IISER Kolkata

Algebraic Geometry. Vector bundle, principal bundle, Higgs bundle, connection on bundles, moduli space and stack of bundles, stability condition.

Ph. D. (Mathematics), Tata Institute of Fundamental Research, 2018, Algebraic Geometry
M. Sc. (Mathematics), Jadavpur University, 2012
B. Sc. (Honours) (Mathematics), Jadavpur University, 2010

Assistant Professor, IISER Kolkata (current)
Assistant Professor, Jadavpur University (2021 - 2022)
Post Doctoral Fellow, International Centre for Theoretical Sciences (ICTS), Bengaluru (2021 - 2021)
Post Doctoral Fellow, Indian Institute of Technology Bombay, Mumbai (2019 - 2020)
Post Doctoral Fellow, The Institute of Mathematical Sciences (IMSc), Chennai (2018 - 2019)
Short-term Visiting Fellow, Tata Institute of Fundamental Research, Mumbai (2018 - 2018)

A. K. Agarwal Award 2021 from Indian Mathematical Society (2021)
INSPIRE Faculty Fellowship from Ministry of Science & Technology, Department of Science & Technology (2021)
Joint CSIR-UGC Junior Research Fellowship (NET) from Council of Scientific & Industrial Research (2012)

Selected Publications:

Paul, Arjun and Sebastian, Ronnie. 2021."Fundamental group schemes of n-fold symmetric product of a smooth projective curve." Proceedings - Mathematical Sciences, 131, 1--10

Biswas, Indranil; Mukhopadhyay, Swarnava and Paul, Arjun. 2021."Fundamental groups of moduli of principal bundles on curves." Geometriae Dedicata, 214, 629-650

Paul, Arjun and Sebastian, Ronnie. 2020."Fundamental group schemes of Hilbert scheme of n points on a smooth projective surface." Bulletin des Sciences Mathématiques, 164, 102898

Gurjar, Sudarshan and Paul, Arjun. 2020."Criterion for existence of a logarithmic connection on a principal bundle over a smooth complex projective variety." Annals of Global Analysis and Geometry , 58, 241-251

Basu, Suratno; Paul, Arjun and Saha, Arideep. 2019."System of Hodge bundles and generalized opers on smooth projective varieties." Journal of Geometry and Physics, 145, 103484

All Publications:

Chakraborty, Sujoy and Paul, Arjun. 2024."Real Structures on Root Stacks and Parabolic Connections." Geometriae Dedicata, 218, 28

Paul, Arjun and Sebastian, Ronnie. 2021."Fundamental group schemes of n-fold symmetric product of a smooth projective curve." Proceedings - Mathematical Sciences, 131, 1--10

Biswas, Indranil; Mukhopadhyay, Swarnava and Paul, Arjun. 2021."Fundamental groups of moduli of principal bundles on curves." Geometriae Dedicata, 214, 629-650

Paul, Arjun and Sebastian, Ronnie. 2020."Fundamental group schemes of Hilbert scheme of n points on a smooth projective surface." Bulletin des Sciences Mathématiques, 164, 102898

Gurjar, Sudarshan and Paul, Arjun. 2020."Criterion for existence of a logarithmic connection on a principal bundle over a smooth complex projective variety." Annals of Global Analysis and Geometry , 58, 241-251

Basu, Suratno; Paul, Arjun and Saha, Arideep. 2019."System of Hodge bundles and generalized opers on smooth projective varieties." Journal of Geometry and Physics, 145, 103484

Chakraborty, Sujoy and Paul, Arjun. 2018."Picard Group and Fundamental Group of the Moduli of Higgs Bundles on Curves." Complex Manifolds, 5, 146--149

Biswas, Indranil; Dan, Ananyo; Paul, Arjun and Saha, Arideep. 2017."Logarithmic connections on principal bundles over a Riemann surface." International Journal of Mathematics, 28, 1750088

Biswas, Indranil; Paul, Arjun and Saha, Arideep. 2017."Equivariant bundles and adapted connections." New York Journal of Mathematics, 23, 859--872

Biswas, Indranil; Dan, Ananyo and Paul, Arjun. 2017."Criterion for logarithmic connections with prescribed residues." manuscripta mathematica, 155, 77--88

Biswas, Indranil and Paul, Arjun. 2016."Equivariant bundles and connections." Annals of Global Analysis and Geometry, 51, 347--358

Faculty Details