Research Interests:

Modified Gravity, Dynamical system analysis, Cosmological Perturbation theory, Graph Theory and applications.
The main motivation for my work is to demonstrate how well-known constructions in  mathematics can be used in some current problems of  cosmology. The study involves  multidisciplinary knowledge. In particular, our aim is to foster new links between mathematics and  cosmology. I am also collaborating with pure mathematicians to explore core areas of spectral graph theory and applications.

Teaching Experience: 20 years

• Ad-hoc Lecturer, Department of Mathematics, Sankardev College, Shillong
• Lecturer, Department of Mathematics, St. Edmund’s College, Shillong
• Guest Lecturer, Department of Commerce and Computer Science, St. Edmund’s College, Shillong.
• Senior Lecturer, Department of Mathematics, St. Edmund’s College, Shillong
• Assistant Professor of Mathematics, Department of BSSS, School of Technology, NEHU

Editorial Experiences: Peer Reviewer Papers of following journals:

• Classical and Quantum Gravity,
• General Rlativity and Gravitation,
•  The European Physical Journal C
• The European Physical Journal Plus
• Modern Physics Letters A
• International Journal of Theoretical Physics
• Canadian Journal of Physics
• Astrophysics and Space Science
• Physica Scripta

Honours and Awards:     

• India Top Cited Paper Award 2021, Institute of Physics, UK.
• Selected Associate of Inter-University Centre for  Astronomy and Astrophysics  (IUCAA), Pune, India with effect from August 2021 till July  2024.
• Erasmus+ (EuRopean Community Action Scheme for the Mobility of University Students) grant 2020.
• Selected Associate of Inter-University Centre for Astronomy and Astrophysics (IUCAA), Pune for the period 2015-2018 and then selected as a Senior Associate of IUCCA for the period 2018 – 2021.
• Served as a reviewer of grant proposal in Narodowe Centrum Nauki (National Science Centre), Poland in 2017.
• Reviewed papers in several International Journals of repute.
• Received full travel and subsistence to visit the International Centre of Theoretical Physics, Trieste, Italy (2014).
• Young Relativist award at the International Conference on Differential Geometry and Relativity (ICDGR-2013).
•  Best Presentation Award of The Indian Science Congress Association, Kolkata in the Section of Mathematical Sciences (including Statistics), 2009.
• NEHU Post Graduate Merit Scholarship.
• Awarded Gold Medal for securing 1st position in M.Sc. examination.
• Secured 3rd position in the B.Sc.(Hons) examination.

Thesis supervised and Ph. D.  Awarded:  Three

• Dr. Binod Chetry, Assistant Professor, Digboi College, Assam.
• Dr. H. Zonunmawia, Guest Faculty, Pachunga College, Mizoram.
• Dr. W. Khyllep, Assistant Professor, St Anthony's College, Shillong             

Recent  administrative responsibilities  and other service:

• Member, Board of Studies, Department of Energy Engineering, School of Technology, NEHU (Since 2019).
• Member, Board of Studies, Department of Information Technology, School off Technology, NEHU (Since 2019).
• Organized two days International Workshop on Mathematical Foundation and Applications of Gravity sponsored by the Science Engineering Research Board, Department of Science and Technology (DST-SERB) ( 25th and 26th August 2022)
• Organized Science Academies' Lecture Workshop on Hyperbolic Partial Differential Equation and Conservation Laws  at NEHU, Shillong  (22-25th February 2017).
• Examination Committee, Department of  Basic Sciences, NEHU (April 2009 -2014).
• Admission  Committee, School of Technology, NEHU (May 2009 -2012).
• Member, Academic Calendar Committee, School of Technology, NEHU (May 2014 – Present).
• Member of the core committee for preparation of presentation for additional teaching positions in the department.
• Member of the core committee for Preparation of PowerPoint presentation for recent  NAAC visit.

Membership of Professional Bodies:

• Life Member of Mathematics Teachers' Association (India).
• Life Member of Indian  Mathematical Society (IMS)
• Life Member of Indian Association of General Relativity and  Gravitation
• Outreach Member of  Society for Industrial and Applied Mathematics, 2016.

Research Projects

Challenging General Relativity at the largest Scales: A systematic investigation of Cosmological Perturbations in Modified Gravity sponsored by Science and Engineering Research Board, Department of Science & Technology, Govt. of India, 2019-2022 (Rs. 22.37 lakhs, Principal  Investigator).

