Publications and preprints

(* = graduate student; ** = undergraduate student)

Three types of X_m exceptional Laguerre polynomials, with L. Littlejohn, R. Milson, J. Stewart*. Brief description.
In preparation.

The spectral study of the second order exceptional X1-Jacobi differential expression and a related nonclassical Jacobi differential expression, with L. Littlejohn, J. Stewart*, Q. Wicks*. Brief description.
To be submitted, see arXiv.

Delocalization for 3-D discrete random Schroedinger operator at weak disorder, with W. King**, R.C. Kirby. Brief description.
Submitted. Also see arXiv:1312.3936

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.
Submitted. (arXiv:1310.4094)

Clark model in the general situation, with S. Treil. Brief description.
Submitted. (arXiv:1308.3298)

Deterministic Spectral Properties of Anderson-type Hamiltonians. Brief Description.
Submitted. (arXiv:1009.1353)

Cyclicity in Dirichlet-type spaces and extremal properties, with C. Beneteau, A.A. Condori, D. Seco, A.A. Sola. Brief description.
J. Anal. Math., to appear 2015. (arXiv:1301.4375)

Cyclicity in rank-one perturbation problems, with E. Abakumov, A. Poltoratski. Brief description.
J. Lond. Math. Soc. 88 (2013) no. 2, 523-537. (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, 333-354 (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)


Unpublished


New approach to diffusion in Anderson models. Brief description.
(arXiv:1207.3476)

Rank one and finite rank perturbations - survey and open problems. Brief description.
(arXiv:1205.4376)

Organizing


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

Selected recent talks


If you would like to have the slides of any of my talks, please contact me via email.