Staff Profile

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Career Summary

Qualifications

  • PhD (Mathematics), Simon Fraser University, 12/05/2009

Research

Research keywords

  • Number Theory

Research expertise

Number Theory

Fields of Research

CodeDescriptionPercentage
010101Algebra And Number Theory100

Teaching

Teaching keywords

  • Pure Mathematics

Teaching expertise

Pure Mathematics

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Publications

For publications that are currently unpublished or in-press, details are shown in italics.

Click on a category title below to expand the list of citations for that specific category.

Journal article (18 outputs)

YearCitationAltmetricsLink
2014Coons M, 'AN ARITHMETICAL EXCURSION VIA STONEHAM NUMBERS', JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 96 303-315 (2014) [C1]
2014Bell JP, Coons M, Hare KG, 'The minimal growth of a k-regular sequence', Bulletin of the Australian Mathematical Society, 90 195-203 (2014) [C1]
2013Bell JP, Coons M, Rowland E, 'The rational-transcendental dichotomy of Mahler functions', Journal of Integer Sequences, 16 Article 13.2.10-11 (2013) [C1]
2013Coons M, 'Transcendental solutions of a class of minimal functional equations', Canadian Mathematical Bulletin. Bulletin Canadien de Mathématiques, 56 283-291 (2013) [C1]
2013Coons M, 'On the rational approximation of the sum of the reciprocals of the Fermat numbers', Ramanujan Journal. An International Journal Devoted to the Areas of Mathematics Influenced by Ramanujan, 30 39-65 (2013) [C1]
2012Coons M, 'A note on two conjectures associated to Goldbach's problem', PUBLICATIONES MATHEMATICAE-DEBRECEN, 80 343-345 (2012) [C1]
2012Coons M, 'Extension of Some Theorems of W. Schwarz', CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 55 60-66 (2012) [C1]
2012Bell JP, Bruin N, Coons M, 'TRANSCENDENCE OF GENERATING FUNCTIONS WHOSE COEFFICIENTS ARE MULTIPLICATIVE', TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 364 933-959 (2012) [C1]
2012Coons M, 'A correlation identity for Stern's sequence', Integers, 12 459-464 (2012) [C1]
2011Coons M, Shallit J, 'A pattern sequence approach to Stern's sequence', DISCRETE MATHEMATICS, 311 2630-2633 (2011) [C1]
2011Coons M, Vrbik P, 'An irrationality measure for regular paperfolding numbers', Journal of Integer Sequences, 15 (2011) [C1]
2011Coons M, 'On some conjectures concerning Stern's sequence and its twist', Integers, 11 775-789 (2011) [C1]
2011Coons M, Dahmen SR, 'ON THE RESIDUE CLASS DISTRIBUTION OF THE NUMBER OF PRIME DIVISORS OF AN INTEGER', NAGOYA MATHEMATICAL JOURNAL, 202 15-22 (2011) [C1]
2010Coons M, 'THE TRANSCENDENCE OF SERIES RELATED TO STERN'S DIATOMIC SEQUENCE', INTERNATIONAL JOURNAL OF NUMBER THEORY, 6 211-217 (2010) [C1]
2010Borwein P, Choi SKK, Coons M, 'COMPLETELY MULTIPLICATIVE FUNCTIONS TAKING VALUES IN {-1,1}', TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 362 6279-6291 (2010) [C1]
2010Coons M, '(Non)automaticity of number theoretic functions', Journal de Théorie des Nombres de Bordeaux, 22 339-352 (2010) [C1]
2009Borwein P, Coons M, 'TRANSCENDENCE OF POWER SERIES FOR SOME NUMBER THEORETIC FUNCTIONS', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 137 1303-1305 (2009) [C1]
2009Coons M, Kirsten K, 'General moment theorems for nondistinct unrestricted partitions', JOURNAL OF MATHEMATICAL PHYSICS, 50 (2009) [C1]
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Grants and Funding

Summary

Number of grants5
Total funding$414,499

- Indicates that the researcher may be seeking students for this project.

Click on a grant title below to expand the full details for that specific grant.

2014 (2 grants)

Diophantine approximation, transcendence, and related structures$385,735
Funding Body: ARC (Australian Research Council)

Project Team
Doctor Michael Coons Jr
SchemeRole
Discovery Early Career Researcher Award (DECRA)Chief Investigator
Total AmountFunding StartFunding Finish
$385,73520142016
GNo:G1300416

DVC(R) Research Support for DECRA (DE14) $15,000
Funding Body: University of Newcastle

Project Team
Doctor Michael Coons Jr
SchemeRole
Special Project GrantChief Investigator
Total AmountFunding StartFunding Finish
$15,00020142016
GNo:G1400115

2013 (2 grants)

Faculty Visiting Fellowship 2013$6,764
Funding Body: University of Newcastle - Faculty of Science & IT

Project Team
Doctor Michael Coons Jr
SchemeRole
Visiting FellowshipChief Investigator
Total AmountFunding StartFunding Finish
$6,76420132013
GNo:G1401133

Faculty ECA Networking/Conference Grant 2013$2,000
Funding Body: University of Newcastle - Faculty of Science & IT

Project Team
Doctor Michael Coons Jr
SchemeRole
Early Career Academic (ECA) Networking/Conference GrantChief Investigator
Total AmountFunding StartFunding Finish
$2,00020132014
GNo:G1401109

2012 (1 grants)

Complexity and approximation in the context of Mahler's method$5,000
Funding Body: University of Newcastle

Project Team
Doctor Michael Coons Jr
SchemeRole
New Staff GrantChief Investigator
Total AmountFunding StartFunding Finish
$5,00020122012
GNo:G1201156
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Research Supervision

Number of current supervisions1
Total current UoN PhD EFTSL0.6

For supervisions undertaken at an institution other that the University of Newcastle, the institution name is listed below the program name.

Current Supervision

CommencedProposed
Completion
ProgramSupervisor TypeResearch Title
20112015PhD (Mathematics)Principal SupervisorArithmetic Applications of Hankel Determinants
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Dr Michael Coons Jr

Work Phone(02) 4921 5364
Cell / Mobile PhoneNone
Fax(02) 4921 6898
Email
PositionARC DECRA FELLOW
CARMA
School of Mathematical and Physical Sciences
Faculty of Science and Information Technology
The University of Newcastle, Australia
Office
V231,
Mathematics Building,
Callaghan
University Drive
Callaghan NSW 2308
Australia
URL:www.newcastle.edu.au/profile/michael-coons
Linkhttp://carma.newcastle.edu.au/mcoons/