Priority Research Centre for Computer-AssistedResearch Mathematics and its Applications
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## Upcoming CARMA Events

 THE UNDERGRADUATE TALKS IN MATHEMATICS Speaker: Jesse Fulton, The University of Newcastle Title: Dynamic Symmetry Location: V103, Mathematics Building (Callaghan), The University of Newcastle Time and Date: 12:00 pm, Tue, 13th Oct 2015 Abstract: A motion which is periodic may be considered symmetric under a transformation in time. A measure of the phase relationship these motions have with respect to a geometric figure which is symmetric under some transformation in space is presented. The implications this has on discretised patterns generated is discussed. The talk focuses on theoretical formalisms, such as those which display the fractal patterns of 'strange attractors', rather than group theory for symmetric transformations. [Permanent link] CARMA RHD MEETING Location: V205, Mathematics Building (Callaghan), The University of Newcastle Dates: 1:00 pm - 3:00 pm, Tue, 13th Oct 2015 [Permanent link] CARMA COLLOQUIUM Speaker: Karl Dilcher, Mathematics and Statistics, Dalhousie University Title: Zeros and irreducibility of gcd-polynomials Location: V205, Mathematics Building (Callaghan), The University of Newcastle Time and Date: 4:00 pm, Thu, 15th Oct 2015 Abstract: We study the family of self-inversive polynomials of degree $n$ whose $j$th coefficient is $\gcd(n,j)^k$, for a fixed integer $k \geq 1$. We prove that these polynomials have all of their roots on the unit circle, with uniform angular distribution. In the process we prove some new results on Jordan's totient function. We also show that these polynomials are irreducible, apart from an obvious linear factor, whenever $n$ is a power of a prime, and conjecture that this holds for all $n$. Finally we use some of these methods to obtain general results on the zero distribution of self-inversive polynomials and of their "duals" obtained from the discrete Fourier transforms of the coefficients sequence. (Joint work with Sinai Robins). [Permanent link] CARMA RHD MEETING Location: V205, Mathematics Building (Callaghan), The University of Newcastle Dates: 1:00 pm - 3:00 pm, Tue, 20th Oct 2015 [Permanent link] CARMA NUMBER THEORY SEMINAR Speaker: Dr Faustin Adiceam, University of York Title: Rational approximation and arithmetic progressions Location: V205, Mathematics Building (Callaghan), The University of Newcastle Time and Date: 3:00 pm, Tue, 20th Oct 2015 Abstract: We discuss problems of approximation of an irrational by rationals whose numerators and denominators lie in prescribed arithmetic progressions. Results are both, on the one hand, from a metrical and a non-metrical point of view, and on the other, from an asymptotic and also a uniform point of view. The principal novelty of this theory is a Khintchine-type theorem for uniform approximation in this setup. Time permitting some applications of this work will be discussed. Details to be confirmed. [Permanent link] CARMA COLLOQUIUM Speaker: Dr Faustin Adiceam, University of York Title: How far can you see in a forest? Location: V205, Mathematics Building (Callaghan), The University of Newcastle Time and Date: 4:00 pm, Thu, 22nd Oct 2015 Abstract: We will be answering the following question raised by Christopher Bishop: 'Suppose we stand in a forest with tree trunks of radius $r > 0$ and no two trees centered closer than unit distance apart. Can the trees be arranged so that we can never see further than some distance $V < \infty$, no matter where we stand and what direction we look in? What is the size of $V$ in terms of $r$?' The methods used to study this problem involve Fourier analysis and sharp estimates of exponential sums. [Permanent link] CARMA SEMINAR Speaker: Michael Schonlein, Universität Würzburg Title: tba Location: V205, Mathematics Building (Callaghan), The University of Newcastle Time and Date: 4:00 pm, Fri, 23rd Oct 2015 [Permanent link] CARMA RHD MEETING Location: V205, Mathematics Building (Callaghan), The University of Newcastle Dates: 1:00 pm - 3:00 pm, Tue, 27th Oct 2015 [Permanent link] PHD CONFIRMATION SEMINAR Speaker: Mr Matt Skerritt, School of Mathematical and Physical Sciences, The University of Newcastle Title: TBA Location: V206, Mathematics Building (Callaghan), The University of Newcastle Dates: 10:00 am - 10:30 am, Fri, 30th Oct 2015 [Permanent link] CARMA WORKSHOP ANZAMP Satellite Meeting: Tony Guttman at 70 Location: , Noah's On the Beach Newcastle, NSW Dates: Mon, 7th Dec 2015 - Tue, 8th Dec 2015 Information about this meeting is available at www.guttmann2015.org. [Permanent link] CARMA CONFERENCE ANZAMP 2015 Location: , Noah's On the Beach Newcastle, NSW Dates: Wed, 9th Dec 2015 - Fri, 11th Dec 2015 Information about the meeting is available on the meeting website. [Permanent link] CARMA AND UNIVERSITY OF NEW CALEDONIA CONFERENCE South Pacific Optimization Workshop SPOW 2016 Location: Noumea Dates: Tue, 16th Feb 2016 - Thu, 18th Feb 2016 For information, please visit the workshop website. [Permanent link]

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