2022 – 2023
MSc Applied Mathematics
Imperial College London
DistinctionPostgraduate study in advanced applied mathematics, culminating in research on the local behaviour of an electro-capillary / electrowetting problem near a sharp corner.
Academic profile
Mathematics beyond the school curriculum
My academic background in pure and applied Mathematics gives me subject knowledge substantially beyond the secondary curriculum and strengthens the mathematical explanations, connections and expectations I bring to classroom teaching.
I hold an MSc in Applied Mathematics with Distinction from Imperial College London and a BSc (Hons.) in Mathematics from Pandit Deendayal Energy University. My academic work has included analysis, differential equations, numerical methods, mechanics, mathematical modelling, mathematical physics and research in applied mathematics.
Qualifications
Formal study in Mathematics
My academic route combines broad undergraduate Mathematics with specialist postgraduate study in applied mathematics.
2017 – 2021
BSc (Hons.) Mathematics
Pandit Deendayal Energy University
Undergraduate Mathematics degree providing the foundation for subsequent postgraduate study, research and mathematical teaching.
Also completed a Diploma in Liberal Studies.
Subject expertise
Areas of mathematical depth
These areas sit beyond, or extend significantly beyond, the school curriculum and provide a wider mathematical context for secondary teaching.
Calculus and analysis
Calculus, differential equations, complex analysis and the analytical methods used to study continuous mathematical systems.
Applied Mathematics
Mathematical modelling, mechanics and the formulation of mathematical descriptions of physical phenomena.
Numerical methods
Iterative techniques, approximation and computational approaches to mathematical problems that do not admit straightforward closed-form solutions.
Mathematical physics
Mathematics connected with mechanics, relativity and physical modelling, including experience teaching mathematical aspects of relativity.
Eigenvalue problems
Research experience involving eigenvalue conditions, singular behaviour and local mathematical structure in an electrowetting problem.
Mathematical research
Experience developing, analysing and communicating mathematical arguments through postgraduate research and published work.
Mathematics and teaching
Why advanced subject knowledge matters in the classroom
Strong subject knowledge is valuable not because school pupils need to encounter university Mathematics prematurely, but because a teacher who understands the wider mathematical landscape can make better decisions about explanation, representation, sequencing and connection.
It helps me see where school Mathematics is heading, distinguish essential structure from surface procedure and answer pupils' questions with a broader understanding of the ideas involved.
Explain with greater precision
Deeper knowledge supports accurate language, careful representations and mathematically coherent explanations.
Connect topics
Concepts such as algebra, functions, graphs, calculus, vectors and mechanics can be understood as parts of a connected mathematical system rather than isolated units.
Anticipate what comes next
Knowledge beyond GCSE helps identify which foundations will become particularly important for pupils who progress to advanced Mathematics.
Extend appropriately
High-attaining pupils can be challenged through deeper reasoning and connection without simply accelerating through content for its own sake.
Post-16 Mathematics
A-level Mathematics and Further Mathematics
My academic background provides strong subject knowledge for advanced school Mathematics, including Pure Mathematics, Mechanics, complex numbers, matrices, vectors, calculus, differential equations and numerical methods.
I am keen to build on this background through future opportunities to teach A-level Mathematics and Further Mathematics.
Research
Experience investigating mathematics independently
Research has developed my ability to work with unfamiliar problems, test mathematical assumptions, communicate technical arguments and persist when a method does not immediately succeed.
MSc research · Imperial College London
Electro-capillary behaviour near a sharp corner
My MSc research investigated a local electrowetting / electro-capillary problem near a triple contact point, involving eigenvalue conditions and the mathematical behaviour of the electric field close to a geometric singularity.
The work required analytical reasoning, mathematical modelling, numerical investigation and careful interpretation of singular behaviour.
Iterative methods
Earlier research includes work on fixed-point and iterative numerical schemes.
Mathematical series and analysis
Published mathematical work has also included identities and series involving special functions and related analytical structures.
Continuing research
I continue to maintain an active interest in applied mathematics and mathematical physics alongside teaching.
Academic teaching
Mathematics education beyond school
My experience explaining Mathematics also includes undergraduate-level educational settings.
2023
Mathematical Aspects of Relativity
Pandit Deendayal Energy University
Designed and delivered a 30-hour remote course introducing mathematical aspects of relativity.
2019 – 2020
Foundations of Mathematics
Pandit Deendayal Energy University
Delivered foundation Mathematics teaching to undergraduate learners, providing early experience of explaining formal mathematical ideas to others.
Teacher and mathematician
Academic depth in service of Mathematics education
My academic background is one part of my professional profile. The Teaching and Experience pages show how that subject knowledge is translated into classroom practice.