I have completed and defended my thesis at the Department of Mathematics of Rutgers University on 15 April 2003, under the tutelage of Professor Henryk Iwaniec. I was Title X Civilian Assistant Professor at the Department of Mathematical Sciences, United States Military Academy(USMA), West Point, New York during the Academic Year 2003-2004. From July 2004 to June 2006, I was a Postdoctoral Fellow at the Department of Mathematics, University of Toronto under the faculty sponsorship of Professor John Benjamin Friedlander. I have also been a guest researcher at Centre de Recherches Mathématiques in Université de Montréal from February to April 2006. During the 2006/07 academic year, I was a postdoctoral fellow in the Institutionen för Matematik of the Kungliga Tekniska Högskolan(Royal Institute of Technology) in Stockholm Sweden under the faculty sponsorhsip of Professor Pär Martin Kurlberg. Since August of 2007, I have been a tenure-track assistant professor in the School of Physical and Mahtematical Sciences of Nanyang Technological University in Singapore.