My Curriculum
Davide Masoero's Curriculum Vitae
Personal information Name: Davide Masoero Current position From January 2017, FCT researcher at the Department of Mathematics of Lisbon University. Italian Habilitation to Associate Professor in Mathematical Physics Research Topics My main area of expertise is the analytic theory of ODEs in the complex plain. In particular I work on topics related to Quantum and Classical integrable systems. For example, in a recent collaboration with Andrea Raimondo and Daniele Valeri we proved that the Stokes multipliers of meromorphic connections with value in the Langlands dual of an affine Lie algebra are solutions of the Bethe Ansatz equations for the generalised quantum KdV model (ODE/IM correspondence). I have also been working on singularities distributions of solutions of Painleve equations and use the Nevanlinna theory to understand fine details of the inverse monodromy problem that are often overlooked in the literature, i.e. the surjectivity of the Riemann-Hilbert correspondence, non generic points, etc.... My other research interests are the Dubrovin's Universality Conjecture for PDEs and applications of WKB approximation to biological models. Career January 2012 - December 2016: FCT post doc scholar at the Grupo de Fisica Matematica da Universidade de Lisboa. November-December 2011: Research Associate, School of Mathematics and Statistics, The University of Sydney. November 2010 - October 2011 Post Doc, Grupo de Fisica Matematica, Univerdade de Lisboa. Visiting Positions Simons Center for Geometry and Physics, Stony Brook, Visitor, November 2018 Centro De Giorgi, Scuola Normale di Pisa, Research in Pair, December 2017 School of Mathematics and Statistics of The University of Sydney, Visiting Scholar, November-December 2015 Kyoto, Rims, June 2010 Education October, 2010: PhD in Mathematics at SISSA (Trieste). Thesis: Essays on the Painlevé First Equation and the Cubic Oscillator October, 2006: Laurea Specialistica in Fisica delle Interazioni Fondamentali (Second Level Degree in Fundamental Interactions Physics) at the Universita' di Torino, specialized in theoretical physics, cum laude. September, 2004: Laurea di Primo Livello in Fisica (First Level Degree in Physics) at the Universita' di Torino, cum laude September, 2003 - August, 2004: Erasmus student at the Heidelberg University, Heidelberg, Germany July, 2001: Maturita' Classica at the Liceo Classico "G. Arimondi", Savigliano (Cn) Grants Principal Investigator of the FCT project " Meromorphic connections on algebraic curves and quantum field theory" , budget 222.000 Euro Principal Investigator of the FCT exploratory project " A Mathematical Framework for the ODE/IM correspondence " , budget 50.000 Euro 3+3 Post Doc Scholarship funded by the Fundacao Para a Ciencia e a Tecnolgia, starting January 2012. Services Organizer of the Conference Irregular Singularities and Quantum Field Theory , 8-11 July 2019, Lisbon. Organizer of the seminar series Irregular Singularities and Quantum Field Theory, since 2018, Lisbon. Organizer of the Workshop Contemporary Ways in Integrability , 16-19 May 2012, Lisbon. Member of the Local Organizng Committee of the Conference GDIS 2011 , 10-16 Septmeber 2011, Lisbon. Co-organizer of the seminar series "Asymptotic analysis", SISSA, 2009-2010 Co-organizer of the seminar series "PDEs of Mathematical Physics. A modern Introduction", Lisbon, 2013- Publications Opers for higher states of the quantum Boussinesq model. D Masoero and A. Raimondo. in Asymptotic, Algebraic and Geometric Aspects of Integrable Systems. Springer, Cham, 2020. 