Publications

A. (Scopus Indexed International Journals:)

1. W. Khyllep, Jibitesh Dutta, S. Basilakos and E. N. Saridakis, Background evolution and growth of structures in interacting dark energy scenarios through dynamical system analysis, Phys. Rev. D 105, 043511 (2022).
2. A. Paliathanasis, G. Leon, W. Khyllep, Jibitesh Dutta and S. Pan, Interacting quintessence in light of Generalized Uncertainty Principle: Cosmological perturbations and dynamics, Eur. Phys. J. C 81, 607 (2021).
3. W. Khyllep and Jibitesh Dutta,  Cosmological dynamics and bifurcation analysis of
   the general non-minimally coupled scalar field models, Eur. Phys. J. C 81, 774
   (2021).
4. W. Khyllep, A. Paliathanasis and Jibitesh Dutta, Cosmological solutions and growth index of matter perturbations in f(Q) gravity,  Phys. Rev. D 103, 103521 (2021).
5. B. Chetry, Jibitesh Dutta, U. Debnath and W. Khyllep, Thermodynamic and observational constraints of DGP braneworld in the light of nonlinear electrodynamics, Int. J. Geom. Meth. Mod. Phys. 16, 1950173 (2019).
6. B. Chetry, Jibitesh Dutta and W. Khyllep, Thermodynamics of scalar field models with kinetic corrections, Int. J. Mod. Phys. D 28, 1950163 (2019).
7. W. Khyllep and Jibitesh Dutta, Linear growth index of matter perturbations in Rastall gravity, Phys. Lett. B 797, 134796 (2019).
8. Jibitesh Dutta, W. Khyllep and H. Zonunmawia, Cosmological dynamics of the general non-canonical scalar field models, Eur. Phys. J. C 79, 359 (2019).
9. H. Zonunmawia, W. Khyllep, Jibitesh Dutta and L. Jarv, Cosmological dynamics of brane gravity: A global dynamical system perspective, Phys. Rev. D 98, 083532 (2018).
10. B. Chetry, Jibitesh Dutta and A. Abdolmaleki, Thermodynamics of event horizon with modified Hawking temperature in scalar-tensor gravity, Gen. Rel. Grav. 50,
    130 (2018).
11.  Jibitesh Dutta, W. Khyllep, E. N. Saridakis, N. Tamanini and S. Vagnozzi, Cosmological dynamics of mimetic gravity, J. Cosmo. Astropart. Phys.  02, 041 (2018).
12. Jibitesh Dutta, W. Khyllep and N. Tamanini, Dark energy with a gradient coupling to the dark matter fluid: cosmological dynamics and structure formation,  J. Cosmo. Astropart. Phys.   01, 038 (2018).
13. H. Zonunmawia, W. Khyllep, N. Roy, Jibitesh Dutta and N. Tamanini, Extended Phase Space Analysis of Interacting Dark Energy Models in Loop Quantum Cosmology, Phys. Rev. D 96, 083527 (2017).
14.  Jibitesh Dutta, W. Khyllep and N. Tamanini, Scalar-Fluid interacting dark energy: cosmological dynamics beyond the exponential potential, Phys. Rev. D 95, 023515 (2017).
15. S. K. Biswas, W. Khyllep, Jibitesh Dutta and S. Chakraborty,  Dynamical analysis of an interacting dark energy model in the framework of a particle creation mechanism, Phys. Rev. D 95, 103009 (2017).
16. Jibitesh Dutta, S. Mitra and B. Chetry, Modified Bekenstein-Hawking system in f(R) gravity,  Int. J. Theor. Phys. 55, 4272-4285 (2016).
17.  Jibitesh Dutta, W. Khyllep and N. Tamanini, Cosmological dynamics of scalar fields with kinetic corrections: Beyond the exponential potential, Phys. Rev. D 93, 063004 (2016).
18. Jibitesh Dutta, W. Khyllep and E. Syiemlieh, Late time accelerated scaling attractors in DGP (Dvali-Gabadadze-Porrati) braneworld, Eur. Phys. J. Plus 131, 33 (2016).
19. Jibitesh Dutta, S. Haldar and S. Chakraborty, Formation of Emergent Universe in Brane Scenario as a Consequence of Particle Creation, Astrophys. Space Sci. 361, 21 (2016).
20. Jibitesh Dutta and H. Zonunmawia, Complete cosmic scenario in the Randall-Sundrum braneworld from the dynamical systems perspective, Eur. Phys. J. Plus 130, 221 (2015).
21. Jibitesh Dutta and U. Debnath, Reconstruction of potentials as well as dynamics of scalar fields in DGP braneworld model, Int. J. Theor. Phys. 51, 639-651 (2012).
22. Jibitesh Dutta and S. Chakraborty, Generalized second law of thermodynamics for interacting dark energy in the DGP braneworld, Int. J. Theor. Phys. 50, 2383-2390 (2011).
23.  Jibitesh Dutta, S. Chakraborty and M. Ansari, Holographic dark energy and validity of the generalized second law of thermodynamics in the DGP brane world, Mod. Phys. Lett. A 25, 3069-3079 (2010).
24. Jibitesh Dutta and S. Chakraborty, Validity of generalised second law in holographic DGP brane, Gen. Rel. Grav. 42, 1863-1873 (2010).
25. Jibitesh Dutta, S. Chakraborty and M. Ansari, Non linear equation of state and effective phantom divide in brane models, Int. J. Theor. Phys. 49, 2680-2690 (2010).
26. S. K. Srivastava and Jibitesh Dutta,  Non Linear Equation Of State, Cosmic Acceleration And Deceleration During Phantom-Dominance,  Int. J. Mod. Phys. D 18, 329-345 (2009).

