• Algebraic Number Theory (11Rxx) -- Class Groups; Units and factorization; Zeta Functions of Number Fields; Picard Groups of Orders

• Diophantine Equations (11Dxx) -- Exponential Diophantine equations; Diophantine m-tuples; Higher degree equations; Fermat’s equation; Simultaneous Pellian equations

• Elliptic curves (11G05) -- Integer points on families of elliptic curves

• Quadratic Forms (11E41) -- Class Numbers of Quadratic Forms

• Computational Number Theory (11Yxx) -- Algebraic Number Theory Computations; Computer solution of Diophantine equations

• Ph. D. (September 10, 2015), Department of Mathematics, Gauhati University, Guwahati-781014, Assam, India

Thesis: A study on the class numbers of quadratic and cyclotomic fields

Advisor: Prof. Helen K. Saikia.  

• M. Tech. (Computational Seismology, June, 2011), Department of Mathematics, Tezpur University, Tezpur-784028, Assam, India

Thesis: Shear wave velocity structures from the analysis of surface wave and ambient noise  

Advisor: Prof. N. Purnachandra Rao, Scientist-G, National Geophysical Research Institute (CSIR), Hyderabad.

• M. Sc. (Pure Mathematics, November, 2008), Department of Mathematics, Gauhati University, Guwahati-781014, Assam, India.

• B. Sc. (Mathematics, July, 2006), Goalpara College, Goalpara-783101, Assam, India.

• November 2020 -- Onwards: Assistant Professor, Department of Mathematics, Rangapara College, Rangapara, Sonitpur 784505, Assam, India. 

• December 2019--July 2020: Visiting Post-doctoral fellow, The Institute of Mathematics Sciences, CIT Campus, Chennai-600113, Tamil Nadu, India.

• March 2016--October 2019: Post-doctoral fellow, Harish-Chandra Research Institute, Chhatnag Road, Allahabad-211019, Uttar Pradesh, India.

• October 2012--Febraury 2016: JRF/SRF (UGC-CSIR), Department of Mathematics, Gauhati University, Guwahati-781014, India.

• January 2013--February 2016: Visiting Faculty, Department of Mathematical Sciences, Gauhati University Institute of Science and Technology, Guwahati-781014, India.

• November 2012--October 2015: Counselor, Department of Mathematics, Institute of Distance and open Learning, Guwahati-781014, India.

• August 2011--October 2012: Assistant Professor, Regional Institute of Science and Technology, 9-th Mile, Rhi-Bhoi, Meghalaya, India.