55-78..Preprint arXiv:1908.11559 Opers for higher states of quantum KdV models D Masoero and A. Raimondo. Communications in Mathematical Physics 378.1 (2020): 1-74.Preprint arXiv:1812.00228 Poles of Painlevé IV Rationals and their Distribution D Masoero and P. Roffelsen. SIGMA 14 (2018), 002, 49 pages.Preprint arXiv:1707.05222 Asymptotic analysis of noisy fitness maximization, applied to metabolism and growth D De Martino and D Masoero JSTAT (2016), no. 12 .. Preprint arXiv Bethe Ansatz and the Spectral Theory of affine Lie algebra-valued connections II. The non simply-laced case D Masoero, A Raimondo, D Valeri. Communications in Mathematical Physics(2017).Preprint arXiv Bethe Ansatz and the Spectral Theory of affine Lie algebra-valued connections I. The simply-laced case D Masoero, A Raimondo, D Valeri. Communications in Mathematical Physics, 344 (2016), no. 3 . Preprint arXiv Critical behaviour for scalar nonlinear waves D Masoero, A Raimondo, P R S Antunes. Physica D (2015) A deformation of the method of characteristics and the Cauchy problem for Hamiltonian PDEs in the small dispersion limit D Masoero and A Raimondo D Masoero and A Raimondo. International Mathematics Research Notices (2015). Semiclassical approximations of stochastic epidemiological processes towards parameter estimation using as prime example the SIS system with import L. Mateus, P. Ghaffari, U. Skwara, F. Rocha, M.Aguiar , D. Masoero , N. Stollenwerk To appear on Ecological Complexity. Semiclassical Approximations of Stochastic Epidemiological Processes towards Parameter Estimation Nico Stollenwerk, Davide Masoero, Urszula Skwara, Filipe Rocha, Peyman Ghaffari, Maira Aguiar Proceedings of the 12th International Conference on Mathematical Methods in Science and Engineering. Painleve I, Coverings of the Sphere and Belyi Functions D Masoero CONSTRUCTIVE APPROXIMATION (2014) upcoming special issue on Painleve equations. Preprint arXiv:1207.4361 Semiclassical limit for generalized KdV equations before the gradient catastrophe D Masoero and A Raimondo Letters in Mathematical Physics (2013) , Preprint arXiv:1107.0461 Y-System and Deformed Thermodynamic Bethe Ansatz D Masoero Letters in Mathematical Physics, Volume 94, Number 2 (2010), 151-164. DOI: 10.1007/s11005-010-0425-1 . Preprint arXiv:1005.1046 Poles of Integrale Tritronquee and Anharmonic Oscillators. Asymptotic localization from WKB analysis D Masoero 2010 Nonlinearity 23 2501. DOI: http://dx.doi.org/10.1088/0951-7715/23/10/008. Preprint arXiv:1002.1042 Poles of integrale tritronquee and anharmonic oscillators. A WKB approach D Masoero J. Phys. A: Math. Theor. 43 095201. DOI: http://dx.doi.org/10.1088/1751-8113/43/9/095201 . Preprint arXiv:0909.5537 Pseudo-differential equations, and the Bethe ansatz for the classical Lie algebras P Dorey, C Dunning, D Masoero, J Suzuki, R Tateo Nuclear Physics, Section B, 2007. http://dx.doi.org/10.1016/j.nuclphysb.2007.02.029 . arXiv: hep-th/0612298 ABCD and ODEs P Dorey, C Dunning, D Masoero, J Suzuki, R Tateo In "New Trends in Mathematical Physics Selected contributions of the XVth International Congress on Mathematical Physics", Springer, 2009. Preprint arXiv:0704.2109 Preprints Counting monster potentials R Conti and D Masoero.Preprint arXiv:2009.14638 (2020) On the monodromy of the deformed cubic oscillator. T Bridgeland with an Appendix by D Masoero.Preprint arXiv:2006.10648 (2020) Roots of generalised Hermite polynomials when both parameters are large. D Masoero and P. Roffelsen.Preprint arXiv:1907.08552 (2019) A Laplace's method for series and the semiclassical analysis of epidemiological models D Masoero Preprint arXiv:1403.5532 