Proof and analysis
Working with definitions, constructing proofs, finding counterexamples and understanding the reasoning behind results.
Individual online tuition
University maths.
Support that makes sense.
University mathematics asks you to think in new ways. I offer individual support with selected undergraduate modules, helping you understand the ideas, work through unfamiliar problems and write clear mathematical arguments.
Cambridge Mathematics graduate · Bristol PhD researcher · University teaching and marking experience
Subjects and modules
Build understanding.
Then put it to work.
Support draws on my undergraduate teaching, marking and research experience. Module names and content vary between universities, so please send your syllabus when enquiring.
Linear algebra
Vectors, matrices, linear maps, eigenvalues and the connections between calculation and geometric interpretation.
Probability and statistics
Making sense of probability models, random variables and statistical reasoning, with careful attention to assumptions.
Calculus and differential equations
Understanding techniques, choosing an appropriate method and interpreting solutions in the context of a problem.
Applied and engineering mathematics
Using mathematical methods to formulate physical problems, connect topics and interpret what a calculation tells you.
Fluid dynamics and continuum mathematics
Conservation laws, physical assumptions and mathematical models, drawing on my Cambridge supervisions and fluid dynamics research.
Have a particular module in mind? Send the module title, syllabus and a few representative questions. I will confirm whether I can help with the topics and level you need. Discuss your module →
Relevant experience
Experience on both sides of the problem sheet.
I studied Mathematics at Cambridge and am a PhD researcher in fluid dynamics at Bristol. Alongside my research, I have taught and assessed university mathematics, from introductory pure mathematics to advanced fluid dynamics.
That experience informs how I explain difficult ideas, identify where an argument needs more work and help students become more independent.
More about my background →- Cambridge undergraduate supervisionsPart II Fluid Dynamics II · Cambridge colleges
- I supervised 29 students across ten colleges in 2024/25 and 2025/26, marking written work and leading example-sheet and revision supervisions.
- Bristol university teachingGraduate Teacher Level 1 and Demonstrator · September 2023–January 2026
- I taught tutorials in Probability and Statistics and Introduction to Pure Mathematics, and demonstrated Engineering Mathematics, Methods of Applied Mathematics, Applied Linear Algebra and Continuum Mathematics. I also provided engineering mathematics drop-in support.
- Undergraduate coursework markingUniversity of Bristol · 2024–2025
- My marking experience includes Applied Analysis B, Probability and Statistics, Applied Linear Algebra, Engineering Mathematics and Introduction to Pure Mathematics.
- MSc research project supportUniversity of Bristol
- I have provided day-to-day guidance for an MSc research project investigating how density layers develop from single and twin buoyant plumes.
How lessons work
Start with where you are stuck.
Sessions can focus on a particular difficulty, regular support through a module or preparation for an examination.
Share your course and your attempts
Send the relevant lecture notes, questions and any work you have tried, so the lesson can focus on the ideas you need to understand.
Work through the reasoning together
We explore definitions, examples and approaches through questions and discussion. You explain your thinking as we build a clear solution.
Apply it independently
We identify what to practise next and review recurring difficulties, so you can use the ideas confidently in new problems.
Tell me about your module.
Include your university, degree, year of study and the topics you would like help with. If you are preparing for an exam, let me know the date.