# The Undergraduate Talks in Mathematics

## Tuesday, 3rd Mar 2015

V103, Mathematics Building

# An Infinite Problem

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

# CARMA RHD Meeting

## Thursday, 5th Mar 2015

V205, Mathematics Building

# Laureate Prof Jon Borwein

(CARMA, The University of Newcastle)

# CARMA Discrete Mathematics Seminar

## Thursday, 5th 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

## Thursday, 5th 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

## Thursday, 12th Mar 2015

V205, Mathematics Building

Details to be updated later.

# Prof David Bailey

(Berkeley, California)

# CARMA Colloquium

## Thursday, 12th Mar 2015

V205, Mathematics Building

# Laureate Prof Jon Borwein

(CARMA, The University of Newcastle)

# CARMA RHD Meeting

## Thursday, 19th Mar 2015

V205, Mathematics Building

Details to be updated later.

# CARMA RHD Meeting

## Thursday, 26th Mar 2015

V205, Mathematics Building

Details to be updated later.

# Spring School on Variational Analysis VI

## Sunday, 19th Apr 2015

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.

# Newcastle Maths Educators Conference

## Friday, 1st May 2015

Mathematics Building

Details will be available on the conference webpage.

# Mathematical Logic and Philosophy

## Friday, 8th 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.

# Mathematical Logic and Philosophy

## Friday, 15th 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.

# Mathematical Logic and Philosophy

## Friday, 22nd 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.

# ANZAMP 2015

## Wednesday, 9th Dec 2015

More details will be added closer to the event.

# ANZAMP Satellite Meeting

## Saturday, 12th Dec 2015

More details will be added closer to the event.