Panchugopal Bikram

Submitted by bikram on 7 October, 2016 - 13:56

Designation:

Assistant Professor

Research Area:

Functional Analysis

Research Interest:

My Primary research area is functional analysis and main research area is 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 ergodic theory.

Publications:

•On the E0-semigroups of free Araki- Woods factors, with Kunal Mukherjee, to appear in Internat. J. Math., 2017.

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

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

• 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.

• 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:

• Panchugopal Bikram and Daniel Markiewicz; On the classification and modular extendability of E0-semigroups on factors- Submitted to Journal , arXiv:1409.6675 [math.OA],

Teaching:

1. Lebesgue Integration

Contact:

Office Phone:

+916742494085

Office Room:

M211

Office address:

P.O.: Bhimpur-Padanpur, Via- Jatni, Dist- Khurda, Odisha-752050, India.

School of Mathematical Sciences

Faculty