Dr. Graham Clarke
Senior Lecturer
Details
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College: School of Science
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Department: School of Science
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Campus: City Campus Australia
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graham.clarke@rmit.edu.au
Open to
- Masters Research or PhD student supervision
About
Conference organisation
In 2008 and 2012 Dr Clarke was the organiser of the Annual Algebra Conference of Victoria held at RMIT. Interstate and Victorian mathematicians attended, and gave a wide variety of talks on Algebra and related topics.
Talks
“Some applications of generalised existence varieties“ (with J.D. Rodgers), Sydney University Conference on Semigroups, 2005. (Proceedings to appear.)
“Complete congruences on lattices of e-pseudovarieties of finite regular semigroups“ (with J.D. Rodgers), Australian Mathematical Society Conference, Macquarie University, Sydney, 2006.
“On generalised inflations of algebras“, Joint Australia-New Zealand Mathematics Convention, University of Canterbury, Christchurch, New Zealand, 2008.
“Distance education with discrete mathematics“, Joint Australia-New Zealand Mathematics Convention, University of Canterbury, Christchurch, New Zealand, 2008.
“On the Cayley Graphs of Completely Simple Semigroups“, Australian Mathematical Society Annual Conference, University of Queensland, Brisbane, 2010.
“On Cayley Graphs and Semigroups“, Algebra Conference of Victoria, Monash University, Melbourne, 2010.
“Universal Cayley Graphs of Semigroups“, Australian Mathematical Society Annual Conference, University of Ballarat, 2012.
“On Universal Cayley Graphs of Semigroups“, Mini-workshop on Semigroups, University of Tasmania, Hobart, 2012.
“Extensions of Bisimple Inverse Semigroups“, Algebra Conference of Victoria, RMIT University, Melbourne, 2012.
In 2008 and 2012 Dr Clarke was the organiser of the Annual Algebra Conference of Victoria held at RMIT. Interstate and Victorian mathematicians attended, and gave a wide variety of talks on Algebra and related topics.
Talks
“Some applications of generalised existence varieties“ (with J.D. Rodgers), Sydney University Conference on Semigroups, 2005. (Proceedings to appear.)
“Complete congruences on lattices of e-pseudovarieties of finite regular semigroups“ (with J.D. Rodgers), Australian Mathematical Society Conference, Macquarie University, Sydney, 2006.
“On generalised inflations of algebras“, Joint Australia-New Zealand Mathematics Convention, University of Canterbury, Christchurch, New Zealand, 2008.
“Distance education with discrete mathematics“, Joint Australia-New Zealand Mathematics Convention, University of Canterbury, Christchurch, New Zealand, 2008.
“On the Cayley Graphs of Completely Simple Semigroups“, Australian Mathematical Society Annual Conference, University of Queensland, Brisbane, 2010.
“On Cayley Graphs and Semigroups“, Algebra Conference of Victoria, Monash University, Melbourne, 2010.
“Universal Cayley Graphs of Semigroups“, Australian Mathematical Society Annual Conference, University of Ballarat, 2012.
“On Universal Cayley Graphs of Semigroups“, Mini-workshop on Semigroups, University of Tasmania, Hobart, 2012.
“Extensions of Bisimple Inverse Semigroups“, Algebra Conference of Victoria, RMIT University, Melbourne, 2012.
Supervisor projects
- Natural classes of semigroups and monoids
- 10 Dec 2020
- The Game of Cops and Robbers on graphs
- 21 Jul 2014
Teaching interests
Algebra, educational technology.
Teaching Activities
MATH1072/1074 Mathematics for Computing
MATH1150/2045 Discrete Mathematics
MATH2041 Mathematics for Advanced Computing
MATH2148/2172 Algebra for Information Security
INTE1124/2090 Coding for Reliable Communications
Graduate student supervision
Dr Clarke supervised the PhD thesis titled “On E-Pseudovarieties of Finite Regular Semigroups“. This thesis introduced a new algebraic structure known as a generalised existence variety of regular semigroups. RMIT awarded the candidate a University Research Prize for the quality of his Ph.D. thesis. He has also supervised a number of Honours students in Semigroups and related topics, and supervised numerous Masters Degree projects in various areas of Information Security.
Teaching Activities
MATH1072/1074 Mathematics for Computing
MATH1150/2045 Discrete Mathematics
MATH2041 Mathematics for Advanced Computing
MATH2148/2172 Algebra for Information Security
INTE1124/2090 Coding for Reliable Communications
Graduate student supervision
Dr Clarke supervised the PhD thesis titled “On E-Pseudovarieties of Finite Regular Semigroups“. This thesis introduced a new algebraic structure known as a generalised existence variety of regular semigroups. RMIT awarded the candidate a University Research Prize for the quality of his Ph.D. thesis. He has also supervised a number of Honours students in Semigroups and related topics, and supervised numerous Masters Degree projects in various areas of Information Security.
Research interests
Pure Mathematics, Aerospace Engineering
Research
Dr Clarke's individual research has mainly been in Algebra and in Mathematics Education.
His joint research has involved collaboration with Bob Monzo of the United Kingdom. This has resulted in a new topic of research, that of generalised inflations of algebraic structures. Since then, other researchers have also begun to investigate this area of study.
More recently, he has collaborated with Yanfeng Luo and Yifei Hao of Lanzhou University, China, in a study of Cayley Graphs and Completely Simple Semigroups.
Research Interests
Dr Graham Clarke's research interests are in Algebra, Discrete Mathematics and Mathematics Education. Algebra and Discrete Mathematics have many applications in Computer Science, Communications Engineering and Information Security. He is particularly interested in the applications to network theory, coding and cryptography.
His research activities involve conference organisation, individual and joint research, graduate student supervision, conference talks and research publications.
Research
Dr Clarke's individual research has mainly been in Algebra and in Mathematics Education.
His joint research has involved collaboration with Bob Monzo of the United Kingdom. This has resulted in a new topic of research, that of generalised inflations of algebraic structures. Since then, other researchers have also begun to investigate this area of study.
More recently, he has collaborated with Yanfeng Luo and Yifei Hao of Lanzhou University, China, in a study of Cayley Graphs and Completely Simple Semigroups.
Research Interests
Dr Graham Clarke's research interests are in Algebra, Discrete Mathematics and Mathematics Education. Algebra and Discrete Mathematics have many applications in Computer Science, Communications Engineering and Information Security. He is particularly interested in the applications to network theory, coding and cryptography.
His research activities involve conference organisation, individual and joint research, graduate student supervision, conference talks and research publications.
