Non-local deformations of quantum field theories

Counting black hole microstates using localization and complex gravitational solutions

Understanding gauge/gravity duality at weak coupling

QCD in 1+1 dimensions and its string theory dual

The charge-convexity conjecture in conformal field theories

Genetic Regulation of Metabolic Pathways and its Co-ordination with Developmental and Stress Response Programs in Plant Biology

Antibodies that recognize crystal surfaces and 2-dimensional organized patterns.

Mechanisms of crystal nucleation and modulation of crystal growth and properties in biomineralization (bone, mollusk shells, echinoderms).

Mechanism of cell adhesion using crystal substrates.

Understanding how breakdown of this process results in autoimmunity.

Deciphering the molecular and cellular mechanisms that control the establishment of central immune tolerance.

Mode of action of galectin-8, a mammalian lectin

The molecular basis of Insulin Resistance: a Phosphorylation based Uncoupling of Insulin Signalling

The insulin receptor as a model system for transmembrane signaling: Mode of interaction of the insulin receptor with its downstream effector molecules.

Mammalian lectins as regulators of cell adhesion, cell growth, and apoptosis.

Receptor trafficking: Regulation of endocytosis and recycling of the insulin receptor.

Role of Galectin-8 in bone remodeling

the roles of the VEGF pathway in different steps during skeletal development.

Studying the role of mechanical load on embryonic bone development

Motion in random media

Random matrices

Applications in nonlinear filtering, Communication and Information theory

Logarithmically correlated random fields

Antibiotics targeting ribosomes

Protein biosynthesis

Ribosomal mechanisms

Origin of life

Next generation antibiotics

Human genetic diseases – structural and molecular bases

High Order Data Representation, Nonlinear Model Approximation. Taylor Models, High-Order Numerical methods

Semialgebraic Complexity of functions, Signals Acquisition via non-linear model approximation

Analytic Theory of Differential Equations, Generalized Moments, Compositions

Zeroez distribution in Families of Analytic Functions

Model-based image analysis, representation, compression. Model-based search, capturing, and animation

Mapping the synaptic organization of prefrontal cortex circuits

Development of novel optogenetic methods for light-based control of neural activity

Functional dissection of the brain circuits underlying social motivation

Neural mechanisms of working memory and decision making

The role of oxytocin and vasopressin in adaptation to early-life stress