Statistics and Mathematics Unit,

Indian Statistical Institute, Bangalore Center

Office: S2

8th Mile Mysore Road

RVCE Post, Jnana Bharti

Bangalore - 560059, India

Email: manish at isibang dot ac dot in

Phone: +91-80-26985442; +91(0)80-2848 3002 (Extn 442)

Algebraic Geometry, Commutative algebra, Arithmetic Algebraic Geometry.

Ramified covering maps of singular curves and stability of pulled back bundles (with Indranil Biswas and A. J. Parameswaran) to appear in Rendiconti del Circolo Matematico di Palermo(2) arxiv page

Genuinely ramified maps and monodromy (with Indranil Biswas and A. J. Parameswaran) J. Algebra 644 (2024), 222-231. arxiv page

Pushforward of structure sheaf and virtual global generation. (with Indranil Biswas and A. J. Parameswaran) to appear in Proc. Edin. Math Soc. arxiv page

Characterization of genuine ramification using formal orbifolds (with Indranil Biswas and A. J. Parameswaran) to appear in Arkiv for Matematik arxiv page

Quot schemes and Fourier-Mukai transformation (with Indranil Biswas, Umesh Dubey and A. J. Parameswaran) Complex Manifolds10(2023), no.1, Paper No. 20230152, 8 pp. arxiv page

On the stability of pulled back parabolic vector bundles (with Indranil Biswas and A. J. Parameswaran) J. Math. Sci. Univ. Tokyo 29 (2022), no. 3, 359-382. arxiv page

Genuinely ramified maps and stability of pulled-back parabolic bundles (with Indranil Biswas and A. J. Parameswaran) Indag. Math. (N.S.) 33 (2022), no. 5, 956-964. arxiv page

Bertini type results and their applications. (with Indranil Biswas and A. J. Parameswaran) to appear in Acta Math Vietnam. arxiv page

Higher dimensional formal orbifolds and orbifold bundles in positive characteristic (with Indranil Biswas and A. J. Parameswaran) Comm. Algebra 50 (2022), no. 1, 300-307. arxiv page

On Inertia Conjecture for Alternating group Covers (with Soumyadip Das) J. Pure Appl. Algebra 224 (2020), no. 9, 106363, 14 pp. arxiv page

Ramification theory and formal orbifolds in arbitrary dimension. Proc. Indian Acad. Sci. Math. Sci. 129 (2019), no. 3, Art. 38, 34 pp. pdf-file

Parabolic bundles in positive characteristic. (with Souradeep Majumder) J. Ramanujan Math. Soc. 33 (2018), no. 1, 1-36. pdf-file

Formal orbifolds and orbifold bundles in positive characteristic. (with A. J. Parameswaran) Internat. J. Math. 30 (2019), no. 12, 1950067, 20 pp. arxiv page

Embedding problems for open subgroups of the fundamental group. Ann. Inst. Fourier (Grenoble) 67 (2017), no. 6, 2623-2649. pdf-file

Compositum of wildly ramified extensions. J. Pure Appl. Algebra 218 (2014), no. 8, 1528-1536. pdf-file

Killing wild ramification. Israel J. Math. 199 (2014), no. 1, 421-431. pdf-file

Subgroup structure of fundamental groups in positive characteristic. (with Lior Bary-Soroker) Comm. Algebra, 41 (10), (2013). pdf-file

Fundamental group of affine curves in positive characteristic. J. Algebra 399 (2014), 323-342. pdf-file

Beilinson-Hodge cycles on semiabelian varieties. (with Donu Arapura) Math. Res. Lett. 16 (2009), no. 4, 557--562. pdf-file

Fundamental group in positive characteristic. J. Algebra 319 (2008), no. 12, 5178--5207. pdf

Simultaneous Surface Resolution in Quadratic and Biquadratic Galois Extensions. (with S.S. Abhyankar) Contemporary Mathematics, 390, Dec (2003), 1-8. pdf

Valuations and Rank of Ordered Abelian Groups. Proc. Amer. Math. Soc. 133 (2005), 343-348. pdf

Direct image of structure sheaf and parabolic stability. (with Indranil Biswas and A. J. Parameswaran) preprint available on request.

The tame Nori fundamental group. (with Indranil Biswas and A. J. Parameswaran) preprint available on request.

A criterion for solving embedding problems for the etale fundamental group of curves (with Poulami Mandal) preprint available on request.

Galois closure of henselization. arxiv page

Cyclicity of certain division algebras over $k(\CC\PP^2)$ (with Rajesh Kulkarni) preprint available on request.

Beilinson-Tate cycles on semi-abelian varieties. (with Donu Arapura) preprint available on request.

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