Development of chemical methods for remediation of water polluted by organic compounds and heavy metals.

Fluid flow and chemical transport in groundwater systems.

Percolation, scaling and statistical physics models of structural and dynamic processes in geological formations.

Experimental and theoretical analysis of reactive transport and precipitation/dissolution patterns in porous media.

Non-Archimedean analytic geometry.

Algebraic geometry.

Number theory.

Theoretical high energy physics

Immunopathology in AIDS: Killing of HIV-infected CD4 T cells induced by Autologous CD8 T cells is Modulated by Nef expression

Strongly correlated materials

High temperature superconductivity

Topological phases of matter

Correlations in two-dimensional materials

Topological phenomena in periodically driven systems

Probability and geometry.

Epithelial-mesenchymal transition (EMT), cancer stem cells (CSCs) and Wnt target genes in colon cancer metastasis

The interplay between the role of beta-catenin in cell adhesion and signaling during colon cancer development.

The molecular basis and signaling roles of nerve cell adhesion receptors in colon cancer metastasis

The role of novel beta-catenin target genes in tumor development and metastasis

Teaching and learning computer science

White Dwarf Exoplanets

M-Dwarfs Habitability

Topological electronic phases

Weyl/Dirac topological semimetals

Strong/Weak/Crystalline/Higher-order topological insulators

Topological superconductivity and Majorana modes

Topological nano-devices

Scanning tunneling microscopy and spectroscopy

Molecular beam epitaxy