The Aryabhatta Research Institute of Observational Sciences (ARIES) was established in 1976 in Nainital, Uttarakhand. It is known for its contributions to astronomy and mathematics, including the development of astronomical instruments and the study of celestial objects.

The Indian Statistical Institute (ISI) was established in 1931 in Kolkata, West Bengal. It is renowned for its work in statistics and probability, including the development of statistical methods and the training of statisticians.

The Tata Institute of Fundamental Research (TIFR) was established in 1945 in Mumbai, Maharashtra. It is known for its contributions to theoretical physics and mathematics, including the study of string theory and the development of new mathematical techniques.

The Institute of Mathematical Sciences (IMSc) was established in 1962 in Chennai, Tamil Nadu. It is dedicated to the study of mathematics and its applications, including pure mathematics, applied mathematics, and mathematical physics.

The International Institute of Information Technology, Hyderabad (IIIT-H) was established in 1998 in Hyderabad, Telangana. It is known for its contributions to computer science and artificial intelligence, including the development of new algorithms and the study of machine learning.

The Harish-Chandra Research Institute (HRI) was established in 1965 in Allahabad, Uttar Pradesh. It is dedicated to the study of pure and applied mathematics, including algebra, analysis, and geometry.

The Indian Institute of Management Ahmedabad (IIMA) was established in 1961 in Ahmedabad, Gujarat. It is known for its contributions to operations research and management science, including the development of new optimization techniques and the study of supply chain management.

The National Institute of Industrial Engineering (NITIE) was established in 1963 in Mumbai, Maharashtra. It is dedicated to the study of financial mathematics and risk management, including the development of new financial models and the study of risk assessment.

The International Institute of Information Technology, Delhi (IIIT-D) was established in 2008 in New Delhi. It is known for its contributions to cryptography and information security, including the development of new cryptographic algorithms and the study of network security.

The National Centre for Biological Sciences (NCBS) was established in 1992 in Bangalore, Karnataka. It is dedicated to the study of mathematical biology and bioinformatics, including the development of new mathematical models for biological systems and the study of gene expression.

The Tata Institute of Fundamental Research (TIFR) is also known for its contributions to mathematical physics and quantum mechanics, including the study of string theory and the development of new quantum algorithms.

The National Council of Educational Research and Training (NCERT) was established in 1961 in New Delhi. It is dedicated to the study of mathematics education and teacher training, including the development of new curricula and the training of mathematics teachers.

The Centre for Studies in Civilizations (CSC) was established in 1965 in New Delhi. It is known for its contributions to the history of mathematics, including the study of ancient Indian mathematics and the translation of mathematical texts from Sanskrit.

The Central Manufacturing Technology Institute (CMTI) was established in 1962 in Bangalore, Karnataka. It is dedicated to the study of mathematics and its applications in industry, including the development of new manufacturing processes and the study of quality control.

The Delhi School of Economics (DSE) was established in 1949 in New Delhi. It is known for its contributions to the study of mathematical economics and game theory, including the development of new economic models and the study of strategic interactions.