20 citations · 102 across the 71 of their papers we have counts for
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math.NT2018★ 1 cited
Profinite mapping class groups
Igor Nikolaev
It is proved that the profinite completion of the mapping class group Mod (g,n) of a surface of genus g with n boundary components is isomorphic to such of the arithmetic group GL(…
math.NT2018★ 1 cited
Quantum dynamics of elliptic curves
Igor V. Nikolaev
We calculate K-theory of a crossed product -algebra of the noncommutative torus with real multiplication by elliptic curve over a number field . This resul…
math.NT2018★ 1 cited
Geometry of integers revisited
Igor Nikolaev
We study geometry of the ring of integers of a number field . Namely, it is proved that the inclusion defines a covering of the Riemann sphere $\ma…