The Direct Monodromy Problem for Painleve - I D Masoero Preprint arXiv:1007.1554 Non-scientific publications Lo sgombero dei "nomadi" non fa onore al sindaco Lettera a "La Fedeltà" Talks The Painlevé first equation, at Department of mathematics of Napoli, 2009. WKB analysis of poles of solutions to the Painlevé first equation, at "Nonlinear Waves and Integrable Systems", Rome, 2009. Painlevé first equation, anharmonic oscillators and coverings of the sphere, at "Winter meeting in Lattice Gauge Theories and Integrable Models", Torino, 2009. Painlevé I, anharmonic oscillators, WKB analysis and Deformed TBA, at "Numerical Solution of Painlevé equations", Edinburgh, 2010. Painlevé I and the Cubic Oscillator, at "Integrable Systems in Pure and Applied Mathematics", Alghero, 2010. Poles of integrale tritronquee and cubic oscillators, RIMS, Kyoto, 2010. Geometry of Monodromy Data and Deformed TBA, Department of Theoretical Physics, Shizuoka, 2010. Geometry of Monodromy Data and Deformed TBA, at "Recent Developments in Resurgence Theory and Related Topics", Kyoto, 2010. Y-system and Deformed TBA, at "Einstein", Trieste, 2010. The (Un)reasonable Effectiveness of the Complex WKB Method, at "Function Theory and Dynamical Systems", UCL, London, 2010. Painlevé I and the Cubic Oscillator, at Universidade de Lisboa, 2010. Some results concerning the semiclassical limit of KdV before the gradient catastrophe, at " Completely Integrable Systems and Applications", Vienna, 2011. Some results concerning the semiclassical limit of KdV before the gradient catastrophe, at "GDIS", Sintra, 2011. Dispersive shock waves in 1+1 dimension, conjectures and preliminary results, at Universidade de Lisboa, 2011. Dispersive shock waves in 1+1 dimension, conjectures and preliminary results, at School of Mathematics, Sydney University, 2011. Dispersive shock waves in 1+1 dimension, conjectures and preliminary results, at "ANZIAM NSW-ACT Meeting", Murramarang Beachfront Nature Resort, New South Wales, Australia, 2011. Monodromy Data of Painleve I and Nevanlinna Theory, at School of Mathematics, Sydney University, 2011. Some results concerning the semiclassical limit of (Generalized) KdV before the gradient catastrophe, at "Dispersive Shocks", SISSA, 2012. Painleve, Nevanlinna and Riemann, at Dipartimento di Fisica Teorica, Torino, 2012. Painleve, Nevanlinna and Riemann, at "Workshop on Geometric and Analytic Aspects of Integrable Systems", Milano Bicocca, 2012. Poles of solutions of Painleve I and Belyi functions, at "Frontiers of Nevanlinna Theory 4: Nevanlinna theory and number theory", University College of London, 2012 Painlevé I, (Branched) Coverings of the Sphere and Belyi Functions, at Centre de recherches mathematiques, Montreal, 2012 A deformation of the method of characteristics and the Cauchy problem for Hamiltonian PDEs in the small dispersion limit, at "Nonlinear Waves and Integrable Systems 2013", SISSA, 2013 What is a Hamiltonian Equation?, Lisbon, 2013 KdV as a Completely Integrable Hamiltonian System, Lisbon, 2013 String Equation and Scalar PDEs in the Semiclassical Regime, at "Hamiltonian PDEs, Frobenius Manifolds and Deligne Mumford Moduli Spaces", SISSA, 2013 Universality for Partial Differential Equations, CFTC, Lisbon, 2013 Universality for Partial Differential Equations, CENTRA, Lisbon, 2013. Link to the recorded seminar Phase Transitions of Nonlinear PDEs and Emerging Integrability, Dip. Matematica, Milano-Bicocca, 2013 Laplace's method for sums and semiclassical population dynamics, at "Fifth Workshop Dynamical Systems Applied to Biology and Natural Sciences s", Lisbon, 2014 Hamilton-Jacobi