Contact No: 9127489545 Email: hhazarika27@yahoo.com Designation: Assistant Professor
Profile
Educational Qualifications
2022 PhD in Mathematical Sciences, Department of Mathematical Sciences, Tezpur University, India. Title: “Special Types of Primitive Elements of Finite Fields”, Supervisor: Prof. Dhiren Kumar Basnet
2018 M.Sc in Mathematical Sciences, Department of Mathematical Sciences, Tezpur University, India. Specialization: Commutative Algebra
2016 B.Sc in Mathematics, Department of Mathematics, Darrang College, Gauhati University.
Awards
2017, 2018 CSIR-UGC JRF, Research Fellowship from “Council of Scientific and Industrial Research”, India.
2018 GATE, AIR-145, Organised by IIT Guwahati.
2018 NE SLET, Qualified: State Level Examination for Lectureship.
2017 CSIR-UGC LS, Eligible for Lectureship in India, Awarded by: “Council of Scientific and Industrial Research”, India.
2016 1st Class 2nd Rank in B.Sc, CGPA 9.7, Department of Mathematics, Gauhati University. India
Skills
LaTeX
Mathematica
Language skills
Axomia
English
Profile
Educational Qualifications
2022 PhD in Mathematical Sciences, Department of Mathematical Sciences, Tezpur University, India. Title: “Special Types of Primitive Elements of Finite Fields”, Supervisor: Prof. Dhiren Kumar Basnet
2018 M.Sc in Mathematical Sciences, Department of Mathematical Sciences, Tezpur University, India. Specialization: Commutative Algebra
2016 B.Sc in Mathematics, Department of Mathematics, Darrang College, Gauhati University.
Awards
2017, 2018 CSIR-UGC JRF, Research Fellowship from “Council of Scientific and Industrial Research”, India.
2018 GATE, AIR-145, Organised by IIT Guwahati.
2018 NE SLET, Qualified: State Level Examination for Lectureship.
2017 CSIR-UGC LS, Eligible for Lectureship in India, Awarded by: “Council of Scientific and Industrial Research”, India.
2016 1st Class 2nd Rank in B.Sc, CGPA 9.7, Department of Mathematics, Gauhati University. India
Skills
LaTeX
Mathematica
Language skills
Axomia
English
Publications
Research Publications:
Hazarika, H., Basnet, D. K. and, Kapetanakis, G. On existence of primitive normal elements of rational form over finite fields of even characteristic. International Journal of Algebra and Computation, 32(2):357-382, 2022.
Hazarika, H., Basnet, D. K. and Cohen, S. D. The existence of primitive normal elements of quadratic forms over finite fields. Journal of Algebra and Its Applications, 21(4), 2022. DOI: https://doi.org/ 10.1142/S0219498822500682
Hazarika, H. and Basnet, D. K. Pair of primitive normal elements of rational form over finite fields of characteristic 2. Indian Journal of Pure and Applied Mathematics, 2022. DOI: https://doi.org/10.1007/s13226-022- 00231-y
Hazarika, H. and Basnet, D. K. On Existence of Primitive Normal Elements of Cubic Form over Finite Fields. Algebra Colloquium, 29(1):151- 166, 2022.
Articles in Preparation
Hazarika, H. and Basnet, D. K. Pair of primitive elements in quadratic form with prescribed trace over a finite field.
Hazarika, H. and Basnet, D. K. Some sufficient conditions for existence of special type of primitive normal elements over finite fields.
Hazarika, H. and Basnet, D. K. Characteristic function for (r, n)-free and (f, g)-free elements.
Mazumder, A. C., Hazarika, H., Basnet, D. K. and Kapetanakis, G. Primitive normal pairs of elements with one prescribed trace.
Conference Attended
2020 Hazarika, H. Existence of special quadratic type of primitive normal elements over finite fields. 3rd International Conference on Advanced Mathematical Analysis and its Applications, Department of Mathematics.
Berhampur University, Berhampur (Odisha), India 2020 Hazarika, H. A Study Of Primitive Normal Elements Over Finite Fields In Cubic Form. 1st International Conference International Conference On Advances in Mathematics, Science and Technology, Department of Mathematics, Rajiv Gandhi University, Arunachal Pradesh, India
