Team
Davide Guzzetti
team member
Davide Guzzetti graduated in Physics in 1995 from the State University of Milan and obtained a Ph.D. in mathematical physics in October 2000 from SISSA (Trieste, Italy).
Successively, he worked as a researcher in RIMS, Kyoto University, till 2008. In 2010 he was an assistant professor in KIAS, Seoul.
Since 2011, he has held a permanent position in SISSA, first as assistant professor, and then as associate professor.
He has been working on Painleve’ equations, isomonodromy deformations, Frobenius manifolds and integrable systems.
Selected publications
- G. Cotti, D. Guzzetti, D. Masoero: Asymptotic solutions for linear ODEs with not-necessarily meromorphic coefficients: a Levinson type theorem on complex domains, and applications. arXiv:2310.19739. (2023)
- G. Cotti, B. Dubrovin, D. Guzzetti: Helix Structures in Quantum Cohomology of Fano Varieties. arXiv:1811.09235 (2018). 149 pages. Accepted in Springer Lecture Notes in Mathematics (2024 expected)
- G. Degano, D. Guzzetti: The sixth Painlev ìe equation as isomonodromy deformation of an irregular system: monodromy data, coalescing eigenvalues, locally holomorphic transcendents and Frobenius manifolds. Nonlinearity 36 (2023), no. 8, 4110-4168.
- D. Guzzetti: Isomonodromic deformations along a stratum of the coalescence locus. J. Phys. A 55 (2022), no. 45, Paper No. 455202, 52 pp.
- D. Guzzetti: Isomonodromic Laplace transform with coalescing eigenvalues and confluence of Fuchsian singularities. Lett. Math. Phys. 111 (2021), no. 3, Paper No. 80, 70 pp.
- G. Cotti , B. Dubrovin , D. Guzzetti: Local moduli of semisimple Frobenius coalescent structures. SIGMA Symmetry Integrability Geom. Methods Appl. 16 (2020), Paper No. 040, 105 pp.
- D. Guzzetti: Isomonodromy deformations with coalescing eigenvalues and applications, in Com- plex Differential and Difference Equations, De Gruyter Proceedings in Mathematics (2020). ISBN 978-3-11-060952-3
- G. Cotti, B. Dubrovin, D. Guzzetti: Isomonodromy deformations at an irregular singularity with coalescing eigenvalues. Duke Math. J. 168 (2019), no. 6, 967–1108.
- D. Guzzetti: Notes on non-generic isomonodromy deformations. SIGMA Symmetry Integrability Geom. Methods Appl. 14 (2018), Paper No. 087, 34 pp.
- G. Cotti, D. Guzzetti: Results on the extension of isomonodromy deformations to the case of a resonant irregular singularity. Random Matrices Theory Appl. 7 (2018), no. 4, 1840003, 27 pp.