IAI

Research Interest

Homogeneous operators, Cowen-Douglas class of operators, Study of Reproducing kernel Hilbert modules using tools of complex geometry, Dilation theory.

Work Experience

• Post-Doctoral Researcher, Mathematical Institute, Silesian University in Opava, Czech Republic (Sep 2021 – Aug 2022)
  
  
• Post Doctoral Fellow, Indian Institute of Science Education and Research Kolkata (Sep 2018 – Aug 2021)
  
  
• Research Associate, Indian Institute of Science (Feb 2018 – Jul 2018).

Academic Qualification

• Ph.D. in Mathematics, Indian Institute of Science, Bangalore, India
  
  
• M.Sc. in Mathematics, Indian Institute of Technology, Delhi, India
  
  
• B.Sc. Honours in Mathematics, Burdwan Raj College, University of Burdwan, West Bengal, India
  
  

Awards and Fellowships

• CSIR-NET June, 2011.
  
  
• National Board of Higher Mathematics (NBHM) Ph.D Scholarship 2012.
  
  
• National Board of Higher Mathematics (NBHM) Post Doctoral Scholarship 2018
  
  

Teaching Experience

• Measure Theory & Functional Analysis at IAI, TCG CREST (January – June 2023).
  
  
• Mathematics I (MA1101) as TA in IISER Kolkata (Dec 2020 – Mar 2021 and Aug – Dec 2019).
  
  
• Mathematics II (MA2101) as TA in IISER Kolkata (Jan – June 2020 and Aug – Dec 2020).
  
  
• Topology (MA231) as TA in IISc Bangalore (Aug – Dec 2016, Aug – Dec 2014).
  
  
• Analysis and Linear Algebra II (UM 102) as TA in IISc Bangalore (Jan – Apr 2016, Jan – Apr 2015).
  
  
• Functional Analysis (MA223) as TA in IISc Bangalore (Aug – Dec 2015).

Publications

1. S. Kundu, M. Aggarwal and S. Hazra, Finitely chainable and totally bounded metric spaces: Equivalent characterizations, Topology and its Applications, 2017, vol: 216, pp. 59-73.

2. S. Hazra, Homogeneous 2-shifts, Complex Analysis and Operator Theory, 2019, vol: 13, pp: 1729-1763.

3. P. Deb and S. Hazra, Homogeneous hermitian holomorphic vector bundles and operators in the Cowen-Douglas class over the poly-disc, Journal of Mathematical Analysis and Applications, 2022, vol: 510, no. 2, 32 pp.

4. S. Hazra and Basila P, Homomorphisms between C(X) and C(Y), The Mathematics Student, 2022, vol: 91, nos. 3-4, pp: 1-10.

5. G. Ghosh and S. Hazra, On analytic structure of weighted shifts on generalized directed semi-trees, to appear in Linear and Multilinear Algebra.

6. B. Bagchi, S. Hazra and G. Misra, A product formula for homogeneous characteristic functions, to appear in the Integral Equations and Operator Theory .

7. P. Deb and S. Hazra, A family of homogeneous operators in the Cowen-Douglas class over unit poly-disc, to appear in Studia Mathematica.