Greg Reid, Western University

Research

Read how they describe their research on their Western University profile.

Latest papers

Embedding Method by Real Numerical Algebraic Geometry for Structurally Unamenable Differential-Algebraic Equations
Journal of Systems Science and Complexity · 2024 · senior author
Contributions to the Algorithmic Foundations of Approximate Lie Symmetry Algebras of Differential Equations
arXiv (Cornell University) · 2024 · senior author
Algorithmic reduction of polynomially nonlinear PDE systems to parametric ODE systems
arXiv (Cornell University) · 2024

All 117 publications

Latest funding

Efficient symbolic-numeric algorithms for structured constrained differential polynamial systems
NSERC · 2009 · Principal investigator
$110,000
MPrime Network (formerly MITACS) / Réseau MPrime (autrefois MITACS)
NSERC · 2009 · Co-investigator
$12,553,000
Mathematics of Information Technology and Complex Systems/Les mathématiques des technologies de l'information et des systèmes complexes
NSERC · 2005 · Co-investigator
$17,419,000

All 4 grants and awards

117 publications.

01

Embedding Method by Real Numerical Algebraic Geometry for Structurally Unamenable Differential-Algebraic Equations

Wenqiang Yang, Wenyuan Wu, Greg J. Reid

Journal of Systems Science and Complexity20241 citationsSenior author

DOI: 10.1007/s11424-024-4048-5

02

Contributions to the Algorithmic Foundations of Approximate Lie Symmetry Algebras of Differential Equations

Siyuan Deng, Gregory J. Reid

arXiv (Cornell University)2024Senior authorOpen Access

DOI: 10.48550/arxiv.2410.20608

03

Algorithmic reduction of polynomially nonlinear PDE systems to parametric ODE systems

Siyuan Deng, Michelle Hatzel, Gregory J. Reid, Wenqiang Yang, Wenyuan Wu

arXiv (Cornell University)2024Open Access

DOI: 10.48550/arxiv.2410.12110

04

Structural analysis by generalized embedding method for integro-differential–algebraic equations

Wenqiang Yang, Wenyuan Wu, Yong Feng, Greg J. Reid

Computational and Applied Mathematics2024Senior author

DOI: 10.1007/s40314-024-03006-9

05

Symbolic and numeric computation of symmetries for a class of Schrödinger Equations

Siyuan Deng, Gregory J. Reid

2023Senior author

DOI: 10.1109/synasc61333.2023.00016

06

The Significance of Exposure to Pregestational Type 2 Diabetes in Utero on Fetal Renal Size and Subcutaneous Fat Thickness

Christy L. Pylypjuk, Chelsea A. Day, Yasmine ElSalakawy, Gregory J. Reid

International Journal of Nephrology20225 citationsSenior authorOpen Access

DOI: 10.1155/2022/3573963 PMID: 35812800

07

Algorithm for intersecting symbolic and approximate linear differential varieties

Siyuan Deng, Zahra Mohammadi, Gregory J. Reid

20221 citationsSenior author

DOI: 10.1109/synasc57785.2022.00020

08

Embedding Method by Real Numerical Algebraic Geometry for Structurally Unamenable Differential-Algebraic Equations

Wenqiang Yang, Wenyuan Wu, Greg J. Reid

arXiv (Cornell University)20211 citationsSenior authorOpen Access

DOI: 10.48550/arxiv.2111.08160

09

Parametric Linear Algebra in Maple: Reduced Row Echelon Form

Siyuan Deng, Greg J. Reid, David J. Jeffrey

20211 citations

DOI: 10.1109/synasc54541.2021.00017

10

Symmetry-Based Algorithms for Invertible Mappings of Polynomially Nonlinear PDE to Linear PDE

Zahra Mohammadi, Gregory J. Reid, S.-L. Tracy Huang

Mathematics in Computer Science20201 citations

DOI: 10.1007/s11786-020-00483-z

Efficient symbolic-numeric algorithms for structured constrained differential polynamial systems

Principal investigatorNSERC2009Discovery Grants Program - Individual

Principal investigators: Reid, Greg

$110,000

MPrime Network (formerly MITACS) / Réseau MPrime (autrefois MITACS)

Co-investigatorNSERC2009Networks of Centres of Excellence

Principal investigators: Gupta, Arvind

$12,553,000

Mathematics of Information Technology and Complex Systems/Les mathématiques des technologies de l'information et des systèmes complexes

Co-investigatorNSERC2005Networks of Centres of Excellence

Principal investigators: Gupta, Arvind

$17,419,000

Symbolic-numeric algorithms and software for differential systems with constraints

Principal investigatorNSERC2004Discovery Grants Program - Individual

Principal investigators: Reid, Greg

$95,000

From public funding decisions: CIHR since 2008, NSERC since 1991 and SSHRC since 1998 with their latest competition results, the Canada Foundation for Innovation, Genome Canada, the Canadian Space Agency, Canada Research Chairs, the Fonds de recherche du Québec, Ontario research funding, Michael Smith Health Research BC, the Canadian Cancer Society, Heart & Stroke and Brain Canada.

Frequent collaborators

Department of Mathematics
Department of Computer Science
Department of Internal Medicine
Department of Combinatorics and Optimization
Medical Imaging
Nursing
Department of Pediatrics
Other

1 shared papers, latest 2015

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Subject: Prospective PhD student Dear Professor Reid, My name is [your name], and I am a [your current degree or role] at [your institution]. I am applying for a PhD position starting in [term and year]. I read your paper "Embedding Method by Real Numerical Algebraic Geometry for Structurally Unamenable Differential-Algebraic Equations" (2024), and it connects closely to my own work on [your research topic]. [One or two sentences on what you did and what you learned.] Are you accepting new PhD students for [term and year]? I have attached my CV and transcripts, and I would be glad to talk at a time that suits you. Thank you for your time. Kind regards, [your name]