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School of Mathematical Sciences
राष्ट्रीय विज्ञान शिक्षा एवंअनुसंधान संस्थान
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  2. Panchugopal Bikram

Panchugopal Bikram

By bikram on Fri, 07/10/2016 - 13:56
Designation
Reader-F
Joining Date
03/10/2016
Expiry of Tenure
28/02/2050
Research Area
Functional Analysis
Education

• Ph.D- Insitute of Mathematical Sciences, Chennai, India,  2008-2013,  Advisor: Prof. V. S. Sunder 

• B.Sc, M.Sc-  Ramakrishna Mission Vidyamandira, Belur (Calcutta University), 2003-2008

Research Interest

My Primary research areas are functional analysis and Ergodic Theory. My  central  research area is operator algebra and it evolves  around operator algebra. I study one parameter family of endomorphisms on von Neumann algebras. 

I also  study structure theory  of von Neumann algebras, Connes's classifications theory of type III factors and various others property of  type III factors and  verious dynamical system on von Neumann algebras. 

Awards

• Post Doctorate Fellowship 2013-2015, Ben-Gurion University of the Negev

• CSIR (NET) Fellowship 2008, Junior Research Fellowship 2008, ISI Kolkata, NBHM Ph.D Scholarship, 2008,

• Ranked 4rth in IIT JAM,

• NBHM Master Scholarship, 2006-2008

Publications

10. Contractivity properties of Ornstein–Uhlenbeck semigroup for mixed q-Araki–Woods von Neumann algebras, with R. Mohanta,
J. Math. Phys. 62, 113502 (2021)

9. On the von Neumann algebras associted to Yang-Baxter Operators with Rahul K. R, R. Mohanta, K. Mukherjee and D. Saha,
Proceedings of the Royal Society of Edinburgh, page 1 of 24
DOI:10.1017/prm.2020.62 2020.
8. On the commutants of generaors of q-deformed
Araki-Woods von Neumann algebras with Kunal Mukherjee, to appear Publ. Res. Inst. Math. Sci., 2020.

7. On the classification and modular extendability of E0-semigroups on factors with Daniel Markiewicz, to appear Mathematische Nachrichten, 2019.

6. A Note on Coarse Bimodules with J. Bannon, and K. Mukherjee, Journal of Mathematical Analysis and Applications
Vol. 475, Issue 2, 2019, 1404-1415.

5. On the E0-semigroups of free Araki- Woods factors, with Kunal Mukherjee, Internat. J. Math., Vol. 28, No. 10 (2017).

4. Generator masas in q-deformed Araki-Woods von Neumann algebras and factoriality, with Kunal Mukherjee, J. Func. Anal. 273(2017) 14431478.

3. CAR flows on type III factors and their extendability, Infinite Dimentional Analysis and Quantum Probability and Related Topics
Vol. 17, No. 4(2014) 1450026.

2. On the Extendability of endomorphisms and E0-semigroups on factors, with Masaki Izumi, R. srinivasan and V. S. Sunder, Kyushu J. Math. 68 (2014), 165–179.

1. Hilbert von Neumann modules, with Kunal Mukherjee, R. Srinivasan and V. S. Sunder,
(special issue of) Communications in Stochastic Analysis (in honour of Professor K. R. Parthasarathy), vol. 6, no. 1, (March 2012).

Preprints
 
  • 4.  The non-commutative Neveu Decomposion and Ergodic Theorems for group action with D. Saha 
  • 3.  Poisson boundary on full Fock space, with B. V. Rajarama Bhat, Sandipan De and Narayan Rakshit, arXiv:2109.02010
  • 2.  Non-Injectivity of Mixed q-deformed Araki-Woods von Neumann algebras  with Rahul K. R and  K. Mukherjee, submitted, 2021. 
  • 1.  Mixed q-deformed Araki-Woods von Neumann algebras with Rahul Kumar R and Kunal Mukherjee, submitted, 2020. 
Teaching

     

Measure Theory, Topology, Complex analysis, Metric Space, Calculas,   Functional Analysis, Ergodic Theory 

 

 

Project/Thesis Guidance

• Early Career Research Awards, SERB, DST, from 2019 to 2021 (Rs. 6L).

• CEFIPRA, The Indo-French Centre for the Promotion of Advanced Research, Co-
Pi, from 2019 to 2021 (Rs. 41L+ 60L).

Useful links

  • DAE
  • DST
  • JSTOR
  • MathSciNet
  • NBHM
  • ProjectEuclid
  • ScienceDirect

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Recent blog posts

Noncommutative Geometry and its Applications (NCG@NISER2020)
Purna Chandra Das : A Prosaic Ode to his Exceptional Life
Best paper award at SENSORNETS 2017 for Deepak Kumar Dalai

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