• Jolt Factorization of Nonlinear Symplectic Maps (Sole investigator). Sponsored by National Board for Higher Mathematics (1996-1999).
  
  
• Applications of Lie Algebraic Techniques to Accelerator Physics (Sole Investigator). Sponsored by Department of Science and Technology (1997-2000).
  
  
• Establishment of Indian S&T Server and Internet School (Co-Investigator). Sponsored by Department of Scientific and Industrial Research (1998-2001).
  
  
• Evolution of specialization and organization in economic systems (Principal Investigator). Sponsored by Department of Science and Technology (2000-2003).
  
  
• Funding of Nonlinear Studies Group at IISc (Co-Investigator). Sponsored by Indian Space Research Organisation (2001-2006).
  
  
• Programme on analytics and numerics of non-linear systems (Co-Investigator). Sponsored by Defence Research and Development Organisation (2001-2004).
  
  
• Causality measures and VAR modelling of time series (Sole Investigator). Sponsored by Defence Research and Development Organisation under the IISc-DRDO Engineering Mathematics Programme (2001-2003).
  
  
• A high- resolution study of loess/dunal deposits of Gujarat: Pilot project (Co-Principal Investigator). Sponsored by Department of Science and Technology (2001-2002).
  
  
• Kalman filtering and nonlinear causality measures (Sole Investigator). Sponsored by Defence Research and Development Organisation under the Engineering Mathematics Programme (2003-2005).
  
  
• Indo-French cyber university project at IISc (jointly with Prof. N. Balakrishnan). Sponsored by Ministry for Human Resources Development (2003- ).
  
  
• Enabling infrastructure for projects in computational mathematics (Principal Investigator). Sponsored by Defence Research and Development Organisation (2004-2007).
  
  
• Experimental and computational studies on neurobiological systems (Co-Investigator). Sponsored by Department of Biotechnology (2005-08).
  
  
• Characterisation of quaternary sediment from lower reaches of Narmada with special reference to climate variability and cultural evolution (Co-investigator).
  Sponsored by Department of Science and Technology (2005-2008).
  
  
• Effect of noise on causality and a new denoising algorithm (Sole Investigator). Sponsored by Defence Research and Development Organisation under the Engineering Mathematics Programme (2005-2006).
  
  
• Autonomous navigation using Brain-Machine Interface (Principal Investigator). Sponsored by Defence Research and Development Organisation (2006-2009).
  
  
• Block coherence and non-parametric Granger causality (Sole investigator). Sponsored by Defence Research and Development Organisation under the Engineering Mathematics Programme (2006-2009).
  
  
• Mathematics Initiative at the Indian Institute of Science (Principal investigator). Sponsored by Defence Research and Development Organisation (2007-2010).
  
  
• DST Centre for Mathematical Biology (Principal Investigator). Sponsored by the Department of Science and Technology (2007-2012).
  
  
• Indian Institute of Science Mathematics Initiative (Principal Investigator). Sponsored by the Department of Science and Technology (2007-2012).
  
  
• DST IRHPA Centre for Neuroscience at IISc (Co-Investigator). Sponsored by the Department of Science and Technology (2010-2015).
  
  

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