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              <text>Coal is the deadliest and dirtiest major energy source on the planet. Buying “non-use” rights for coal mines - the right to not exploit, but rather shutter, coal mines upon purchase, could reduce coal production. If there is a global market for non-use rights, marginally profitable mines can be bought, reducing the potential for supply leakage. I perform an indicative cost-benefit analysis on non-use of coal mines in two countries where the supply of two different types of coal is currently marginally profitable: Indonesia and Australia. I find the benefit-cost ratio of buying the median Indonesian coal mine for a year of non-use is 21.00 (low and high estimates: 11.02 and 31.65), and equivalent ratio for the median Australian coal mine is 12.90 (low and high estimates: 6.76 and 19.43). Thus, I find that the purchase of one-year non-use rights for marginally profitable coal mines is both theoretically sound and practically justifiable.</text>
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              <text>Since the outbreak of COVID-19, the world economy has entered a long period of recession, followed by a recent slow recovery. The UK economy experienced a sharp GDP growth rate contraction of 11 per cent in 2020, followed by consecutive positive growth in 2021 and&#13;
2022. However, On aggregate levels, the UK GDP has yet to return to the pre-pandemic level in 2019, suggesting that Covid's impact persists three years into the present. There is mounting evidence showing the negative impact of the pandemic is not shared equally&#13;
among all agents of the economy in the UK. The gross decline in income equality of different economic groups could have underlying implications for inequality of opportunities and economic mobility. Existing literature regarding the COVID-19 impact on the economy&#13;
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                <text>My poster and notes on creating operators that satisfy the summation by parts property. These can be used to numerically approximate derivatives and solutionsto differential equations to a very high order of accuracy, with a guarantee that the numerical result is bounded.&#13;
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I tried to create a large variety of operators with this property: some were successful; others weren't. These are inspired by finite differences in that the numerical result's values at the half-integers match what a finite difference would give.</text>
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              <text>This document is a report/log of my 2024 Undergraduate Research Support Scheme (URSS) project with the University of Warwick. This project was completed under the supervision of Helena Verrill, with the Warwick Mathematics Institute. The project has synergies with projective geometry, graph theory and combinatorics.</text>
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