Ramakrishna Mission Residential College, Narendrapur, University of Calcutta, India BSc
Ramakrishna Mission Vidyamandira, Belur Math, University of Calcutta, India MSc
Harish-Chandra Research Institute, Allahabad, India PhD
November 2018-April 2021 - NBHM Postdoctoral Fellow - Ramakrishna Mission Vivekananda Educational and Research Institute, Belur Math, West Bengal
October 2016-October 2018 - Visiting Scientist - Indian Statistical Institute, Delhi
Classification of torsion groups for a family of elliptic curves over various fields
Connection between theory of elliptic curves and certain Diophantine problems
Awards & Fellowships
2017 - NBHM Postdoctoral Fellowship - NBHM/DAE
2016 - Infosys Prize - HRI, Allahabad
2011 - NET - CSIR
2010 - GATE - MHRD
Perfect powers in sum of three fifth powers; Pranabesh Das, Pallab Kanti Dey, Angelos Koutsianas, Nikos Tzanakis; Journal of Number Theory, 2021 August (doi: https://doi.org/10.1016/j.jnt.2021.07.029).
Perfect powersin sum of three fifth powers; P. Das, P. K. Dey, A. Koutsianas, N. Tzanakis; arXiv: 2008.07804; Accepted in Journal of Number Theory (2021).
Torsion groups of Mordell curves over cubic and sextic fields; P. K. Dey, B. Roy; arXiv: 1908.07791v1; Accepted in Publicationes Mathematicae (2021).
Perfect powers in alternating sum of consecutive cubes; P. Das, P. K. Dey, B. Maji, S. S. Rout; Glasnik Matematicki Ser. III, 55 (75), 37–53 (2020).
Sums of weighted fifth powers being a perfect power; a special case; P. Das, P. K. Dey, S. S. Rout; Journal of the Ramanujan Mathematical Society, 35 (1), 23–33 (2020).
Prime powers dividing product of consecutive integer valuesofx2n +1; S. Baier, P. K. Dey; ResearchinNumberTheory, 6(1), Article7,12pp (2020).
Powerful numbers in product of consecutive integer values of a polynomial; P. K. Dey, S. Laishram; Publicationes Mathematicae, 94 (3-4), 319–336 (2019).
Some identities of Cauchy numbers associated with continued fractions; P. K. Dey, T. Komatsu; Results in Mathematics, 74 (2), Article 83, 11pp (2019).
Torsion groups of a family of elliptic curves over number fields; P. K. Dey;Czechoslovak Mathematical Journal, 69 (144), 161–171 (2019).
Diophantine equations concerning balancing and Lucas balancing numbers; P. K. Dey, S. S. Rout; Archiv der Mathematik, 108 (1), 29–43 (2017).
Elliptic curves with rank zero over number fields; P. K. Dey; FunctionesetApproximatio Commentarii Mathematici, 56 (1), 25–37 (2017).
Arithmetic progressions on y2 = x3 + k; P. K. Dey, B. Maji; Journal of Integer Sequences, 19 (7), Article 16.7.4, 12 pp (2016).
An analogue of Artin’s primitive root conjecture;P. K. Dey, B. Kumar; Integers,16, Paper No. A67, 7 pp (2016).
The length of an arithmetic progression represented by a binary quadratic form; P. K. Dey, R. Thangadurai; American Mathematical Monthly, 121 (10), 932–936 (2014).