General Research Interests
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o. Problems in low-dimensional many-body systems, Integrable spin chains,
Hubberd models, t-j models, ladder-models
 and extensions, Haldane-Shastry and Cologero-Sutherland models,
  
o. Yang-Baxter equation,Quantum and classical R-matrix formalism, Quantum
  groups, Braided groups and Sklyanin algebra, quantum theory of
nonultralocal models, QIST and Integrable Stat Mech models,

o. Conformal field theory and W-algebra,
 reaction-diffusion equation from integrable view
point, Nonlinear dynamical systems, solitons, Descrete systems,
Toda field theory,topological charges, Hopf invariant,Skyrme model,
nonlinear sigma models, Braid group, Knot theory and Link polynomials etc.

Most Recent Research activities
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o. 1D- Quantum Integrable anyon models (delta-function anyon gas, derivative-delta anyon gas,

0. Braided Yang-Baxter equation and  Anyonic madels (anyonic quantum NLS). 

o. Nonlinearizing linear equations to integrable classical systems including 
 discrete systems and possible extensions to 2D
o. Soliton solutions through nonlinearization

o. Integrable Defect-models (sine-Gordon, NLS, KdV etc.

o. Quantum Grassmann manifold quantum determinant and Bethe ansatz
o. Semifluxon theory through defect SG
o. Alternative Bethe ansatz equation through symmetric function approach
o. Nonlinear Tsunami wave model through (couple KdV type equations with variable depth)

o. Unifying ancestor model approach to nonultralocal quantum integrable
  systems    
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