Miss Olivia Auster

Profile

My research is in Probability Theory and Random Matrix Theory. After the derivation of a few analytical results formulating the limiting distributions of extreme moduli of matrices the complex Ginibre ensemble and its generalisation, the complex induced Ginibre ensemble, my my research are now devoted to the study of the spatial point processes of non-Hermitian ensembles.

Supervisor: Professor Boris Khoruzhenko

Teaching

Teaching Associate for undergraduate students in Mathematics. Plan and conduct teaching sessions.

October 2026 - December 2026

For Year 2 Students in Mathematics

Modules:

. Applied Linear Algebra

. Probability and Statistics

February 2026 - May 2026

For Year 1 Students in Mathematics

Module:

. Vectors and Matrices

October 2025 - December 2025

For Year 1 Students in Mathematics

Modules:

. Numbers, Sets and Functions (NSF)

. Introduction to Analysis with Calculus

. Probability and Statistics

October 2024 - December 2024

For Year 1 Students in Mathematics

Modules: 

. Numbers, Sets and Functions (NSF)

. Introduction to Analysis with Calculus

Research

Research Interests:

My research interests are in Random Matrix Theory and related fields such as Probability Theory, Stochastic Analysis and Linear Algebra.

Publications

Here are my papers as a sole author. 

. Olivia V. Auster, The Half-Normal Rayleigh distribution of the scaled minimum modulus for the complex Ginibre ensemble, submitted, 2025.

. Olivia V. Auster, Limit Theorems for non-Hermitian Ensembles, ArXiv Preprint, 2025, arXiv:2505.04828.

Performance

Conferences as a Speaker

• 1 September 2026. The 49th Research Students’ Conference in Probability and Statistics at the University of Cambridge (31 August 2026 - 4 September 2026). 

Title : Limit Theorems at the centre and the edge of non-Hermitian ensembles

• 21 November 2025.  The Mathematical Physics Seminars at The University of Bristol

         Title: Limit Theorems for Non-Hermitian Ensembles

• 29 October 2025.  Probability and Applications Seminars at Queen Mary University of London

        Title: Limit Theorems for Non-Hermitian Ensembles