Profile Details

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Hire Dr. Premkumar L.

India

USD 25 /hr

PhD in Mathematics | Researcher | LaTeX Expert | Research Paper Formatting | Academic Writing Support | Online Tutor

Profile Summary

I am a PhD in Mathematics with experience in academic research, university teaching, content development, and research consulting. Currently, I work as an Assistant Professor at Dr. Subhash University, where I teach undergraduate and postgraduate mathematics courses and contribute to curriculum development, academic policy drafting, and research initiatives. My research specialization includes Algebra, Ring Theory, Graph Theory, and mathematical modeling. My doctoral research focused on graph structures associated with commutative rings, and I have published multiple research papers in peer-reviewed journals on topics such as comaximal graphs, zero-divisor graphs, and algebraic graph theory. I have also presented research work at international academic conferences. Apart from academic research, I provide support in: • Mathematical problem solving • Research paper writing and proofreading • LaTeX formatting for theses, dissertations, and journal manuscripts • Statistical/data analysis support for academic research • Content development for educational institutions • Curriculum design and academic documentation • Online tutoring in undergraduate and postgraduate mathematics I am highly proficient in LaTeX and experienced in preparing academic manuscripts according to journal formatting guidelines. I have also worked extensively on institutional policy documents, educational content creation, and research-related documentation. I am committed to delivering accurate, high-quality work within deadlines and helping clients solve academic, research, and mathematical challenges efficiently.

Subject Matter Expertise

• ☆ Pure Mathematics
• ☆ Algebra
• ☆ Graph Theory

Services

• Writing
• Research

Writing Copywriting

Research Scientific and Technical Research

Work Experience

Associate Professor

Dr. Subhash University

October 2022 - Present

Assistant Professor.

Dr. Subhash University

July 2022 - September 2022

Assistant Professor & I/C Principal

Leibniz-Institut für Festkörper- und Werkstoffforschung Dresden eV

July 2017 - June 2022

Assistant Professor

Dr. Subhash University

September 2022 - 2022

Assistant Professor

Dr. Subhash Technical Campus

June 2013 - July 2017

Education

Doctor of Philosophy (Department of Mathematics)

Saurashtra University

January 2014 - April 2021

M.Sc. (Mathematics) (Department of Mathematics)

Sardar Patel University

June 2011 - June 2013

B.Sc. (Mathematics) (Department of Mathematics)

Bahauddin Government Science College

June 2008 - June 2011

Certifications

• Certification details not provided.

Publications

JOURNAL ARTICLE

S. K. Babariya, P. T. Lalchandani (2025). On Adjacency Spectrum of Non-Zero Divisor Graph of \(\mathbb{Z}_n\) . Communications in Mathematics and Applications.

S. Visweswaran, Premkumar T. Lalchandani (2025). Some properties of a graph associated with a non-quasi-local weakly factorial domain and a supergraph of it . Asian-European Journal of Mathematics.

S. Visweswaran, Premkumar T. Lalchandani (2021). The exact zero-divisor graph of a reduced ring . Indian Journal of Pure and Applied Mathematics.

S. Visweswaran and Premkumar T. Lalchandani(2021). The exact zero-divisor graph of a reduced ring . Indian Journal of Pure and Applied Mathematics. Springer Science and Business Media {LLC}

Subramanian V{\.{I}}SWESWARAN and Premkumar T. LALCHANDAN{\.{I}}(2021). The exact annihilating-ideal graph of a commutative ring . Journal of Algebra Combinatorics Discrete Structures and Applications. Microsoft.AspNetCore.Mvc.Localization.LocalizedHtmlString 119--138. Journal of Algebra Combinatorics Discrete Structures and Applications

Subramanian VİSWESWARAN, Premkumar T. LALCHANDANİ (2021). The exact annihilating-ideal graph of a commutative ring . Journal of Algebra Combinatorics Discrete Structures and Applications.

(2019). Some results on modules satisfying S-strong accr∗ . Arab Journal of Mathematical Sciences.

(2019). An alternative approach to theory of weak factoriality . Proceedings - Mathematical Sciences.

(2018). Exact Zero-Divisor Graph of a Commutative Ring . International Journal of Mathematics And its Applications.

(2017). Exact annihilating-ideal graph of commutative rings . Journal of Algebra and Related Topics.

(2016). Exact Zero-Divisor Graph . International Journal of Science , Engineering and Management.

(2016). When is the annihilating ideal graph of a zero-dimensional semiquasilocal commutative ring planar? Nonquasilocal case . Bollettino dell'Unione Matematica Italiana.