• Teaching and Learning Mathematics with Technology and Applications, International Seminar on Attracting Best Talents In Basic Sciences  during 24-25th July, 2013, Shillong College.
• Taxicab Geometry and its applications, National Seminar on Mathematics, “Mathematics: the need of the hour”, 5th July and 27th August, 2013, Shillong College.

• Aspects of Brane-Gravity, VDM Verlag Dr. Müller  (August 10, 2011).

Academic Collaborations

(i). National  

(ii). International

 Highlights of Research Papers Presented in Major International and National Conferences::

•  “A Study on the cosmological background dynamics and structure formation in symmetric teleparallel gravity” at the International Conference on Cosmology & Gravity (CosmoGrav22)  during March 23 – 24, 2022  hosted by IUCAA Center for Astronomy Research & Development (ICARD) and Gurukul Kangri (Deemed to be University), Haridwar, Uttarakhand, India.
•  “Innovative Perspectives in Teaching and Learning Process using Virtual Manipulatives " at the 4th International Conference on “Innovative and Scientific Teaching and Learning in Higher Education” jointly organized by the IQAC, NEHU, Shillong, and the ISTD, Shillong Chapter  on 28th February, 2022.
• “Singularity analysis and growth of matter perturbations of f(Q) gravity-based cosmological model” International Webinar on Foundations for Contemporary Mathematical Research organised by Department of Mathematics,Manipur University, Imphal during  8-10^th November, 2021 organized by Department of Mathematics, Manipur University, Canchipur, Imphal, Manipur, India.
• Analytical Cosmological Solutions and Growth Index of Matter Perturbations in Symmetric Teleparallel Gravity " at 87th Annual Conference the Indian Mathematical Society, An International meet, organised by Department of Aplied Sciences, JNEC, MGM University, Aurangabad during  4-7th December, 2021.
• “Analysis of an f(Q) gravity based cosmological model" at the 27th International Conference of the International Academy of Physical Sciences (CONIAPS XXVII) on "Mathematical Analysis and Its Applications" jointly organized by Department of Mathematics, Central University of Kerala,  and International Academy of Physical Sciences, Prayagraj during  26-28th October, 2021.
• “Painleve singularity analysis of cosmological solutions and growth index of matter perturbations in the f(Q) gravity” at the 27th International Conference of International
  Academy of Physical Sciences  On Advances in Relativity and Cosmology
  (PARC-2021), organized by  the Department of Mathematics, Birla Institute of Technology and Science – Pilani, Hyderabad Campus, Hyderabad during 26-28th October, 2021.
• “Dynamics of interacting dark energy from a  variational approach” at the 29th meeting of the Indian Association for General Relativity and Gravitation (IAGRG)  at the Indian Institute of Technology, Guwahati  during  18– 20th May 2017.
• “Dynamical systems in dark energy models from the centre manifold theory” perspective in the UGC-SAP sponsored National Seminar: Current Trends in Mathematics at the Department of Mathematics, NEHU, Shillong during 14-16th  March  2017.
•  “A Cosmological Study of a coupled scalar field:  A dynamical System Perspective” at the 81st annual conference of the Indian Mathematical Society (IMS), VNIT, Nagpur   during 27-30^th December, 2015.
• Laws of Thermodynamics in the DGP Braneworld” at Summer School on  Cosmology, International Centre of Theoretical Physics (ICTP), Trieste, Italy held during 4-15th August 2014.

