Knot Days: Virtual summer school, 15-19 November 2021

The workshop will have three mini-classes, each with lectures and problem sessions.

(1) Introduction to Legendrian Knot Theory (Joan Licata, ANU) 

This class will be broadly accessible, requiring no background in topology. We’ll introduce the basics of general knot theory (diagrams, Reidemeister moves, invariants) alongside features specific to the knot theory in contact three-manifolds.

(2) Character Varieties, A-polynomials and Knots (Stephan Tillmann, Sydney)

Many properties that allow us to distinguish and study knots are not properties of the knot, but rather of the complement of a knot. This three-dimensional space may appear less tangible than the actual knot, but allows the definition of algebraic invariants that encode information about the knot and its complement. This series of lectures focuses on invariants arising from algebraic geometry. These can be used to detect interesting surfaces spanned by knots, to recognise whether a knot is in fact knotted, and to determine whether a knot complement has a geometric structure of constant negative curvature.

These lectures will provide an overview over the main aspects of what is broadly known as Culler-Shalen theory, and describe some key applications. The techniques mix ideas from group theory, algebraic geometry and geometric topology. The level of detail given will depend on the background and interest of the audience.

(3) Jones Polynomial and Volume Conjectures (Dan Mathews, Monash)

Knots can be studied from some very different perspectives, but there are some deep conjectures that unify these perspectives. In this series of lectures we will discuss some of these different perspectives and two of the major conjectures connecting them: the volume conjecture and the AJ conjecture.

Starting from the Jones polynomial, we’ll give an overview of the broad range of ideas around these conjectures, including coloured Jones polynomials, quantum invariants, q-holonomicity, hyperbolic geometry, and skein algebras. No background will be assumed, but some knowledge of abstract algebra will be useful.

See the website for registration and more details.

2021 NSW ANZIAM branch meeting

The New South Wales branch of ANZIAM will hold a one-day mixed virtual and in person meeting (depending on circumstances, may end up purely online) on Friday the 26th of November at NUspace in Newcastle. The meeting will include our AGM.

The meeting will run from approximately 10am to 5.30pm (depending upon the number of speakers).

We are delighted to have Dr Christopher Lustri from Macquarie University, as our keynote speaker

There will be no registration fee.

If you wish to attend, please fill out the following form https://forms.gle/zSUdzaWJ4HkoimeD8 ASAP. 

If attending in person you must fill out the following form as well and present proof of double vaccination on the day.https://forms.office.com/Pages/ResponsePage.aspx?id=nyxUhafqdE6JtaresYH-YMPY_b2B0jtCu0vbPBhEVSxUNU1VODFXRVhJRElVOVdTVlBIVkM5OTZCQS4u

Currently, the deadline for submission of abstracts is 5pm on Monday the 22nd of November.

Conference Dinner

There will be a conference dinner for those attending in person, please note whether you will be attending and any dietary requirements in the form.

Selection of Speakers

In the fortunate event that we are over-subscribed with speakers priority will first be given to students and ECR, with preference given to NSW ANZIAM members. If there are slots remaining for established researchers, preference will again be given to NSW ANZIAM members.

Student Prize

There will be a prize for the best student speaker.

Organisers

Fillipe Georgiou and Kyle Stevens,
School of Mathematical and Physical Sciences, University of Newcastle

Supported by

Research Fellow/Senior Research Fellow in Statistical Data Science@UWollongong

Faculty of Engineering & Information Sciences – School of Mathematics & Applied Statistics/ NIASRA

  • Fixed Term, full-time appointment (3 years, commencing April 2022)
  • Level B/C :  $104,870 – $127,382 + 17% superannuation

Closing date: 17 December 2021 23:59 AET

The National Institute for Applied Statistics Research Australia at the University of Wollongong, Australia, invites applications for a Research Fellow/Senior Research Fellow to join the Institute and the Data Science Team in the Research Hub for Transforming energy Infrastructure through Digital Engineering (TIDE).  The successful candidate will provide critical support through methodological development in Statistical Data Science to meet challenges faced in the energy sector. Areas of research include (and are not limited to)  

  • Statistical spatial and spatio-temporal modelling;  
  • Physical-statistical modelling; 
  • Bayesian inference and uncertainty quantification;  
  • Optimal design;  
  • Statistical machine learning;  
  • Time series modelling.  

 The appointee will collaborate closely with researchers at NIASRA, as well as other members of the Hub, which is based at the University of Western Australia. This is a vibrant and active research environment comprising inter-disciplinary expertise in oceanography, engineering, and data science. The successful candidate will have, or be close to having, a PhD in Statistics or a closely related discipline, good statistical modelling skills, good programming skills, and good communication skills. The position is for three years, with a possibility for extension.

For selection criteria, and to apply, please visit  https://ejgl.fa.ap1.oraclecloud.com/hcmUI/CandidateExperience/en/sites/CX_1/job/1871/?lastSelectedFacet=TITLES&mode=location&selectedTitlesFacet=RESEARCH_ONLY

Any queries should be directed to Andrew Zammit-Mangion