Yeeka Yau

University mathematics educator at The University of Sydney. Previously, I was an Assistant Professor in the Department of Mathematics & Statistics at The University of North Carolina Asheville, NC, USA and a Visiting Assistant Professor at Furman University, SC, USA. Prior to that, I was a Postdoc at The University of Sydney, where I also completed my PhD in 2021. My advisor was James Parkinson.

Email:	yeeka dot yau @ sydney dot edu dot au

Teaching

My primary professional focus is to provide outstanding mathematics and statistics instruction and to enrich students' learning journey in mathematics courses. I enjoy teaching at all levels and helping to make the joy of mathematics and statistics accessible to as many people as possible. In particular, I strive to create a learning environment which is supportive, inclusive and encourages students to connect with mathematics technically, socially and emotionally. In my current role as a part of the Learning Hub (mathematics) group, I am teaching the following supplementary learning tutorials:

MATH1062 Mathematics 1B (Differential Equations and Statistics)
DATA1001/1901 Foundations of Data Science
PSYC2012 Statistics and Research Methods for Psychology

At UNC Asheville, in the Fall 2023, I taught:

MATH167 Precalculus
STAT225 Calculus based Statistics

Research Interests

My research interests are in Coxeter groups, Hecke algebras, algebraic combinatorics and connections between group theory and automata theory. Recently, I have also developed an interest in historical cryptology.

Here is my CV.

Papers and Preprints

Ultra-Low elements and Join Irreducible gates in Coxeter Groups
(Y. Yau)
(Preprint) (2024) (pdf)

A pair of Garside shadows.
(P. Przytycki, Y. Yau)
(Accepted) To appear in Algebraic Combinatorics (2024) (pdf)

An artificial neural network approach to finding the key length of the Vigenère cipher.
(C. Millichap, Y. Yau)
Cryptologia, 1-17 (2023) (pdf)

Modifying twist algorithms for determining the key length of a Vigenère cipher.
(C. Millichap, Y. Yau, A. Pate and M. Carns)
Cryptologia 1-16 (2023) (pdf)

Cone types, automata, and regular partitions in Coxeter groups.
(J. Parkinson, Y. Yau)
Advances in Mathematics, vol 398 (2022) (pdf)

Coxeter Systems for which the Brink-Howlett automaton is minimal.
(J. Parkinson, Y. Yau)
Journal of Algebra, Volume 527, June 2019, p437-446 (2019) (pdf) Online Publication

Other

Automatic Structures for Coxeter Groups
(Y. Yau)
Phd Thesis University of Sydney (2021) (University Library Link)

Emmie Maelee and Maisie Shae
(C. Yau, Y. Yau)
(Work in progress) (Link)

Some Code and Web Applications

Key Length Finder: A small web application with various statistics related to finding the key length of a Vigenère cipher.
Google Colab notebook - Introducing Python for Statistics and Data Analysis This notebook was used for my MATH120 - Introduction to Statistics class at Furman. The notebook implements many of the examples from the textbook Statistics - Unlocking the Power of Data (3rd Edition) using the data sets found at Lock Datasets (and this is me meeting the Lock's at JMM in 2023 in the Stats Education session!).
Google Colab notebook implementing affine Weyl groups and sign types in Python