Research अनुसन्धान

Research Interests

Galois Theory, Field Theory, Root Clusters, Inverse Galois Problem, Inverse Problems in Theory of Root Clusters and in Theory of Minimal Generating Sets of Galois Closure, Commutative Algebra, Algebraic Number Theory, Group Theory, Galois Representations, Linear Groups and Projective Linear Groups.

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Research Publications and Preprints

Shubham Jaiswal. On Root Capacity, Intersection Indicium, Minimal Generating Sets of Galois Closure & Compositum Feasible Triplets. arXiv preprint. Submitted to journal.

https://arxiv.org/abs/2505.20238, August 2025.

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Shubham Jaiswal and P Vanchinathan. On Minimal Generating Sets of Splitting Field and Cluster Towers. arXiv preprint. Submitted to journal.

https://arxiv.org/abs/2505.00672, August 2025.

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Chandrasheel Bhagwat and Shubham Jaiswal. Cluster Magnification, Root Capacity, Unique Chains, Base Change and Ascending Index. Proc. Indian Acad. Sci. (Math. Sci.) (2025) 135:19.

https://arxiv.org/abs/2405.06825, Sept 2024.

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Chandrasheel Bhagwat and Shubham Jaiswal. Right Splitting, Galois Correspondence, Galois Representations and Inverse Galois Problem. J. Ramanujan Math. Soc. 40, No.3 (2025) 229–244.

https://arxiv.org/abs/2403.14316, March 2024.

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Arxiv