Tanya Christiansen

Tanya Christiansen's AcademicInfluence.com Rankings

Tanya Christiansen

Mathematics

#3930

World Rank

#5677

Historical Rank

Measure Theory

#4209

World Rank

#4958

Historical Rank

mathematics Degrees

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Mathematics

Tanya Christiansen's Degrees

PhD Mathematics Princeton University
Masters Mathematics Stanford University

Why Is Tanya Christiansen Influential?

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According to Wikipedia, Tanya Julie Christiansen is an American mathematician who works in scattering theory and the theory of partial differential equations. She is Luther Marion Defoe Distinguished Professor of Mathematics at the University of Missouri.

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Tanya Christiansen's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Scattering Theory for Manifolds with Asymptotically Cylindrical Ends (1995) (34)
Spectral asymptotics for manifolds with cylindrical ends (1995) (33)
Schrödinger operators with complex-valued potentials and no resonances (2004) (31)
Resonances for steplike potentials: forward and inverse results (2003) (26)
SPECTRAL ASYMPTOTICS FOR COMPACTLY SUPPORTED PERTURBATIONS OF THE LAPLACIAN ON RN (1998) (25)
Several Complex Variables and the Distribution of Resonances in Potential Scattering (2004) (24)
The resonance counting function for Schrodinger operators with generic potentials (2005) (24)
Some Upper Bounds on the Number of Resonances for Manifolds with Infinite Cylindrical Ends (2002) (23)
Weyl asymptotics for the Laplacian on asymptotically Euclidean spaces (1999) (20)
Probabilistic Weyl Laws for Quantized Tori (2009) (20)
Some lower bounds on the number of resonances in Euclidean scattering (1999) (15)
Several complex variables and the order of growth of the resonance counting function in Euclidean scattering (2006) (14)
Maximal order of growth for the resonance counting functions for generic potentials in even dimensions (2008) (14)
Harmonic functions of polynomial growth on certain complete manifolds (1996) (12)
A sharp lower bound for a resonance-counting function in even dimensions (2015) (11)
Resonance Wave Expansions:¶Two Hyperbolic Examples (2000) (11)
Asymptotics for a resonance-counting function for potential scattering on cylinders (2003) (10)
Resolvent estimates on asymptotically cylindrical manifolds and on the half line (2017) (10)
Scattering theory for perturbed stratified media (1998) (9)
Resonances for manifolds hyperbolic at infinity: optimal lower bounds on order of growth (2010) (9)
Some remarks on resonances in even-dimensional Euclidean scattering (2013) (9)
Sojourn times, manifolds with infinite cylindrical ends, and an inverse problem for planar waveguides (2009) (8)
Weyl Asymptotics for the Laplacian on Manifolds with Asymptotically Cusp Ends (2001) (8)
Schrodinger operators and the distribution of resonances in sectors (2010) (7)
Lower bounds for resonance counting functions for obstacle scattering in even dimensions (2014) (7)
Wave Asymptotics for Waveguides and Manifolds with Infinite Cylindrical Ends (2021) (6)
Resonances for Schrodinger operators with compactly supported potentials (2009) (5)
Resonances and balls in obstacle scattering with Neumann boundary conditions (2008) (5)
A mathematical formulation of the Mahaux–Weidenmüller formula for the scattering matrix (2009) (4)
Inverse Problems for Obstacles in a Waveguide (2010) (3)
Lower bounds for resonance counting functions for Schr\"odinger operators with fixed sign potentials in even dimensions (2013) (2)
Resonant Rigidity for Schrödinger Operators in Even Dimensions (2017) (2)
Resolvent estimates, wave decay, and resonance-free regions for star-shaped waveguides (2019) (2)
Higher Order Scattering on Asymptotically Euclidean Manifolds (2000) (2)
Inverse obstacle problems with backscattering or generalized backscattering data in one or two directions (2013) (2)
Recovering Asymptotics at Infinity of Perturbations of Stratified Media (2000) (1)
Low energy scattering asymptotics for planar obstacles (2022) (0)
The semiclassical structure of the scattering matrix for a manifold with infinite cylindrical end (2021) (0)
Resonances for Schr\"odinger operators on infinite cylinders and other products. (2020) (0)
Pseudospectra in automorphic scattering (2004) (0)
Wave asymptotics for manifolds with infinite cylindrical ends (2017) (0)
Scattering on stratified media: The microlocal properties of the scattering matrix and recovering asymptotics of perturbations (2000) (0)
Resonant Rigidity for Schrödinger Operators in Even Dimensions (2019) (0)
Scattering theory on compact manifolds with boundary (1993) (0)
SOME REMARKS ON SCATTERING RESONANCES IN EVEN DIMENSIONAL EUCLIDEAN SCATTERING (2013) (0)
Communications in Mathematical Physics Probabilistic Weyl Laws for Quantized (2010) (0)
Lower bounds for resonance counting functions (2015) (0)
Manifolds with cylindrical ends having a finite and positive number of embedded eigenvalues (2020) (0)

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Tanya Christiansen's Academic­Influence.com Rankings