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Priority Research Centre for Computer-Assisted
Research Mathematics and its Applications



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CARMA-Sponsored Events: Colloquia, Seminars, Workshops, Conferences and More.

Details of upcoming events are listed on this page.

Upcoming CARMA Events

  • THE UNDERGRADUATE TALKS IN MATHEMATICS
  • Speaker: Dr Murray Elder, CARMA, The University of Newcastle
  • Title: Solving Equations in Free Groups
  • Location: V104, Mathematics Building (Callaghan), The University of Newcastle
  • Time and Date: 12:00 pm, Tue, 28th Apr 2015
  • Abstract:
    I will explain what an equation in a free group is, why they are interesting, and how to solve them. The talk will be accessible to anyone interested in maths or computer science or logic.
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  • CARMA DISCRETE MATHEMATICS SEMINAR
  • Speaker: Paul Leopardi,
  • Title: Twin bent functions, Cayley graphs, and Radon-Hurwitz theory
  • Location: VG25, Mathematics Building (Callaghan), The University of Newcastle
  • Time and Date: 1:00 pm, Wed, 29th Apr 2015
  • Abstract:

    I have recently [2] shown that each group $Z_2^{2m}$ gives rise to a pair of bent functions with disjoint support, whose Cayley graphs are a disjoint pair of strongly regular graphs $\Delta_m[-1]$, $\Delta_m[1]$ on $4^m$ vertices. The two strongly regular graphs are twins in the sense that they have the same parameters $(\nu, k, \lambda, \mu)$. For $m < 4$, the two strongly regular graphs are isomorphic. For $m \geq 4$, they are not isomorphic, because the size of the largest clique differs. In particular, the largest clique size of $\Delta_m[-1]$ is $\rho(2^m)$ and the largest clique in $\Delta_m[1]$ has size at least $2^m$, where $\rho(n)$ is the Hurwitz-Radon function. This non-isomorphism result disproves a number of conjectures that I made in a paper on constructions of Hadamard matrices [1].

    [1] Paul Leopardi, "Constructions for Hadamard matrices, Clifford algebras, and their relation to amicability - anti-amicability graphs", Australasian Journal of Combinatorics, Volume 58(2) (2014), pp. 214–248.

    [2] Paul Leopardi, "Twin bent functions and Clifford algebras", accepted 13 January 2015 by the Springer Proceedings in Mathematics and Statistics (PROMS): Algebraic Design Theory and Hadamard Matrices (ADTHM 2014).

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  • HONOURS SEMINARS
  • Location: V205, Mathematics Building (Callaghan), The University of Newcastle
  • Time and Date: 4:00 pm, Thu, 30th Apr 2015
  • Our honours students will present the problems that they are working on, progress and plan for the rest of the year, in 15-minute talks.


  • Speaker: Geoffrey Lee
  • Title: EDT0L languages, word problems and multiplication tables for finitely generated groups
  • Abstract:
         Supervisor: Murray Elder

  • Speaker: Riordan Dose
  • Title: Waves and Stretchy Things: Modelling Mechanical Metamaterials
  • Abstract:
         Supervisor: Mike Meylan

  • Speaker: Milutin Brankovic
  • Title: Mahler Measures and Convex Lattice Polygons
  • Abstract:
         Supervisor: Wadim Zudulin
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  • CARMA WORKSHOP
  • Newcastle Maths Educators Conference
  • Location: , The Great Hall, The University of Newcastle (Callaghan), The University of Newcastle
  • Dates: 9:00 am - 5:00 pm, Fri, 1st May 2015
  • A conference to initiate a mathematics community that supports educators across the Hunter region at all levels. More details are available on the conference webpage.
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  • CARMA RHD MEETING
  • Speaker: Mr Daniel Sutherland, CARMA, The University of Newcastle
  • Title: Arithmetic Applications of Hankel Determinants
  • Location: V205, Mathematics Building (Callaghan), The University of Newcastle
  • Dates: 1:00 pm - 3:00 pm, Tue, 5th May 2015
  • Abstract:

    In this talk I will present the main results of my PhD thesis (by the same name), which focuses on the application of matrix determinants as a means of producing number-theoretic results.

    Motivated by an investigation of properties of the Riemann zeta function, we examine the growth rate of certain determinants of zeta values. We begin with a generalisation of determinants based on the Hurwitz zeta function, where we describe the arithmetic properties of its denominator and establish an asymptotic bound. We later employ a determinant identity to bound the growth of positive Hankel determinants. Noting the positivity of determinants of Dirichlet series allows us to prove specific bounds on determinants of zeta values in particular, and of Dirichlet series in general. Our results are shown to be the best that can be obtained from our method of bounding, and we conjecture a slight improvement could be obtained from an adjustment to our specific approach.

    Within the course of this investigation we also consider possible geometric properties which are necessary for the positivity of Hankel determinants, and we examine the role of Hankel determinants in irrationality proofs via their connection with Padé approximation.

