Overview
We might view category theory as a discipline shaped by two dominant mathematical and philosophical themes, these being the study of internal structures and the process of categorification. The first of these encourages us to think of certain constructs called categories as being akin to universes of discourse in which mathematical structures and arguments may be formulated. The second suggests that we might fruitfully replace underlying sets of our mathematical entities themselves by certain kinds of categories and their operations and equations by functors and coherent equivalences. This project seeks to further study the applicability of these complementary views of category theory, by (a) studying the interplay between internal structures, externalisation and categorification at low dimensions in a unified framework (b) extending certain of these results to the context of higher weak category theory and (c) applying these methods to certain foundational problems in K-theory, mathematical physics and computer science.
Other Important information:
This is a broadly based, interdisciplinary project which would suit a student who possesses a strong interest and background in pure mathematics, mathematical physics and/or theoretical computer science. We would generally expect that applicants for this scholarship would have some background in category theory and its applications. However, depending upon the candidate this may not be a mandatory requirement.
This research forms part of an ARC Discovery Grant funded project entitled “Applicable Categorical Structures”, investigators E/Prof. Ross Street, A/Prof. Dominic Verity, Dr. Stephen Lack and Prof. Michael Johnson (DP1094883)
Prospective applicants should, in the first instance, make contact with the principal supervisor, Associate Professor Dominic Verity, email: dominic.verity@mq.edu.au, telephone 61 (02) 9850 9522.
The 2011 MQRES full-time stipend rate is $22,860 pa tax exempt for 3.5 years.
Application deadline: 31 January.
Applicants will need to complete a candidature/scholarship application form and arrange for two academic referee reports to be submitted to the Higher Degree Research Office. Refer to: http://www.hdr.mq.edu.au/information_about/applications for further application instructions. Macquarie University will advise the successful applicant of entitlements at the time of scholarship offer.
Please quote the allocation reference number 2010233 on your application form.
Please kindly mention Scholarization.blogspot.com when applying for this scholarship
We might view category theory as a discipline shaped by two dominant mathematical and philosophical themes, these being the study of internal structures and the process of categorification. The first of these encourages us to think of certain constructs called categories as being akin to universes of discourse in which mathematical structures and arguments may be formulated. The second suggests that we might fruitfully replace underlying sets of our mathematical entities themselves by certain kinds of categories and their operations and equations by functors and coherent equivalences. This project seeks to further study the applicability of these complementary views of category theory, by (a) studying the interplay between internal structures, externalisation and categorification at low dimensions in a unified framework (b) extending certain of these results to the context of higher weak category theory and (c) applying these methods to certain foundational problems in K-theory, mathematical physics and computer science.
Other Important information:
This is a broadly based, interdisciplinary project which would suit a student who possesses a strong interest and background in pure mathematics, mathematical physics and/or theoretical computer science. We would generally expect that applicants for this scholarship would have some background in category theory and its applications. However, depending upon the candidate this may not be a mandatory requirement.
This research forms part of an ARC Discovery Grant funded project entitled “Applicable Categorical Structures”, investigators E/Prof. Ross Street, A/Prof. Dominic Verity, Dr. Stephen Lack and Prof. Michael Johnson (DP1094883)
Prospective applicants should, in the first instance, make contact with the principal supervisor, Associate Professor Dominic Verity, email: dominic.verity@mq.edu.au, telephone 61 (02) 9850 9522.
The 2011 MQRES full-time stipend rate is $22,860 pa tax exempt for 3.5 years.
Application deadline: 31 January.
Applicants will need to complete a candidature/scholarship application form and arrange for two academic referee reports to be submitted to the Higher Degree Research Office. Refer to: http://www.hdr.mq.edu.au/information_about/applications for further application instructions. Macquarie University will advise the successful applicant of entitlements at the time of scholarship offer.
Please quote the allocation reference number 2010233 on your application form.
Please kindly mention Scholarization.blogspot.com when applying for this scholarship
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