# 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

Dominic Tate (Sydney University)

Introduction to (G, X)-Structures

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Monday March 13

Eric Hester (Sydney University)

Fresh Insights on Dead Water

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Monday March 20

Giulia Codenotti (Freie University, Berlin)

Triangulated spheres and Pachner moves

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Monday March 27

Jakub Tomczyk (Sydney University)

Gaussian Product Conjecture

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Monday April 03

Alexander Majchrowski (Sydney University)

Mean curvature flow with surgeries and the level set flow

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Monday April 10

Inflammation and PDEs Structured in Cellular Quantities

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Monday April 24

Alexander Kerschl (Sydney University)

Solving polynomial equations with radicals or why there are no general solutions for polynomial equations of degree 5 and higher

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Monday May 01

Monday May 08

Philip Bos (Sydney University)

Modular Forms and Number Theory - an insight into the Ramanujan conjectures

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Monday May 15

Tetrahedron centres over a general metrical framework

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Monday May 22

Monday May 29

Joel Gibson (Sydney University)

A different approach to representations of the symmetric group

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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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