Gerald Teschl

5.5k total citations · 1 hit paper
90 papers, 3.0k citations indexed

About

Gerald Teschl is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Computational Theory and Mathematics. According to data from OpenAlex, Gerald Teschl has authored 90 papers receiving a total of 3.0k indexed citations (citations by other indexed papers that have themselves been cited), including 54 papers in Mathematical Physics, 43 papers in Statistical and Nonlinear Physics and 17 papers in Computational Theory and Mathematics. Recurrent topics in Gerald Teschl's work include Spectral Theory in Mathematical Physics (43 papers), Nonlinear Waves and Solitons (29 papers) and Advanced Mathematical Physics Problems (21 papers). Gerald Teschl is often cited by papers focused on Spectral Theory in Mathematical Physics (43 papers), Nonlinear Waves and Solitons (29 papers) and Advanced Mathematical Physics Problems (21 papers). Gerald Teschl collaborates with scholars based in Austria, United States and Ukraine. Gerald Teschl's co-authors include Fritz Gesztesy, Karl Unterkofler, Aleksey Kostenko, Julian King, Paweł Mochalski, Iryna Egorova, Anton Amann, Hartmann Hinterhuber, Anne Boutet de Monvel and Susanne Teschl and has published in prestigious journals such as SHILAP Revista de lepidopterología, Biochemical and Biophysical Research Communications and Journal of Theoretical Biology.

In The Last Decade

Gerald Teschl

84 papers receiving 2.8k citations

Hit Papers

Ordinary Differential Equations and Dynamical Systems 2012 2026 2016 2021 2012 200 400 600
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Ordinary Differential Equations and Dynamical Systems
    2012 606 citations Gerald Teschl profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Gerald Teschl Austria 26 1.2k 1.0k 577 547 480 90 3.0k
F. Alberto Grünbaum United States 29 464 0.4× 574 0.6× 1.1k 1.9× 209 0.4× 713 1.5× 131 2.3k
J. C. Alexander United States 28 588 0.5× 1.2k 1.2× 253 0.4× 224 0.4× 255 0.5× 89 2.9k
Yuan Xu United States 29 722 0.6× 386 0.4× 2.5k 4.3× 323 0.6× 602 1.3× 188 3.9k
Goong Chen United States 34 705 0.6× 950 0.9× 290 0.5× 1.1k 2.1× 872 1.8× 128 3.8k
Владимир Игоревич Арнольд 15 764 0.6× 1.7k 1.6× 244 0.4× 78 0.1× 278 0.6× 59 3.2k
Arno B. J. Kuijlaars Belgium 29 656 0.6× 492 0.5× 1.4k 2.3× 73 0.1× 648 1.4× 102 2.9k
S. P. Novikov Russia 21 823 0.7× 1.7k 1.6× 360 0.6× 92 0.2× 213 0.4× 69 2.8k
J. R. Partington United Kingdom 32 764 0.6× 649 0.6× 953 1.7× 106 0.2× 543 1.1× 245 4.0k
Edward R. Vrscay Canada 24 530 0.4× 509 0.5× 196 0.3× 88 0.2× 240 0.5× 119 2.3k
Shlomo Sternberg United States 26 1.7k 1.5× 1.3k 1.2× 691 1.2× 92 0.2× 299 0.6× 70 3.9k

Countries citing papers authored by Gerald Teschl

Since Specialization
Citations

This map shows the geographic impact of Gerald Teschl's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Gerald Teschl with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Gerald Teschl more than expected).

Fields of papers citing papers by Gerald Teschl

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Gerald Teschl. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Gerald Teschl. The network helps show where Gerald Teschl may publish in the future.

