Staff Profile
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Career Summary
Qualifications
- PhD, University of Newcastle
- Bachelor of Science (Honours), University of Newcastle
- Bachelor of Science, University of Newcastle
Research
Research keywords
- Banach space geometry
- Functional Analysis
- Metric fixed point theory
- Nonlinear Analysis
- Ultraproducts of metric and Banach space
Research expertise
Sims' broad area of research is functional and nonlinear analysis, in which he has published over 60 refereed research papers in major international journals. More specifically his interest and expertise is in geometry in both Banach spaces and convex metric spaces, attainment problems and the use of embedding techniques (for example, embedding into ultrapowers) for solving such problems. His investigations have included attainment problems associated with boundary points of operator numerical ranges, and more recently the attainment of fixed points by various classes of mappings.
Nonlinear optimization and control leads to variational inequalities and hence to fixed points. Equilibria of dynamical systems correspond to fixed points, whose approximability relate to the stability and ergodic behaviour of the system. The research aims to further our understanding of nonexpansive type mappings, with an emphasis on establishing easily verified, yet widely applicable, criteria for the existence of a fixed together with effective iterative algorithms for their approximation. Of particular interest are the little understood cases where the underlying space admits no natural linear structure or nice geometry, so the usual tools of convex analysis are inapplicable. Geodesic metric spaces and notions of hyperbolicity are a fertile setting for investigations while ultraproduct methods provide powerful techniques.
Fields of Research
| Code | Description | Percentage |
|---|---|---|
| 010100 | Pure Mathematics | 65 |
| 010299 | Applied Mathematics Not Elsewhere Classified | 35 |
Memberships
Committee/Associations (relevant to research).
- Fellow - Australian mathematicval society
Editorial Board.
- Assistant Editor - Journal of Mathematical Analysis and Applications
- Associate Editor - Jourenal of Nonlinear Analysis - Theory, Methods and Applications
- Assistant Editor - Journal of Fixed Point Theory and Applications
Invitations
| 7th International Conference on Fixed point Theory and Applications CIMAT, Mexico (Conference Presentation - non published.) | 2005 |
Administrative
Administrative expertise
Head of Department/School
Deputy President of Academic Senate
Member of numerous selection and diverse other University Committies.
Teaching
Teaching keywords
- All areas at undergraduate level
- At all levels
- Functional analysis at graduate level
Teaching expertise
Sims has taught undergraduate courses in most areas of pure mathematics, and some in applied mathematics; in particular mathematical modelling in the life sciences, operations research and optimization. These have been at all levels; pre-undergraduate to honours and to students of all ability levels.
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- Indicates that the researcher may be seeking students for this project.Structured barrier and penalty functions in infinite dimensional optimization and analysis$390,000
Computer Assisted Research Mathematics and its Applications$267,361
Centre for Complex Dynamic Systems and Control$5,400,000
Centre for Complex Dynamic Systems and Control$323,084
CDSC Sub-Account: Mathematical Systems Theory$137,000
Centre for Complex Dynamic Systems and Control.$6,929,432
The Great Australian Science Show Off!$8,660
Visit of Prof Piotr Mankiewicz, from 21 March 2002 to 28 April 2002$3,486
Special Interest Meeting of the Australian Mathematical Society from 27 September 2002 to 29 September 2002$3,000
Visit of Prof Mariusz Wodzicki from 2 December 2001 to 21 January 2002$5,011
Fifth International Conference on Fixed Point Theory and its Applications, Israel 13-19 June 2001$2,500
Visitor - Prof Chris Rodger August to December 2000$6,605
Visitor grant Prof Kazimierz Goebel, 5 August to 30 September 2000.$3,786
World Congress of Nonlinear Analysts (WCNA-2000), Catania, Italy.$2,500
Visitor grant for Professor Genaro Lopez$3,395
International Conference on Differential Equations and Related Topics, Pusan, Korea.$1,374
International Conference on Nonlinear Analysis and Convex Analysis, Niigata, Japan$1,646
Investigations related to metric fixed point theory.$4,000
Sims - Hong-Kun Xu 2/7/97-22/8/97$3,190
Workshop on Fixed Point Theory, Poland, 23-28 June 1997$1,243
Common fixed points for commuting non-expansive maps$2,400
Visit by Professor W A Kirk, Professor of Mathematics, University of Iowa. 17 May to 15 July 1995.$3,497
Fixed point theory for nonexpansive maps$3,400
Nonexpansive maps and fixed points in Banach spaces$3,500
Visit by Prof Kazimierz Boegel, Maria Curie-Sklodowska University, Lublin, Poland 1/11/93 to 23/12/93.$3,865
'International Conference in Abstract Analysis' - South Africa - 14 - 23 April 1993$1,612
Grants and Funding
Summary
| Number of grants | 26 |
|---|---|
| Total funding | $13,515,547 |
For project grants received where the lead institution is other than the University of Newcastle, details are shown in italics.
