Professor Andrew Hassell
Ph.D. (MIT, 1994)
Associate Director, Mathematical Sciences Institute
ANU College of Science
Areas of expertise
- Lie Groups, Harmonic And Fourier Analysis 010106
- Partial Differential Equations 010110
- Numerical And Computational Mathematics 0103
Publications
- Chen, X & Hassell, A 2016, 'Resolvent and spectral measure on non-trapping asymptotically hyperbolic manifolds I: Resolvent construction at high energy', Communications in Partial Differential Equations, vol. 41, no. 3, pp. 515-578pp.
- Hassell, A & Zhang, J 2016, 'Global-in-time Strichartz Estimates on Nontrapping, Asymptotically Conic Manifolds', Analysis and PDE, vol. 9, no. 1, pp. 151-192.
- Han, X, Hassell, A, Hezari, H et al 2015, 'Completeness of boundary traces of eigenfunctions', Proceedings of the London Mathematical Society, vol. 111, no. 3, pp. 749-773pp.
- Hassell, A & Tacy, M 2015, 'Improvement of eigenfunction estimates on manifolds of nonpositive curvature', Forum Mathematicum, vol. 27, no. 3, pp. 1435-1451.
- Gell-Redman, J, Hassell, A & Zelditch, S 2015, 'Equidistribution of phase shifts in semiclassical potential scattering', Journal of the London Mathematical Society, vol. 91, no. 1, pp. 159-179.
- Hassell, A & Tacy, M 2015, 'Improvement of eigenfunction estimates on manifolds of nonpositive curvature', Forum Mathematicum, vol. 27, no. 3, pp. 1435-1451.
- Christianson, H, Hassell, A & Toth, J 2015, 'Exterior Mass Estimates and L-2-Restriction Bounds for Neumann Data Along Hypersurfaces', International Mathematics Research Notices, vol. 2015, no. 6, pp. 1638-1665.
- Datchev, K, Gell-Redman, J, Hassell, A et al 2014, 'Approximation and Equidistribution of Phase Shifts: Spherical Symmetry', Communications in Mathematical Physics, vol. 326, no. 1, pp. 209-236.
- Barnett, A & Hassell, A 2014, 'Fast Computation of High-Frequency Dirichlet Eigenmodes via Spectral Flow of the Interior Neumann-to-Dirichlet Map', Communications on Pure and Applied Mathematics, vol. 67, no. 3, pp. 351-407.
- Guillarmou, C & Hassell, A 2014, 'Uniform Sobolev estimates for non-trapping metrics', Journal of the Institute of Mathematics of Jussieu, vol. 13, no. 3, pp. 599-632.
- Hassell, A & Lin, P 2014, 'The Riesz transform for homogeneous Schrodinger operators on metric cones', Revista Matematica Iberoamericana, vol. 30, no. 2, pp. 477-522.
- Guillarmou, C, Hassell, A & Sikora, A 2013, 'Resolvent at low energy iii: The spectral measure', Transactions of the American Mathematical Society, vol. 365, no. 11, pp. 6103-6148.
- Guillarmou, C, Hassell, A & Sikora, A 2013, 'Restriction and spectral multiplier theorems on asymptotically conic manifolds', Analysis and PDE, vol. 6, no. 4, pp. 893-950.
- Gell-Redman, J & Hassell, A 2012, 'Potential scattering and the continuity of phase-shifts', Mathematical Research Letters, vol. 19, no. 3, pp. 719-729.
- Hassell, A & Barnett, A 2012, 'Estimates on Neumann eigenfunctions at the boundary, and the "method of particular solutions'' for computing them', International Conference on Spectral Geometry, American Mathematical Society, Providence, Rhode Island, pp. 195-208.
- Hassell, A & Tacy, M 2012, 'Semiclassical Lp Estimates of Quasimodes on Curved Hypersurfaces', Journal of Geometric Analysis, vol. 22, no. 1, pp. 74-89.
- Barnett, A & Hassell, A 2011, 'Boundary quasi-orthogonality and sharp inclusion bounds for large dirichlet eigenvalues', SIAM Journal of Numerical Analysis, vol. 49, no. 3, pp. 1046-1063.
- Hassell, A 2010, 'Ergodic billiards that are not quantum unique ergodic', Annals of Mathematics, vol. 171, no. 1, pp. 605-618.
- Burq, N, Guillarmou, C & Hassell, A 2010, 'Strichartz Estimates Without Loss on Manifolds with Hyperbolic Trapped Geodesics', Geometric and Functional Analysis, vol. 20, no. 3, pp. 627-656.
- Hassell, A & Tao, T 2010, 'Erratum for "Upper and lower bounds for normal derivatives of Dirichlet eigenfunctions"', Mathematical Research Letters, vol. 17, no. 4, pp. 793-794.
- Hassell, A & Sikora, A 2009, 'Riesz Transforms in One Dimension', Indiana University Mathematics Journal, vol. 58, no. 2, pp. 823-852.
- Guillarmou, C & Hassell, A 2009, 'Resolvent at low energy and Riesz transform for Schrodinger operators on asymptotically conic manifolds. II', Annales de l'Institut Fourier, vol. 59, no. 4, pp. 1553-1610.
