1. Short visit to Naval Postgraduate School, California, USA, Dec. 8, 2013 – Jan. 8, 2014.
2. Short Visit to Chinese Academy of Sciences, Beijing, China, Apr. 11-25, 2010.
3. Attented the Summer School ”De Ludo Aleae” on Probability and Homogenization, University of Rome, Italy, Sep.10-16, 2007.
4. UGC-SAP-PhIV Visiting Fellow, Indian Institute of Science, Bangalore, Feb.1-Mar.31, 2007.
5. Short Term Visitor, IISc-TIFR, Bangalore, Apr.1- Jul.10, 2006.
6. IISc Mathematics Initiative Visitor, Indian Institute of Science, Bangalore, Sep.10-Nov.10, 2006.
7. Short Term Visitor, Tata Institute for Fundamental Research, Bangalore, May 1-31, 2005.

Conference/Symposium Organized:

1. SERB/DST and NBHM sponsored National Conference on Stochastic Differential Equations and Applications, IIST, Trivandrum, June 6-7, 2019. (joint with Dr.Manil T. Mohan, IIT Roorkee)
2. NBHM Sponsored Advanced Workshop on Partial Differential Equations and Applications, Central University of Tamilnadu, Thiruvarur, May 29-June 11, 2017. (joint with Dr.N.Baranibalan)
3. IIST Sponsored Young Talent Nurture Program - 2017, IIST, Trivandrum, May 22- June 03, 2017(joint with Dr.Kaushik Mukherjee)
4. NBHM Sponsored National Workshop on Advanced Analysis and Differential Equations, Periyar University, Salem, June 9-17, 2016. (joint with Dr.S.Karthikeyan)
5. Undergraduate Level Training Programme on Differential Equations, NPDE-TCA, IIST, Trivandrum, India, May 18 - June 7, 2016.
6. NBHM sponsored International Conference on Nonlinear Dynamical Systems, in Commemoration of Prof.Balachandran's 60th Birthday, Bharathiar University, Coimbatore, March 24- 26, 2016.
7. Advanced Workshop on Mathematical Theory of Control and Numerics (MTCN-2012) under National Program on Differential Equations: Theory, Computation & Applications (NPDE-TCA, IIT-Bombay), IIST, Trivandrum, India, Nov. 21-30, 2012.
8. Symposium on Recent Advances in Computational and Stochastic Methods in Fluid Dynamics with Control and Estimations, 36th SIAM Southeastern Atlantic Section Conference, University of Alabama, Huntsville, U.S.A, Mar. 24-25, 2012.

Talks in International Meetings:

1. Symposium talk on Regularizing Effect of the Kelvin-Voigt Damping in the Determination of Shear Force of the Euler-Bernoulli Beam, 11th International Conference on Inverse Problems: Modeling and Simulation, Malta, May 26-June 1, 2024.
2. Symposium talk on Regularizing Effect of Damping Mechanisms in Inverse Problems of Evolution Equations, International Congress on Industrial and Applied Mathematics(ICIAM 2023), Tokyo, Japan, August 20-25, 2023.
3. Online plenary talk on Regularizing Effect of Damping Terms in Inverse Problems for Evolution Equations, International Conference on Quasilinear Equations, Inverse Problems and Their Applications, Sochi, Russia, August 22-26, 2022.
4. Ergodicity of Stochastic Navier-Stokes Equations with Levy Noise, International Congress on Industrial and Applied Mathematics(ICIAM 2019), Valencia, Spain, July 15-19, 2019.
5. Inverse Problem for the Generalized Korteweg -de Vries Equation, International Conference on Numerical Analysis, Computing and Applications, Mohandas College of Engineering and Technology,  Trivandrum, Dec. 19, 2018.
6. Dynamic Programming of Stochastic Burgers Equation with Levy Noise, International Congress of Mathematicians  (ICM-2018), Rio de Janeiro, Brazil, Aug. 1-9, 2018.
7. Attended the International Congress of Mathematicians (ICM-2014), Seoul, South Korea, Aug. 13-21, 2014.
8. New Models on Sonar Equation and Calculation of Probability of Detection, 10th Security Workshop, Naval Postgraduate School, Monterey, U.S.A., May 21-23, 2012.
9. Martingale Solutions for Stochastic Navier-Stokes Equations with Ito-Levy Noise, SIAM Southeastern Atlantic Section Conference, University of Alabama, Huntsville, U.S.A., Mar. 24-25, 2012.
10. Viscous Flow Past Moving and Rotating Bodies: Stochastic Analysis and Control, SIAM Conference on Control and Its Applications, Baltimore, U.S.A., Jul. 25-27, 2011.
11. Inverse Problem of Reconstructing a Diffusion Coefficient in the Phase Field System, Chinese Academy of Sciences, Beijing, China, Apr.11-25, 2010.
12. Null Controllability of a Reaction-Diffusion System by One Control Force, Joint Meeting of KMS-AMS, Ewha Woman's University, Seoul, Korea, Dec.16-20, 2009.
13. Controllability of Generalized Block-Scholes Equations, International Conference on Scientific Computation and Differential Equations, Beijing, China, May 25-29, 2009.
14. Carleman Type Estimate and Exact Controllability to the Trajectories of a Parabolic Equation with Memory, Summer School “De Ludo Aleae” on Probability and Homogenization, University of Rome, Italy, Sep10-16, 2007.
15. Carleman Estimate for Parabolic Equation with Memory Effects and Exact Controllability, International Congress on Industrial and Applied Mathematics (ICIAM-2007), ETH-University of Zurich, Switzerland, Jul.16-20,2007.