Highlightss of  Recent Invitation and Invited Talks:

• Delivered an invited talk on “Dynamical System in Cosmology” in the “Lecture Series on Differential Geometry, General Relativity and Cosmology” organised by Department of Mathematics and Statistics, Deen Dayal Upadhyaya Gorakhpur University, Gorakhpur  and  during  sponsored by Centre of Excellence Govt.of  U.P during  14-26th March, 2022.
• Served as a Chairperson in one of the session at the  27th International Conference of International Academy of Physical Sciences (CONIAPS XXVII) On Advances in Relativity and Cosmology (PARC-2021), organized by  the Department of Mathematics, Birla Institute of Technology and Science – Pilani, Hyderabad Campus, Hyderabad, India during 26-28th October, 2021.
•  Delivered an invited talk entitled “Dynamics Of Brane Gravity-Based Cosmological models: A Global Dynamical System Perspective” at  the International Conference on Differential Geometry and Relativity  (ICDGR-2019) during November 8-10, 2019 at Department of Mathematics and Statistics, DDU Gorakhpur University.
•   Delivered an invited talk entitled “ Analysis of Cosmological models” at  the National Seminar on Mathematical Sciences (NSMS-2020) during January 9-11, 2020 at Department of Mathematics, University of Burdwan,  Burdwan.
• Served as a Chairperson in the National Seminar on Pure and Applied Mathematics  at St. Mary's College, Shillong (9-20th  September 2018).
• Invited to Discussion Meeting on Teaching of Differential Equations in India at Indian Academy of Sciences, Jalahalli Guest House,  Bangalore (26-28th February 2018)   
• Invited to attend the Eighty-Fourth Annual meeting of the Indian Academy of Sciences held at Banaras Hindu University, Varanasi (1-5th November 2018).
• Delivered an Invited talk entitled Travelling Salesman Problem at Department of Management, National Institute of Fashion Technology, Shillong (13th November 2015).
• Delivered an Invited talk entitled  Geometric and Software Tools for Mathematical Applications at one day seminar entitled Basic Concept and Application of Mathematics, St. Anthony's College, Shillong.(1st August 2015).
• Delivered an Invited talk entitled  Mathematical Modelling In Biology  at Capacity Building, Sensitization  and Awareness in Biotechnology for Higher Secondary Science students of Shillong at St. Edmund's College, Shillong  (26th  July 2014).
• Delivered an Invited talk entitled  Application of Mathematics at Workshop for  Creating Awareness    about      Mathematics amongst the secondary level students  at Deba Kumar Memorial Hall at Bishnupur, Shillong (27-29th  March 2014).
• Delivered an Invited talk entitled  Learning Mathematics with Technology  at 41st KVS Jawaharlal Nehru Science,    Maths and Environment Exhibition, K V NEHU, Shillong (8th October 2013).

Recent Training :

• Participated in the International Workshop cum conference on Mathematics Education organized by Mizoram Uiversity and University of Guadalajara, Mexico during 15th - 20th November 2021.
• Participated in the workshop in Emerging areas in Differential equations and Real World Applications hosted by Dhirubhai Ambani Institute of Information and Communication Technology, Ghandinagar during May 30- June-03, 2022.
• Participated to the online workshop on “Mathematical Ecology and Epidemiology” organized by the Department of Mathematics, Indian Institute of Technology Indore, INDIA, during 17-18th June, 2022.
• One Day Regional Training Programme on Plagiarism Detection Software - URKUND under the aegis of MHRD, Govt. of India at NEHU, Shillong (23rd August 2019).
• Workshop on Massive Open Online Courses(MOOCs) on the theme  Adoption, Promotion and Development Of MOOCs through SWAYAM platform at NEHU, Shillong ( 28-29th May 2019)
• Science Academies'   Refresher Course on Partial Differential Equations and their Applications, IISER Bhopal ( 3rd-15th July 2017).        
• Workshop on Cosmology from Baryons at High Redshift, International Centre of Theoretical Physics, Trieste, Italy (18th-21st August 2014).
• Summer School on Cosmology,International Centre of Theoretical Physics, Trieste, (Italy 4-15^th August 2014).
• International CIMPA Research School and Conference on Fourier Analysis of Groups in Combinatorics, NEHU, Shillong (8-30th November 2013).
• Advanced Instructional School in Algebraic Topology, NEHU, Shillong (13th June-2nd July 2011).