Mark Shattuck

784 total citations
121 papers, 443 citations indexed

About

Mark Shattuck is a scholar working on Discrete Mathematics and Combinatorics, Algebra and Number Theory and Artificial Intelligence. According to data from OpenAlex, Mark Shattuck has authored 121 papers receiving a total of 443 indexed citations (citations by other indexed papers that have themselves been cited), including 102 papers in Discrete Mathematics and Combinatorics, 69 papers in Algebra and Number Theory and 37 papers in Artificial Intelligence. Recurrent topics in Mark Shattuck's work include Advanced Combinatorial Mathematics (102 papers), Advanced Mathematical Identities (66 papers) and Advanced Mathematical Theories and Applications (26 papers). Mark Shattuck is often cited by papers focused on Advanced Combinatorial Mathematics (102 papers), Advanced Mathematical Identities (66 papers) and Advanced Mathematical Theories and Applications (26 papers). Mark Shattuck collaborates with scholars based in United States, Israel and Vietnam. Mark Shattuck's co-authors include Toufik Mansour, Carl Wagner, Matthias Schork, Jósé L. Ramírez, Arthur T. Benjamin, David Callan, S. B. Mulay, Stephan Wagner, Vít Jelínek and John G. Georgiadis and has published in prestigious journals such as SHILAP Revista de lepidopterología, Applied Mathematics and Computation and Linear Algebra and its Applications.

In The Last Decade

Mark Shattuck

100 papers receiving 400 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Mark Shattuck United States 10 351 264 128 101 87 121 443
Yong-Gao Chen China 13 358 1.0× 350 1.3× 169 1.3× 66 0.7× 28 0.3× 155 628
Jósé L. Ramírez Colombia 10 186 0.5× 176 0.7× 61 0.5× 23 0.2× 172 2.0× 79 359
Pieter Moree Germany 11 118 0.3× 362 1.4× 61 0.5× 131 1.3× 41 0.5× 87 500
Nicholas A. Loehr United States 12 523 1.5× 314 1.2× 60 0.5× 65 0.6× 36 0.4× 51 601
Christopher Pinner United States 11 92 0.3× 151 0.6× 69 0.5× 78 0.8× 17 0.2× 38 306
Emanuele Munarini Italy 9 147 0.4× 69 0.3× 117 0.9× 37 0.4× 93 1.1× 45 301
Kevin Ford United States 12 205 0.6× 422 1.6× 41 0.3× 79 0.8× 25 0.3× 60 519
Gregory A. Freiman Israel 12 266 0.8× 103 0.4× 145 1.1× 62 0.6× 12 0.1× 51 448
Jonathan I. Hall United States 15 350 1.0× 193 0.7× 102 0.8× 153 1.5× 40 0.5× 62 604
Richard Scoville United States 12 217 0.6× 168 0.6× 111 0.9× 92 0.9× 40 0.5× 34 417

Countries citing papers authored by Mark Shattuck

Since Specialization
Citations

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

Fields of papers citing papers by Mark Shattuck

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Mark Shattuck. 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 Mark Shattuck. The network helps show where Mark Shattuck may publish in the future.

Co-authorship network of co-authors of Mark Shattuck

This figure shows the co-authorship network connecting the top 25 collaborators of Mark Shattuck. A scholar is included among the top collaborators of Mark Shattuck 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 Mark Shattuck. Mark Shattuck 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.
Shattuck, Mark, et al.. (2020). Determinant identities for toeplitz-hessenberg matrices with tribonacci entries. SHILAP Revista de lepidopterología. 2 indexed citations
2.
Ramírez, Jósé L., et al.. (2019). Some New Restricted n-Color Composition Functions.. 22. 2 indexed citations
3.
Callan, David, Toufik Mansour, & Mark Shattuck. (2019). Enumeration of permutations avoiding a triple of 4-letter patterns is almost all done. Pure mathematics and applications. 28(1). 14–69.
4.
Mansour, Toufik & Mark Shattuck. (2018). Combinatorial parameters on bargraphs of permutations. SHILAP Revista de lepidopterología. 4 indexed citations
5.
Callan, David, Toufik Mansour, & Mark Shattuck. (2017). Wilf classification of triples of 4-letter patterns I. SHILAP Revista de lepidopterología. 5 indexed citations
6.
Shattuck, Mark. (2017). Identities for Generalized Whitney and Stirling Numbers.. 20. 1 indexed citations
7.
Bosenberg, Marcus, et al.. (2016). Modeling the Spatiotemporal Evolution of the Melanoma Tumor Microenvironment. Bulletin of the American Physical Society. 2016. 1 indexed citations
8.
Mulay, S. B., John J. Quinn, & Mark Shattuck. (2016). A Generalized Polynomial Identity Arising from Quantum Mechanics. Applications and Applied Mathematics: An International Journal (AAM). 11(2). 5.
9.
Ramírez, Jósé L. & Mark Shattuck. (2016). A (p, q)-Analogue of the r-Whitney-Lah Numbers.. 19. 5 indexed citations
10.
Bosenberg, Marcus, et al.. (2015). Computational modeling of the spatiotemporal dynamics of cancer stem cells. Bulletin of the American Physical Society. 2015. 1 indexed citations
11.
Shattuck, Mark. (2015). Combinatorial proofs of some Stirling number formulas. Pure mathematics and applications. 25(1). 107–113. 1 indexed citations
12.
Callan, David, Toufik Mansour, & Mark Shattuck. (2015). Some identities for derangement and Ward number sequences and related bijections. Pure mathematics and applications. 25(2). 132–143. 1 indexed citations
13.
Callan, David, Toufik Mansour, & Mark Shattuck. (2014). Restricted ascent sequences and Catalan numbers. Digital Object Identifier (DOI) Repository Serbia (National Library of Serbia). 3 indexed citations
14.
Mansour, Toufik, et al.. (2013). Recurrence relations for patterns of type (2,1) in flattened permutations. The Journal of Difference Equations and Applications. 20(1). 58–83. 2 indexed citations
15.
Mansour, Toufik & Mark Shattuck. (2012). Generalizations of Two Statistics on Linear Tilings. Applications and Applied Mathematics: An International Journal (AAM). 7(2). 3.
16.
Mansour, Toufik & Mark Shattuck. (2012). Set partitions as geometric words.. Australas. J Comb.. 53. 31–40. 4 indexed citations
17.
Jelínek, Vít, Toufik Mansour, & Mark Shattuck. (2012). On multiple pattern avoiding set partitions. Advances in Applied Mathematics. 50(2). 292–326. 6 indexed citations
18.
Mansour, Toufik & Mark Shattuck. (2011). Pattern Avoiding Partitions, Sequence A054391 and the Kernel Method. Applications and Applied Mathematics: An International Journal (AAM). 6(2). 1. 4 indexed citations
19.
Shattuck, Mark. (2009). Recounting Relations for Set Partitions with Restrictions.. Ars Combinatoria. 91. 4 indexed citations
20.
Shattuck, Mark & Carl Wagner. (2007). Some Generalized Fibonacci Polynomials. Journal of integer sequences. 10(5). 53. 6 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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