Associate Professor Murtaz Kvirkvaia holds a PhD in Economics. In 1997-2007, he worked on various academic and administrative positions at Ivane Javakhishvili Tbilisi State University. He served as associate professor and deputy dean of the faculty of Economics and Business.
     
Murtaz Kvirkvaia worked as an assistant professor at the School of Business and Management at Ilia State University from 2008 to 2010,  and he is a visiting professor at the same university since 2011.
In 2007–2020, associate professor Murtaz Kvirkvaia held the School of Business and Management dean's administrative position, and also led the master's program in business administration at the Grigol Robakidze University. At the same university, Murtaz Kvirkvaia was elected first as an assistant professor, and then as a professor.

Murtaz Kvirkvaia was a socio-economic consultant and an expert on employment issues at the United Nations Development Program in Georgia from 2013-2015, as well as an expert at the Shota Rustaveli National Science Foundation. He is currently an expert at the National Center for Educational Quality Enhancement .

Murtaz Kvirkvaia participated in the United States Department of State's Junior Faculty Development Program (JFDP) in 2009-2010 in the field of Business Administration (University of Nebraska, University of Kansas).In 2016 and 2018, he participated in the EU MOBILE + program (Portugal, University of Porto and Poland, University of lazarski).In 2016, he participated in the events organized for the affiliated members of the Institute of Strategy and Competitiveness of Harvard University on issues of competitiveness microeconomics.In 2013-2014, he participated in a program organized by the Swedish International Development Agency (Sida), which was implemented in Georgia and Sweden (Stockholm).He also participated in international development programs in Israel (MASHAV program), USA (USAID) and in Germany (program for the development of future leaders).

Associate Professor Murtaz Kvirkvaia has been a leader, supervisor, lead researcher and coordinator of grant projects for many years. The grant programs were funded by USAID, the East West Management Institute (EWMI), the Shota Rustaveli National Science Foundation, and the U.S. Department of State (Graduate Grants). He has published scientific papers in Georgian and foreign languages.