This volume showcases selected recent work presented at the 13th Regional Conference on Mathematical Physics held in Antalya, Turkey in 2010. The conference was dedicated to the memory of Faheem Hussain, one of the initiators of the Regional Conference series, and one of the organizers of the 12th Regional Conference. The OC regionOCO, originally comprised of Turkey, Iran and Pakistan, extends now to Bangladesh and Central Asia. However, the contributing researchers are not only limited to this region.Prominent contributors include B Ahmedov (Tashkent), F Ardalan (Tehran), N Dadhich (Pune), D A Demir (Izmir), R L Hall (Montreal), M Horta su (Istanbul), M Koca (Oman), C S Lim (Kobe), F Mahomed (Johannesburg), A Qadir (Rawalpindi), M A Rashid (Rawalpindi), M Sakamoto (Kobe), M Sharif (Lahore), F Toppan (Rio), N nal (Antalya), amongst others. They sample a number of topics in the formal aspects of mathematical physics, general relativity and cosmology, quantum gravity, quantum field theory, and even applied physics.