Karl Michael Schmidt

1.1k total citations
56 papers, 697 citations indexed

About

Karl Michael Schmidt is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Applied Mathematics. According to data from OpenAlex, Karl Michael Schmidt has authored 56 papers receiving a total of 697 indexed citations (citations by other indexed papers that have themselves been cited), including 33 papers in Mathematical Physics, 17 papers in Computational Theory and Mathematics and 15 papers in Applied Mathematics. Recurrent topics in Karl Michael Schmidt's work include Spectral Theory in Mathematical Physics (31 papers), Genetic Associations and Epidemiology (12 papers) and Matrix Theory and Algorithms (11 papers). Karl Michael Schmidt is often cited by papers focused on Spectral Theory in Mathematical Physics (31 papers), Genetic Associations and Epidemiology (12 papers) and Matrix Theory and Algorithms (11 papers). Karl Michael Schmidt collaborates with scholars based in United Kingdom, Germany and Japan. Karl Michael Schmidt's co-authors include Valentina Moskvina, Peter Holmans, Nick Craddock, Valentina Escott‐Price, B. M. Brown, Michael O’Donovan, Emily Baker, Shatha Monaquel, Michael J. Owen and Pierre Kerfriden and has published in prestigious journals such as PLoS ONE, Biometrics and Communications in Mathematical Physics.

In The Last Decade

Karl Michael Schmidt

52 papers receiving 667 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Karl Michael Schmidt United Kingdom 14 222 183 150 122 96 56 697
Wentao Huang China 16 29 0.1× 112 0.6× 69 0.5× 53 0.4× 41 0.4× 125 1.1k
John G. Ratcliffe United States 18 38 0.2× 532 2.9× 199 1.3× 324 2.7× 174 1.8× 62 1.6k
Gregory D. Lyng United States 14 48 0.2× 82 0.4× 68 0.5× 113 0.9× 6 0.1× 26 683
Weijiu Liu United States 15 34 0.2× 322 1.8× 80 0.5× 57 0.5× 499 5.2× 49 1.1k
Kanji Abe Japan 13 27 0.1× 49 0.3× 24 0.2× 32 0.3× 27 0.3× 41 462
D. B. Pearson United Kingdom 16 9 0.0× 542 3.0× 223 1.5× 178 1.5× 238 2.5× 53 1.1k
Shangbin Cui China 25 74 0.3× 483 2.6× 230 1.5× 711 5.8× 656 6.8× 136 2.1k
Raffaele D’Ambrosio Italy 23 14 0.1× 75 0.4× 82 0.5× 67 0.5× 386 4.0× 111 1.5k

Countries citing papers authored by Karl Michael Schmidt

Since Specialization
Citations

This map shows the geographic impact of Karl Michael Schmidt'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 Karl Michael Schmidt with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Karl Michael Schmidt more than expected).

Fields of papers citing papers by Karl Michael Schmidt

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Karl Michael Schmidt. 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 Karl Michael Schmidt. The network helps show where Karl Michael Schmidt may publish in the future.

