School of Natural Sciences

The Navier–Stokes (NS) equations describe fluid dynamics through a high-dimensional, nonlinear partial differential equations (PDEs) system. Despite their fundamental importance, their behavior in turbulent regimes remains incompletely understood...

The alpha disk model is widely used to describe the accretion disk structures around supermassive black holes, even though it cannot explain many observed properties of AGNs. Various alternative models have been proposed including the ones where...

Quantum condensed matter has traditionally focused on ground states and equilibrium properties of spatially extended systems, such as electrons in crystalline materials. However, the advent of noisy-intermediate-scale-quantum (NISQ) devices has...

Informally, a quantum cellular automaton (QCA) describes some discrete-time local dynamics of a quantum system.  Formally, a QCA is a *-automoprhism of the algebra of local operators.  Local quantum circuits provide one example of QCA, but the...

Powerful techniques have been developed in quantum field theory that employ algebras of local operators, yet local operators cannot create physical charged states in gauge theory or physical nonzero-energy states in perturbative quantum gravity. ...

The so-called galaxy--halo connection is a vast topic concerning how galaxies populate their host dark matter halos.  I will present some works we have made under this grand theme, including (1) the detection of assembly bias signal with the help of...

AI progress is accelerating, and now the leaders expect “artificial general intelligence” (AGI) in 2 to 3 years. While difficult to believe, we must prepare for the possibility. We can take some lessons from previous episodes in which computers...

Despite the undeniable success of the Large Hadron Collider (LHC), Beyond the Standard Model (BSM) physics remains elusive. In this talk, I will outline a multifaceted strategy to maximize discovery potential at current and future high-energy...

The first structures of particle dark matter form by gravitationally condensing out of the smooth mass distribution of the early universe. This formation mechanism leaves these "prompt cusps" with uniquely compact r^-1.5 density profiles and links...

I will start with a broad overview of the theory of initial conditions of the universe, what we know and what we hope to know in the near future.

Then I will describe some recent work. Motivated by precision calculations in primordial cosmology, a...