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11/17/2021
Sharp Effective Finite-Field Nullstellensatz
The (weak) Nullstellensatz over finite fields says that if P_1,…,P_m are...
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02/21/2021
An Optimal Inverse Theorem
We prove that the partition rank and the analytic rank of tensors are eq...
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02/09/2021
Structure vs. Randomness for Bilinear Maps
We prove that the slice rank of a 3-tensor (a combinatorial notion intro...
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02/21/2020
Geometric rank of tensors and subrank of matrix multiplication
Motivated by problems in algebraic complexity theory (e.g., matrix multi...
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11/05/2019