Siqi Liu

Conference Leibniz International Proceedings in Informatics Lipics · July 29, 2025 The focus of this paper is the development of new elementary techniques for the construction and analysis of high dimensional expanders. Specifically, we present two new explicit constructions of Cayley high dimensional expanders (HDXs) over the abelian gr ... Full text Cite

New Codes on High Dimensional Expanders

Conference Leibniz International Proceedings in Informatics Lipics · July 29, 2025 We describe a new parameterized family of symmetric error-correcting codes with low-density parity-check matrices (LDPC). Our codes can be described in two seemingly different ways. First, in relation to Reed-Muller codes: our codes are functions on a subs ... Full text Cite

Hypercontractivity on high dimensional expanders

Conference Proceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing · June 9, 2022 Full text Cite