# Mathematics Postgraduate Seminar Series

To be added to or removed from the mailing list, or for any other information, please contact Alex Casella, Adrienne Jenner, or Dominic Tate.

## Seminars in 2017, Semester 1

The seminars will be held at 5:00 pm on Mondays in Carslaw Room 535A.

Monday March 6

Monday March 13

Monday March 20

Monday March 27

Monday April 03

Monday April 10

Monday April 24

Monday May 01

Monday May 08

Monday May 15

Monday May 22

Monday May 29

Monday June 05

## Seminars in 2016, Semester 2

Monday July 25

Michael Twiton (Sydney University)

Introduction To The Painleve' Equations

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Monday August 1

Robert Tang (Postdoc University of Oklahoma)

Wall spaces and CAT(0)-cube complexes

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Monday August 8

Bernard Ikhimwin (Sydney University)

Computational modelling of the lymphatic vascular system

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Monday August 15

George Papadopoulos (Sydney University)

What is "mathematics education" and why should we care?

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Monday August 22

Timothy Bywaters (Sydney University)

An introduction to scale theory for totally disconnected locally compact groups.

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Monday August 29

Montek Gill (University of Michigan)

Stiefel-Whitney classes and real division algebras

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Monday September 5

Kamil Bulinski (Sydney University)

Equidistribution and Unique Ergodicity

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Monday September 12

Edwin Spark (Sydney University)

The McKay Correspondence: An introduction to ADE Classification

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Monday September 19

Alex Casella (Sydney University)

Geometric Structures and FG Moduli Space

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Monday October 10

Mark Greenaway (Sydney University)

Music: A Mathematical Offering

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Monday October 17

Sean Carnaffan (Sydney University)

Numerically solving Fractional Fokker-Planck equations

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Monday October 24

On Property (T) and amenability

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## Seminars in 2016, Semester 1

Monday February 29

Daniel Hauer (Ass. Lecturer Sydney University)

A nonlinear interpolation result with application to nonlinear semigroups

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Monday March 7

Marcus Webb (Cambridge University)

Computing the Spectrum of an Infinite Matrix

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Monday March 14

Alex Casella (Sydney University)

An Introduction to Toric Varieties

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Monday March 21

Robert Haraway (Postdoc Sydney University)

Chern's proof of Gauss-Bonnet

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Monday April 4

Diophantine Approximation and Liouville's Number

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Monday April 11

James Diaz (Cambridge University)

Handlebodies and the high-dimensional Poincare conjecture

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Monday April 18

Alexander Kerschl (Sydney University)

Young tableaux and their application in the representation theory of the symmetric group

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Monday May 2

Dominic Tate (Sydney University)

An Introduction to Discrete Morse Theory

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Monday May 9

Alexander Majchrowski (Sydney University)

Mean Curvature Flow Surgery - How to deal with necks

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Monday May 16

Lax pair equations and harmonic maps

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Monday May 23

Ross Ogilvie (Sydney University)

Stratified Morse Theory

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Monday May 30

Rational trigonometry of a tetrahedron

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## Seminars in 2015, Semester 2

Wednesday August 5

James Diaz (Sydney University)

Morse Theory and Morse Homology: Critical Points

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Wednesday August 12

Robert Haraway (Boston College)

Binary quadratic forms after Conway and Eindhoven

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Wednesday August 18

Christopher Ryba (Sydney University)

An Introduction to Representation Theory

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Wednesday August 26

Makoto Suwama (Sydney University)

The ideal class group: An introduction to algebraic number theory

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Wednesday September 2 - Social Event

Wednesday September 9 - Fourth Year Joint Talk

Abraham Ng (Sydney University) & Hao Guo (Sydney University)

Proof of the Fundamental Gap Conjecture & Witten's Deformation and the Morse Inequalities

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Wednesday September 16 - Fourth Year Joint Talk

Joshua Ciappara (Sydney University) & Dominic Tate (Sydney University)

Categorification of Quantum sl_2 & Teichmuller space on surfaces

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Wednesday September 23

Danya Rose (Sydney University)

Geometric phase and periodic orbits in the equal-mass, planar three-body problem with vanishing angular momentum

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Wednesday September 30 - Mid-Semester Break

Wednesday October 7 - Mid-Semester Break

Wednesday October 14

Alex Casella (Sydney University)

A baby step towards (linear) Lie Groups and Lie Algebras for non--experts

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a) Basic definitions;

b) The exponential map and its properties;

c) Von Neumann and Cartan Theorem;

The talk is based on the book: "Notes on differential geometry and Lie Groups - Jean Gallier"Wednesday October 21

Sasha Fish (Sydney University)

A (mega)-brief introduction to Ergodic Theory

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a) Ergodic theorems;

b) Normal numbers in [0,1], and their connection to Birkhoff ergodic theorem;

c) Poincare recurrence;

d) Multiple recurrence and non-standard ergodic averages;

e) Szemeredi theorem on arbitrary long arithmetic progressions in sets of positive density.

Wednesday October 28

Alexander Kerschl (Sydney University)

Introduction to cellular algebras and their representation theory

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## Seminars in 2015, Semester 1

The seminars will be held at 5:00 pm on Thursdays in Carslaw Room 535A.

Thursday March 5

Adrienne Jenner (Sydney University)

Mathematical model of cancer treatments using oncolytic viruses and immunotherapy.

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Thursday March 12

Joachim Worthington (Sydney University)

Some steady states solutions of the Euler equations on a toroidal domain and their stability.

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Thursday March 19

Andrew Swan (Sydney University)

Introduction to Random Matrix Theory.

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Friday March 27

Alex Casella (Sydney University)

3-manifolds and hyperbolic geometry.

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Thursday April 3

Patrick Eades (Sydney University)

Free Lie Algebras and the Symmetric Group.

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Friday April 17

Christopher Ryba (Sydney University)

A connection between formal power series for solutions to ODEs and the combinatorics of rooted trees.

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Friday April 24

Montek Gill (Sydney University)

Computing the universal cover and fundamental group of triangulated 3-manifolds.

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Thursday April 30

Christopher Thornett (Sydney University)

Forms and Semigroups: Modern Methods for Evolution Equations

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Thursday May 7

Marcus Webb (Cambridge University)

An Introduction to Geometric Integration via Runge-Kutta Methods

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Thursday May 14

Sean Carnaffan (Sydney University)

Anomalous diffusion processes

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Thursday May 21

Ishraq Uddin (Sydney University)

A gentle introduction to topological quantum computation

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Thursday May 28

Kamil Bulinski (Sydney University)

Ergodic Plunnecke inequalities

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