David Borthwick

Available identifiers

zbMath Open borthwick.davidMaRDI QIDQ171081

List of research outcomes

Publication	Date of Publication	Type
The heat kernel on the diagonal for a compact metric graph	2023-05-03	Paper
Gaps between consecutive eigenvalues for compact metric graphs	2023-01-17	Paper
Existence of resonances for Schrodinger operators on hyperbolic space	2021-10-12	Paper
Sharp diameter bound on the spectral gap for quantum graphs	2021-05-28	Paper
Spectral Theory	2020-03-27	Paper
Existence and Stability of Schrödinger Solitons on Noncompact Manifolds	2019-09-27	Paper
Introduction to partial differential equations	2016-12-01	Paper
Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions	2016-06-03	Paper
Spectral theory of infinite-area hyperbolic surfaces	2016-05-30	Paper
Upper bounds for the number of resonances on geometrically finite hyperbolic manifolds	2016-05-09	Paper
Dispersive estimates for scalar and matrix Schrödinger operators on \(\mathbb H^{n+1}\)	2016-03-09	Paper
Introduction to spectral theory on hyperbolic surfaces	2015-08-03	Paper
Resonance asymptotics for asymptotically hyperbolic manifolds with warped-product ends	2015-07-01	Paper
Resonance asymptotics for Schrödinger operators on hyperbolic space	2015-02-23	Paper
Distribution of Resonances for Hyperbolic Surfaces	2014-05-26	Paper
Sharp geometric upper bounds on resonances for surfaces with hyperbolic ends	2013-05-24	Paper
Resonances for Manifolds Hyperbolic Near Infinity: Optimal Lower Bounds on Order of Growth	2011-11-10	Paper
Did a 1-dimensional magnet detect a 248-dimensional Lie algebra?	2011-10-10	Paper
Inverse scattering results for manifolds hyperbolic near infinity	2011-05-13	Paper
Sharp upper bounds on resonances for perturbations of hyperbolic space	2011-01-03	Paper
Upper and Lower Bounds on Resonances for Manifolds Hyperbolic Near Infinity	2008-10-28	Paper
The semiclassical structure of low-energy states in the presence of a magnetic field	2007-02-01	Paper
Spectral theory of infinite-area hyperbolic surfaces	2007-01-09	Paper
A local quantum version of the Kolmogorov theorem	2005-12-09	Paper
On the pseudospectra of Berezin--Toeplitz operators	2005-09-27	Paper
Selberg's zeta function and the spectral geometry of geometrically finite hyperbolic surfaces	2005-09-15	Paper
Scattering theory for conformally compact metrics with variable curvature at infinity	2003-02-18	Paper
Determinants of Laplacians and isopolar metrics on surfaces of infinite area.	2003-01-01	Paper
https://portal.mardi4nfdi.de/entity/Q4523949	2002-07-24	Paper
The spectral density function for the Laplacian on high tensor powers of a line bundle	2002-05-12	Paper
Scattering poles for asymptotically hyperbolic manifolds	2001-12-10	Paper
Nearly Kählerian embeddings of symplectic manifolds	2001-04-05	Paper
https://portal.mardi4nfdi.de/entity/Q4379964	1998-12-16	Paper
Quasirigidity of hyperbolic 3-manifolds and scattering theory	1998-12-06	Paper
Semiclassical spectral estimates for Toeplitz operators	1998-11-09	Paper
Scattering theory and deformations of asymptotically hyperbolic metrics	1997-11-20	Paper
Legendrian distributions with applications to relative Poincaré series	1997-04-07	Paper
Almost complex structures and geometric quantization	1997-03-16	Paper
Matrix Cartan superdomains, super Toeplitz operators, and quantization	1996-04-01	Paper
NOTES ON THE STRUCTURE OF QUANTIZED HERMITIAN SYMMETRIC SPACES	1996-02-04	Paper
Supersymmetry and Fredholm modules over quantized spaces	1995-02-13	Paper
Hermitian symmetric superspaces of type IV	1994-06-12	Paper
Euclidean Majorana fermions, fermionic integrals, and relative Pfaffians	1993-10-21	Paper
Non-perturbative deformation quantization of Cartan domains	1993-08-18	Paper
Super Toeplitz operators and non-perturbative deformation quantization of supermanifolds	1993-06-29	Paper
The Pfaffian line bundle	1993-01-17	Paper

Research outcomes over time

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