World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
69
Citations
13401
World Ranking
297
National Ranking
165

Fritz Gesztesy 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 Fritz Gesztesy 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: 469 publications — 96th percentile

96% of scientists in this discipline score the same or lower.

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

Fritz Gesztesy 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 Fritz Gesztesy 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: 69 D-Index — 92nd percentile

92% of scientists in this discipline score the same or lower.

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

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 1987 - Ludwig Boltzmann Prize, Austrian Physical Society
  • Member of the Norwegian Academy of Science and Letters Mathematics
  • Member of the Norwegian Academy of Science and Letters Mathematics
  • Member of the Norwegian Academy of Science and Letters Mathematics
  • Member of the Norwegian Academy of Science and Letters Mathematics

Overview

Fritz Gesztesy is affiliated with Baylor University in the United States and has a research focus rooted primarily in the field of Mathematics, with significant contributions to Mathematical Physics and Applied Mathematics.

The scientist's recent publications reflect a concentration on spectral theory and differential equations, with notable papers including:

  • The Krein-Von Neumann Extension Revisited, 2022, The Scholarship East Carolina University's Institutional Repository (East Carolina University)
  • The generalized Birman-Schwinger principle, 2021, Transactions of the American Mathematical Society
  • A Sequence of Weighted Birman-Hardy-Rellich Inequalities with Logarithmic Refinements, 2022, Integral Equations and Operator Theory
  • On domain properties of Bessel-type operators, 2022, Discrete and Continuous Dynamical Systems - S
  • Donoghue -functions for Singular Sturm-Liouville operators, 2024, St Petersburg Mathematical Journal

Frequent co-authors collaborating with Fritz Gesztesy include:

  • Jonathan Stanfill
  • Michael M. H. Pang
  • Lance L. Littlejohn
  • Roger Nichols
  • Jussi Behrndt

Publications often appear in venues such as:

  • arXiv (Cornell University)
  • Journal of Differential Equations
  • Annals of Functional Analysis
  • Discrete and Continuous Dynamical Systems - S
  • Complex Analysis and Operator Theory

Book publications by Fritz Gesztesy have been issued by a range of academic publishers including American Mathematical Society, Memoirs of the European Mathematical Society, and Springer Nature. Titles include:

  • Sturm-Liouville Operators, Their Spectral Theory, and Some Applications (2024)
  • The Limiting Absorption Principle for Massless Dirac Operators, Properties of Spectral Shift Functions, and an Application to the Witten Index of Non-Fredholm Operators (2023)
  • From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory (2021)

Major areas of study encompass:

  • Mathematical Physics
  • Applied Mathematics
  • Computational Theory and Mathematics
  • Statistical and Nonlinear Physics
  • Atomic and Molecular Physics, and Optics

The main topics of the scientist's work are:

  • Spectral Theory in Mathematical Physics
  • Differential Equations and Boundary Problems
  • Numerical methods in inverse problems
  • Advanced Harmonic Analysis Research
  • Advanced Mathematical Modeling in Engineering
  • Matrix Theory and Algorithms
  • Algebraic and Geometric Analysis

Fritz Gesztesy's recognition includes awards such as the Fellow of the American Mathematical Society (2013), the Ludwig Boltzmann Prize from the Austrian Physical Society (1987), and membership in the Norwegian Academy of Science and Letters in the field of Mathematics.

