I enjoy teaching mathematics through practical and geometric interpretations to problems. In particular, I am a very geometrically minded individual (geometry and topology is the area of mathematics that I have specialised in). I enjoy teaching problems as a way of formalising a geometric intuition, and ensure that I have multiple explanations of an approach.
I ensure that I am always well prepared, and that I have a deep knowledge of the area that I am tutoring. This ensures that I can answer any potential questions, and I enjoy sharing my knowledge and approach to mathematics. I enjoy opportunities to tutor all areas of mathematics, and enjoy sharing my passion for the subject.
I have recently completed my PhD in pure mathematics (more particularly in the simplicial homotopy theory of stratified spaces). Prior to my PhD, I completed my MSc in Pure Mathematics and Mathematical Logic, and I completed my BSc (Hons) at the University of Warwick.
As such, I am looking for opportunities to tutor mathematics and related areas to students ready to engage with the subject. I have taught a wide variety of undergraduate mathematics modules at the University of Liverpool, and I have been a tutor for the Further Mathematics Support Programme during my time as a PhD student.
Stephen Nand-Lal BSc (Hons), MSc, PhD, AMIMA
Completed my PhD in Pure Mathematics at the University of Liverpool
Awaiting graduation after completion of my PhD in pure mathematics. My PhD research develops a simplicial model structure to study the homotopy theory of stratified spaces. Highly motivated, committed and driven to use my knowledge and mathematical ability to build a successful career as a tutor. Looking to tutor any area of mathematics, and can offer a particular specialism in the areas of geometry. I am happy to teach any individuals mathematics, and enjoy changes to share my passion and knowledge of the subject.
PhD in Mathematics; December 2014-February 2019 The University of Liverpool
EPSRC funded PhD studentship (Ref: 1545580) awarded to study homotopy theory of stratified spaces. Thesis title: A Simplicial Approach To Stratified Homotopy Theory.
Researched under the supervision of Dr. Jon Woolf, with secondary supervisor Dr. Oleg Karpenkov. Thesis submitted at the end of November 2018, which was successfully defended in February 2019. During my PhD, I have become an expert in the homotopy theory of stratified spaces. I used my under- standing to develop original research that is built upon in my thesis, and my contribution to mathematics. Aside from my PhD research, in July 2018 I attended a Summer School on Topological Data Analysis applied to Banking and Finance. The idea of this summer school was that the first week taught us the theoretical background and technical tools. In the second week of the summer school, we applied the tools of TDA to a data set that we were provided by ScotiaBank, containing information for 60,000 clients over a 6 month period and 8 of their monthly banking features. By applying these tools, we were able to cluster the data set that we were provided, we managed to cluster clients by similar banking features. In the long run, these tools could be applied to detect suspicious banking behaviour, and potential money laundering.
MSc (with Distinction) in Pure Mathematics and Mathematical Logic;
The University of Manchester September 2013-August 2014 Thesis title: Wild Embeddings of Cantor Sets.
Project title: The Links Between Cantor Sets And Wild Geometry.
I was fortunate to complete my research projects under the supervision of Professor Nigel Ray.
My MSc consisted of a research project undertaken during my second semester, alongside taught modules. My thesis was written over the three month Summer period, summarising historic research on the topic and the latest results, whilst also containing some original thoughts and ideas.
BSc (Hons) in Mathematics; October 2010-June 2013 The University of Warwick
Project title: An Introduction To Polynomial Invariants Of Knots.
My project was written as an introductory level exposition of Knot Theory, completed during the second year of my BSc. It outlined the background and motivation for studying polynomial invariants of knots. Aside from mathematics, I studied Accounting, Finance, Philosophy, Physics, and Theoretical Neuroscience.
A-Levels and Equivalents; September 2008-June 2010 Churston Ferrers Grammar School
A-Levels: Mathematics (A*), Further Mathematics (A), Chemistry (A), Economics (A), Physics (A) Mathematics Qualifications: STEP I (Grade 2), Advanced Extension Award in Mathematics (Merit).
