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- 2015

- Lecture 1, Fuglede Conjecture for lattices in ${\Bbb R^d}$ is true, for the mathematics professors and graduate students at Universidad Autónoma de Madrid, Spain, June 23, 2015
- Lecture 2, Exponential Riesz bases and Paley Wiener spaces, for the mathematics professors and graduate students at Universidad Autónoma de Madrid, Spain, June 25, 2015
- Lecture 3, Fugelde Conjecture holds in ${\Bbb Z_p}\times {\Bbb Z_p}$ (Part I) , for the mathematics professors and graduate students at Universidad Autónoma de Madrid, Spain, June 30, 2015
- Lecture 4, Fugelde Conjecture holds in ${\Bbb Z_p}\times {\Bbb Z_p}$ (Part II) , for the mathematics professors and graduate students at Universidad Autónoma de Madrid, Spain, July 2, 2015
- Signal Analysis by Wavelet Transformation, at Feliks Gross Awards Ceremony at the Graduate Center, CUNY, May 7, 2015
- Riesz basis spectrals and Paley-Wiener spaces, AMS Sectional Meeting, Washington D.C., March 8, 2015
- Semidirect product groups and Haar integrals, at the Graduate Center, Feb. 6, 2015
- Invited speaker, A correspondence between Paley-Wiener spaces and exponential bases, 2015 JMM (Joint Mathematical Meetings), San Antoine, Jan. 10-13, 2015.
- Invited speaker ar Joint Mathematical Meetings,
*Frames and Their Applications*, III, Saint Antoine, Jan. 10-12, 2015

- 2014

- Invited speaker, Connection between exponential bases and translation bases, Bronx Community College, Dec. 2, 2014
- (Invited speaker) Frames of translates on the Heisenberg group, 5th International Conference on Computational Harmonic Analysis, May 19-23, 2014, Vanderbilt University
- (Invited speaker) 2014 Spring Eastern Sectional Meeting, University of Maryland, Baltimore County, Baltimore, MD, March 29-30, 2014 (Saturday - Sunday) Meeting #1098
*(Invited speaker) Finite frames and their applications in signal transmission*, City University of New York, Queensborough, March 12, 2014- An introduction to finite frame theory and its application in signal transmission, The Graduate Center, City University of New York, Feb. 7, 2014
- (Invited speaker) LP decomposition of abstract Besov norms in terms of band-limited functions Applied Analysis Seminar talk, Yale University, New Haven, CT, Jan. 23, 2014,

- 2013

- (Invited speaker)
*Littlewood-Paley decomposition of abstract Besov spaces and applications*,

Washington University, St. Louis, MO (*Fall Central Sectional Meeting)-***October 18-20, 2013**(Friday - Sunday) - (colloquium talk)
*Study of bases for cyclic subspaces on the Heisenberg group*, St. Louis Univesrity,**Sept 5, 2013** - (Invited speaker
*) Br**acket map for the Heisenberg group and the characterization of cyclic subspaces*,

University of Colorado Boulder, Boulder, CO, April 13-14, 2013 (Saturday - Sunday), Meeting #1089 - (Invited speaker)
*The Rotation Groups and its Representations;*Mathematical Physcis Graduate Seminar, April 15, 2013.

- 2012

*(Invited speaker) Structure of Shift-Invariant Subspaces and their Bases for the Heisenberg Group,*Texas A&M University*,*College Station, July 16 - 22.*(Invited speaker) Wavelet frames and some of their applications in practice*, Collequim talk at Queens College, CUNY, April 19, 2012*(Invited speaker) Shift invariant subspaces for the Heisenberg group*, Analysis of Wavelets, Frames and Fractals, Special seeion of the Spring Eastern AMS meeting, George Washington University, DC, March 18, 2012- (invited speaker)
*An introduction to frames and wavelet frames*- Math and Computer Science Collequim talk at City College, CUNY, March 6, 2012 *(Invited speaker) Structure of shift-invariant subspaces for the Heisenberg group,*at AMS Session on Classical and Abstract Harmonic Analysis: Topological and Lie Groups, Boston, Massachusetts, Jan. 7, 2012.

