World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
40
Citations
6185
World Ranking
2069
National Ranking
879

Klaus Kirsten publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Klaus Kirsten sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 196 publications — 61st percentile

61% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Klaus Kirsten D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Klaus Kirsten sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 40 D-Index — 45th percentile

45% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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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