and partial differential equations. My work is supported in part by NSF grant DMS-0900524.
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I am a CLE Moore Instructor at MIT, studying semiclassical analysis
and partial differential equations.
My work is supported in part by NSF grant DMS-0900524.
Here is my CV.
Strichartz Estimates for the Water-wave problem with Surface Tension with V.M. Hur and G. Staffilani
Existence and Stability of Solitons for the Nonlinear Schrodinger Equation on Hyperbolic Space with J. Marzuola to appear Nonlinearity
Corrigendum to Semiclassical non-concentration near hyperbolic orbits [J. Funct. Anal. 246 (2) (2007) 145--195]
Local Smoothing Effects for the Water-wave Problem with Surface Tension with V.M. Hur and G. Staffilani C. R. Math. Acad. Sci. Paris Vol. 347 (2009), no. 3-4, 159--162.
Quantum Monodromy and Non-concentration Near a Closed Semi-hyperbolic Orbit
Isomorphisms between Algebras of Semiclassical Pseudodifferential Operators
Applications of Cutoff Resolvent Estimates to the Wave Equation Math. Res. Lett. Vol. 16 (2009), no. 4, 577--590.
Cutoff Resolvent Estimates and the Semilinear Schrodinger Equation Proc. Amer. Math. Soc. Vol. 136 (2008), no. 10, 3513--3520.
The Colin de Verdiere Graph Parameter for Threshold Graphs with Felix Goldberg
Dispersive Estimates for Manifolds with one Trapped Orbit Comm. Partial Differential Equations Vol. 33, (2008) no. 7, 1147--1174.
Semiclassical Non-concentration near Hyperbolic Orbits, Journal of Functional Analysis Vol. 246 (2007), no. 2, 145--195.
Growth and Zeros
of the Zeta Function for Hyperbolic Rational Maps, Canadian Journal of
Mathematics, Vol. 59 (2007), no. 2, 311--331.
On Correlations
of CM-Type Maass Waveforms under the Horocyclic Flow, with Dennis Hejhal (Univ. of Minn.),
Journal of
Physics A, Mathematical and General, Vol. 36 (2003), no. 12, 3467--3486.
The Critical
Group of a Threshold Graph, with Victor Reiner (Univ. of Minn.),
Linear Algebra and its
Applications, Vol. 349 (2002), 233--244.
Contact:
hans@math.mit.edu
1-617-253-4399