プロフィール詳細

プロジェクトを作成

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Dr. Rounak B.に依頼

India

PhD in Mathematics with expertise in Functional Analysis, Operator Theory, and Linear Algebra.

プロフィール概要

My academic journey has been focused on Mathematics: 1. Ph.D. in Mathematics, National Institute of Technology Karnataka, Surathkal (2020-2025) Supervisor: Dr. Falguni Roy 2. M.Sc. in Mathematics, Ramakrishna Mission Vidyamandira, Kolkata (xxxxxxxxx) Supervisor: Dr. Amit Samanta ( Awarded a Gold Medal for securing the 1st rank in M.Sc.) 3. B.Sc. in Mathematics, Krishnagar Government College, University of Kalyani (xxxxxxxxx) Research: My research interests are in functional analysis, operator theory, analytic function theory, and generalized inverse. My work has been published in peer-reviewed journals, and I have additional research currently under review. Published Articles: 1. Biswas, R., & Roy, F. (2024). "Drazin and group invertibility in algebras spanned by two idempotents." Linear Algebra and its Applications*, 689, 155-175 2. Biswas, R., & Roy, F. (2025). "Comprehensive classification of the algebra generated by two idempotent matrices." Linear Algebra and its Applications*, 705, 185-206 3. Biswas, R., & Roy, F. (2025). "Additive Properties of the generalized and pseudo n-strong Drazin Inverse in Banach Algebras."Indian Journal of Pure and Applied Mathematics*, 1-13 Preprints (Under Review): 1. "Drazin and g-Drazin invertibility of combinations of three Banach algebra elements" 2. "Additive and multiplicative properties of Drazin inverse under new weakly commutativity condition" Conference Talks: I presented my research at the International Conference on Linear Algebra and its Applications (ICLAA), organized by MAHE, Manipal, in 2023. The talk was titled "Additive Properties of the generalized and pseudo n-strong Drazin Inverse in Banach Algebras". Experience and Skills: Teaching Experience 1. As an instructor, I have taught MA110: Engineering Mathematics I (Multivariable Calculus) at NITK Surathkal in December 2022 2. I have also served as a Teaching Assistant for courses in Linear Algebra and Engineering Mathematics II. Awards and Recognition: 1. Cleared the CSIR-NET in June 2019 with an All India Rank of 34 2. Cleared GATE in 2019 3. Received an Institute fellowship at NITK in 2020 Technical and Language Skills: 1. Programming/Software: LaTeX, MATLAB 2. Languages: Bengali (Mother tongue), English (Fluent), and Hindi (Fluent)

専門分野

• ☆ Pure Mathematics
• ☆ Algebra
• ☆ Calculus
• ☆ Mathematical Analysis
• ☆ Topology
• ☆ Discrete Mathematics

サービス

• Writing
• Research
• Consulting

Writing General Proofreading & Editing

Research User Research, Gray Literature Search, Scientific and Technical Research, Systematic Literature Review

Consulting Scientific and Technical Consulting

職務経験

Postdoctoral Researcher (Research Associate)

Indian Statistical Institute, Kolkata.

7月 2025 - 現在

Research Scholar

National Institute of Technology Karnataka

10月 2020 - 現在

Chegg subject matter expert in mathematics

Chegg

9月 2019 - 1月 2021

学歴

Ph.D in Mathematics

National Institute of Technology Surathkal - India

10月 2020 - 6月 2025

M.Sc in Pure Mathematics

Ramakrishna Mission Vidyamandira

6月 2017 - 7月 2019

B.Sc in Mathematics, Physics and Chemistry

University of Kalyani

3月 2014 - 6月 2017

認定資格

• CSIR-NET

  CSIR

  6月 2019 - 6月 2021

• GATE

  IIT Madras

  6月 2019 - 6月 2021

出版物

JOURNAL ARTICLE

Rounak Biswas, Falguni Roy (2025). Additive Properties of the generalized and pseudo n-strong Drazin Inverse in Banach Algebras . Indian Journal of Pure and Applied Mathematics.

Rounak Biswas, Falguni Roy (2025). Comprehensive classification of the algebra generated by two idempotent matrices . Linear Algebra and its Applications.

Rounak Biswas, Falguni Roy (2024). Drazin and group invertibility in algebras spanned by two idempotents . Linear Algebra and its Applications.