Welcome to my website
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Mackey functor undergrad research
I recently finished an Undergraduate Research program run by the University of Sheffield mathematics department. My subject was the highly abstract concept of “Mackey functors”. These are a niche but important part of many advanced mathematical concepts, including stable homotopy theory, and representation theory. Their invention was motivated by trying to create a formal mathematical…
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Wacky Factorials
We all know the definition of the factorial ! as but there are even more definitions of factorials that mathematicians have invented. Double Factorial The double factorial looks like this . It can be used to easily denote the product of the odd or even numbers less than or equal to n Subfactorial…
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Fractal Flow
Fractal Flow is my largest programming project so far; here’s a little about it: Early days I started Fractal Flow on January 12th 2022, after a few months of learning and tinkering with the Windows Presentation Foundation in my Computer Science class. The application was to be my coursework, which makes up 20% of the…
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Differential Equations
How to tackle the differential equations found in A-level Further Maths
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Reflected Gradient Formula
The inverse of a function can be found by swapping x and ys in an equation (and then rearrange back to terms of x). This has the effect of reflecting the original function in the line y = x, as you are essentially just swapping the x and y axis. Some mates and I sat…