Publications and preprints(* = graduate student; ** = undergraduate student)
The spectral analysis of the X1-Jacobi polynomials, with L. Littlejohn, J. Stewart*, Q. Wicks*. Brief description.
To be submitted.
Delocalization for 3-D discrete random Schroedinger operator at weak disorder, with W. King**, R.C. Kirby. Brief description.
Submitted. Also see arXiv.
Cyclicity in Dirichlet-type spaces and extremal polynomials II: Functions on the bidisk, with C. Beneteau, A.A. Condori, D. Seco, A.A. Sola. Brief description.
New approach to diffusion in Anderson models. Brief description.
Rank one and finite rank perturbations - survey and open problems. Brief description.
Clark model in the general situation, with S. Treil. Brief description.
Deterministic Spectral Properties of Anderson-type Hamiltonians. Brief Description.
Cyclicity in Dirichlet-type spaces and extremal properties, with C. Beneteau, A.A. Condori, D. Seco, A.A. Sola. Brief description.
J. Anal. Math. accepted (arXiv:1301.4375)
Cyclicity in rank-one perturbation problems, with E. Abakumov, A. Poltoratski. Brief description.
J. Lond. Math. Soc. to be published. Advance access online. (also see arXiv:1111.3095)
Approach to the extended states conjecture. Brief description.
J. Stat. Phys. (2013) 153, p. 1022-1038, DOI: 10.1007/s10955-013-0879-5 (arXiv:1207.2843)
A geometric approach to finite rank perturbations, with R. Douglas. Brief description.
Indiana Univ. Math. J. Vol. 62 (2013) no. 1 (arXiv:1110.4938)
Regularizations of general Singular Integral Operators, with S. Treil. Brief description.
Rev. Mat. Iberoam., 29 (2013), no. 1, 53-74. (arXiv:1010.6184)
Rank One Perturbations and Singular Integral Operators, with S. Treil. Brief description.
J. Funct. Anal., 257 (2009) 1947-1975. (arXiv:0810.2750)
Selected recent talks
If you would like to have the slides of any of my talks, please contact me via email.
AMS Sectional Meeting, University of Tennessee, Knoxville, TN, March 21-23, 2014
CBMS conference featuring Alexei Poltoratski, August 12-16, 2013
Recent Advances in Harmonic Analysis and Spectral Theory conference, August 2012
Informal postdoc meetings at TAMU, Summer 2011-Summer 2012
Waves and Spectra conference, January 2011
Analysis reading seminar at TAMU, Fall 2010 and Fall 2011
Analysis Reading Seminar at Brown University (for graduate students) Fall 2008-Spring 2009
Math Resource Center at Brown University, Fall 2007-Spring 2009