Man-Duen Choi

6.2k total citations · 1 hit paper
47 papers, 3.5k citations indexed

About

Man-Duen Choi is a scholar working on Computational Theory and Mathematics, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Man-Duen Choi has authored 47 papers receiving a total of 3.5k indexed citations (citations by other indexed papers that have themselves been cited), including 26 papers in Computational Theory and Mathematics, 24 papers in Mathematical Physics and 21 papers in Algebra and Number Theory. Recurrent topics in Man-Duen Choi's work include Advanced Topics in Algebra (20 papers), Matrix Theory and Algorithms (20 papers) and Advanced Operator Algebra Research (17 papers). Man-Duen Choi is often cited by papers focused on Advanced Topics in Algebra (20 papers), Matrix Theory and Algorithms (20 papers) and Advanced Operator Algebra Research (17 papers). Man-Duen Choi collaborates with scholars based in Canada, United States and Taiwan. Man-Duen Choi's co-authors include Edward G. Effros, David W. Kribs, T. Y. Lam, Karol Życzkowski, George A. Elliott, Noriko Yui, Chi-Kwong Li, John Holbrook, Pei Yuan Wu and Erik Christensen and has published in prestigious journals such as Physical Review Letters, Annals of Mathematics and Journal of Mathematical Analysis and Applications.

In The Last Decade

Man-Duen Choi

46 papers receiving 3.1k citations

Hit Papers

Completely positive linear maps on complex matrices 1975 2026 1992 2009 1975 500 1000 1.5k
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. Completely positive linear maps on complex matrices
    1975 1.6k citations Man-Duen Choi Linear Algebra and its Applications profile →

Peers

Man-Duen Choi
Fumio Hiai Japan
V. S. Varadarajan United States
Vern I. Paulsen United States
Stanley Gudder United States
Dėnes Petz Hungary
Eric M. Rains United States
Erling Størmer Norway
Andrzej Schinzel Poland
S. L. Woronowicz Poland
Richard V. Kadison United States
Fumio Hiai Japan
Man-Duen Choi
Citations per year, relative to Man-Duen Choi Man-Duen Choi (= 1×) peers Fumio Hiai

Countries citing papers authored by Man-Duen Choi

Since Specialization
Citations

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

Fields of papers citing papers by Man-Duen Choi

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Man-Duen Choi. 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 Man-Duen Choi. The network helps show where Man-Duen Choi may publish in the future.

Co-authorship network of co-authors of Man-Duen Choi

This figure shows the co-authorship network connecting the top 25 collaborators of Man-Duen Choi. A scholar is included among the top collaborators of Man-Duen Choi 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 Man-Duen Choi. Man-Duen Choi 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.
Choi, Man-Duen & Pei Yuan Wu. (2014). Sums of orthogonal projections. Journal of Functional Analysis. 267(2). 384–404. 8 indexed citations
2.
Choi, Man-Duen & Frédéric Latrémolière. (2011). Symmetry in the Cuntz algebra on two generators. Journal of Mathematical Analysis and Applications. 387(2). 1050–1060. 4 indexed citations
3.
Puchała, Zbigniew, et al.. (2010). Product numerical range in a space with tensor product structure. Linear Algebra and its Applications. 434(1). 327–342. 19 indexed citations
4.
Gawron, Piotr, et al.. (2009). Local numerical range: a versatile tool in the theory of quantum information. arXiv (Cornell University). 3 indexed citations
5.
Choi, Man-Duen, et al.. (2007). Geometry of higher-rank numerical ranges. Linear and Multilinear Algebra. 56(1-2). 53–64. 26 indexed citations
6.
Choi, Man-Duen, David W. Kribs, & Karol Życzkowski. (2006). Higher-rank numerical ranges and compression problems. Linear Algebra and its Applications. 418(2-3). 828–839. 54 indexed citations
7.
Choi, Man-Duen & David W. Kribs. (2006). Method to Find Quantum Noiseless Subsystems. Physical Review Letters. 96(5). 50501–50501. 41 indexed citations
8.
Choi, Man-Duen, Chi-Kwong Li, & Yiu‐Tung Poon. (2003). Some Convexity Features Associated with Unitary Orbits. Canadian Journal of Mathematics. 55(1). 91–111. 3 indexed citations
9.
Choi, Man-Duen & Chi-Kwong Li. (2003). Norm bounds for summation of two normal matrices. Linear Algebra and its Applications. 379. 137–157. 3 indexed citations
10.
Choi, Man-Duen, Jinchuan Hou, & Peter Rosenthal. (1997). Completion of operator partial matrices to square-zero contractions. Linear Algebra and its Applications. 256. 1–30. 1 indexed citations
11.
Choi, Man-Duen & Peter Rosenthal. (1994). A survey of Chandler Davis. Linear Algebra and its Applications. 208-209. 3–18. 1 indexed citations
12.
Choi, Man-Duen, Mary Beth Ruskai, & E. Seneta. (1994). Equivalence of certain entropy contraction coefficients. Linear Algebra and its Applications. 208-209. 29–36. 14 indexed citations
13.
Choi, Man-Duen. (1983). Tricks or Treats with the Hilbert Matrix. American Mathematical Monthly. 90(5). 301–301. 43 indexed citations
14.
Choi, Man-Duen. (1979). A Simple C*-Algebra Generated by Two Finite-Order Unitaries. Canadian Journal of Mathematics. 31(4). 867–880. 50 indexed citations
15.
Choi, Man-Duen & Edward G. Effros. (1977). Injectivity and operator spaces. Journal of Functional Analysis. 24(2). 156–209. 264 indexed citations
16.
Choi, Man-Duen & Edward G. Effros. (1977). . Indiana University Mathematics Journal. 26(3). 443–443. 40 indexed citations
17.
Choi, Man-Duen. (1975). Positive semidefinite biquadratic forms. Linear Algebra and its Applications. 12(2). 95–100. 157 indexed citations
18.
Choi, Man-Duen. (1975). Completely positive linear maps on complex matrices. Linear Algebra and its Applications. 10(3). 285–290. 1553 indexed citations breakdown →
19.
Choi, Man-Duen. (1973). Adjunction and Inversion of Invertible Hilbert-Space Operators. Indiana University Mathematics Journal. 23(5). 413–419. 5 indexed citations
20.
Choi, Man-Duen. (1972). Positive Linear Maps on C*-Algebras. Canadian Journal of Mathematics. 24(3). 520–529. 156 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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