Top-level heading

How to make log structures

I discuss how to practically put a log structure on a toroidal crossing space, and hopefully sketch applications to smoothing toric Fano varieties and log birational geometry. This is work in progress...

Quantum information processing via a photonics platform

Abstract: Quantum computers exploit the incredible possibilities of quantum mechanics to significantly enhance computing power, compared with the computers currently available based on a conventional ...

Alcuni contributi intorno alla comprensione algebrica dell’iperbolicità nel senso di Kobayashi

Abstract: Una varietà complessa compatta X è iperbolica nel senso di Kobayashi se e solo se ogni applicazione olomorfa intera dal piano complesso verso X è costante.Trattasi di una proprietà squi...

Hypertoric varieties, W-Hilbert schemes and Coulomb branches

Motivated by physics, in the late 1990s Sen discussed a construction of complete hyperkähler metrics in (real) dimension 4 and so-called ALF (asymptotically locally flat) asymptotics as a "superpositi...

Exponential integrators for mean-field selective optimal control problems

We consider mean-field optimal control problems with selective action of the control, where the constraint is a continuity equation involving a non-local term and diffusion. First order optimality con...

The free energy of the dilute Bose gas

The interacting Bose gas is a system in quantum statistical mechanics where a collective behavior emerges from the underlying many-body theory, posing interesting challenges to its rigorous mathematic...

Dalla fisica alla filosofia naturale: Niels Bohr e la cultura scientifica del XX secolo

Niels Bohr è certamente uno dei grandi protagonisti della fisica del XX secolo. La tradizione ha definito in suo onore quella che sarebbe diventata per molti decenni l’interpretazione canonica della t...

Bulk-edge correspondence for unbounded Dirac-Landau operators

We consider two-dimensional unbounded magnetic Dirac operators, either defined on the whole plane, or with infinite mass boundary conditions on a half-plane. Our main results use techniques from ellip...

On elliptic equations with Stein-Weiss type convolution parts

On elliptic equations with Stein-Weiss type convolution parts...