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Max Hopkins

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titleconferencedate
Explicit SoS Lower Bounds from (Small-Set) High Dimensional ExpandersBeyond the Boolean Cube 20232023-06-26
Constructs poly-time constructible XOR-families whose unsatisfiability Sum-of-Squares cannot refute until linear-round SoS lower bounds, matching the Grigoriev…
Talk on
High-Dimensional Expanders 3Analysis and TCS Boot Camp 20232023-06-05
Constructs a concrete levelwise decomposition of functions on a k‑dimensional simplicial complex by lifting kernels of the down operator and proves uniqueness…
Talk
High-Dimensional Expanders 4Analysis and TCS Boot Camp 20232023-06-05
Claim: global hypercontractivity and small-set expansion for epsilon-global functions on the p-biased cube extend to certain high-dimensional expanders by…
Talk
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