Click on a grant title below to expand the full details for that specific grant.
2012 (1 grants)
Structured barrier and penalty functions in infinite dimensional optimization and analysis$390,000
Funding Body: ARC (Australian Research Council)
| Project Team | ||
|---|---|---|
| Laureate Professor Jon Borwein, Professor Andrew Eberhard, Professor Adrian Lewis, Associate Professor Brailey Sims, Professor Qiji Zhu | ||
| Scheme | Role | |
| Discovery Projects | Investigator | |
| Total Amount | Funding Start | Funding Finish |
| $390,000 | 2012 | 2014 |
| GNo:G1100082 | ||
2009 (1 grants)
Computer Assisted Research Mathematics and its Applications$267,361
Funding Body: University of Newcastle
| Project Team | ||
|---|---|---|
| Laureate Professor Jon Borwein, Professor Natashia Boland, Associate Professor Brailey Sims, Professor George Willis | ||
| Scheme | Role | |
| Priority Research Centre | Investigator | |
| Total Amount | Funding Start | Funding Finish |
| $267,361 | 2009 | 2012 |
| GNo:G0189866 | ||
2008 (3 grants)
Centre for Complex Dynamic Systems and Control$5,400,000
Funding Body: ARC (Australian Research Council)
| Project Team | ||
|---|---|---|
| Professor Graham Goodwin, Professor Minyue Fu, Professor Reza Moheimani, Doctor Julio Braslavsky, Doctor Gregory Adams, Associate Professor Jose De Dona, Doctor Maria Seron, Doctor James Welsh, Doctor Andrew Fleming, Associate Professor Tristan Perez, Doctor Damian Marelli, Associate Professor Brailey Sims, Conjoint Professor Kerrie Mengersen, Professor A Pettitt, Dr R Reeves, Professor Ian Turner, Dr Salvatore Crisafulli, Dr M Downey, Mr J Lee, Mr P Stone, Conjoint Professor John Rayner | ||
| Scheme | Role | |
| ARC Centres of Excellence | Investigator | |
| Total Amount | Funding Start | Funding Finish |
| $5,400,000 | 2008 | 2010 |
| GNo:G0188623 | ||
Centre for Complex Dynamic Systems and Control$323,084
Funding Body: NSW Department of State and Regional Development
| Project Team | ||
|---|---|---|
| Professor Graham Goodwin, Professor Minyue Fu, Professor Reza Moheimani, Doctor Julio Braslavsky, Doctor Gregory Adams, Associate Professor Jose De Dona, Doctor Maria Seron, Doctor James Welsh, Doctor Andrew Fleming, Doctor Damian Marelli, Associate Professor Brailey Sims, Conjoint Professor Kerrie Mengersen, Professor A Pettitt, Dr R Reeves, Professor Ian Turner, Dr Salvatore Crisafulli, Dr M Downey, Mr J Lee, Mr P Stone | ||
| Scheme | Role | |
| Centres of Excellence (Partner) | Investigator | |
| Total Amount | Funding Start | Funding Finish |
| $323,084 | 2008 | 2010 |
| GNo:G0189187 | ||
CDSC Sub-Account: Mathematical Systems Theory$137,000
Funding Body: ARC (Australian Research Council)
| Project Team | ||
|---|---|---|
| Professor Graham Goodwin, Associate Professor Brailey Sims | ||
| Scheme | Role | |
| ARC Centres of Excellence | Investigator | |
| Total Amount | Funding Start | Funding Finish |
| $137,000 | 2008 | 2010 |
| GNo:GS090009 | ||
2003 (2 grants)
Centre for Complex Dynamic Systems and Control.$6,929,432
Funding Body: ARC (Australian Research Council)
