HIGH DIMENSIONAL EXPANDERS ALEXANDER LUBOTZKY Abstract. Expander graphs have been, during the last five decades, the subject of a most fruitful interaction between pure mathematics and computer science, with influence an

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• Algebra
• Mathematics
• Spectral theory
• Geometric group theory
• Topological groups
• Algebraic topology
• Expander graph
• Kazhdan's property
• Ramanujan graph
• Simplicial complex
• Cohomology
• Spectrum

PROFESSOR ALEX LUBOTZKY Alex Lubotzky was born in 1956 in Ramat Gan, Israel. While still in high school, he began studying at Bar-Ilan University where he received his B.A. only one year after graduating from high school

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COUNTING CONGRUENCE SUBGROUPS Dorian Goldfeld Alexander Lubotzky ´szlo ´ Pyber

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• Group theory
• Modular forms
• Analytic number theory
• Bombieri–Vinogradov theorem
• Sieve theory
• Congruence subgroup
• Valuation
• Riemann hypothesis
• Prime number theorem
• Abstract algebra
• Mathematics
• Mathematical analysis

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• Norwegian Academy of Science and Letters
• Jaakko Hintikka
• Logicians
• Rolf Schock Prizes
• Courant Institute of Mathematical Sciences
• Elliott H. Lieb
• Dana Scott
• Alexander Lubotzky
• Yuri I. Manin
• Mathematics
• Academia
• Science