Talks in National Meetings:

1. Regularizing Effect of Damping Terms in Inverse Problems for the Euler-Bernoulli Beam, National Conference on Recent Advances in Industrial and Applied Mathematics, Periyar University, Salem, July 27–28, 2023.
2. Damping Effects in Inverse Problems for Evolution Equations, CORDENumACA23, Mohandas College of Engineering and Technology, March 23, 2023.
3. Optimal Control of Differential Equations, Theory and Numerics of Differential Equations, IIST, March 16, 2023.
4. Inverse Problems of Higher Order PDEs, NSIMT-2023, PSG Arts and Science College, Coimbatore, January 25, 2023.
5. Online talk on A Class of Inverse Problems of a Generalized Korteweg - deVries Equation, International Conference on Mathematical Sciences, Modeling and
   Computational Intelligence, Kumaraguru College of Technology, Coimbatore, September 29-30, 2022.
6. Inverse Problem of Damped Kirchhoff–Love Plate Equation, Third National Conference on Control and Inverse Problems, Central University of Tamilnadu, Thiruvarur, February 25-26, 2022.
7. Differential Equations and Applications, Refresher Course in Mathematics, Kerala University, Trivandrum, January 9, 2022.
8. A Class of Inverse Problems of a Generalized Korteweg - deVries Equation, National Seminar on Differential Equations: Analysis and Applications, St.Thomas College, Kozhencherry, December 18, 2021.
9. Controllability, Optimal Control and Inverse Problems in Differential Equations, Faculty Development Program organized by Amrita School of Arts and Science, Kochi, July 7, 2021.
10. Five lectures on Stochastic Differential Equations in National Workshop on Stochastic Differential Equations and Applications, Periyar University, Salem, March 10-13, 2021.
11. Webinar on Applications of Partial Differential Equations in Control and Inverse Problems, Kumaraguru College of Technology, Coimbatore, January 20, 2021.
12. A Class of Inverse Problems of a Generalized Korteweg - deVries Equation, Webinar on National Conference on Mathematical Theory of Control, IIST-NIT Puducherry, December 10-12, 2020.
13. Webinar on Optimal Control of Partial Differential Equations and Applications, Reva University, Bangalore, July 16, 2020.
14. Webinar on Optimal Control of Partial Differential Equations and Applications, IIIT-Kottayam, July 3, 2020.
15. Webinar on Differential Equations and Applications to Optimal Control Problems, Kongunadu Arts & Science College, Coimbatore, June 4, 2020.
16. Webinar on Some Aspects of Solutions of Partial Differential Equations, Nirmala College for Women, Coimbatore, May 26, 2020.
17. Inverse Problem for a Cahn-Hilliard Type System by Boundary Measurements, National Conference on PDEs and Applications, Periyar University, Salem, March 5-6, 2020.
18. Four lectures on Stochastic Differential Equations, Periyar University, Salem, March 3-4, 2020.
19. Five lectures on Weak Solutions for Elliptic Equations, Advanced Workshop on PDEs and Applications, Central University of Kerala, December 22-24, 2019.
20. Ergodicity of Navier-Stokes Equations with Levy Noise, International Conference in conjunction with ISIAM-2019, Bharathiar University, Coimbatore, December 5-7, 2019.  
21. Ergodicity of Stochastic Navier-Stokes Equations,  National Conference on Differential Equations and Dynamical Systems, NIT Puducherry, April 5-6, 2019.
22. Trajectory Controllability and Stability of Swift-Hohenberg Equation, National Conference on Control and Inverse Problems, Central University of Tamilnadu, Thiruvarur, Mar. 1-2, 2019.
23. Reconstruction of a Coefficient in the Inverse Problem for the Generalized Korteweg - deVries Equation, National Conference on Recent Developments in Mathematics, Govt Arts College, Coimbatore,  Feb. 22, 2019.
24. Five Lectures on Optimal Control of Differential Equations,  IIT Mandi,  June 13-20, 2018.   
25. Three Lectures on Applications of Differential Equations to Optimal Control Problems, NCM sponsored Instructional School for Teachers, Indian Institute of Space Science and Technology (IIST), Trivandrum, May 14 -26, 2018.
26. Four Lectures on Elliptic PDEs, UGC Sponsored National Workshop on Partial Differential Equations, Periyar University, Salem, March 23-25, 2018.
27. Ergodicity of Stochastic Navier-Stokes Equations, 83rd Annual Conference of IMS- an International Meet, Sri Venkateswara University, Tirupati, Dec. 12-15, 2017
28. Delivered a talk on Differential Equations and Applications, PKR Arts College for Women, Gobi, Tamilnadu, July 14, 2017.
