Born and brought up at Ahmedabad,Gujarat to family of professors, including his father Jayant Joshi. Abhijat received his early education in Gujarati medium. He obtained his higher education and qualifications from shri H.K.Arts College,(With Bagal thela group) Gujarat University. After doing his M.A. (English) with distinction.
He received his M.F.A. from the University of Texas, Austin. Apart from English, he can fluently read, write and speak Gujarati language as he was born and brought up amidst Gujarati speaking people.
He studied in one of the very reputable Gujarati school named Shree Vidyanagar High School in Ahmedabad where he took part in the annual competitions for Gujarati dramas in the school. He won multiple awards as he himself is really a good actor. He enjoyed playing cricket. He joined C.U. Shah Arts College situated in western part of Ahmedabad city, as a professor of English for a while before moving to US to his MFA degree. Writing stories and plays was his passion from his childhood. He penned number of plays, skits in Gujarati and English languages.
Apart from teaching, he was also involved in theater activities. His younger brother Saumya Joshi is also professor and theater personality. His father and mother also were professors. During 1992 Gujarat riots, he wrote a theater production, "A Shaft of Sunlight", which was critically acclaimed; subsequently director Vidhu Vinod Chopra saw the play, which led to them working together in films, Kareeb and Mission Kashmir. A UK based Tamasha Theatre Company in collaboration with Greenwich Repertory Company performed more than 300 Shows, later the play was also adapted in Gujarati as "Marmbhed" 
Like his father Jayant Joshi, who is a Sane Guruji (the great Marathi social reformer Pandurang Sadashiv Sane) scholar, Abhijat was deeply influenced by Sane Guruji. His father drew his attention to the profound concept of dharma as Sane Guruji saw it. All these readings have helped him immensely in writing stories.
He has been working on the script of the third film of Munnabhai trilogy, Munnabhai Chale Amerika and Vidhu Vinod Chopra’s Hollywood flick Broken Horses.