- 2011

- (invited speaker) Besov spaces on Carnot spaces: Yet another example of coorbit spaces, Shanks Conference and Lecture in Approximation Theory, at Vanderbilt University, Nashville, Tennessee, May 17-21, 2011.
- (with honorarium) Wavelets: A tool for studying Banach function spaces, Purdue University, West Lafayette, Jan. 27, 2011
- (Invited speaker) Homogeneous Besov spaces on the stratified Lie groups as generalized coorbit spaces, AMS Joint Meeting, New Orleans, Jan. 7, 2011
- (with honorarium)) In-homogeneous Besov spaces for abstract Hilbert spaces, A satellite workshop of AMS in Baton Rouge, State University of Louisiana, Jan. 5, 2011

- 2010

- Wavelets on the Heisenberg group versus the real line, The City Tech Research Conference, CUNY, March 12, 2010.
- (Invited speaker) Multiresolution Shannon-type wavelet on the Heisenberg group, AMS Joint Meeting, San Francisco, Jan. 16, 2010
- (Invited speaker) Construction of a Shannon-type wavelet on the Heisenberg group, Workshop ``on Optimal Frames and Operator Algebras", San Francisco State University Jan 17-18, 2010, as a Satellite Workshop of the AMS National Conference in San Francisco Jan 13-16, 2010

- 2009

- (Invited speaker with honorarium) Spin wavelets on the sphere and their characterization into frames, Illinois/MIssouri Applied Harmonic Analysis Seminar, St. Louis University, Nov. 14, 2009.
- (Invited speaker with honorarium) Heisenberg wavelet sets and their characterization, Texas A&M University, July 29, 2009.
- (Invited speaker with honorarium) Wavelet frame characterization of Besov spaces on stratified Lie groups, St. Louis University, May 28, 2009.
- (Invited speaker with honorarium) Shannon-type wavelet on the Heisenberg group, Washington University in St. Louis, May 26, 2009.
- (Invited speaker with honorarium) Wavelet frames on stratified Lie groups and their applications, Oregon, The University of Oregon, March 31, 2009.

- 2008

- (with honorarium) Spectral theory approach to wavelet theory on Lie groups, Texas A\&M University, Jul.23, 2008.
- Well-localized wavelets on compact manifolds, Strobl, Austria, Jul.9, 2008.
- Schwartz frames on the sphere, Technische Universitaet Muenchen, Jun.4, 2008
- (invited speaker) Mexican hat needlets and the uncorrelated coefficients, University of Rome Tor Vergata, Italy, Mar.17, 2008.
- (with honorarium) Introduction to Wavelets on the Sphere, University of Waterloo, Feb 15, 2008.

- 2007
- Besov Spaces and frames on stratified Lie groups, Inzell, Germany, Sep.17-21, 2007.
- (Poster presentation) Nearly tight wavelet frames for stratified Lie groups, Strobl, Austria, Jun.18-22, 2007
- (with honorarium) An introduction to the Schwartz frames on the stratified Lie groups, Rafsanjan, Iran, Mar.7-9, 2007
- (Invited speaker) Approximation through the Schwartz wavelets with arbitrary many vanishing moments, University of Erlangen, 47th Workshop in Approximation Theory, Nuernberg, Gremany, Feb.02, 2007
- 2006 and earlier
- Discrete and continuous mexican hat wavelet on the Heisenberg group, ICM, Madrid, Aug.23-30, 2006
- Constructing and implementing wavelets on the torus, HASSIP Workshop 06, GSF-IBB, Neuherberg Munich, Germany, Sep.11-14, 2006
- (poster presentation) Mexican hat wavelet on the Heisenberg group, Workshop on Wavelets and Applications Semester, EPFL, Lausanne, Switzerland, Jul.10-14, 2006
- Some continuous and discrete wavelet theory for the Heisenberg group and other stratified Lie groups, Workshop on Recent Progress in Wavelet Analysis and Frame Theory, Bremen, Germany, Jan.23-26, 2006
- Some wavelet theory for stratified Lie groups through the solution of heat equation, Int. Conf. in Harmonic Analysis and Partial Differential Equations, Kiel, Germany, Jun 2005
- (with honorarium) An introduction to continuous and discrete wavelets on the Heisenberg group, Stony Brook University, New York, Feb.22, 2005
- Shannon multiresolution analysis on the Heisenberg group, TUM, Technische Universitaet Muenche, Germany, Jun 2003
- 2014
- An introduction to finite frame theory and its application in signal transmission, the Graduate Center, CUNY, Feb. 7, 2014,

**Presenstations for Students **

updated August 2014