Hans Christianson

Hans Christianson is an Associate Professor and Associate Chair in the Department of Mathematics at the University of North Carolina at Chapel Hill. His research bridges classical mechanics and quantum phenomena through advanced mathematical frameworks.

He received his B.S. from the University of Minnesota, Twin Cities (2002) and Ph.D. from the University of California, Berkeley (2007), followed by a CLE Moore Instructorship at MIT (2007-2010) and an MSRI Postdoc (2008).

Christianson's work centers on classical-quantum correspondence using microlocal analysis to study partial differential equations in phase space. He investigates chaotic and singular classical systems that produce quantum effects like wave equidistribution and unstable scattering, with applications in spectral geometry and quantum chaos.

His recent publications reveal consistent focus on wave propagation phenomena, including Neumann data equidistribution, damped wave control, and Schrödinger equation smoothing properties. These works demonstrate deep integration of geometric analysis with quantum mechanical principles.

No scientific awards are documented in the provided materials.

As part of the NSF RTG-funded Analysis and PDE research group (grant DMS-2135998), Christianson contributes to collaborative research on manifolds while mentoring graduate students in advanced mathematical analysis.

He actively participates in the UNC Analysis and PDE research group, which drives interdisciplinary work on partial differential equations across geometric and quantum domains.