1. Assistant Professor in Deparment of Mathematics, Birla Institute of Technology Mesra, Ranchi, from 20^th March, 2023-till date.
2. Assistant Professor in Deparment of Mathematics, Amity University Jharkhand, from  17^th August, 2022-06^th March, 2023.
3. Assistant Professor in Centre of Data Sciences, ITER, Siksha ‘O’ Anusandhan (Deemed to be University), Bhubaneswar from 2^nd August,2021-13^th August,2022.
4. Assistant Professor, University of Petroleum & Energy Studies Dehradun, from 17^th  July, 2017 – 31^st  July December, 2021,
5. Adhoc-Faculty, IIIT Ranchi, Ranchi 8^th August, 2016 – 10^th January, 2017

Present Departmental Responsibilities:

•     ERP Corordinator 
•     Subject coordinator for Numerical Methods (MA204) (SP2024)
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Administrative Responsibilities:

• Worked as Assistant Warden in IIIT Ranchi (Girls hostel, NIT Jamshedpur campus)
• Worked Course coordinator for students from the Program BBA LLB (2018, 2019, 2020 batches) , UPES, Dehradun
• Faculty convener for  7^th National Parliamentary Debate organized by Debsoc, UPES, Dehradun

Specialization : Numerical Functional Analysis, Approximation Theory.

Research Interest : Spectral Approximation of Integral and Differential Operators, Approximate Solution of Operator equations.

• Qualified GATE examination 2012.
• MCM scholarship from IIT Kharagpur, 2009-2011.
• Qualified Joint Admission Test for M.Sc. (JAM), 2009 (Rank 72).

 Publications in Journals

1.   Das, Payel, Sahani, Mitali Madhumita, and Nelakanti, Gnaneshwar. "Legendre spectral projection methods for Urysohn integral equations." Journal of Computational and Applied Mathematics, 263 (2014): 88-102.
2.  Das, Payel, Sahani, Mitali Madhumita, and Nelakanti, Gnaneshwar. "Convergence analysis of Legendre spectral projection methods for Hammerstein integral equations of mixed type." Journal of Applied Mathematics and Computing, 49.1-2 (2015): 529–555.
3.  Das, Payel, Nelakanti, Gnaneshwar, and Long, Guangqing. "Discrete Legendre spectral projection methods for Fredholm-Hammerstein integral equations." Journal of Computational and Applied Mathematics, 278 (2015): 293-305.
4. Das, Payel, and Nelakanti, Gnaneshwar. "Convergence analysis of discrete Legendre spectral projection methods for Hammerstein integral equations of mixed type. " Applied Mathematics and Computation, 265 (2015): 574-601.
5.  Das, Payel, Sahani, Mitali Madhumita, Nelakanti, Gnaneshwar, and Long, Guangqing. "Legendre spectral projection methods for Fredholm-Hammerstein integral equations." Journal of Scientific Computing, 68 (2016): 213-230.
6.  Das, Payel, and Nelakanti, Gnaneshwar. "Superconvergence of the iterated discrete Legendre Galerkin method for Fredholm-Hammerstein integral equations." Journal of Computer Science & Computational Mathematics, 5.4 (2015)
7. Das, Payel, Nelakanti, Gnaneshwar , and Long Guangqing. "Discrete Legendre Spectral Galerkin Method for Urysohn Integral Equations." International Journal of Computer Mathematics, 95 (2018): 465-489.
8. Das, Payel, and Nelakanti, Gnaneshwar. “Error Analysis of Discrete Legendre Multi-Projection  Methods for Nonlinear Fredholm Integral Equations”. Numerical Functional Analysis and Optimization, 38 (2017): 549-574.
9. Das, Payel, and Nelakanti, Gnaneshwar. “Error Analysis of  Polynomial-based  Multi-Projection  Methods for a Class of Nonlinear Fredholm Integral Equations”.  Journal of Applied Mathematics and Computing, 56 (2018): 1-24.
10. Nahid Nilofar, Das Payel, and Nelakanti Gnaneshwar.`` Projection and Multi Projection   Methods for Nonlinear Integral Equations on the Half-Line”. Journal of Computational and Applied Mathematics, 359 (2019): 119-144.
11. Das, Payel, Kapil Kant, and BV Ratish Kumar. "Modified Galerkin method for Volterra-Fredholm-Hammerstein integral equations." Computational and Applied Mathematics 41.6 (2022): 237.
12. Kant, Kapil, Payel Das, Gnaneswar Nelakanti and BV Ratish Kumar. "Modified Galerkin method for derivative dependent Fredholm-Hammerstein integral equations of second kind." Adv. Appl. Math. Mech. DOI: 10.4208/aamm.OA-2022-0277. (2024)

Publication in Conference Proceedings

1. Das, Payel, and Nelakanti, Gnaneshwar. "Convergence analysis of Legendre spectral Galerkin method for Volterra-Fredholm-Hammerstein integral equations." Mathematical Analysis and Applications, Vol-143 of the series Springer Proceedings in Mathematics and Statistics, pp 3-15.
2. Das, Payel, and Gnaneshwar Nelakanti. "Superconvergence of the iterated discrete Legendre Galerkin method for Fredholm-Hammerstein integral equations. Proceedings of the 4-th International Conference on Computer Science & Computational Mathematics (ICCSCM 2015), At Langkawi, Malaysia.
3.  Das, Payel, Nahid Nilofar and Gnaneshwar Nelakanti “Superconvergence of iteratedGalerkin method for a class of nonlinear Fredholm integral equations”. Advances in Intelligent Systems and Computing , Springer, (2020).
4.  Das, Payel ,“Analysis of Legendre Multi-Projection Methods For Mixed Type Urysohn Integral Equations”. AMSE, 2022.

      5.  Jana Mrinal and Payel Das ,“Finding inverse of a matrix with interval parameters using reshaped interval arithmetic” ICEMC, 2024.

Workshops and Conferences Attended:

1.   Indian Women and Mathematics, Supported by National Board for Higher Mathematics, India, at IISER Pune, July 26-28, 2013.
2.  XXIVth. International Workshop on Operator Theory and its Applications, at IISc Bangalore, December 16-20, 2013.
3.  Advanced Workshop on Computational Methods for Integral Equations & Applications, National Programme On Differential Equations Theory, Computation & Application (NPDE-TCA), sponsored by DST, at IIT Kanpur, January 13-17, 2014.
4. Young Women and Mathematics, Supported by National Board for Higher Mathematics, India, at IISER Pune, July 25-27, 2014.
5.  International Conference on Recent Trends in Mathematical Analysis and Applications, at IIT Roorkee (jointly organized with University of Central Florida, Orlando, USA), December 21-23, 2014.
6.  Advanced Level Workshop on Variational Analysis and Optimization, National Programme On Differential Equations Theory, Computation & Application (NPDE- TCA) , sponsored by DST, at IIT Gandhinagar, March 2-7, 2015.
7.  ICITAM, 2019, at HIT Haldia, March 7-9, 2019.
8. AMSE, 2022, at ITER, SoA (Deemed to be University), Bhubaneswar, March 24-26, 2022.