I am an UGC Assistant Professor, appointed by the UGC under their Faculty Recharge Program.
Currently I am working on cosmology and relativity. I am mostly interested in DE and DM models of the universe and on inflationary cosmology. This apart I also work on higher dimensional gravity theory and on wormholes. I use models to understand the universe and its related physics using the given scientific and mathematical tools.
Alsthough my current area of research is in cosmology, I had an exposure on research in various fields of applied mathematics. During My Ph.D I was working with integral equations. I devised numerical techniques for their solutions, and those techniques are nowdays used quite often in related research. During my post-doctoral exposure at University of Utah, USA, I ventured into an altogether new field of Mathematical Biology. Here I used mathematical modelling to predict and understand biological systems. I worked on epidemiology and ecology, Taking various biological systems I tried to model them mathematically and from the ensuing mathematics I predicted their nature and relavance in the actual biological world. After joining Presidency University, I ventured into the field of cosmology and relativity.
This apart I am engaged in taking various undergraduate and post graduate classes here.
B.Sc and M.Sc Mathematics (Jadavpur University, 2002, 2004)
Ph. D Integral Equations (Jadavpur University, 2010)
Post-Doctoral Mathematical Biology (University of Utah, USA)
My Doctoral research was on numerical slution of integral equations. I devised a numerical scheme based on a novel polynomial - the Bernstein polynomials, to solve a wide class of integral equations ranging from regular to weakly singular and singular integral equations. Completing my doctoral work I moved to University Of Utah, USA. There I worked on nonlinear dynamical systems with applications in ecology and epidemiology. The projects I worked on were about modelling physical system and tracking their dynamics using various mathematical tools available. Numerical simulations were then used predict the system.
Research / Administrative Experience+
Cosmology and Astrophysics, problems pertaining to wormhole solutions, f(R) theory of gravity, Interacting dark matter and dark energy and observational results on available data.
Nonlinear dynamical systems with applications pertaining to fields of Mathematical Biology like epidemiology, ecology, population dynamics, brain research etc.
Teaching / Other Experience+
My first teaching experience dates back to 2005 when I worked as a Guest lecturer at Gokhale memorial college, Kolkata. There I was engaged in taking various undergraduate honours and pass courses. Later during my doctoral research I was engaged in teaching undergraduate engineering students at Jadavpur University. The various courses I taught at these places were differential calculus, differential equations, complex analysis, mechanics, computer programming and linear algebra. In 2012-2013 I was teaching at Narula Institute of Tachnology, Agarpara. There I was taking several undergraduate courses for engineering students under WBUT syllabus. Topics included differential and integral calculus, special functions, analysis and graph theory.
Here at Presidency University I am currently engaged in taking both undergraduate and post graduate mathematics classes. Courses include, Graph Theory, Rigid Dynamics, Numerical Analysis, Mathematical Methods, Differential equations, Advanced Numerical Analysis.
Post Graduate Supervision+
So far I had been involved in post graduate supervision of 11 students.
Reviewer at Mathematical Reviews, American Mathematical Society.
1. Subhra Bhattacharya; S. Halder; S. Chakraborty, (2019) Formation of wormholes in modified gravity: Exotic matter and stability, Mod. Phys. Lett. A, 33(1): 1950200.
2. S. Halder; Subhra Bhattacharya; S. Chakraborty, (2019) Wormhole solutions in Rastall gravity theory, Mod. Phys. Lett. A, 34(12): 1950095.
3. S. Halder; Subhra Bhattacharya; S. Chakraborty, (2019) Spherically symmetric wormhole solutions in ageneral anisotropic matter field, Phys. Lett. B, 791: 270–275.
4. S. Chakraborty; Subhra Bhattacharya, (2018) Cosmic evolution with a general Gaussian type scale factor*, Int. J. Mod. Phys. D, 27: 1847019-035025.
(*This essay received an Honorable Mention in the 2018 Essay Competition of the Gravity Research Foundation).
5. Subhra Bhattacharya; S. Halder; S. Chakraborty, (2018) Evolving Cosmic Scenario in Modified Chaplygin Gas with Adiabatic Matter Creation, Annl. Phys., 388: 443-455.
6. Subhra Bhattacharya; S Chakraborty, (2017) f(R) gravity solutions for evolving wormholes, Eur. Phys. J. C, 77: 558-566.
7. G. S. Sharov; Subhra Bhattacharya, S. Pan, R. C. Nunes and S. Chakraborty, (2017) A new interacting two-fluid model and its consequences, Mon. Nocs. Roy. Astron. Soc., 466: 3497–3506 .
8. Subhra Bhattacharya; S Chakraborty, (2016) A model of the emergent Universe in
inhomogeneous spacetime, Class. Quantum Grav., 33: 035013-035019.
9. Supriya Pan; Subhra Bhattacharya; Subenoy Chakraborty, (2015) An analytic model for interacting dark energy and its observational constraints, Mon. Nocs. Roy. Astron. Soc., 452: 3038-3046.
10. Subhra Bhattacharya and F. Adler, (2012) A time since recovery model with varying rates of loss of immunity, Bull. Math. Biol. 74:2810--2819.
11. Subhra Bhattacharya and B. N. Mandal, (2010) Numerical solution of an integral equation arising in the problem of a cruciform crack, Int. J. Appl. Math. and Mech. 6:70-77.
12. Subhra Bhattacharya and B. N. Mandal, (2010) Numerical solution of some classes of logarithmically singular integral equations, J. Adv. Res. Appl. Math. 2:30-38.
13. Subhra Bhattacharya and B. N. Mandal, (2008) Numerical solution of a singular integro-differential equation, Appl. Math. Comput. 195:346-350.
14. Subhra Bhattacharya and B. N. Mandal, (2008) Use of Bernstein polynomials in numerical solution of Volterra integral equations, Appl. Math. Sci. 2:1773-1787.
15. Subhra Bhattacharya and B. N. Mandal, (2008) Numerical solution of two special Fredholm integral equations of mathematical physics, Int. J. Appl. Math. Engng. Sci. 2:117-121.
16. Subhra Bhattacharya and B. N. Mandal, (2007) Numerical solution of some classes of integral equations using Bernstein polynomials, Appl. Math. Comput. 190:1707-1716.