# The Undergraduate Talks in Mathematics

## 12:00 pm

## Tuesday, 3^{rd} Mar 2015

**V103, Mathematics Building**

# Elliot Catt

*An Infinite Problem*

A look into infinity, a few famous problems, and a little bit of normality.

# CARMA RHD Meeting

## 12:00 pm

## Thursday, 5^{th} Mar 2015

**V205, Mathematics Building**

# Laureate Prof Jon Borwein

(CARMA, The University of Newcastle)*Witten Zeta functions and Hilbert Matrices*

# CARMA Discrete Mathematics Seminar

## 2:00 pm

## Thursday, 5^{th} Mar 2015

**V106, Mathematics Building**

# Dr Yuqing Lin

(School of Electrical Engineering and Computer Science, The University of Newcastle)*The number of maximal state circles of plane graphs*

It is well known that there is a one-to-one correspondence between signed plane graphs and link diagrams via the medial construction. The relationship was once used in knot tabulations in the early time of study in knot theory. Indeed, it provides a method of studying links using graphs. Let $G$ be a plane graph. Let $D(G)$ be the alternating link diagram corresponding to the (positive) $G$ obtained from the medial construction. A state $S$ of $D$ is a labeling each crossing of $D$ by either $A$ or $B$. Making the corresponding split for each crossing gives a number of disjoint embedded closed circles, called state circles. We call a state which possesses maximum number of state circles a maximum state. The maximum state is closely related to the genus of the corresponding link, thus has been studied. In this talk, we will discuss some of the recent progress we have made on this topic.

# CARMA Colloquium

## 4:00 pm

## Thursday, 5^{th} Mar 2015

**V205, Mathematics Building**

# Stephan Harrap

(Department of Mathematical Sciences, Durham University)*Topological games, Cantor sets and Diophantine approximation: An introduction*

When attacking various difficult problems in the field of Diophantine approximation the application of certain topological games has proven extremely fruitful in recent times due to the amenable properties of the associated 'winning' sets. Other problems in Diophantine approximation have recently been solved via the method of constructing certain tree-like structures inside the Diophantine set of interest. In this talk I will discuss how one broad method of tree-like construction, namely the class of 'generalised Cantor sets', can be formalized for use in a wide variety of problems. By introducing a further class of so-called 'Cantor-winning' sets we may then provide a criterion for arbitrary sets in a metric space to satisfy the desirable properties usually attributed to winning sets, and so in some sense unify the two above approaches. Applications of this new framework include new answers to questions relating to the mixed Littlewood conjecture and the $\times2, \times3$ problem. The talk will be aimed at a broad audience.

# CARMA RHD Meeting

## 12:00 pm

## Thursday, 12^{th} Mar 2015

**V205, Mathematics Building**

Details to be updated later.

# Prof David Bailey

(Berkeley, California)*tba*

# CARMA Colloquium

## 4:00 pm

## Thursday, 12^{th} Mar 2015

**V205, Mathematics Building**

# Laureate Prof Jon Borwein

(CARMA, The University of Newcastle)*I prefer Pi, a talk for 3.14.15*

# CARMA RHD Meeting

## 12:00 pm

## Thursday, 19^{th} Mar 2015

**V205, Mathematics Building**

Details to be updated later.

# CARMA RHD Meeting

## 12:00 pm

## Thursday, 26^{th} Mar 2015

**V205, Mathematics Building**

Details to be updated later.

# External Event

*Spring School on Variational Analysis VI*

## 9:00 am

## Sunday, 19^{th} Apr 2015

[Paseky nad Jizerou]Following a longstanding tradition, the Faculty of Mathematics and Physics of Charles University in Prague and the Academy of Sciences of the Czech Republic will organize the Spring School on Variational Analysis VI. The School will be held in Paseky nad Jizerou, in a chalet in the Krkonose Mountains, April 19 - 25, 2015. The program will consist of series of lectures on Variational Analysis and its Applications.

The lectures will be given by

- Jonathan M. Borwein (The University of Newcastle, Australia)

Theory and Applications of Convex and Non-convex Feasibility Problems - Marian Fabian (Academy of Sciences of the Czech Republic)

Separable Reductions and Rich Families in Theory of Frechet Subdifferentials - Alexander Ioffe (Technion, Haifa, Israel)

Variational Analysis and Optimization Theory - David Russel Luke (Georg-August-Universitaet Goettingen, Germany)

Variational Methods in Numerical Analysis

Further informations can be found on the website http://www.karlin.mff.cuni.cz/katedry/kma/ss/apr15.

# CARMA Workshop

*Newcastle Maths Educators Conference*

## 9:00 am

## Friday, 1^{st} May 2015

**Mathematics Building**

Details will be available on the conference webpage.

# CARMA and AMSI Lecture Series

*Mathematical Logic and Philosophy*

## 2:00 pm

## Friday, 8^{th} May 2015

**V206, Mathematics Building**

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.**

• Download Lecture Tour Flyer ("2015 Lecture Tours") [424 KB]

# CARMA and AMSI Lecture Series

*Mathematical Logic and Philosophy*

## 2:00 pm

## Friday, 15^{th} May 2015

**V206, Mathematics Building**

Four lectures by Professor Jeremy Avigad (Department of Philosophy and the Department of Mathematical Sciences, Carnegie Mellon University). This is the fourth lecture.

• Download Lecture Tour Flyer ("2015 Lecture Tours") [424 KB]

# CARMA and AMSI Lecture Series

*Mathematical Logic and Philosophy*

## 2:00 pm

## Friday, 22^{nd} May 2015

**V206, Mathematics Building**

Four lectures by Professor Jeremy Avigad (Department of Philosophy and the Department of Mathematical Sciences, Carnegie Mellon University). This is the third lecture.

• Download Lecture Tour Flyer ("2015 Lecture Tours") [424 KB]

# CARMA Conference

*ANZAMP 2015*

## 9:00 am

## Wednesday, 9^{th} Dec 2015

More details will be added closer to the event.

# CARMA Workshop

*ANZAMP Satellite Meeting*

## 9:00 am

## Saturday, 12^{th} Dec 2015

More details will be added closer to the event.