Dr Mathur held the following positions:
- Member, Prime Minister’s Council on Climate Change, since 2007 till now.
- Member, Indian Delegation to the Conferences of the Parties to UN Framework Convention on Climate Change, and to all negotiations under the UNFCCC and Major Economies Forum processes, 2007-2011.
- Chairman, Electrotechnical Divisional Council, Bureau of Indian Standards, 2008-2012.
- Member, Expert Committee on Low-Carbon Growth Strategy, Government of India, 2010-present.
- Co-Chair, Working Group on Energy of the Heilegendamm Dialog Process, 2007-2009.
- President, Indian Carbon Market Association, 2004-2006
- Member, UN-Sigma Xi Scientific Expert Group on Climate Change, 2004-2007
- Member, Managing Committee, ASSOCHAM (The Associated Chambers of Commerce and Industry of India), 2005-2006
- Member, Energy Committee (and Chairman, Renewable Energy Subcommittee), CII (Confederation of Indian Industry), 2005-2006
- Member, Governing Council, Indian Wind Energy Association, 2005-2006
- Member, Governing Council, Solar Energy Society of India, 2005-2007 (Secretary, 1995-2000)
- Member, Expert Committee for Techno Economic Analysis of Coal Washing for Thermal Power Stations, Planning Commission, Government of India, 1988
- Member, Thermal Power Station Environmental Appraisal Committee, Ministry of Environment and Forests, Government of India, 1989-1993
- Member, Board of Directors, Tata Cleantech Capital Ltd., 2018-21
- Member, Governing Council, India Habitat Centre, 2016-21
- Member, Governing Council, TERI, 2016-21