1. Exchange-correlation functionals for low dimensional systems
   • Exchange energy functionals based on DME in 2D and corresponding correlation energy functional.
   • Colle-Salvetti type correlation energy functional.
2. Exchange – Correlation functionals in three-dimensions.
   • Long-range corrected hybrid functionals for molecular systems.
   • Screened meta-GGA hybrids for solids.
3. Development of the Pseudo-potential approach for meta-GGA functionals in plane wave basis set codes.
4. Development of the accurate semi-local exchange potential for band gap calculations.
5. Applying meta-GGA range-separated functionals in the time-dependent DFT.
6. TDDFT applied to molecules and solids with meta-GGA kernels.
7. Implementation of meta-GGA range-separated hybrid functionals in the all-electron codes.
8. Development of dielectric dependent meta-GGA level range-separated hybrid functionals.
9. Use of non-local van der Waals density functionals with semi-local exchange-correlation functionals.
10. Study of non-local electron correlation in biological molecules and their interaction with metal surfaces.
11. Study of the meta-GGA level hybrid functionals in the prediction of excited state properties: A comprehensive comparison with many body GW approximations.

Calculation tools

• Fortran and C (For basic programming)
• OCTOPUS(2D calculations)
• NWCHEM(LC-functionals)
• Wien2K(All electron)
• QCHEM, ADF, Dmol3(For TDDFT)
• Crystal, ADF, CASTEP(For Solids)