Projects will be theoretical in flavour, but I expect to work with fellows over the first few weeks to find projects that match their interests. They will generally center around the mechanistic estimation of quantities traditionally estimated via randomised methods (see for example https://arxiv.org/abs/2605.05179), or developing heuristic explanations for mathematical statements. Alternatively, fellows may take a more abstract route and work on the theory of heuristic arguments themselves, for example by broadening our understanding of No-coincidence Principles.
Essential:
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Preferred:
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Optional extras:
I will discuss a few projects with each fellow, and give time for fellows to work on each problem to get a sense of which ones they would like to move forward with. I would expect fellows to be working almost entirely on a single problem by the third week.