Best Publications

  • Solvable Models in Quantum Mechanics: Second Edition

    S. Albeverio;F. Gesztesy;R. Høegh-Krohn;H. Holden

  • Soliton Equations and their Algebro-Geometric Solutions

    Fritz Gesztesy;Helge Holden

  • Inverse spectral analysis with partial information on the potential, II. The case of discrete spectrum

    Fritz Gesztesy;Barry Simon

  • On Matrix–Valued Herglotz Functions

    Fritz Gesztesy;Eduard Tsekanovskii

  • Weakly coupled bound states in quantum waveguides

    W. Bulla;F. Gesztesy;W. Renger;B. Simon

  • Weyl-Titchmarsh M-function asymptotics, local uniqueness results, trace formulas, and Borg-type theorems for Dirac operators

    Steve Clark;Fritz Gesztesy

  • On Local Borg-Marchenko Uniqueness Results

    Fritz Gesztesy;Barry Simon

  • A new approach to inverse spectral theory, II. General real potentials and the connection to the spectral measure

    Fritz Gesztesy;Barry Simon

  • ONE-DIMENSIONAL SCHRODINGER OPERATORS WITH INTERACTIONS SINGULAR ON A DISCRETE SET

    F. Gesztesy;W. Kirsch

  • An Alternative Approach to Algebro-Geometric Solutions of the AKNS Hierarchy

    F. Gesztesy;R. Ratnaseelan

  • m-Functions and inverse spectral analysis for finite and semi-infinite Jacobi matrices

    Fritz Gesztesy;Barry Simon

  • Exactly solvable models of sphere interactions in quantum mechanics

    Jean-Pierre Antoine;F. Gesztesy;Juma Shabani

  • Generalized Robin Boundary Conditions, Robin-to-Dirichlet Maps, and Krein-Type Resolvent Formulas for Schrödinger Operators on Bounded Lipschitz Domains

    Fritz Gesztesy;Marius Mitrea

  • Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials

    Jonathan Eckhardt;Fritz Gesztesy;Roger Nichols;Gerald Teschl

  • Deficiency indices and singular boundary conditions in quantum mechanics

    W. Bulla;F. Gesztesy

  • On spectral theory for Schrödinger operators with strongly singular potentials

    Fritz Gesztesy;Maxim Zinchenko

  • Algebro-Geometric Solutions of the Camassa-Holm hierarchy

    Fritz Gesztesy;Helge Holden

  • A complete spectral characterization of the double commutation method

    F. Gesztesy

  • The xi function

    Fritz Gesztesy;Barry Simon

  • Witten index, axial anomaly, and Krein's spectral shift function in supersymmetric quantum mechanics

    Désiré Bollé;F Gesztesy;H Grosse;W Schweiger

  • Soliton Equations and Their Algebro-Geometric Solutions: Bibliography

    Fritz Gesztesy;Helge Holden

Frequent Co-Authors

Helge Holden
Helge Holden Norwegian University of Science and Technology
Gerald Teschl
Gerald Teschl University of Vienna
Gilles Godefroy
Gilles Godefroy Institut de Mathématiques de Jussieu
Loukas Grafakos
Loukas Grafakos University of Missouri
Barry Simon
Barry Simon California Institute of Technology
Marius Mitrea
Marius Mitrea Baylor University
Fedor Sukochev
Fedor Sukochev University of New South Wales
Alan L. Carey
Alan L. Carey Australian National University
Sergio Albeverio
Sergio Albeverio University of Bonn
Harald Grosse
Harald Grosse University of Vienna

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For Mathematics graduates looking to diversify their skills, pursuing related online degrees can open up exciting career opportunities. Many professionals consider advanced business degrees, such as an MBA, to complement their analytical expertise. If time is a constraint, exploring the quickest online MBA degree programs can be a practical choice to accelerate career growth.

Cost is often a key consideration when selecting a program. Students seeking affordable options might review the online masters in finance or look into the dba programs online to find budget-friendly yet reputable courses. These degrees combine well with a mathematics background, preparing graduates for roles in finance, consulting, and business analytics.

For those interested in balancing rigorous academics with flexibility, the easiest MBA programs offer a less intensive approach to gaining managerial skills without compromising quality.

Ultimately, choosing the right program depends on career goals, time availability, and financial resources. Exploring these related online degrees can help mathematics professionals transition smoothly into diverse leadership and specialized fields.

Best Scientists Citing Fritz Gesztesy

Trending Scientists

Recently Published Articles