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  • CARMA AND AMSI LECTURE SERIES
  • Mathematical Logic and Philosophy
  • Location: V206, Mathematics Building (Callaghan), The University of Newcastle
  • Dates: 2:00 pm - 4:00 pm, Fri, 8th May 2015
  • Download: Lecture Tour Flyer (424 KB)
  • Four lectures by Professor Jeremy Avigad (Department of Philosophy and the Department of Mathematical Sciences, Carnegie Mellon University). This session includes two of the four lectures.
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  • CARMA COLLOQUIUM
  • Speaker: Michael Whittaker , University of Wollongong
  • Title: Fractal substitution tilings and applications to noncommutative geometry
  • Location: V205, Mathematics Building (Callaghan), The University of Newcastle
  • Time and Date: 4:00 pm, Thu, 14th May 2015
  • Abstract:
    Starting with a substitution tiling, such as the Penrose tiling, we demonstrate a method for constructing infinitely many new substitution tilings. Each of these new tilings is derived from a graph iterated function system and the tiles typically have fractal boundary. As an application of fractal tilings, we construct an odd spectral triple on a C*-algebra associated with an aperiodic substitution tiling. Even though spectral triples on substitution tilings have been extremely well studied in the last 25 years, our construction produces the first truly noncommutative spectral triple associated with a tiling. My work on fractal substitution tilings is joint with Natalie Frank and Sam Webster, and my work on spectral triples is joint with Michael Mampusti.
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  • CARMA AND AMSI LECTURE SERIES
  • Mathematical Logic and Philosophy
  • Location: V206, Mathematics Building (Callaghan), The University of Newcastle
  • Time and Date: 2:00 pm, Fri, 15th May 2015
  • Download: Lecture Tour Flyer (424 KB)
  • Four lectures by Professor Jeremy Avigad (Department of Philosophy and the Department of Mathematical Sciences, Carnegie Mellon University). This is the third lecture.
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  • CARMA RHD MEETING
  • Location: V205, Mathematics Building (Callaghan), The University of Newcastle
  • Time and Date: 1:00 pm, Tue, 19th May 2015
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  • CARMA AND AMSI LECTURE SERIES
  • Mathematical Logic and Philosophy
  • Location: V206, Mathematics Building (Callaghan), The University of Newcastle
  • Time and Date: 2:00 pm, Fri, 22nd May 2015
  • Download: Lecture Tour Flyer (424 KB)
  • Four lectures by Professor Jeremy Avigad (Department of Philosophy and the Department of Mathematical Sciences, Carnegie Mellon University). This is the fourth lecture.
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  • CARMA RHD MEETING
  • Location: V205, Mathematics Building (Callaghan), The University of Newcastle
  • Time and Date: 1:00 pm, Tue, 26th May 2015
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  • CARMA RHD MEETING
  • Location: V205, Mathematics Building (Callaghan), The University of Newcastle
  • Time and Date: 1:00 pm, Tue, 2nd Jun 2015
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  • CARMA RHD MEETING
  • Location: V205, Mathematics Building (Callaghan), The University of Newcastle
  • Time and Date: 1:00 pm, Tue, 9th Jun 2015
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  • CARMA RHD MEETING
  • Location: V205, Mathematics Building (Callaghan), The University of Newcastle
  • Time and Date: 1:00 pm, Tue, 16th Jun 2015
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  • CARMA WORKSHOP
  • Mathematics and Computation
  • Location: V205, Mathematics Building (Callaghan), The University of Newcastle
  • Dates: Fri, 19th Jun 2015 - Sun, 21st Jun 2015
  • More information is available on the workshop website.
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  • CARMA RHD MEETING
  • Location: V205, Mathematics Building (Callaghan), The University of Newcastle
  • Time and Date: 1:00 pm, Tue, 23rd Jun 2015
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  • CARMA RHD MEETING
  • Location: V205, Mathematics Building (Callaghan), The University of Newcastle
  • Time and Date: 1:00 pm, Tue, 30th Jun 2015
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  • CARMA WORKSHOP
  • Celebration for Brailey Sims
  • Location: CARMA, Mathematics Building (Callaghan), The University of Newcastle
  • Dates: 9:00 am - 5:00 pm, Fri, 21st Aug 2015
  • For more details please visit the workshop website.
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  • CARMA AND AMSI CONFERENCE
  • Number Theory Down Under
  • Location: VG01, Mathematics Building (Callaghan), The University of Newcastle
  • Dates: Fri, 18th Sep 2015 - Sat, 19th Sep 2015
  • For more information, please visit the conference website.
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  • CARMA CONFERENCE
  • ANZAMP 2015
  • Location: TBAThe University of Newcastle
  • Dates: Wed, 9th Dec 2015 - Fri, 11th Dec 2015
  • More details will be added closer to the event.
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  • CARMA WORKSHOP
  • ANZAMP Satellite Meeting
  • Location:
  • Dates: 9:00 am - 5:00 pm, Sat, 12th Dec 2015
  • Details will be available closer to the event.
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