If we want to follow a scientific approach to respond to the doubts and challenges that were generated, we need to find a balance between the most robust data, the best experimental methodologies to address the new problems and all the uncertainty associated.

In this presentation we will try to address this balance between best available data, clinical research methodology and uncertainty applied to what we know about pandemics, vaccine development and clinical trials. There will be a particular focus on the COVID-19 pandemic data and current research efforts for the development of vaccines and efficacious treatments.

]]>Joint work with Hankyung Ko and Xiaoting Zhang.

]]>- the $XY$ model (spins on $\mathbb{Z}^2$ with values in the unit circle)
- the integer-valued Gaussian Free Field (or $\mathbb{Z}$-ferromagnet)
- Abelian Yang-Mills on $\mathbb{Z}^4$

I will then connect topological phase transitions to a** statistical reconstruction problem** concerning the Gaussian Free Field and will show that the feasibility of the reconstruction undergoes a KT transition.

This is a joint work with Avelio Sepúlveda (Lyon) and the talk will be based mostly on the preprint: https://arxiv.org/abs/2002.12284

]]>This is joint work with Geoffroy Horel.

]]>Joint work with G. L. Page and with B. J. Barney.

]]>In this talk we survey the symplectic geometric approach to knot framing via Lagrangian submanifold theory and geometric quantization developed in Besana&S. (2006) and extend it, taking inspiration from Liu&Ricca (2012,2015), to achieve a geometric interpretation of the HOMFLYPT polynomial based on helicity only.

Besana A. and Spera M., On some symplectic aspects of knots framings,

J. Knot Theory Ram. 15 (2006), 883-912.

Liu X. and Ricca R.L., The Jones polynomial for fluid knots from helicity,

J. Phys A: Math. Theor. 45 (2012), 205501 (14pp).

Liu X. and Ricca R.L., On the derivation of the HOMFLYPT polynomial invariant for fluid knots,

J. Fluid Mechanics 773 (2015), 34-48.

This is a joint work with Weimin Chen and Weiwei Wu (and partly with Jun Li).

]]>