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「The Jordan-Schur theorem」：数学直觉如何落到可检验的步骤
Jordan’s theorem is a basic theorem in the theory of finite linear group…
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把「254A, Notes 5: The structure of locally compact」写成可执行的阅读路径
In the previous notes, we established the Gleason-Yamabe theorem: Theore…
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读懂「254A, Notes 6: Ultraproducts as a bridge between」：先把定义、反例和适用范围钉死
Roughly speaking, mathematical analysis can be divided into two major st…
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「The structure of approximate groups」：数学直觉如何落到可检验的步骤
Emmanuel Breuillard, Ben Green, and I have just uploaded to the arXiv ou…
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「254A, Notes 7: Models of ultra approximate group」笔记：问题从哪来、证明卡在哪
In the previous set of notes, we introduced the notion of an ultra appro…
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读懂「Associativity of the Baker-Campbell-Hausdorff fo」：先把定义、反例和适用范围钉死
Let be a finite-dimensional Lie algebra (over the reals). Given two suff…
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读懂「254A, Notes 8: The microstructure of approximate」：先把定义、反例和适用范围钉死
A common theme in mathematical analysis (particularly in analysis of a “…
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读懂「254A, Notes 9: Applications of the structural th」：先把定义、反例和适用范围钉死
In the last set of notes, we obtained the following structural theorem c…
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把「Some notes on the Coven-Meyerowitz conjecture」写成可执行的阅读路径
Let be a finite additive group. A tiling pair is a pair of non-empty sub…
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读懂「The Katai-Bourgain-Sarnak-Ziegler orthogonality」：先把定义、反例和适用范围钉死
One of the basic problems in analytic number theory is to estimate sums …