An LLM-assisted corpus study finds that roughly 3% to 12% of 5,000 arXiv math papers contain clear or borderline appeals to mathematical explanation, with frequency varying by subfield.
A Little Microlocal Morse Theory
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abstract
If a complex analytic function, $f$, has a stratified isolated critical point, then it is known that the cohomology of the Milnor fibre of $f$ has a direct sum decomposition in terms of the normal Morse data to the strata. We use microlocal Morse theory to obtain the same result under the weakened hypothesis that the vanishing cycles along $f$ have isolated support. We also investigate an index-theoretic proof of this fact.
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Using Large Language Models to Study Mathematical Practice
An LLM-assisted corpus study finds that roughly 3% to 12% of 5,000 arXiv math papers contain clear or borderline appeals to mathematical explanation, with frequency varying by subfield.