| Project Team | ||
|---|---|---|
| Professor Rick Middleton, Professor Graham Goodwin, Professor Minyue Fu, Conjoint Professor Kerrie Mengersen, Professor Iain Raeburn, Professor Reza Moheimani, Dr William Heath, Doctor Julio Braslavsky, Associate Professor Jose De Dona, Doctor Richard Gerlach, Doctor Maria Seron, Associate Professor Brailey Sims | ||
| Scheme | Role | |
| ARC Centres of Excellence | Investigator | |
| Total Amount | Funding Start | Funding Finish |
| $6,929,432 | 2003 | 2007 |
| GNo:G0182216 | ||
The Great Australian Science Show Off!$8,660
Funding Body: Department of Education, Science and Training
| Project Team | ||
|---|---|---|
| Doctor Terry Burns, Associate Professor Brailey Sims | ||
| Scheme | Role | |
| National Science Week Grant | Investigator | |
| Total Amount | Funding Start | Funding Finish |
| $8,660 | 2003 | 2003 |
| GNo:G0182687 | ||
2002 (2 grants)
Visit of Prof Piotr Mankiewicz, from 21 March 2002 to 28 April 2002$3,486
Funding Body: University of Newcastle
| Project Team | ||
|---|---|---|
| Associate Professor Brailey Sims | ||
| Scheme | Role | |
| Visitor Grant | Chief Investigator | |
| Total Amount | Funding Start | Funding Finish |
| $3,486 | 2002 | 2002 |
| GNo:G0181742 | ||
Special Interest Meeting of the Australian Mathematical Society from 27 September 2002 to 29 September 2002$3,000
Funding Body: University of Newcastle
| Project Team | ||
|---|---|---|
| Associate Professor Brailey Sims | ||
| Scheme | Role | |
| Conference Establishment Grant | Chief Investigator | |
| Total Amount | Funding Start | Funding Finish |
| $3,000 | 2002 | 2002 |
| GNo:G0181859 | ||
2001 (2 grants)
Visit of Prof Mariusz Wodzicki from 2 December 2001 to 21 January 2002$5,011
Funding Body: University of Newcastle
| Project Team | ||
|---|---|---|
| Associate Professor Brailey Sims | ||
| Scheme | Role | |
| Visitor Grant | Chief Investigator | |
| Total Amount | Funding Start | Funding Finish |
| $5,011 | 2001 | 2001 |
| GNo:G0181634 | ||
Fifth International Conference on Fixed Point Theory and its Applications, Israel 13-19 June 2001$2,500
Funding Body: University of Newcastle
| Project Team | ||
|---|---|---|
| Associate Professor Brailey Sims | ||
| Scheme | Role | |
| Travel Grant | Chief Investigator | |
| Total Amount | Funding Start | Funding Finish |
| $2,500 | 2001 | 2001 |
| GNo:G0180941 | ||
2000 (3 grants)
Visitor - Prof Chris Rodger August to December 2000$6,605
Funding Body: University of Newcastle
| Project Team | ||
|---|---|---|
| Associate Professor Brailey Sims, Peter Eades | ||
| Scheme | Role | |
| Visitor Grant | Chief Investigator | |
| Total Amount | Funding Start | Funding Finish |
| $6,605 | 2000 | 2000 |
| GNo:G0179355 | ||
Visitor grant Prof Kazimierz Goebel, 5 August to 30 September 2000.$3,786
Funding Body: University of Newcastle
| Project Team | ||
|---|---|---|
| Associate Professor Brailey Sims | ||
| Scheme | Role | |
| Visitor Grant | Chief Investigator | |
| Total Amount | Funding Start | Funding Finish |
| $3,786 | 2000 | 2000 |
| GNo:G0179571 | ||