Teaching; At the University of Liverpool, I have had various chances to teach and tutor undergraduate mathematics modules, as well as marking assignments and exams. I enjoy using my strong verbal communication skills to communicate complex mathematical concepts, and to educate students through my teaching and feedback. I have particularly relished the opportunity to teach students how to approach, think about & tackle mathematics problems, while sharing my enthusiasm for problem solving.
Problem Solving; I have a natural flair for problem solving and enjoy tackling problems, both in real life scenarios and to mathematics problems. I have excellent analytical and logical reasoning skills applicable to any scenario, and I am a fast learner who is able to adapt to challenges quickly.
Computer Languages; Fluent in LATEX. Experience with Maple, Mathematica, Matlab, R and Python.
Selected Research Talks Given
Young Topologist’s Meeting 2017, KTH Royal Institute of Technology; Basepoints for Stratified Spaces
Transpennine Topology Triangle 103, The University of Liverpool; Notions of ‘Basepoint’ for a Stratified Space
Young Researchers in Homotopy Theory and Categorical Structures, Max Planck Institute for Mathematics in Bonn; A Simplicial Approach to the Homotopy Theory of Stratified Spaces
Topology Seminar, The University of Liverpool; Nine talks on Stratified Homotopy Theory
PhD Student, The University of Liverpool
Publications (In Preparation)
A Simplicial Approach to Stratified Homotopy Theory, with Jon Woolf.
Homotopy Theoretic Constructions for Stratified Spaces, with Jon Woolf.
Student Demonstrator (roles as tutor / marker unless specified)
2017-2018 Semester 1: MATH201 (Ordinary Differential Equations), MATH243 (Complex Functions), MATH299
(Engineering Mathematics II), MATH344 (Combinatorics).
Semester 2: MATH198 (Engineering Mathematics), MATH199 (Mathematical Techniques for Engineers), MATH349 (Differential Geometry). I aided the exam marking for MATH102 (Calculus II).
2016-2017 Semester 1: MATH105 (Numbers & Sets), MATH201 (Ordinary Differential Equations), MATH261 (Operational Research), MATH264 (Statistical Theory & Methods II), MATH363 (Linear Statistical Models).
Semester 2: MATH162 (Introduction to Statistics), MATH263 (Statistical Theory And Methods I), MATH372 (Time Series & It’s Applications In Economics).
Further Mathematics Support Programme January 2019-Present I work as a tutor for the FMSP, which helps students prepare for STEP exams, and Oxbridge entrance exams.
Continuing Education January-April 2015 CEPD 925: A Short Introduction to Modern Philosophy
Essay title: Concerning David Hume’s Attitude Towards Creationism Through His Criticisms of the Teleological Argument.
LMS Early Career Researcher Travel Grant (Ref: ECR-1718-80); July 2018 Workshop in Higher Structures in Homotopy Theory, Isaac Newton Institute, University of Cambridge
Oxford University Press; Freelance Proofreader October 2014-March 2016
I was responsible for proofreading various mathematics textbooks aimed at GCSE, and A-Level students.
Purchase Ledger; September-November 2014 Odeon and UCI Cinemas & Think Money Group
My work helped to maintain the purchase ledgers of these companies.
Research Analyst; Full-Time June-August 2013, Part-Time August 2013-September 2014 Warwick Economics and Development
I was responsible for a variety of research tasks and mathematical analysis, as appropriate to the tenders that WECD had won. For some projects, this job involved analytic thinking to work with large data sets, and in others involved creative thinking to research and gain understanding for a specific project.
Treasurer and Beginner Coach; July 2011-August 2013 University of Warwick Ice and Roller Hockey Club & Floorball Club
The Floorball Club won the most improved club award, and individually I was the winner of the Colin Brummitt Trophy for outstanding contribution to the development of sport & encouraging participation.
Activity Leader; LAL Language School June-August 2011, 2012 I organised and developed activities for foreign students to develop their English speaking abilities.
Available upon request.
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