Co-authorship network of co-authors of Karl Michael Schmidt

This figure shows the co-authorship network connecting the top 25 collaborators of Karl Michael Schmidt. A scholar is included among the top collaborators of Karl Michael Schmidt 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 Karl Michael Schmidt. Karl Michael Schmidt 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.
Baker, Emily, Ganna Leonenko, Karl Michael Schmidt, et al.. (2023). What does heritability of Alzheimer’s disease represent?. PLoS ONE. 18(4). e0281440–e0281440. 22 indexed citations
2.
Escott‐Price, Valentina & Karl Michael Schmidt. (2023). Pitfalls of predicting age‐related traits by polygenic risk scores. Annals of Human Genetics. 87(5). 203–209. 5 indexed citations
3.
Schmidt, Karl Michael, et al.. (2022). On the sum of left and right circulant matrices. Linear Algebra and its Applications. 658. 62–85.
4.
Escott‐Price, Valentina & Karl Michael Schmidt. (2021). Probability of Alzheimer’s disease based on common and rare genetic variants. Alzheimer s Research & Therapy. 13(1). 140–140. 10 indexed citations
5.
Escott‐Price, Valentina & Karl Michael Schmidt. (2020). Challenges of Adjusting Single-Nucleotide Polymorphism Effect Sizes for Linkage Disequilibrium. Human Heredity. 85(1). 24–34. 3 indexed citations
6.
Baker, Emily, Karl Michael Schmidt, Rebecca Sims, et al.. (2018). POLARIS: Polygenic LD‐adjusted risk score approach for set‐based analysis of GWAS data. Genetic Epidemiology. 42(4). 366–377. 18 indexed citations
7.
Schmidt, Karl Michael, et al.. (2018). Extension of the Schoenberg theorem to integrally conditionally positive definite functions. Journal of Mathematical Analysis and Applications. 470(1). 659–678. 1 indexed citations
8.
Escott‐Price, Valentina, Maryam Ghodsi, & Karl Michael Schmidt. (2013). How allele frequency and study design affect association test statistics with misrepresentation errors. Biostatistics. 15(2). 311–326. 3 indexed citations
9.
Moskvina, Valentina, Karl Michael Schmidt, Alexey Vedernikov, et al.. (2012). Permutation-based approaches do not adequately allow for linkage disequilibrium in gene-wide multi-locus association analysis. European Journal of Human Genetics. 20(8). 890–896. 18 indexed citations
10.
Monaquel, Shatha & Karl Michael Schmidt. (2006). On M-functions and operator theory for non-self-adjoint discrete Hamiltonian systems. Journal of Computational and Applied Mathematics. 208(1). 82–101. 12 indexed citations
11.
Moskvina, Valentina & Karl Michael Schmidt. (2006). Individual SNP Allele Reconstruction from Informative Markers Selected by a Non-Linear Gauss-Type Algorithm. Human Heredity. 62(2). 97–106. 3 indexed citations
12.
Moskvina, Valentina & Karl Michael Schmidt. (2006). Susceptibility of Biallelic Haplotype and Genotype Frequencies to Genotyping Error. Biometrics. 62(4). 1116–1123. 13 indexed citations
13.
Schmidt, Karl Michael. (2005). Exceptional coupling constants for the Coulomb–Dirac operator with anomalous magnetic moment. Journal of Computational and Applied Mathematics. 194(1). 17–25.
14.
Kalf, Hubert & Karl Michael Schmidt. (2004). Spectral stability of the Coulomb–Dirac Hamiltonian with anomalous magnetic moment. Journal of Differential Equations. 205(2). 408–423. 1 indexed citations
15.
Schmidt, Karl Michael. (2004). On the integrability of differential equations by quadratures according to Maximovič. Journal of Computational and Applied Mathematics. 171(1-2). 393–410. 2 indexed citations
16.
Schmidt, Karl Michael. (2002). Eigenvalues in gaps of perturbed periodic Dirac operators: numerical evidence. Journal of Computational and Applied Mathematics. 148(1). 169–181. 1 indexed citations
17.
Schmidt, Karl Michael. (2002). Eigenvalue asymptotics of perturbed periodic Dirac systems in the slow-decay limit. Proceedings of the American Mathematical Society. 131(4). 1205–1214. 3 indexed citations
18.
Schmidt, Karl Michael. (2001). An Application of Gesztesy–Simon–Teschl Oscillation Theory to a Problem in Differential Geometry. Journal of Mathematical Analysis and Applications. 261(1). 61–71. 3 indexed citations
19.
Brown, B. M., et al.. (1998). Welsh Eigenvalues of Radially Periodic Schrödinger Operators. Journal of Mathematical Analysis and Applications. 225(1). 347–357. 2 indexed citations
20.
Schmidt, Karl Michael. (1993). On the genericity of nonvanishing instability intervals in periodic Dirac systems. ORCA Online Research @Cardiff. 59(3). 315–326. 3 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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