(joint work with Martin Kalck) Periods are complex numbers
obtained by integrating algebraic differential forms over
$\mathbf{Q}$ over a domain of algebraic nature. This includes
numbers like $\pi$, $\log(2)$ or the values of the Riemann
zeta...
Report on a paper written during the pandemic joint with Minseon
Shin and Max Lieblich. Some key words: Brauer groups, nontorsion
elements of $\mathrm{H}^2(X, \mathbf{G}_m)$, resolution property,
Jouanolou devices, and derived categories. I will try...
The entropy of supersymmetric black holes in string theory
compactifications can be related to that of a D- or M-brane system,
which in many cases can be further reduced to a two-dimensional
conformal field theory (CFT). For black holes in M-theory...
"Saturons" are macroscopic objects that exhibit maximal
micristate degeneracy within the validity of a given quantum
field theoretic description. Due to this feature, saturons
and black holes belong to the same universality class with common
key...
Let SO(3,R) be the 3D-rotation group equipped with the
real-manifold topology and the normalized Haar measure \mu.
Confirming a conjecture by Breuillard and Green, we show that if A
is an open subset of SO(3,R) with sufficiently small measure,
then...
This is an exciting time for stellar astrophysics as
high-cadence time domain surveys (Gaia, PTF, ZTF, ATLAS, Kepler,
TESS, and, in the near future, the Vera Rubin Observatory) are
revolutionizing the landscape of stellar studies by allowing
the...
Some aspects of the black hole spectrum, coming from spacetime
wormhole contributions, can be modeled by a random matrix ensemble.
It is important to understand the appropriate ensemble for theories
with extended supersymmetry, since for example...
The Toda lattice is one of the earliest examples of non-linear
completely integrable systems. Under a large deformation, the
Hamiltonian flow can be seen to converge to a billiard flow in a
simplex. In the 1970s, action-angle coordinates were...