World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
31
Citations
7345
World Ranking
3272
National Ranking
198

Albrecht Böttcher 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 Albrecht Böttcher 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: 264 publications — 80th percentile

80% of scientists in this discipline score the same or lower.

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

Albrecht Böttcher 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 Albrecht Böttcher 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: 31 D-Index — 9th percentile

9% of scientists in this discipline score the same or lower.

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

Overview

Albrecht Böttcher is affiliated with Chemnitz University of Technology in Germany. Their research spans significant areas within mathematics and computer science, with focused contributions in applied mathematics, computational theory, and mathematical physics.

Their scholarly output includes recent papers such as Eigenvalue Clusters of Large Tetradiagonal Toeplitz Matrices (2021, Integral Equations and Operator Theory), Weighted means of B-splines, positivity of divided differences, and complete homogeneous symmetric polynomials (2020, Linear Algebra and its Applications), Asymptotic Eigenvalue Expansions for Toeplitz Matrices with Certain Fisher-Hartwig Symbols (2023, Journal of Mathematical Sciences), and Core invertibility of operators from the algebra generated by two orthogonal projections (2023, Acta Scientiarum Mathematicarum). Additional work includes Harold Widom's work in Toeplitz operators (2022, Bulletin of the American Mathematical Society).

Albrecht Böttcher's research frequently intersects with collaborators such as Estelle Basor, Torsten Ehrhardt, Ilya M. Spitkovsky, Sergei M. Grudsky, and Craig A. Tracy.

Their publications appear regularly in various mathematical journals, including:

  • Acta Scientiarum Mathematicarum
  • Linear Algebra and its Applications
  • Journal of Mathematical Sciences
  • Integral Equations and Operator Theory
  • Bulletin of the American Mathematical Society

They have contributed to the literature through a book titled Toeplitz Operators and Random Matrices, published by Springer Nature in 2022.

The main fields of study for Albrecht Böttcher include:

  • Mathematics
  • Computer Science

Within these fields, subfields of particular focus are:

  • Applied Mathematics
  • Computational Theory and Mathematics
  • Mathematical Physics
  • Statistics and Probability
  • Discrete Mathematics and Combinatorics

The primary topics of their research work include:

  • Matrix Theory and Algorithms
  • Holomorphic and Operator Theory
  • Random Matrices and Applications
  • Mathematical functions and polynomials
  • Spectral Theory in Mathematical Physics
  • Advanced Algebra and Geometry
  • Mathematical Analysis and Transform Methods

Best Publications

  • Analysis of Toeplitz Operators

    Albrecht Böttcher;Bernd Silbermann

  • Introduction to Large Truncated Toeplitz Matrices

    Albrecht Böttcher;Bernd Silbermann

  • Spectral Properties of Banded Toeplitz Matrices

    Albrecht Bottcher;Sergei M. Grudsky

  • Carleson Curves, Muckenhoupt Weights, and Toeplitz Operators

    Albrecht Böttcher;Yuri I. Karlovich

  • Analysis of Toeplitz Operators

    Unknown

  • Convolution Operators and Factorization of Almost Periodic Matrix Functions

    Albrecht Böttcher;Yuri I. Karlovich;Ilya M. Spitkovskiĭ

  • Toeplitz Matrices, Asymptotic Linear Algebra, and Functional Analysis

    Albrecht Böttcher;Sergei M. Grudsky

  • Analysis of Toeplitz Operators (Springer Monographs in Mathematics)

    Albrecht Böttcher;Bernd Silbermann;A. Y. Karlovich

  • A gentle guide to the basics of two projections theory

    A. Böttcher;I.M. Spitkovsky

  • The Frobenius norm and the commutator

    Albrecht Böttcher;David Wenzel

  • Pseudospectra and Singular Values of Large Convolution Operators

    Albrecht Böttcher

  • Invertibility and asymptotics of Toeplitz matrices

    Albrecht Böttcher;Bernd Silbermann

  • Analysis of Toeplitz Operators

    Unknown

  • On the condition numbers of large semidefinite Toeplitz matrices

    Albrecht Böttcher;Sergei M. Grudsky

  • How big can the commutator of two matrices be and how big is it typically

    Albrecht Böttcher;David Wenzel

  • Toeplitz matrices and determinants with Fisher-Hartwig symbols

    Albrecht Böttcher;Bernd Silbermann

  • Toeplitz Operators and Determinants Generated by Symbols with One Fisher‐Hartwig Singularity

    Albrecht Böttcher;Bernd Silbermann

  • The method of limit operators for one-dimensional singular integrals with slowly oscillating data

    A. Böttcher;Yu I. Karlovich;Vladimir Rabinovitch

  • Szegö via Jacobi

    Albrecht Böttcher;Harold Widom

  • Norms of Inverses, Spectra, and Pseudospectra of Large Truncated Wiener-Hopf Operators and Toeplitz Matrices

    A. Böttcher;S. M. Grudsky;B. Silbermann

  • Convergence rates for Tikhonov regularization from different kinds of smoothness conditions

    Albrecht Böttcher;Bernd Hofmann;Ulrich Tautenhahn;Masahiro Yamamoto

  • Weighted norm inequalities

    Albrecht Böttcher;Yuri I. Karlovich

  • Notes on the asymptotic behavior of block TOEPLITZ matrices and determinants

    Albrecht Böttcher;Bernd Silbermann

Frequent Co-Authors

Bernd Silbermann
Bernd Silbermann Chemnitz University of Technology
Israel Gohberg
Israel Gohberg Tel Aviv University
Harold Widom
Harold Widom University of California, Santa Cruz
Arieh Iserles
Arieh Iserles University of Cambridge
Marinus A. Kaashoek
Marinus A. Kaashoek Vrije Universiteit Amsterdam
Stefano Serra-Capizzano
Stefano Serra-Capizzano University of Insubria
Daniel Potts
Daniel Potts Chemnitz University of Technology
Dario Andrea Bini
Dario Andrea Bini University of Pisa
Deanna Needell
Deanna Needell University of California, Los Angeles
Barry Simon
Barry Simon California Institute of Technology

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