Co-authorship network of co-authors of Gerald Teschl

This figure shows the co-authorship network connecting the top 25 collaborators of Gerald Teschl. A scholar is included among the top collaborators of Gerald Teschl based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Gerald Teschl. Gerald Teschl is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Behrndt, Jussi, et al.. (2024). Perturbation and spectral theory for singular indefinite Sturm–Liouville operators. Journal of Differential Equations. 405. 151–178.
2.
Egorova, Iryna, et al.. (2023). Long-time asymptotics for Toda shock waves in the modulation region. 19(2). 396–442. 1 indexed citations
3.
Shepelsky, Dmitry, et al.. (2022). A Riemann-Hilbert approach to the modified Camassa-Holm equation with step-like boundary conditions. arXiv (Cornell University). 3 indexed citations
4.
Koornwinder, Tom H., Aleksey Kostenko, & Gerald Teschl. (2018). Jacobi polynomials, Bernstein-type inequalities and dispersion estimates for the discrete Laguerre operator. Advances in Mathematics. 333. 796–821. 13 indexed citations
5.
Teschl, Gerald, et al.. (2016). A dynamic uncertainty principle for Jacobi operators. Journal of Mathematical Analysis and Applications. 449(1). 580–588. 1 indexed citations
6.
Szabó, Anna, Karl Unterkofler, Paweł Mochalski, et al.. (2016). Modeling of breath methane concentration profiles during exercise on an ergometer. Journal of Breath Research. 10(1). 17105–17105. 11 indexed citations
7.
Eckhardt, Jonathan, Aleksey Kostenko, & Gerald Teschl. (2015). Spectral asymptotics for canonical systems. Journal für die reine und angewandte Mathematik (Crelles Journal). 2018(736). 285–315. 14 indexed citations
8.
Egorova, Iryna, et al.. (2015). Properties of the scattering matrix and dispersion estimates for Jacobi operators. Journal of Mathematical Analysis and Applications. 434(1). 956–966.
9.
Kopylova, Elena & Gerald Teschl. (2015). Dispersion estimates for one-dimensional discrete Dirac equations. Journal of Mathematical Analysis and Applications. 434(1). 191–208. 4 indexed citations
10.
Teschl, Gerald & Karl Unterkofler. (2013). Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy’s 60th Birthday. arXiv (Cornell University). 10 indexed citations
11.
Eckhardt, Jonathan, et al.. (2012). Weyl-Titchmarsh Theory for Sturm-Liouville Operators with Distributional Coefficients. arXiv (Cornell University). 1 indexed citations
12.
Teschl, Gerald, et al.. (2012). Uniqueness for inverse Sturm–Liouville problems with a finite number of transmission conditions. Journal of Mathematical Analysis and Applications. 395(1). 19–29. 36 indexed citations
13.
King, Julian, Helin Koc, Karl Unterkofler, et al.. (2010). Physiological modeling of isoprene dynamics in exhaled breath. Journal of Theoretical Biology. 267(4). 626–637. 148 indexed citations
14.
Ashbaugh, Mark S., Fritz Gesztesy, Marius Mitrea, & Gerald Teschl. (2009). Spectral theory for perturbed Krein Laplacians in nonsmooth domains. Advances in Mathematics. 223(4). 1372–1467. 31 indexed citations
15.
Teschl, Gerald, et al.. (2007). Relative oscillation theory for Sturm–Liouville operators extended. Journal of Functional Analysis. 254(6). 1702–1720. 26 indexed citations
16.
Egorova, Iryna, et al.. (2006). Inverse scattering transform for the Toda hierarchy with quasi-periodic background. Proceedings of the American Mathematical Society. 135(6). 1817–1827. 11 indexed citations
17.
Luef, Franz & Gerald Teschl. (2001). On the Number of Eigenvalues of Jacobi Operators. arXiv (Cornell University). 1 indexed citations
18.
Teschl, Gerald. (1999). Jacobi Operators and Completely Integrable Nonlinear Lattices. Mathematical surveys and monographs. 363 indexed citations
19.
Gesztesy, Fritz & Gerald Teschl. (1996). Commutation Methods for Jacobi Operators. Journal of Differential Equations. 128(1). 252–299. 21 indexed citations
20.
Teschl, Gerald. (1996). Oscillation Theory and Renormalized Oscillation Theory for Jacobi Operators. Journal of Differential Equations. 129(2). 532–558. 30 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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