1. Three and four field approximations in poroelasticity, Virtual international conference on physical science, NIT Surat, 05-06 February 2021.
2. On the approximation of poroelasticity, International Conference on Advances in Operations Research, Statistics and Mathematics (AOSM 2019) during 28-30 December 2019.
3. Two mixed finite element formulations for poroelasticity, November 07, 2019, BITS-Pilani Goa Campus, Goa, India.
4. Finite element approximations for poroelasticity, 4th International Conference on Recent development in Theory, Computation and applications of differential equations, South Asian University, Delhi, India, 21-23 January 2019.
5. On the convergence of finite volume element methods: An overview, University of Oxford, UK, June 06, 2018
6. On " Interpolated virtual element methods for semi-linear elliptic problems" Panjab University, Chandigarh, 05-09 December, 2016.
7. Institute Colloquium on “Discontinuous finite volume element methods and its applications” at TIFR Bangalore, India, October 20, 2015.
8. Invited talk on “Convergence analysis of finite volume method” International Conference on Current Trend in PDEs: Theory and Computations, South Asian University, Delhi, 28-30 December, 2015.
9. Motivating lecture in SCIENCE TALENT ENRICHMENT PROGRAMME (STEP 2015) held at IISER, December 17, 2015.
10. An institute level talk “On discontinuous finite volume element methods and its application in oil reservoir Studies, University the Concepcion, Chile, June 17, 2014.
11. On “finite volume element methods" in an International conference on Mathematics and Engineering Science, Chitkara University, HP, India, March 20-22, 2014.
12. On “Discontinuous finite volume methods”, in the international conference on emerging trends in applied Mathematics, University of Calcutta, Kolkata, February 12-14, 2014.
13. Invited talk on “Discontinuous finite volume element methods and its application to miscible displacement problems in porous media,” in Second international Conference Supercomputer Technologies of Mathematical Modeling, Yakutsk, Russia, July 09, 2013.
14. On “Finite Volume Approximations for Incompressible Miscible Displacement Problems in Porous Media with Modified Method of Characteristics" in the Fifth Conference on Numerical Analysis and Applications, Lozentz, Bulgaria, June 15-20, 2012.
15. On “Modified Method of Characteristics Combined with finite volume element methods for Incompressible Miscible Displacement Problems in Porous media", in the international Conference on Advances in Modeling, Optimization and Computing" at IIT Roorkee, Roorkee, December 05-07, 2011.
16. On “A combined mixed and discontinuous finite volume element method for Incompressible Miscible Displacement Problems in Porous media", in the International Conference on Recent Trends in Computational Partial Differential Equations". 10- 13 December 2008, IIT Bombay, Powai, Mumbai.
17. On “Finite Volume Element Method for Incompressible Miscible Displacement Problems in Porous Media", in the Sixth International Congress on Industrial and Applied Mathematics, 16 - 20 July, 2007, Zurich, Switzerland.
18. On “Finite Volume Element Method for Hyperbolic equations in Convex Polygonal Domain", in the International Conference on Scientific Computing and its application, 16 -22 May 2006, Banff, Alberta, Canada.

1. A session " Numerical solution of nonlinear system" in short term course on "Dynamical Systems and Chaos theory" organised by the Department of Mathematics, College of Engineering Trivandrum sheduled for the 4th to 6th of January 2016.
2. Two lectures on “ linear algebra” in 3-day FDP on “ Recent trends in Signal Processing” , 01-03, March 2017, College of Engineering, Cherthala, Kerala
3. Ten lectures in lecture series on " Numerical techniques and programming in MATLAB, at Purvanchal University, July 22-28, 2016.
4. Three lectures in "Workshop on high performance scientific computing" IISER Trivandrum, 09-10 June, 2016.
5. Six lectures on "Numerical solution of ODEs" in NPDE-TCA's under graduate programme, IIST Trivandrum, May 18-June 07, 2016.
6. Three lectures in "Workshop on high performance scientific computing" IISER Trivandrum, 09-10 June.
7. Four lectures in YTN-2016, IIST, during May 24-June 06, 2016.
8. Six lectures in "Computational Techniques for differential equations" SVNIT Surat, 02-06 May, 2016.
9. Two lectures in faculty training programme on "Differential Equations and its applications"   College of Engineering Karunagapally, Kerala, Feb. 25, 2016.
10. Delivered three lectures in faculty development programme on "Mathematical Techniques in Engineering Research” at RIT Kottayam, Kerala December 11, 2015..
11. Delivered five lectures in a workshop on "Numerical Computation using MATLAB " held at Purvanchal University, Jaunpur U.P, November 26-30, 2015 .
12. Delivered two lectures in faculty training programme at College of Engineering Karunagapally, Kerala, October 28, 2015.
13. Two talks at VSSC in a 2 Days training programme on “CFD in Propulsion", August 6-7, 2015.
14. Delivered two lectures on finite element methods for control problems in the workshop on “Computational methods for control problems held at Mar Ivanios College Trivandrum, March 16-21, 2015.
15. Delivered three lectures on Linear Algebra and Applications in “Young talent nurture programme" organized by IIST Trivandrum, 28th May to 8th June, 2013.
16. Given 2 lectures on Theoretical Finite Element Methods in Intensive Workshop on "Scienctific Computation" during 21 July 2009 to 25 July, 2009, BITS Goa.

