Dr Joe Macmillan

Teaching Fellow in Mathematics

Mathematics

j.b.macmillan@swansea.ac.uk

About

I am a Teaching Fellow in the Department of Mathematics at Swansea University. My main research is in Analytic Number Theory, where I study the asymptotic behaviour of Moments of Dirichlet L-functions in function fields.

Areas Of Expertise

Number Theory
Analytic Number Theory
Algebraic Number Theory
Random Matrix Theory

Publications

Research Highlights

Macmillan, J. (n.d.) A Note on Twisted Moments of Dirichlet L-functions. Glasgow Mathematical Journal
https://doi.org/10.1017/S0017089525100785, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa70252

All Research

Journal Articles

Macmillan, J. (n.d.) A Note on Twisted Moments of Dirichlet L-functions. Glasgow Mathematical Journal
https://doi.org/10.1017/S0017089525100785, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa70252

Taught Modules

MA-004 Fundamental Geometry

This module introduces some essential geometric tools covering the basics of trigonometry, coordinate geometry, vectors and matrices.
MA-006 Fundamental Mathematics

This module covers some important basic topics in mathematics introducing students to polynomials, functions, inequalities, sequences, series, exponentials and logarithms.
MA-201 Multi-variable analysis

The module introduces fundamental concepts of the analysis in n-dimensional spaces such convergence, continuity, differentiability, integrability and elements of vector calculus.
MA-202 Metric spaces and measure theory

The module extends ideas such as continuity and convergence to metric spaces and introduces key concepts in the general theory of measure and Lebesgue integration.

Dr Joe Macmillan

Email address

About

Areas Of Expertise

Publications

Research Highlights

All Research

Journal Articles

Taught Modules

MA-004 Fundamental Geometry

MA-006 Fundamental Mathematics

MA-201 Multi-variable analysis

MA-202 Metric spaces and measure theory