflects a consistent engagement with the mathematical foundations underlying physical phenomena, particularly in areas where operator theory, spectral analysis, and geometry intersect. This body of work has contributed to advancing understanding in these interconnected disciplines through both theoretical developments and applications.

Best Publications

  • Spectral functions in mathematics and physics

    Klaus Kirsten

  • Heat kernel coefficients of the Laplace operator on the D‐dimensional ball

    Michael Bordag;E. Elizalde;K. Kirsten

  • Casimir energies for massive scalar fields in a spherical geometry

    M. Bordag;E. Elizalde;E. Elizalde;K. Kirsten;S. Leseduarte

  • Heat-kernels and functional determinants on the generalized cone

    M.Bordag;K.Kirsten;J.S.Dowker

  • Casimir energy for a massive fermionic quantum field with a spherical boundary

    E. Elizalde;Michael Bordag;K. Kirsten

  • Heat-kernels and functional determinants on the generalized cone

    Michael Bordag;Klaus Kirsten;Stuart Dowker

  • Ground state energy for a penetrable sphere and for a dielectric ball

    M. Bordag;K. Kirsten;D. Vassilevich

  • Functional determinants by contour integration methods

    Klaus Kirsten;Klaus Kirsten;Alan J. McKane

  • Casimir energy in the MIT bag model

    E. Elizalde;M. Bordag;K. Kirsten

  • Zeta function determinant of the Laplace operator on the D-dimensional ball

    Michael Bordag;B. Geyer;K. Kirsten;E. Elizalde

  • Massless minimally coupled fields in de Sitter space: O(4)-symmetric states versus de Sitter–invariant vacuum

    Klaus Kirsten;Jaume Garriga

  • Functional determinants for general Sturm–Liouville problems

    Klaus Kirsten;Alan J McKane

  • Condensate Fluctuations in Trapped Bose Gases: Canonical vs. Microcanonical Ensemble

    Martin Holthaus;Martin Holthaus;Eva Kalinowski;Eva Kalinowski;Klaus Kirsten;Klaus Kirsten

  • Pre-inflationary universe in loop quantum cosmology

    Tao Zhu;Anzhong Wang;Gerald Cleaver;Klaus Kirsten

  • Free and self-interacting scalar fields in the presence of conical singularities.

    Guido Cognola;Klaus Kirsten;Luciano Vanzo

  • Heat kernel asymptotics with mixed boundary conditions

    Thomas P. Branson;Peter B. Gilkey;Klaus Kirsten;Dmitri V. Vassilevich

  • Vacuum energy in a spherically symmetric background field.

    Michael Bordag;Klaus Kirsten

  • Casimir energies for spherically symmetric cavities

    Guido Cognola;Emilio Elizalde;Emilio Elizalde;Klaus Kirsten

  • Generalized multidimensional Epstein zeta functions

    Klaus Kirsten

  • Heat trace asymptotics with transmittal boundary conditions and quantum brane-world scenario

    Peter B. Gilkey;Klaus Kirsten;Dmitri V. Vassilevich

Frequent Co-Authors

Peter B. Gilkey
Peter B. Gilkey University of Oregon
Dmitri Vassilevich
Dmitri Vassilevich Universidade Federal do ABC
Fritz Gesztesy
Fritz Gesztesy Baylor University
Alan J. McKane
Alan J. McKane University of Manchester
Gerald V. Dunne
Gerald V. Dunne University of Connecticut
Sergei D. Odintsov
Sergei D. Odintsov Catalan Institution for Research and Advanced Studies
Thomas P. Branson
Thomas P. Branson University of Iowa
Alexander Grigor'yan
Alexander Grigor'yan Bielefeld University

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