Peter L. Montgomery

6.8k total citations · 3 hit papers
32 papers, 3.2k citations indexed

About

Peter L. Montgomery is a scholar working on Artificial Intelligence, Information Systems and Computational Theory and Mathematics. According to data from OpenAlex, Peter L. Montgomery has authored 32 papers receiving a total of 3.2k indexed citations (citations by other indexed papers that have themselves been cited), including 18 papers in Artificial Intelligence, 14 papers in Information Systems and 12 papers in Computational Theory and Mathematics. Recurrent topics in Peter L. Montgomery's work include Coding theory and cryptography (14 papers), Cryptography and Residue Arithmetic (14 papers) and Polynomial and algebraic computation (7 papers). Peter L. Montgomery is often cited by papers focused on Coding theory and cryptography (14 papers), Cryptography and Residue Arithmetic (14 papers) and Polynomial and algebraic computation (7 papers). Peter L. Montgomery collaborates with scholars based in United States, Switzerland and France. Peter L. Montgomery's co-authors include Robert Silverman, Kristin Lauter, Mathieu Ciet, Marc Jóye, Arjen K. Lenstra, Joppe W. Bos, Thorsten Kleinjung, John Brillhart, Brian Murphy and Bruce Dodson and has published in prestigious journals such as Mathematics of Computation, IEEE Transactions on Computers and American Mathematical Monthly.

In The Last Decade

Peter L. Montgomery

28 papers receiving 2.9k citations

Hit Papers

Modular multiplication without trial division 1985 2026 1998 2012 1985 1985 1987 400 800 1.2k

Peers

Peter L. Montgomery
Comparison fields: 5 of 50
  • Artificial Intelligence 2.8k
  • Information Systems 2.6k
  • Computational Theory and Mathematics 413
  • Computer Vision and Pattern Recognition 360
  • Computer Networks and Communications 190
Fréderik Vercauteren Belgium
Arjen K. Lenstra United States
J. M. Pollard United Kingdom
Darrel Hankerson United States
Steven D. Galbraith⋆ United Kingdom
Jacques Stern France
Marc Jóye France
M.A. Hasan Canada
Kenneth G. Paterson United Kingdom
Michael J. Wiener Canada
Fréderik Vercauteren Belgium View profile →
Citations per field, relative to Peter L. Montgomery
Peter L. Montgomery · 1×
Citations per year, relative to Peter L. Montgomery
Peter L. Montgomery · 1×

Countries citing papers authored by Peter L. Montgomery

Since Specialization
Citations

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

Fields of papers citing papers by Peter L. Montgomery

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Peter L. Montgomery. 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 Peter L. Montgomery. The network helps show where Peter L. Montgomery may publish in the future.

Co-authorship network of co-authors of Peter L. Montgomery

This figure shows the co-authorship network connecting the top 25 collaborators of Peter L. Montgomery. A scholar is included among the top collaborators of Peter L. Montgomery 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 Peter L. Montgomery. Peter L. Montgomery 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
# Work Indexed citations
1 8
2
Side Channel Leakage Profiling in Software
3
3 8
4 1
5 0
6 51
7
Factorization of a 512-bit RSA modulus
24
8 1
9 11
10
A survey of modern integer factorization algorithms
21
11 17
12 5
13
An FFT extension of the elliptic curve method of factorization
29
14 1
15 9
16 11
17
Speeding the Pollard and elliptic curve methods of factorization breakdown →
501
18 63
19
Modular Multiplication Without Trial Division breakdown →
800
20 0

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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