MATHEMATICS · FINANCE · RESEARCH

Exploring the
logic behind
the world.

I'm Matthew Roche, a Mathematics and Finance undergraduate at the University of York, interested in the questions that connect mathematical theory to real-world problems.

Portrait of Matthew Roche
BASED IN THE UK/STUDYING AT YORK
SCROLL TO DISCOVER
PROBABILITY THEORY✳MATHEMATICAL FINANCE✳STOCHASTIC PROCESSES✳NUMERICAL METHODS✳COMPUTATIONAL MODELLING
01ABOUT ME

Driven by curiosity.
Grounded in mathematics.

I am a BSc Mathematics and Finance undergraduate at the University of York, passionate about mathematical research, quantitative finance and computational modelling.

My primary academic interests span mathematical finance, probability theory, stochastic processes and numerical methods for complex analytical problems.

Alongside my degree, I develop practical programming and quantitative skills using Python, R, SQL, Excel and LaTeX. I'm particularly interested in the intersection of artificial intelligence, mathematical reasoning and statistical frameworks for modelling real-world systems.

I'm always open to connecting with academics, quantitative researchers and industry professionals working in quantitative finance and applied mathematics.

Mathematical modellingQuantitative financeProgrammingApplied research
02ACADEMIA

A foundation for
what comes next.

Academic background, selected modules and areas that currently shape my interests.

CURRENT EDUCATION 2025 — 2028 (EXPECTED)UNIVERSITY OF YORK

BSc Mathematics
& Finance

An interdisciplinary degree developing foundations in rigorous mathematics, economics, finance and quantitative analysis.

FIRST-YEAR AVERAGE
72%

Across six first-year modules

HIGHEST MODULE MARK
86%

Multivariable Calculus & Matrices

First-year results

2025 / 2026 · 20 CREDITS PER MODULE
MODULECODEMARKPERFORMANCE
Multivariable Calculus & MatricesMAT00014C86%
Data, Evidence & PolicyECO00019C75%
Principles of EconomicsECO00023C73%
Foundations & CalculusMAT00012C70%
Introduction to FinanceECO00021C66%
Introduction to Probability & StatisticsMAT00004C61%

Earlier education: A Levels in Business, Computer Science and Mathematics (ABB).

BEYOND THE CLASSROOM

Technical toolkit

PROGRAMMING

Python · R · SQL · Visual Basic

TOOLS & WORKFLOWS

Excel · LaTeX · Git / GitHub · SQL Server

MATHEMATICAL FOUNDATIONS

Calculus · Linear algebra · Probability · Statistics

03SELECTED PROJECTS

Theory into practice.

A selection of programming and data projects where mathematics meets practical problem-solving.

01 / MARKET ANALYSISPYTHON + R
20212025
RACE RESULTS↔EQUITY RETURNS
DATA ANALYSIS · INDEPENDENT PROJECT

Formula 1 & the
stock market

Built a dataset of 684 race-linked observations spanning the 2021–2025 Formula One seasons, combining race results with equity-price data to investigate relationships between sporting outcomes and stock returns.

PythonRFinancial dataData analysis
View GitHub repository
02 / SOFTWARE ENGINEERINGPYTHON + SQL
DATABASE DESIGN↔DESKTOP APPLICATION
SOFTWARE DEVELOPMENT · A-LEVEL PROJECT

Employee management
system

Designed a database-backed desktop application with employee records, absence tracking, training information and reporting, using a relational SQL Server database and a Python interface.

PythonTkinterSQL ServerOOP
View GitHub repository
More of my work is on GitHub
04RESEARCH & WRITING

Questions worth asking.

A place for ongoing investigations, mathematical ideas and technical writing as they develop.

∑
RESEARCH
00

Research & working papers

Current investigations, research notes, academic posters and working papers will be collected here.

Research library in progressEntries will be added as projects develop.
✎
ARTICLES
00

Articles & perspectives

Accessible explanations, longer essays and occasional thoughts on mathematics, economics, finance and computation.

Articles coming soonNew writing will appear in this space.

Good questions lead to better models. Better models lead to a deeper understanding.

05TUTORING

Making difficult ideas
feel achievable.

One-to-one tutoring grounded in clear explanations, patience and carefully prepared materials.

PRIVATE TUTORING · 2025 — PRESENT

Individual support.
Lasting understanding.

I provide private tutoring in Mathematics, Business and Computer Science, supporting students across KS3, GCSE and A Level. Lessons are adapted to each student's goals, whether building foundations, mastering difficult topics or preparing for examinations.

Enquire about tutoring
HUNDREDS OFhoursOF ONE-TO-ONE TEACHING
01 /

Personalised lessons

Teaching tailored to the learner's level, strengths and areas for improvement.

02 /

Original resources

Custom LaTeX worksheets, practice papers, worked solutions and revision materials.

03 /

Exam-focused support

Structured revision, problem-solving strategies and careful practice with exam-style questions.

TEACHING LIBRARY

Revision materials & resources

Worksheets, revision guides and practice papers will be added here as a downloadable resource library.

Resources coming soon
06CONTACT

OPEN TO ACADEMIC CONVERSATIONS, INDUSTRY CONNECTIONS & TUTORING ENQUIRIES

Let's start a
conversation.

matthewroche46@gmail.com

Interested in quantitative research, applied mathematics, a project collaboration or tutoring? I'd be pleased to hear from you.

+44 (0)7754 931683