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His research concerns include symmetric spaces of arithmetic groups and their combinatoric, geometric, and topological structure.
According to the SASTRA Ramanujan Prize citation, Shai Evra was selected for the prize for his outstanding work on " . . . high dimensional expanders in the area of combinatorial and geometric topology and on Golden Gates for three dimensional unitary groups. He employed deep results from representation theory and number theory, pertaining to the Generalised Ramanujan Conjectures. The prize recognises his fundamental paper in the Journal of Topology and Analysis, in which he extends both the combinatorics and automorphic form theory to generalise the construction of Mikhail Gromov and others on expander graphs. His fundamental work will have major implications even outside mathematics, extending into theoretical computer science, according to the citation."
According to the SASTRA Ramanujan Prize citation, Shai Evra was selected for the prize for his outstanding work on " . . . high dimensional expanders in the area of combinatorial and geometric topology and on Golden Gates for three dimensional unitary groups. He employed deep results from representation theory and number theory, pertaining to the Generalised Ramanujan Conjectures. The prize recognises his fundamental paper in the Journal of Topology and Analysis, in which he extends both the combinatorics and automorphic form theory to generalise the construction of Mikhail Gromov and others on expander graphs. His fundamental work will have major implications even outside mathematics, extending into theoretical computer science, according to the citation."
研究兴趣
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arXiv (Cornell University) (2023)
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STOC '16: Symposium on Theory of Computing
Cambridge
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June, 2016no. 1 (2023): 39-68
arxiv(2022)
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SIAM Journal on Computingpp.FOCS20-276, (2022)
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