Integrin-mediated cell-matrix adhesions as mechanosensors: molecular requirements for the force-induced focal adhesion growth.

Cell-cell contact-dependent regulation of the actin cytoskeleton and microtubule system: Role of p120 catenin and other components of cadherin adhesion complex.

Role of myosin-driven contractility in the retrograde surface flow and cell motility.

Cooperation between neuregulin, ErbB-family receptors, and cell surface heparan sulfate proteoglycans in the regulation of cell motility and morphogenesis.

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

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

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

Structural and functional aspects of the multi-enzyme cellulosome complex from cellulose-degrading bacteria.