# Davide Home Page

# Hi, I am Davide Masoero

You are welcome to my Homepage

I work as a
FCT Investigator at the mathematical department of Lisbon
university, and I am a member of the Grupo de Fisica
Matematica da Universidade de Lisboa. In 2010, I have obtained the
PhD in Mathematical Physics at SISSA under the supervision of Boris
Dubrovin, and recently I have obtained the (Italian) habilitation to
associate professor in Mathematical Physics. Here are my contacts
.

Of late I have been working on the
ODE/IM correspondence, on Painleve equations and anharmonic
oscillators, and on the semiclassical analysis of models of population
dynamics. My latest findings are:

- ODE/IM. In a collaboration with Andrea Raimondo and Daniele Valeri,
we have built solutions of the Bethe Ansatz equations from the opers
described by Boris Feigin and Edward Frenkel. The results are contained
in two papers published in
**Communications in Mathematical Physics (CMP).**The first paper (arXiv version / PDF version) concerns the case of the Bethe Ansatz for simply-laced Lie algebras which corresponds to opers defined on untwisted affine Kac Moody algebras, the second paper (arXiv version) concerns the Bethe Ansatz for NON-simply-laced (ADE) Lie algebras corresponding to opers defined on twisted affine Kac Moody algebras.

- Painleve equations and anharmonic oscillators. In a recent collaboration with Pieter Roffelsen published on SIGMA, we studied the singularities distribution of rational solutions of the fourth Painleve equation (PIV), by means of the isomonodromic deformation method. We showed that the singularities are described by an inverse monodromy problem for a quantum anharmonic oscillators of degree two, and classified them by means of the monodromy representation of a class of meromorphic functions introduced by Nevanlinna. Finally, we computed the asymptotic distribution of the singularities of rational solutions of Hermite type: roots condensate on a some curves in the complex plane and, for each curve the real part of the roots is distributed in accordance with the Wigner's semicircle law.
- In collaboration wtih Daniele De Martino, we solved a model describing the growth-distribution in colonies of E. Coli from their metabolism. We retrieve two scaling laws relating the mean growth with the standard deviation and the time-response. In particular, we show that suboptimal growth-rates have faster response and therefore colonies with smaller mean growth rate have faster adaptation. Our findings are published in the paper Asymptotic analysis of noisy fitness maximization, applied to metabolism and growth JSTAT 2016 (arXiv version).

For more information here are my Curriculum vitae , PhD Thesis , Google Scholar profile, arXiv page and ORCID profile.

I am the principal investigator of the FCT exploratory project 'A
mathematical framework for the ODE/IM correspondence'. Please contact
me in case you are interested in proposing any acitivity related to the
ODE/IM correspondence and my ongoing work.

With some PhD colleagues, we organized a conference in Lisbon few years ago: Contemporary Ways of Integrability Lisbon, May 16-19, 2012

The
published version of all my papers can be downloaded for free at SCI-HUB. The DOI
addresses of the papers can be found in my CV. If the Sci-Hub server is
down, please look for alternative Sci-Hub servers on-line.