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Hire Dr. Rounak B.

India

USD 10 /hr

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

Profile Summary

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)

Subject Matter Expertise

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

Services

• 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

Work Experience

Postdoctoral Researcher (Research Associate)

Indian Statistical Institute, Kolkata.

July 2025 - Present

Research Scholar

National Institute of Technology Karnataka

October 2020 - Present

Chegg subject matter expert in mathematics

Chegg

September 2019 - January 2021

Education

Ph.D in Mathematics

National Institute of Technology Surathkal - India

October 2020 - June 2025

M.Sc in Pure Mathematics

Ramakrishna Mission Vidyamandira

June 2017 - July 2019

B.Sc in Mathematics, Physics and Chemistry

University of Kalyani

March 2014 - June 2017

Certifications

• CSIR-NET

  CSIR

  June 2019 - June 2021

• GATE

  IIT Madras

  June 2019 - June 2021

Publications

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.