Theses

Postgraduate and Undergraduate Research

My research has included applied mathematics in proton beam radiotherapy treatment plans, statistical modelling in the application of compositional data analysis to causes of death by gender and age. Both theses are linked below, with supporting materials where available.

Tania Morales

MSc Dissertation

University of Bath, MSc Mathematics with Data Science for Industry, 2023.

Title

Proton Beam Therapy Treatment Planning

Abstract

[Insert a 200 to 300 word English abstract describing the research question, methods, data, and key findings. Aim for a non-specialist reader: a recruiter or hiring manager should be able to follow the gist without a statistics background.]

Methods

Key methods used: [for example, regression analysis, Bayesian inference, simulation, machine learning]. Implementation in [R / Python] with full code and reproducible workflow.

Supervisor

Dr. Tristan Pryer, University of Bath


BSc Thesis

ITAM Mexico City, BSc Actuarial Science

Title

[Spanish title]
[English translation of the title]

Abstract

[Insert a 200 to 300 word English abstract. Frame the work for a UK or international research audience: explain what compositional data analysis is in one sentence, describe the dataset (causes of death in Mexico), summarise the methodological contribution, and note what the findings reveal. Highlight transferability of the methods to other domains such as microbiome data, time-use studies, or any setting where data sums to a constant.Compositional data analysis is genuinely useful in microbiome research, drug formulation, and several areas of epidemiology]

Methods

Compositional data analysis applied to mortality data, with implementation in R. Methods drew on the Aitchison framework for analysing data constrained to a simplex.

English-language presentation

Presented in English at the University of Edinburgh Statistical Research Skills course in 2025. The slides below give an accessible overview of the research and findings for an English-speaking audience.