A. Externally Funded Projects 

 1. DST-SERB  MATRICs Project (MTR/2019/000519): 

• Title: Discontinuous virtual element approximation for non-stationary fluid flow problems (started in March 2020).
• Amount: 660000 (in INR)
• Duration : 3 years (2020 to 2023)

2. DST-SERB CRG Project (CRG/2019/003863 ) (Co-PI)

• Title: Numerical Approximation  of Optimal Control Problems Using Virtual Element Method (started in Janurary 2020)
• Amount: 1907400 (in INR)
• Duration: 3 years (March 2020 to March 2023)

 B. ISRO-funded projects

1.   IIST  Project: An IIST research proposal which was submitted to IIST Trivandrum jointly written with Dr. Deepak Mishra (Department of Avionics, IIST Trivandrum):

• Project title:Development and Analysis of Image Fusion Techniques for Satellite Images.
• Duration:  2 year.
• Grant:  6 lacs
• Date of acceptance:  28/10/2015

2.  VSSC project:  Project accepted with VSSC ( Vikaram Sarabhai Space Center)  SMSD Team in developing modules for FEAST Software (Finite element analysis of structures), this project is jointly written with Dr. E. Natarajan, Assistant Professor, Department of Mathematics, IIST Trivandrum.

• Project Title:  Algebraic Multi-grid methods (AMG) for solving  sparse linear system
• Grant:  Approx.  5 lacs
• Duration: 1 and ½ year.
• Date of approval: April 13, 2016

• As a part of my SERB Research Project, I have organized a workshop on “Theory and Numeric of Differential Equations,” which was held at IIST from March 16 to 17, 2023. In this workshop, around 30 research scholars and faculty Members from different institutions participated.
• Convernor for National Conference on Applied Mathematics and Numerics (NCAMN)" jointly organized by Post Graduate and Research Department of Mathematics, Mar Ivanios College, Trivandrum, and the Department of Mathematics, Indian Institute of Space Science and Technology (IIST), Trivandrum, during March 8–10, 2023. This conference includes several keynote talks, invited talks, mini-symposium talks, and paper presentations  
• Advanced level workshop on  "computational methods for control problems" March 16-21, 2015, Jointly organized by IIST Trivandrum and Mar Ivanios college Trivandrum and held at Mar Ivanios college Trivandrum
• International workshop on " Adaptive finite element methods" March 16-25, 2012, Indian Institute of Space Science and Technology Trivandrum, India
• International workshop on "Advances in Computational partial differential equations", 7 feb-5 March, 2011,  BITS-Pilani, Goa Campus.
• Intensive Workshop on "Scienctific Computation" during  21 July 2009 to 25 July, 2009 for research scholars and faculty members of BITS Pilani Goa Campus.

1. Ruchi sandilya, Thesis title: Discontinuous finite volume methods for optimal control problems ( Degree Awarded)

 2. Nitesh Verma, Theis title: Virtual element approximations for transient fluid flow problems on polygonal meshes ( Degree awarded)

3. Utkarsh Rajput , Thesis title: Virtual element methods for viscoelsticity problems   (Ongoing with Prof. Ricardo Ruiez-baier,  Monash University, Australia)

4. Aswini NK, Research  Topic : Virual element methods for conservation laws ( Ongoing with Prof. Aekta Agarwal, IIM Indore)

5. Gaytri S:  Research Topic: Virtual element methods for contact problems (Ongoing)

6. Anosn K:  Research Topic:  Finite element methods for singularly perturbed problems (Ongoing)

SERB' CRG Project   ( CRG/2021/002410 ):

•  Title: Development of novel numerical techniques for miscible displacement problems in porous media
• Amount: 1940400 (in INR)
• Duration: 3 years ( March 2022 to March 2025)