Video Lectures

In 1986, Hooley applied (what practically amounts to) the general Langlands reciprocity (modularity) conjecture and GRH in a fresh new way, over certain families of cubic 3-folds. This eventually led to conditional near-optimal bounds for the number...

The orbital evolution of binary systems perturbed by external tidal forces represents one of the oldest problems in celestial mechanics.   Interest in this class of problems has resurged recently due to the discovery of various exotic astrophysical...

Carey Perloff is a director, playwright, producer, book author and educator who served as Artistic Director of the American Conservatory Theater in San Francisco for 25 years (1992 to 2018). 

Carey’s career as a director in the American theater was...

There is a Narain CFT naturally associated to any self-dual quantum stabilizer code.  For these "code CFTs", the constraints of modular invariance reduce to simple algebraic equations satisfied by the enumerator polynomial of the code, which can be...

Let f=∑anxn∈ℚ[x] be a power series which is also a meromorphic function in some neighborhood of the origin. The subject of the talk will be how certain conditions on f(x) as a meromorphic function actually guarantee that f(x) is an algebraic...

In these two talks, I will describe how the classification of locally homogeneous geometric structures (closely related to flat connections) leads to interesting dynamical systems.

Many interesting dynamical systems arise from the classification of...

Astrometry from Gaia, deep variability surveys and large-area Galactic spectroscopic surveys are enabling novel probes into white dwarf astrophysics, and in particular are allowing us to tackle anew the search for ultra-compact binaries containing...

Abstract 1: Reionization of the intergalactic medium remains one of the most mysterious questions in the research of cosmology. While the first generation of stars (Pop-III) likely ionize the universe at 1-10% level at z>15, the second generation of...