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Mahir Hadzic:

Nonlinear partial differential equations, free boundary problems, general relativity and mathematical physics.

Alexander Pushnitski:

Spectral perturbation theory of selfadjoint operators in Hilbert space, spectral theory of Hankel and Toeplitz operators, scattering theory and spectral shift function theory.

Simon Scott:

Geometric analysis, index theory, elliptic boundary value problems, microlocal analysis (pseudodifferential and fourier integral operators) and topological quantum field theory.

Eugene Shargorodsky:

Operator theory, partial differential and integral equations, complex variables and applications to fluid dynamics and elasticity theory. 

Jeremiah Buckley:

Random holomorphic functions, Gaussian processes, nodal sets of Laplace eigenfunctions, Bergman- or Fock-type spaces of functions.

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