Hi! I'm a Sherman Fairchild Postdoctoral Scholar at the
Department of Mathematics in the
Division of Physics, Mathematics and Astronomy
at Caltech.
I received my PhD from the
Department of Mathematics at the
Hebrew University of Jerusalem.
My advisor was Prof. Yoram Last.
My MSc in chemistry was completed under the supervision of
Prof. David Avnir, at the
Department of Chemistry there.
Email: jbreuer /a/t/ caltech dot edu
Office: 272 Sloan
Phone: (626) 395 4345
Office hours: Monday 3:00-4:00pm and by appointment.
Mail address:
Jonathan Breuer
Mathematics 253-37
1200 E. California Blvd.
Caltech
Pasadena, CA 91125
USA
Teaching
- FA '07-'08 Ma 108a
Lectures take place in Sloan 151 on Monday, Wednesday and Friday at 11:00-11:55am.
- SP '07-'08 Ma 191c
Lectures take place in Sloan 159 on Tuesday and Thursday at 2:00-3:30pm.
- FA '08-'09 Ma 1a Section 1
Lectures take place in Sloan 151 on Monday, Tuesday, Wednesday and Friday at 10:00-11:00am.
- SP '08-'09 Ma 110c
Lectures take place in Sloan 159 on Monday, Wednesday and Friday at 11:00-11:55 am.
Research interests
My areas of research are analysis and mathematical physics, which means that I am interested in analytical problems
motivated by physics. My work so far has concentrated around the area of spectral theory. In particular, I study
problems related to the spectral properties of random Schrödinger operators and random matrix ensembles, orthogonal
polynomials, transport phenomena in complex media and problems connected to spectral geometry.
Here is My Research Statement.
Publications and preprints
- (with D. Avnir) The symmetry numbers of non-rigid molecules, J. Chem. Phys.
122 (2005),
074110-1 -- 074110-10.
- Singular continuous spectrum for the
Laplacian on certain sparse trees, Commun. Math. Phys. 269 (2007), 851--857.
- (with Y. Last) Stability of spectral types for
Jacobi matrices under decaying random perturbations,
J. Funct. Anal. 245 (2007), 249--283.
- (with P. Forrester and U. Smilansky) Random
Schr\"odinger operators from random matrix theory,
J. Phys. A: Math. Theor. 40 (2007) F1--F8.
- Singular continuous and dense point spectrum for
sparse trees with finite dimensions, Probability and Mathematical Physics (eds. D. Dawson, V. Jaksic and B. Vainberg),
CRM Proc. and Lecture Notes 42 (2007), 65--83.
- Localization for the Anderson
model on trees with finite dimensions, Ann. Henri Poincarè 8 (2007) 1507--1520.
- Spectral and dynamical properties of
certain random Jacobi matrices with growing parameters, Transactions of AMS, to appear.
- (with E. Ryckman and M. Zinchenko) Right limits and reflectionless measures for CMV matrices, Commun. Math. Phys., to appear.
- (with Y. Last and B. Simon) The Nevai condition, Constr. Approx., to appear.
- (with R. L. Frank) Singular spectrum for radial trees, Rev. Math. Phys., to appear.
- (with E. Ryckman and B. Simon) Equality of the spectral and dynamical definitions of reflection,
Commun. Math. Phys., to appear.
Curriculum Vitae
