Top physics

Particle cosmology (dark matter, leptogenesis, baryogenesis)

Higgs physics

Flavor physics

CP violation

Neutrino physics

Detector upgrades for ATLAS and PHENIX

Collective dynamics.

Heavy boson production and boson-jet correlations

Global event characterization

Analysis of the Heavy Ion data from the ATLAS experiment at the LHC

Viral glycoproteins - HIV and others

BBSome structure and function

Direction selective circuits in the retina and their adaptive properties.

Dynamic computations in retinal ganglion cells.

Mechanisms of retinal adaptation.

Information flow along the visual pathway and interpretation of retinal adaptation by higher order visual structures.

Roles of long noncoding RNAs in gene regulation

Complexity Theory: In particular: Boolean circuit complexity, arithmetic circuit complexity, communication complexity, probabilistically checkable proofs, quantum computation and communication, randomness and derandomization.

Design Principles of mammalian tissues

Combining mathematical models and sensitive single-molecule measurements to study how single cells interact in tissues to jointly bring about physiological goals

Combining theoretical and experimental methods to discover design principles of biological circuits

Systems level analysis of gene regulation networks, with E. coli as a model system.

Systems Immunology

Evolution

Algebraic geometry: Algebraic groups, Singularity theory Geometric invariant theory

Representation theory of real and p-adic groups: Harmonic analysis on Spherical varieties, Gelfand pairs, asymptotic representation theory

Functional analysis: Distributions and generalized functions, Microlocal analysis, Topological vector spaces.

Complex and p-adic Automorphic forms and L-functions.