• List of Published Articles:

1. ---

   Sekhar Ghosh, Vishvesh Kumar & Michael Ruzhansky (2024), Compact Embeddings, Eigenvalue Problems, and subelliptic Brezis-Nirenberg equations involving singularity on stratified Lie groups, Mathematische Annalen, 388(4):4201-4249. DOI: 10.1007/s00208-023-02609-7.

2. ---

   Sekhar Ghosh & Dumitru Motreanu (2022). Infinitely many large solutions to a variable order nonlocal singular equation, Fractional Calculus and Applied Analysis, 25(2):822-839. DOI: 10.1007/s13540-022-00039-x

3. ---

   Sekhar Ghosh (2022). An existence result for singular nonlocal fractional Kirchhoff-Schrödinger-Poisson system, Complex Variables and Elliptic Equations, 67(8):1817-1846 . DOI:10.1080/17476933.2021.1900137.

4. ---

    Sekhar Ghosh, Debajyoti Choudhuri & Ratan Kr. Giri (2021). Infinitely many small solutions to an elliptic PDE of variable exponent with a singular nonlinearity, Complex Variables and Elliptic Equations, 66(11):1797-1817. DOI:10.1080/17476933.2020.1781832.

5. ---

   Sekhar Ghosh & Debajyoti Choudhuri (2020). Existence of infinitely many solutions for a nonlocal elliptic PDE involving singularity, Positivity, 24(2):463-479. DOI: 10.1007/s11117-019-00690-4.

6. ---

   Sekhar Ghosh, Kamel Saoudi, Mouna Kratou & Debajyoti Choudhuri (2020). Least energy sign-changing solution of fractional p-Laplacian problems involving singularities, Dynamics of Partial Differential Equations, 17(2):97-115. DOI: 10.4310/DPDE.2020.v17.n2.a1.

7. ---

   Kamel Saoudi, Sekhar Ghosh & Debajyoti Choudhuri (2019). Multiplicity and Hölder regularity of solutions for a nonlocal elliptic PDE involving singularity, Journal of Mathematical Physics, 60(10):1-28, 101509. DOI: 10.1063/1.5107517.

8. ---

   Sekhar Ghosh, Akasmika Panda, & Debajyoti Choudhuri (2019). Multiplicity of solutions to an elliptic problem with singularity and measure data, Electronic Journal of Differential Equations, 2019(60):1-21.  Link: ejde.math.txstate.edu.

9. ---

   Sekhar Ghosh, Debajyoti Choudhuri & Ratan Kr. Giri (2019). Singular nonlocal problem involving measure data, Bulletin of the Brazilian Mathematical Society, New Series, 50(1):187-209. DOI:10.1007/s00574-018-0100-1.

10. ---

    Akasmika Panda, Sekhar Ghosh & Debajyoti Choudhuri (2019). Elliptic partial differential equation involving a singularity and a Radon measure, The Journal of the Indian Mathematical Society, 86(1-2):95-117. Link:10.18311/jims/2019/20912.

• List of Communicated Articles:

1. Sekhar Ghosh, Vishvesh Kumar and Michael Ruzhansky. (2023). Best constants in subelliptic fractional  Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups. Arxiv Preprint: https://doi.org/10.48550/arXiv.2306.07657

2. Sekhar Ghosh, D. Choudhuri and Alessio Fiscella, (2023). Existence of at least k solutions to a fractional p-Kirchhoff problem involving singularity and critical exponent.

• Applied Functional Analysis
• Nonlinear Elliptic Partial Differential Equations (PDEs). 
• Function Spaces over Lie Groups and Its Application to PDEs.

Ongoing:

1. LAKSHMI R (P220223MA); January 2023 onwards.
2. SOUVIK BHOWMICK (P230197MA); August 2023 onwards.

MSc Project Students (Ongoing):

1. AVIK MAITY (M220616MA); July 2023 onwards
2. SANJAY SHAKYA (M220598MA); July 2023 onwards

PG courses (MSc Mathematics):

• Measure and Probability (MA6322) in Winter 2022-23

PG courses (M.Tech):

• Mathematical Methods in System Engineering (MA6007E) in Monsoon 2023-24

UG (BTech courses):

• MA2001D Mathematics III (ME - B Batch) in Monsoon 2022-23
• MA2001D Mathematics III (Biotech Batch) in Monsoon 2022-23
• MA2002D Mathematics IV (Civil Engineering - Batch 04) in Winter 2022-23
• MA2001D Mathematics III (EC 01 Batch) in Monsoon 2023-24

• Offered the Research Associateship at the Indian Statistical Institute Bangalore, India in October 2021.
• Offered NBHM Post-Doctoral Fellowship in November 2021 by NBHM, Dept. of Atomic Energy (DAE), India.
• Offered a Post-Doctoral Position at the University of Ufa, Russia.
• Shortlisted and Offered the INI funding to attend the INI programme Fractional differential equations, from Jan 04 to Apr 29, 2022, at the Isaac Newton Institute for Mathematical Sciences, Cambridge, UK.
• Awarded as the best paper presenter in the International Conference on Advances in Mathematics, Science and Technology (ICAMST - 2020), September 01-03, 2020 at Rajiv Gandhi University, India.
• Offered the NBHM PhD scholarship, Jan 2016 by the NBHM, Department of Atomic Energy (DAE), India.
• Qualified the National Eligibility Test (NET) for Assistant Professorship and offered CSIR-Junior Research Fellowship (JRF) in Joint CSIR-UGC NET, June 2014.
• Qualified in Graduate Aptitude Test in Engineering (GATE) 2014 & 2015 conducted by IITs and IISc, Bangalore and offered Junior Research Fellowship to pursue PhD.
• Received NBHM MA/MSC scholarship from NBHM, Dept. of Atomic Energy (DAE), India, for the year 2013-14.