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09/07/2023
On generalized corners and matrix multiplication
Suppose that S ⊆ [n]^2 contains no three points of the form (x,y), (x,y+...
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04/08/2022
Matrix multiplication via matrix groups
In 2003, Cohn and Umans proposed a group-theoretic approach to bounding ...
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03/07/2022
High-Dimensional Expanders from Chevalley Groups
Let Φ be an irreducible root system (other than G_2) of rank at least 2,...
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05/11/2020
An Algorithmic Method of Partial Derivatives
We study the following problem and its applications: given a homogeneous...
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07/17/2018