- Hassell, A, Hillairet, L & Marzuola, J 2009, 'Eigenfunction concentration for polygonal billiards', Communications in Partial Differential Equations, vol. 34, no. 5, pp. 475-485.
- Hassell, A & Wunsch, J 2008, 'The semiclassical resolvent and the propagator for non-trapping scattering metrics', Advances in Mathematics, vol. 217, no. 2, pp. 586-682.
- Guillarmou, C & Hassell, A 2008, 'Resolvent at low energy and Riesz transform for Schrodinger operators on asymptotically conic manifolds. I.', Mathematische Annalen, vol. 341, no. 4, pp. 859--896.
- Hassell, A & Marshall, S 2008, 'Eigenvalues of Schrodinger operators with potential asymptotically homogeneous of degree -2', Transactions of the American Mathematical Society, vol. 360, no. 8, pp. 4145-4167.
- Hassell, A, Melrose, R & Vasy, A 2008, 'Microlocal propagation near radial points and scattering for symbolic potentials of order zero', Analysis & PDE (Analysis & partial differential equations), vol. 1, no. 2, pp. 127-196.
- Burq, N, Hassell, A & Wunsch, J 2007, 'Spreading of quasimodes in the Bunimovich stadium', Proceedings of the American Mathematical Society, vol. 135, no. 4, pp. 1029-1037.
- Hassell, A, Tao, T & Wunsch, J 2006, 'Sharp Strichartz estimates on nontrapping asymptotically conic manifolds', American Journal of Mathematics, vol. 128, no. 4, pp. 963-1024.
- Carron, G, Coulhon, T & Hassell, A 2006, 'Riesz Transform and L^P-Cohomology for Manifolds with Euclidean Ends', Duke Mathematical Journal, vol. 133, no. 1, pp. 59-93.
- Hassell, A, Tao, T & Wunsch, J 2005, 'A Strichartz Inequality for the Schrodinger Equation on Nontrapping Asymptotically Conic Manifolds', Communications in Partial Differential Equations, vol. 30, no. 1, pp. 157-205.
- Hassell, A & Wunsch, J 2005, 'The Schrodinger propagator for scattering metrics', Annals of Mathematics, vol. 162, pp. 487-523.
- Hassell, A, Melrose, R & Vasy, A 2004, 'Spectral and scattering theory for symbolic potentials of order zero', Advances in Mathematics, vol. 181, no. 1, pp. 1-87.
- Hassell, A & Zelditch, S 2004, 'Quantum Ergodicity of Boundary values of Eigenfunctions', Communications in Mathematical Physics, vol. 248, pp. 119-168.
- Hassell, A & Wunsch, J 2004, 'On the structure of the Schrodinger propagator', Contemporary Mathematics, vol. 362, pp. 199-209.
- Hassell, A & Tao, T 2003, 'L2 Bounds for Normal Derivatives of Dirichlet Eigenfunctions', International Conference on Harmonic Analysis and Related Topic, ed. Xuan Thinh Duong and Alan Pryde, Australian National University, Canberra, pp. 57-67.
- Hassell, A & Tao, T 2002, 'Upper and lower bounds for normal derivatives of Dirichlet eigenfunctions', Mathematical Research Letters, vol. 9, pp. 289-305.
- Hassell, A & Vasy, A 2001, 'The resolvent for Laplace-type operators on asymptotically conic spaces', Annales de l'Institut Fourier, vol. 51, pp. 1299-1346.
- Hassell, A & Vasy, A 2001, 'Intersecting Legendrians and blow-ups', Mathematical Research Letters, vol. 8, pp. 413-428.
- Hassell, A & Vasy, A 2000, 'Symbolic functional calculus and N-body resolvent estimates', Journal of Functional Analysis, vol. 173, no. 2, pp. 257 - 283.
- Hassell, A 2000, 'Distorted plane waves for the 3 body Schr�dinger operator', Geometric and Functional Analysis, vol. 10, no. 1, pp. 1 - 50.
- Hassell, A 2000, 'Scattering matrices for the quantum N body problem', Transactions of the American Mathematical Society, vol. 352, no. 8, pp. 3799 - 3820.
- Hassell, A & Zelditch, S 1999, 'Determinants of Laplacians in exterior domains', International Mathematics Research Notices, no. 18, pp. 971-1004.
- Hassell, A & Zworski, M 1999, 'Resonant rigidity of S\^2', Journal of Functional Analysis, vol. 169, pp. 604-609.
- Hassell, A & Vasy, A 1999, 'The Spectral Projections and the Resolvent for Scattering Metrics', Journal d'Analyse Mathematique, vol. 79, pp. 241-298.
Projects and Grants
Grants information is drawn from ARIES. To add or update Projects or Grants information please contact your College Research Office.
- Global wavefront propagation and non-elliptic Fredholm theory (Primary Investigator)
- A semiclassical approach to spectral theory (Primary Investigator)
- Geometric analysis on non-compact and singular spaces (Primary Investigator)
- The Spectral theory and harmonic analysis of Geometric Differential operators (Primary Investigator)