equation from epidemiological models, at "Workshop on Geometric and Analytic Aspects of Integrable and nearly-Integrable Hamiltonian Systems ", Milano Bicocca, 2014 Universality for Scalar Nonlinear Waves, at "Advances in Mathematical Fluid Mechanics, Stochastic and Deterministic Methods ", Lisbon, 2014 Bethe Ansatz and the Spectral Theory of Affine Lie algebra-valued connections, at Complexo Interdisciplinar, Lisbon, 2015 Bethe Ansatz and the Spectral Theory of Affine Lie algebra-valued connections, at Australian National University, Canberra, 2015 Quantum Anharmonic Oscillators, at The University of Sydney, 2015 Poles of Solutions of Painleve I and II, at The University of Sydney, 2015 Bethe Ansatz and the Spectral Theory of Affine Lie algebra-valued connections, at Integrable Systems 2015, The University of Sydney, 2015 Bethe Ansatz and the Spectral Theory of Affine Lie algebra-valued connections, at Algebra and geometry in integrable systems, The University of Kent, 2015 Bethe Ansatz and Affine Lie algebra-valued connections, at SIDE12 Conference, S. Adele, Quebec, 2016 Algebraic aspects of the ODE/IM correspondence Institute Henri Poincare, Paris, 2016 Affine Opers and Bethe Ansatz,, at 3rd Christmas Workshop in Genova, Genova, 2016 Computing the growth rate distribution from metabolism, in E. Coli,at Physics Department of Turin University, 2016 Rational solutions of Painlevé IV, at Asymptotic and computational aspects of complex differential equations, PISA (2017) Affine Opers with one irregular singularity and the Bethe Ansatz, at Irregular Connections, Character Varieties and Physics Paris VII, 2017 Asymptotic distribution of singularities of solutions to ODEs in the complex plane, at Analysis Seminar, Universidade Nova de Lisboa, 2017 The isomonodromic deformation method for Painleve I and meromorphic functions with 5 transcendental singularities, at Algebraic Geometry Seminar, The University of Sheffield, 2017 Looking for poles of solutions of Painlevé equations, Mathematics colloquium, Lisbon University, 2018 Opers corresponding to Higher States of the g-Quantum KdV model, Simons Center for Geometry and Physics, 2018 Meromorphic opers and the Bethe Ansatz., Mathematical Department of Porto University, 2019 Asymptotic distribution of singularities of solutions to ODEs in the complex plane., Mathematical Department of Aveiro University, 2019 Meromorphic opers and the Bethe Ansatz, String Theory Seminar of Tecnico (Lisbon), 2019 Opers for higher states of quantum KdV models, at Integrability Combinatorics And Representations, Hyeres (France), 2019 On the asymptotic distributions of roots of the generalised Hermite polynomials, Séminaire de physique mathématique et topologie algébrique, Angers, 2019 Counting Monster Potentials, String Theory Seminar of Tecnico (Lisbon), 2020 The Painlevé I equation and the A2 quiver, CMAF Geometry Webinar (Lisbon), 2020 Counting Monster Potentials, Virtual Integrable Systems Seminars (ICMS, Edinburgh), 2020 Seminars at Sissa Type II factors and the Jones' polynomials Central extensions of loop groups Finite-gap solutions of the focusing non-linear Schrödinger equation: construction thereof, reality and regularity conditions Introduction to the Bethe Ansatz for mathematicians: properties of the ground states of the XXZ Heisenberg spin chains Lee-Yang's circle theorem and the phase transitions of the Ising model (after Ruelle) Connection formulas for WKB functions The Cauchy problem with highly oscillating initial data for time-dependent Schrödinger equation The Riemann-Hilbert Problem for the Focusing NLS Last updated : March, 2017 |