29. Six lectures on Elliptic PDEs, Advanced Workshop on Partial Differential Equations and Applications, Central University of Tamilnadu, Thiruvarur, May 29-June 11, 2017.
30. Four Lectures on Real Analysis, Young Talent Nurture Program (YTN-2017), Indian Institute of Space Science and Technology (IIST), Trivandrum, May 22 - June 03, 2017.
31. Optimal Control of Stochastic Navier-Stokes Equations Forced by Levy Noise, National Conference on Recent Advances in Theoretical and Computational Methods for PDEs, Dr.N.G.P. Arts and Science College, Coimbatore, Jan. 7, 2017.
32. Control and Inverse Problems of Differential Equations, National Conference on Differential Equations and its Applications, P.K.R. Arts college for Women, Gobi, Jan 6, 2017.
33. On the Dynamic Programming Approach for the Optimal Control of Stochastic Navier-Stokes Equations, National Conference on Computational and Theoretical PDEs, NIT Goa, Oct 5-7, 2016.
34. Six Lectures on Existence, Uniqueness and Regularity of Solutions for Partial Differential Equations, National Workshop on Advanced Analysis and Differential Equations, Periyar University, Salem, Jun 9-17, 2016.
35. Five Lectures on Functional Analysis, Young Talent Nurture Program (YTN-2016), Indian Institute of Space Science and Technology (IIST), Trivandrum, May 24 - June 06, 2016.
36. Calculus of Variations and Optimal Control Theory, National Conference on Recent Developments in Differential Equations and their Applications, PSGR Krishnammal College for Women, Coimbatore, Mar 4-5, 2016.
37. Determination of a Coefficient in KdV Equation by Optimization Method, 19th Ramanujan Symposium on Recent Trends in Nonlinear Partial and Fractional Differential Equations, University of Madras, Chennai, Mar 3, 2016.
38. Three Lectures on Optimal Control Theory of Differential Equations, Periyar University, Salem, Feb. 29 - Mar 2, 2016.
39. Two Lectures on Control and Inverse Problems, National Conference on Control and Inverse Problems, Central University of Tamilnadu, Thiruvarur, Feb. 25-26, 2016.
40. Carleman estimates and Controllability of Heat Equation, Advanced Level Workshop on Controllability of Heat and Wave Equation, IIT, Mandi, Nov. 16-20, 2015.
41. Four Lectures on Complex Analysis, Young Talent Nurture Program (YTN-2015), Indian Institute of Space Science and Technology (IIST), Trivandrum, May 25 - June 07, 2015.
42. Optimal Control Theory: Maximum Principle and Dynamic Programming, National Conference on PDEs and Applications, Bharathiar University, Coimbatore, Mar. 26-27, 2015.
43. On the Solvability of Stochastic Navier-Stokes Equations with Levy Noise, National Conference on PDEs and Applications, Bharathiar University, Coimbatore, Jan.30-31,2014.
44. A Little Journey to the Land of Mathematics, DST Inspire Camp, Noorul Islam University, Kumaracovil, Jul. 18, 2013.
45. Some Aspects of Solutions of Partial Differential Equations, Periyar University, Salem, Feb. 22, 2013.
46. Martingale Solutions for Stochastic Navier-Stokes Equations with Levy Noise, Winter School on Stochastic Analysis and Control of Fluid Flow, Indian Institute of Science Education and Research (IISER), Trivandrum, Dec 3-20, 2012.
47. Lectures on Calculus of Variations and Optimal Control Theory, Advanced workshop on Mathematical Theory of Control and Numerics, Indian Institute of Space Science and Technology (IIST), Trivandrum, Nov. 21-30, 2012.
48. Martingale Solutions for Stochastic Navier-Stokes Equations with Ito-Levy Noise, Indian Statistical Institute, Delhi Centre, Delhi, Nov. 23, 2011.
49. Solvability of Incompressible Navier-Stokes Equations in Bounded Domains, Seminar on Differential Equations and Dynamical Systems, SRMKV College, Coimbatore, Feb. 18-19, 2011.
50. Exact Controllability to the Trajectory of a Parabolic Equation with Memory, Proceedings of the National Conference on Applications of Partial Differential Equations, Bharathiar University, Coimbatore, Jan.24-25, 2007.
51. Carleman estimate for a parabolic equation with memory and exact controllability, National Conference on differential Equations and Applications, Periyar University, Salem, Sep.28-29, 2006.
52. On a class of nonlinear parabolic integrodifferential control systems, Recent Trends in Nonlinear Differential equations and Dynamical Systems, P.S.G. College of Arts & Science, Coimbatore, Mar.24-25, 2006.
53. Carleman estimate and exact controllability of partial integrodifferential equations, XIII-Ramanujan Symposium on Nonlinear Differential Equations, The Ramanujan Institute for Advanced Study in Mathematics, Chennai, Feb.8-10, 2006.

