Richard Merkin Distinguished Professor of Mathematics
B.A., Leningrad University, 1982; Ph.D., LOMI Mathematics Institute (Leningrad), 1986. Visiting Professor, Caltech, 1991; Professor, 1991-13; Merkin Professor, 2013-.
Research Areas: Mathematics
Nik works in complex analysis and related ﬁelds (potential theory, harmonic analysis, spectral theory) as well as on various applications to complex dynamics, mathematical conformal ﬁeld theory, Coulomb gas models and random matrices.
His most recent work concerns topology of quadrature domains, Hele-Shaw ﬂows, uncertainty principle for non-linear Fourier transform, universality laws and ﬁeld convergence in normal random matrix ensembles, dynamics of Schwarz reﬂection as the mating of Kleinian groups and rational maps, classical function theory on compact Riemann surfaces via Liouville conformal ﬁeld theory,