World Congress of Nonlinear Analysts (WCNA-2000), Catania, Italy.$2,500
Funding Body: University of Newcastle
| Project Team | ||
|---|---|---|
| Associate Professor Brailey Sims | ||
| Scheme | Role | |
| Travel Grant | Chief Investigator | |
| Total Amount | Funding Start | Funding Finish |
| $2,500 | 2000 | 2000 |
| GNo:G0180295 | ||
1999 (2 grants)
Visitor grant for Professor Genaro Lopez$3,395
Funding Body: University of Newcastle
| Project Team | ||
|---|---|---|
| Associate Professor Brailey Sims | ||
| Scheme | Role | |
| Visitor Grant | Chief Investigator | |
| Total Amount | Funding Start | Funding Finish |
| $3,395 | 1999 | 1999 |
| GNo:G0179003 | ||
International Conference on Differential Equations and Related Topics, Pusan, Korea.$1,374
Funding Body: University of Newcastle
| Project Team | ||
|---|---|---|
| Associate Professor Brailey Sims | ||
| Scheme | Role | |
| Travel Grant | Chief Investigator | |
| Total Amount | Funding Start | Funding Finish |
| $1,374 | 1999 | 1999 |
| GNo:G0180439 | ||
1998 (1 grants)
International Conference on Nonlinear Analysis and Convex Analysis, Niigata, Japan$1,646
Funding Body: University of Newcastle
| Project Team | ||
|---|---|---|
| Associate Professor Brailey Sims | ||
| Scheme | Role | |
| Travel Grant | Chief Investigator | |
| Total Amount | Funding Start | Funding Finish |
| $1,646 | 1998 | 1998 |
| GNo:G0180601 | ||
1997 (3 grants)
Investigations related to metric fixed point theory.$4,000
Funding Body: University of Newcastle
| Project Team | ||
|---|---|---|
| Associate Professor Brailey Sims | ||
| Scheme | Role | |
| Project Grant | Chief Investigator | |
| Total Amount | Funding Start | Funding Finish |
| $4,000 | 1997 | 1997 |
| GNo:G0176803 | ||
Sims - Hong-Kun Xu 2/7/97-22/8/97$3,190
Funding Body: University of Newcastle
| Project Team | ||
|---|---|---|
| Associate Professor Brailey Sims, Assoc. Prof H Xu | ||
| Scheme | Role | |
| Visitor Grant | Chief Investigator | |
| Total Amount | Funding Start | Funding Finish |
| $3,190 | 1997 | 1997 |
| GNo:G0177507 | ||
Workshop on Fixed Point Theory, Poland, 23-28 June 1997$1,243
Funding Body: University of Newcastle
| Project Team | ||
|---|---|---|
| Associate Professor Brailey Sims | ||
| Scheme | Role | |
| Travel Grant | Chief Investigator | |
| Total Amount | Funding Start | Funding Finish |
| $1,243 | 1997 | 1997 |
| GNo:G0179568 | ||
1996 (1 grants)
Common fixed points for commuting non-expansive maps$2,400
Funding Body: University of Newcastle
| Project Team | ||
|---|---|---|
| Associate Professor Brailey Sims | ||
| Scheme | Role | |
| Project Grant | Chief Investigator | |
| Total Amount | Funding Start | Funding Finish |
| $2,400 | 1996 | 1996 |
| GNo:G0175787 | ||
1995 (2 grants)
Visit by Professor W A Kirk, Professor of Mathematics, University of Iowa. 17 May to 15 July 1995.$3,497
Funding Body: University of Newcastle
| Project Team | ||
|---|---|---|
| Associate Professor Brailey Sims | ||
| Scheme | Role | |
| Visitor Grant | Chief Investigator | |
| Total Amount | Funding Start | Funding Finish |
| $3,497 | 1995 | 1995 |
| GNo:G0175494 | ||
