papers
Publications (21)
math.SP1999
Scattering poles for asymptotically hyperbolic manifolds
David Borthwick, Peter Perry
math.DG1998
Nearly Kahlerian Embeddings of Symplectic Manifolds
David Borthwick, Alejandro Uribe
dg-ga1997
Scattering theory and deformations of asymptotically hyperbolic metrics
David Borthwick
math.AP2015
Dispersive Estimates for Scalar and Matrix Schrödinger operators on $\mathbb{H}^{n+1}$
David Borthwick, Jeremy L. Marzuola
dg-ga1996
Quasi-rigidity of hyperbolic 3-manifolds and scattering theory
David Borthwick, Alan McRae, Edward Taylor
math.SP2000
Scattering theory for conformally compact metrics with variable curvature at infinity
David Borthwick
math-ph2018
Existence and stability of Schrödinger solitons on noncompact manifolds
David Borthwick, Roland Donninger, Enno Lenzmann +1
math.SP2017
Improved fractal Weyl bounds for hyperbolic manifolds
Semyon Dyatlov, David Borthwick, Tobias Weich
math.SP2010
Sharp geometric upper bounds on resonances for surfaces with hyperbolic ends
David Borthwick
dg-ga1996
Almost complex structures and geometric quantization
David Borthwick, Alejandro Uribe
math.SP2004
The semiclassical structure of low-energy states in the presence of a magnetic field
David Borthwick, Alejandro Uribe
math.SP2013
Resonance asymptotics for asymptotically hyperbolic manifolds with warped-product ends
David Borthwick, Pascal Philipp
math.SP2009
Sharp upper bounds on resonances for perturbations of hyperbolic space
David Borthwick
math.SP2008
Upper and lower bounds on resonances for manifolds hyperbolic near infinity
David Borthwick
math.SP2013
Distribution of resonances for hyperbolic surfaces
David Borthwick
math.SP2019
Sharp diameter bound on the spectral gap for quantum graphs
David Borthwick, Livia Corsi, Kenny Jones
math-ph2011
Did a 1-dimensional magnet detect a 248-dimensional Lie algebra?
David Borthwick, Skip Garibaldi
math.SP2001
The spectral density function for the Laplacian on high tensor powers of a line bundle
David Borthwick, Alejandro Uribe
math.SP2016
Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions
David Borthwick, Tobias Weich
math.SP2013
Upper bounds for the number of resonances on geometrically finite hyperbolic manifolds
David Borthwick, Colin Guillarmou
math.SP2013
Resonance asymptotics for Schrodinger operators on hyperbolic space
David Borthwick, Catherine Crompton