The physical mechanism behind the acceleration of the universe
remains one of the great mysteries of modern cosmology. Given the
proliferation of dark energy models on the market, an obvious
question is: How can we rule out whole classes of dark...
Computing the volume of a convex body in n-dimensional space is an
ancient, basic and difficult problem (#P-hard for explicit
polytopes and exponential lower bounds for deterministic algorithms
in the oracle model). We present a new algorithm, whose...
What are the possible Hodge numbers of a smooth complex projective
variety? We construct enough varieties to show that many of the
Hodge numbers can take all possible values satisfying the
constraints given by Hodge theory. For example, there are...
Infrared observations from Spitzer Space Telescope and Herschel
Space Observatory are used to study the interstellar dust in M31. A
physical dust model is used to map the dust surface density,
dust/gas ratio, starlight heating intensity, and the...
I will explain how infinite sequences of flops give rise to some
interesting phenomena: first, an infinite set of smooth projective
varieties that have equivalent derived categories but are not
isomorphic; second, a pseudoeffective divisor for which...
