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About Us

The Centre for Applicable Mathematics is a premier research centre that specialises in mathematical analysis, theoretical and computational analysis of PDEs, and their applications. The Centre is part of the Tata Institute of Fundamental Research, a National Centre of the Government of India, under the umbrella of the Department of Atomic Energy, as well as a deemed University awarding masters and doctoral degrees.  The word Applicable signifies our focus on theory and its interactions with applications. The research activities are complemented by a rigorous graduate programme leading to a PhD in mathematics.

Brief History of CAM

CAM evolved from The TIFR Centre in Indian Institute of Science (IISc) campus which was founded in the 1970s, primarily through the efforts of the School of Mathematics, TIFR Mumbai, to develop expertise in India in mathematical analysis, PDEs, and their applications. During the initial years, many renowned mathematicians from around the world visited the Centre and contributed to its growth. In 2007, the Centre moved from its previous location inside IISc to its current location in Yelahanka and became the Centre for Applicable Mathematics.



The faculty in CAM pursue research in various areas of mathematics and its applications. In particular, in recent years, the major emphasis has been on the following areas.

Partial Differential Equations and Related Areas

  • Qualitative and quantitative properties of solutions of differential equations
    • Elliptic and Parabolic PDE
    • Hyperbolic Equations and Conservation Laws
    • Euler and Navier-Stokes equations
  • Problems in calculus of variations
  • Optimal transportation problems
  • Inverse problems
  • Geometry and analysis
  • Control theory problems of fluid flows


Probability Theory and Related Areas

  • Probability theory
  • Stochastic differential equations
  • Random Geometry, point processes
  • Ergodic Theory and dynamical systems
  • Rough path theory, stochastic analysis

Complex Analysis and Related Areas

  • Potential theory
  • Complex analysis
  • Several complex variables


Computational Science

  • Scientific computing and machine learning
  • Numerical Analysis of differential equations
  • Computational fluid dynamics
  • Geophysical fluid flows


Research work is supported by various types of activities and funding support. Weekly colloquia and seminars bring researchers from all over India and outside to present their latest research work. Longer visits by academics and scientists enable dissemination of new topics through lecture courses and help establish research collaborations. Thematic workshops, discussion meetings and conferences are organised every year to expose faculty members and students to state of the art research and help to bring in current and new research topics. In addition to support from external agencies such National Board for Higher Mathematics (NBHM) and Department of Science and Technology (DST), the Centre also supports faculty, students and postdocs to attend national and international conferences to present their work.

The Centre offers consultancy services to both individuals and institutions, in the application of mathematics and in the theory underlying such applications.


The Centre has played an active role, since its founding, in training researchers in mathematical analysis, PDEs, and their applications. At present, the Centre has the following academic programmes:

    1. PhD (students with a Master’s degree are eligible to enrol)

    2. Integrated PhD (students with a Bachelor's degree are eligible to enrol)

All students receive a scholarship and annual contingency grant, see here for more information.

The Centre, additionally, offers Post Doctoral Fellowships and possibilities of short term visits of students, scientists and academics for research collaboration. There is an annual program of internships which supports bachelor students to spend a few months during summer in the Centre, work with the faculty and students, and do projects. The faculty actively participates and contributes to teaching programs organized under MTTS, NCM and TIFR.