Research articles

Publications:

1. Title : On two notions of a gerbe over a stack 

Authors: Saikat Chatterjee, Praphulla Koushik

Journal :  Bulletin des Sciences Mathématiques, 

Volume & Year : Volume 163, October 2020,

The journal version :  https://doi.org/10.1016/j.bulsci.2020.102886.  

The arxiv version :  https://arxiv.org/abs/1907.00375.

2. Title: Atiyah sequences and connections on principal bundles over differentiable stacks

Authors:  Indranil Biswas, Saikat Chatterjee , Frank Neumann, and Praphulla Koushik

 Journal : Journal of Noncommutative Geometry 

Volume and Year : Publication date - 27 March 2023.  

The journal version : https://doi.org/10.4171/jncg/486. 

The arXiv version : https://arxiv.org/abs/2012.08442.  

3. Title: Atiyah sequence and Gauge transformations of a principal 2-bundle over a Lie groupoid 

Authors:  Adittya Chaudhuri,  Saikat Chatterjee, and Praphulla Koushik  

Journal : Journal of Geometry and Physics

Volume and Year:  Volume 176, June 2022.

 The journal version: https://doi.org/10.1016/j.geomphys.2022.104509. 

The arXiv version:  https://arxiv.org/abs/2107.13747 

4. Title : Extension of topological groupoids and Serre, Hurewicz morphisms

Authors:  Saikat Chatterjee and Praphulla Koushik

Journal : Applied Categororical Structures 

Volume and Year:  28 August 2023 

The journal version : https://doi.org/10.1007/s10485-023-09744-x  

The arXiv version :  https://arxiv.org/abs/2103.04560

5. Title : Connections on Lie groupoids and Chern-Weil theory 

Authors : Indranil Biswas, Saikat Chatterjee, Frank Neumann, and Praphulla Koushik

 Journal : Reviews in Mathematical Physics. 

Published Date : 21 December 2023

The journal version : https://doi.org/10.1142/S0129055X24500028  

The arXiv version : https://arxiv.org/abs/2012.08447 

PhD thesis: Geometric structures on Lie groupoids and differentiable stacks

Arxiv link https://arxiv.org/abs/2112.13472

My research work is motivated/influenced by the works of following people (incomplete list):

1. Camille Laurent Gengoux (University of Lorraine, France)

2. Ping Xu (Penn State University, USA)

3. Matias del Hoyo (Institute of Mathematics and Statistics, Federal Fluminese University IME-UFF, Brazil)

4. Henrique Bursztyn (IMPA, Brazil)

5. Madeline Jotz Lean (Wurzburg, Germany

6. Rajan Mehta (USA)

7. Julie Bergner (USA)

8.