I am interested in the Riemann-Hilbert approach to integrable systems.
|Office Location:||025 Physics Bldg|
|Office Phone:||(919) 660-2832|
|PhD in mathematics, Duke University||2008|
|MS in computational physics, St.Petersburg State U., Russia||2004|
My research interests include the Riemann-Hilbert approach to
integrable systems (KdV, NLS, sine-Gordon) and analysis of turning
points/Stokes lines in WKB method. In particular, my current
project is studying analytically as well as numerically the second
break of the asymptotic solution of the semiclassical focusing
nonlinear Schrodinger equation (NLS). This is closely related to
scattering/inverse scattering for linear operators (Schrodinger,
Zakharov-Shabat) where time is a parameter.