Fixed point theory for nonexpansive maps$3,400
Funding Body: University of Newcastle
| Project Team | ||
|---|---|---|
| Associate Professor Brailey Sims | ||
| Scheme | Role | |
| Project Grant | Chief Investigator | |
| Total Amount | Funding Start | Funding Finish |
| $3,400 | 1995 | 1995 |
| GNo:G0174873 | ||
1994 (1 grants)
Nonexpansive maps and fixed points in Banach spaces$3,500
Funding Body: University of Newcastle
| Project Team | ||
|---|---|---|
| Associate Professor Brailey Sims | ||
| Scheme | Role | |
| Project Grant | Chief Investigator | |
| Total Amount | Funding Start | Funding Finish |
| $3,500 | 1994 | 1994 |
| GNo:G0174779 | ||
1993 (2 grants)
Visit by Prof Kazimierz Boegel, Maria Curie-Sklodowska University, Lublin, Poland 1/11/93 to 23/12/93.$3,865
Funding Body: University of Newcastle
| Project Team | ||
|---|---|---|
| Associate Professor Brailey Sims | ||
| Scheme | Role | |
| Visitor Grant | Chief Investigator | |
| Total Amount | Funding Start | Funding Finish |
| $3,865 | 1993 | 1993 |
| GNo:G0173397 | ||
'International Conference in Abstract Analysis' - South Africa - 14 - 23 April 1993$1,612
Funding Body: University of Newcastle
| Project Team | ||
|---|---|---|
| Associate Professor Brailey Sims | ||
| Scheme | Role | |
| Travel Grant | Chief Investigator | |
| Total Amount | Funding Start | Funding Finish |
| $1,612 | 1993 | 1993 |
| GNo:G0174297 | ||
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Research Supervision
| Number of current supervisions | 4 |
|---|---|
| Total current UoN PhD EFTSL | 1.15 |
For supervisions undertaken at an institution other that the University of Newcastle, details are shown in italics, and the institution name is listed below the program name.
Current Supervision
| Commenced | Proposed Completion | Program | Supervisor Type | Research Title |
|---|---|---|---|---|
| 2013 | 2016 | PhD (Mathematics) | Co-Supervisor | Nonlinear Analysis |
| 2012 | 2014 | PhD (Mathematics) | Co-Supervisor | Fractal Pattern Discovery Tools for Experimental Mathematics |
| 2006 | 2010 | PhD (Mathematics) | Co-Supervisor | On Automorphism Groups of Trees |
| 2003 | 2012 | PhD (Mathematics) | Principal Supervisor | Metric Fixed Point THeory and Related Banach Space Geometry |
Past Supervision
| Year | Program | Supervisor Type | Research Title |
|---|---|---|---|
| 2011 | PhD (Mathematics) | Principal Supervisor | Connections Between Geometrical and Fixed Point Properties |
| 2005 | PhD (Mathematics) | Principal Supervisor | A New Structure for Generalized Metric Spaces - with Applications to Fixed Point Theory |
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Associate Professor Brailey Sims
| Work Phone | (02) 4921 5540 |
|---|---|
| Fax | (02) 4921 6898 |
| Brailey.Sims@newcastle.edu.au | |
| Position | Associate Professor School of Mathematical and Physical Sciences Faculty of Science and Information Technology |
| Focus Area | Mathematics |
| Office | V213, Mathematics, Callaghan University Drive Callaghan NSW 2308 Australia |
| URL: | www.newcastle.edu.au/profile/brailey-sims |
