“The essence of mathematics lies in its freedom.”

                                                                                                                              - Georg Cantor 

About Me

I am an Assistant Professor in the Department of Mathematics at the Sardar Vallabhbhai National Institute of Technology (SVNIT), Surat, India.

My research is uniquely positioned at the intersection of Applied Mathematics (Fluid Mechanics) and Scientific Machine Learning (SciML). I am primarily focused on the development of Physics-Informed Neural Networks (PINNs) and their enhanced variants, alongside analytical approximate methods and computational frameworks. My objective is to design novel computational frameworks that significantly enhance the convergence rates and accuracy of numerical solutions for complex physical systems.

My core expertise encompasses multiphase fluid flow through porous media, reservoir simulation, enhanced oil recovery (EOR), groundwater hydrology, non-linear differential equations, and heat and momentum transfer. I am currently exploring the potential of physics-based information to drive Scientific Machine Learning in scenarios where data is limited or unavailable focusing on replacing the need for large datasets with governing physical laws to build accurate, robust, and reliable models.

Eduaction

• Doctor of Philosophy (Ph.D.), Mathematics (2009), Sardar Vallabhbhai National Institute of Technology (SVNIT), Surat, India
  (An Institute of National Importance under the Govt. of India).

• Master of Science (M.Sc.), Mathematics (2003), Veer Narmad South Gujarat University (VNSGU), Surat, India.

• Bachelor of Science (B.Sc.), Mathematics (2001), P. T. Sarvajanik College of Science (affiliated with VNSGU), Surat, India.

Teaching Experience:

• On 09-04-2021 joined as Assistant Professor in SVNIT, Surat.

Full Time Teaching:

•  I got financial up-gradation in respective Pay Level 11 of the 7 th CPC Pay Matrix with effect form 25.09.2023.

•  Joined the Institute as an Assistant Professor Grade II in Pay Level 10 of 7 th CPC (AGP 6000) on 09.04.2021.

•  From 29/10/2013 to 08-04-2021, worked as Teaching Assistant Applied Mathematics and Humanities Department, SVNIT.

•  From 20/07/2013 to 28/10/2013, worked in Auro University as Assistant Professor in Mathematics.

•  From 22/07/2010 to 19/07/2013 worked as Lecturer on Contract in the Deptt. A.M.&H., SVNIT, Surat.

•  From 01/08/2008 to 25/06/2010 worked as teaching assistant in the Deptt. A.M.&H., SVNIT, Surat.

•  Since March 2007 joined the Deptt. A.S.&H., SVNIT, Surat as Ph.D. Research Scholar with Institutional Scholarship. 

• Worked as Teaching Assistant on contract basis during January 2005 to February 2007, at Mathematics Section of A.S.& H. Deptt. of SVNIT, Surat.

Visiting Lecturer:

• Since 2017 teaching as visiting Faculty in IIIT, Surat.

•  Worked as visiting Lecturer in Mathematical Foundation in Computer Science, Deptt. of Comp. Sci., Veer Narmad South Gujarat University, at M. C. A. 1 st Semester, academic year 2006-2007.

•  Worked as visiting Lecturer in Veer Narmad South Gujarat University, at M.Sc. IT 1 st Semester (Operation Research), academic year 2006-2007.

•  Worked as Visiting Lecturer on hourly basis from 28 th July, 2003 to 9 th November, 2004 at Mathematics Section of A.S.&H. Deptt. of SVNIT, Surat.

Research Experience:

• Registered for Ph. D. on 27 th July 2005, under guidance of Prof. M.N. Mehta, in field of Fluid Flow through Porous Media.

•  In first and second semester of Ph.D., 12 credits earned with CGPA 9.33.

•  Thesis entitled “Classical Solution of Non-linear Equations arising in Fluid Flow through Homogeneous Porous Media” was submitted on 8 th Jan 2009.

•  Viva-voce examination was over on 28 th April 2009.

•  Ph.D. Notification was issued on 4 th May 2009.

Awards/ Medals

• Young Researcher Award for best paper in International Meet, 52nd Congress ofIndian Society of Theoretical and Applied Mechanics (ISTAM), December 2009, New Delhi, for the Research Paper entitled “Mathematical Formulation and AnalyticalApproximate Expression for Co-current Imbibition front in Homogeneous Porous Media.”

•  Selected for Summer Research Fellowships 2010 (IAS).

🎓Opportunities for Students / Join My Research Group 

If you are already enrolled as a student at SVNIT Surat, please stop by my office or email me if you are interested in working with me. Interested candidates who want to pursue a Ph.D. in my research topics are welcome to email me their resumes, highlighting their past research, technical experience, projects, and interests. Students with no prior research experience are also welcome to apply.