Michael Monagan

2.8k total citations · 1 hit paper
75 papers, 1.6k citations indexed

About

Michael Monagan is a scholar working on Computational Theory and Mathematics, Artificial Intelligence and Information Systems. According to data from OpenAlex, Michael Monagan has authored 75 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 48 papers in Computational Theory and Mathematics, 30 papers in Artificial Intelligence and 21 papers in Information Systems. Recurrent topics in Michael Monagan's work include Polynomial and algebraic computation (43 papers), Coding theory and cryptography (24 papers) and Cryptography and Residue Arithmetic (20 papers). Michael Monagan is often cited by papers focused on Polynomial and algebraic computation (43 papers), Coding theory and cryptography (24 papers) and Cryptography and Residue Arithmetic (20 papers). Michael Monagan collaborates with scholars based in Canada, United States and Switzerland. Michael Monagan's co-authors include K. O. Geddes, Gastón H. Gonnet, Bruce W. Char, Benton Leong, Stephen M. Watt, K. M. Heal, George Labahn, Andrew Granville, James F. Bartram and T Scott and has published in prestigious journals such as Physical Review Letters, Journal of Computational Physics and The Journal of the Acoustical Society of America.

In The Last Decade

Michael Monagan

70 papers receiving 1.4k citations

Hit Papers

Maple V Language Reference Manual 1991 2026 2002 2014 1991 100 200 300 400
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. Maple V Language Reference Manual
    1991 487 citations Bruce W. Char, K. O. Geddes et al. profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Michael Monagan Canada 16 517 297 161 161 156 75 1.6k
K. O. Geddes Canada 15 620 1.2× 309 1.0× 178 1.1× 210 1.3× 156 1.0× 47 1.9k
Bruce W. Char United States 13 299 0.6× 196 0.7× 119 0.7× 119 0.7× 79 0.5× 45 1.3k
George Labahn Canada 25 1.0k 2.0× 532 1.8× 98 0.6× 218 1.4× 185 1.2× 94 2.1k
Benton Leong Canada 8 298 0.6× 237 0.8× 107 0.7× 106 0.7× 74 0.5× 10 1.1k
James McKee United Kingdom 11 463 0.9× 233 0.8× 63 0.4× 245 1.5× 159 1.0× 32 1.2k
Joel Franklin United States 19 464 0.9× 325 1.1× 251 1.6× 215 1.3× 152 1.0× 70 2.8k
Oren Patashnik United States 7 664 1.3× 656 2.2× 248 1.5× 77 0.5× 266 1.7× 11 2.5k
Steven Roman United States 18 442 0.9× 309 1.0× 297 1.8× 65 0.4× 332 2.1× 41 2.0k
Ilse C. F. Ipsen United States 27 1.0k 2.0× 204 0.7× 217 1.3× 354 2.2× 69 0.4× 83 1.9k
Hans Sagan United States 12 335 0.6× 139 0.5× 144 0.9× 258 1.6× 85 0.5× 32 1.9k

Countries citing papers authored by Michael Monagan

Since Specialization
Citations

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

Fields of papers citing papers by Michael Monagan

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Michael Monagan

This figure shows the co-authorship network connecting the top 25 collaborators of Michael Monagan. A scholar is included among the top collaborators of Michael Monagan 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 Michael Monagan. Michael Monagan 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.
Chen, Tian & Michael Monagan. (2022). Factoring Multivariate Polynomials Represented by Black Boxes: A Maple + C Implementation. Mathematics in Computer Science. 16(2-3). 1 indexed citations
2.
Hoeven, Joris van der & Michael Monagan. (2020). Computing one billion roots using the tangent Graeffe method. ACM communications in computer algebra. 54(3). 65–85.
3.
Monagan, Michael, et al.. (2020). A fast parallel sparse polynomial GCD algorithm. Journal of Symbolic Computation. 105. 28–63. 1 indexed citations
4.
Monagan, Michael, et al.. (2019). New bivariate Hensel lifting algorithm for n factors. ACM communications in computer algebra. 53(3). 142–145.
5.
6.
Monagan, Michael, et al.. (2014). A parallel algorithm to compute the greatest common divisor of sparse multivariate polynomials. ACM communications in computer algebra. 47(3/4). 108–109. 1 indexed citations
7.
Monagan, Michael, et al.. (2010). Sparse polynomial division using a heap. Journal of Symbolic Computation. 46(7). 807–822. 13 indexed citations
8.
Chen, Liang & Michael Monagan. (2010). Algorithms for solving linear systems over cyclotomic fields. Journal of Symbolic Computation. 45(9). 902–917. 2 indexed citations
9.
Ogilvie, J. F. & Michael Monagan. (2007). Teaching Mathematics to Chemistry Students with Symbolic Computation. Journal of Chemical Education. 84(5). 889–889. 10 indexed citations
10.
Monagan, Michael, et al.. (2006). Rational simplification modulo a polynomial ideal. 239–245. 9 indexed citations
11.
Monagan, Michael, et al.. (2005). Algorithms for the non-monic case of the sparse modular GCD algorithm. 124–131. 18 indexed citations
12.
Monagan, Michael, et al.. (2003). Maple 9 Advanced Programming Guide. 42 indexed citations
13.
Monagan, Michael, et al.. (1998). Computing univariate GCDs over number fields. Symposium on Discrete Algorithms. 42–49. 1 indexed citations
14.
Corless, Robert M., David J. Jeffrey, Michael Monagan, & N.A. Pratibha. (1997). Two Perturbation Calculations in Fluid Mechanics using Large-expression Management. Journal of Symbolic Computation. 23(4). 427–443. 9 indexed citations
15.
Monagan, Michael, et al.. (1995). Maple V Programming Guide. 3 indexed citations
16.
Monagan, Michael & Gastón H. Gonnet. (1994). Signature functions for algebraic numbers. 291–296. 4 indexed citations
17.
Monagan, Michael. (1989). Special Music by Special Kids.. Educational leadership. 46(6). 20. 3 indexed citations
18.
Granville, Andrew & Michael Monagan. (1988). The First Case of Fermat's Last Theorem is True for all Prime Exponents up to 714,591,416,091,389. Transactions of the American Mathematical Society. 306(1). 329–329. 12 indexed citations
19.
Moore, R. A., T Scott, & Michael Monagan. (1987). Relativistic, many-particle Lagrangean for electromagnetic interactions. Physical Review Letters. 59(5). 525–527. 15 indexed citations
20.
Char, Bruce W., et al.. (1986). A tutorial introduction to Maple. Journal of Symbolic Computation. 2(2). 179–200. 47 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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by K. O. Geddes Breakdown of academic impact, for papers by Bruce W. Char Breakdown of academic impact, for papers by George Labahn Breakdown of academic impact, for papers by Benton Leong Breakdown of academic impact, for papers by James McKee Breakdown of academic impact, for papers by Joel Franklin Breakdown of academic impact, for papers by Oren Patashnik Breakdown of academic impact, for papers by Steven Roman Breakdown of academic impact, for papers by Ilse C. F. Ipsen Breakdown of academic impact, for papers by Hans Sagan
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