Current Doctoral Students:

1. Mr.Sidhartha Patnaik, CSIR funded Ph.D. student since 2019. He works on optimal control problems of magnetization dynamics in ferromagnetic materials.
2. Mr.Tarun Sharma,  NBHM/DAE project fellow since 2023.  He works on parameter identification for diffuse interface models describing multiphase fluids.
3. Ms.Kalpana Rawat, IIST funded Ph.D. student since 2023. She works on optimal control  of stochastic fluid flow models. 

Completed Doctoral Students:

1. Dr.D.Anjuna successfully defended her Ph.D. thesis titled "Inverse Source Problems for the Damped Euler-Bernoulli Beam and Kirchhoff Plate Equations" in February 2024. 

Completed Postdoctoral Students: 

1.  Dr.S.Gnanavel, IIST Postdoctoral Fellow, 2012-2013. Currently, he works as an Assistant Professor at Central University of Kerala.

Research Project:  

1.  DST INSPIRE Project on "Stochastic Analysis, Control, and Solvability of Fluid Flow Models" was awarded by the Indian National Science Academy, India. The total research grant is 3500000 (INR)  for five years from 2012-2017.
2. Department of Atomic Energy/NBHM research project on "Parameter Identification for Diffuse Interface Models Describing Multiphase Fluids." The total research grant is 1619400 (INR) for three years, from 2022-2025.

Conference Support:

1. National conference on Stochastic Differential Equations and Applications in collaboration with IIT Roorkee during June 6-7, 2019.  The total grant received from  DAE/NBHM is 200000 (INR), and DST/SERB is 150000 (INR)