Dr Giordano Cotti PhD

Dr. Giordano Cotti

School of Mathematics
Postdoctoral research associate

Contact details

Address
University of Birmingham
Edgbaston
Birmingham
B15 2TT
UK

Giordano Cotti is a postdoctoral research associate working under the supervision of Professor Marta Mazzocco. His research interests include the interplay of analytic and algebraic geometry and differential equations arising from mathematical physics.

His work fits into the general research areas of Gromov-Witten and Frobenius manifolds theories, Mirror Symmetry, and the theory of integrable systems. More precisely, his current research focuses ont the theories of isomonodromic deformations and asymptotic aspects of complex differential equations, as well their (conjectural) relationships with the derived geometry of smooth projective varieties.

Giordano is a member of the Geometry and Mathematical Physics Group.

Qualifications

  • Lutman Prize for the best PhD Thesis defended at SISSA, 2019
  • PhD in Geometry and Mathematical Physics, Scuola internazionale Superiore di Studi Avanzati (SISSA), Trieste - Italy, 2017
  • MSc in Mathematics, Università degli Studi di Trieste, Trieste – Italy, 2014
  • Additional Diploma: “Percorso Formativo Comune” in Mathematics, Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste – Italy, 2014
  • BSc in Mathematics, Università degli Studi di Genova, Genova – Italy, 2012

Biography

Giordano Cotti graduated with a BSc in Mathematics, cum laude, from the University of Genova (Italy) in 2012.

Through an Italian national competition, he was selected for an excellence MSc program (with fellowship) in Mathematics hold by the University of Trieste and the Scuola Internazionale Superiore di Studi Avanzati (SISSA) in Trieste (Italy). Such a program is addressed to brilliant students who want to follow a high-level research career.

He graduated in 2014, cum laude, and he earned an additional PFC-SISSA diploma, having fulfilled all the merit requirements.

Subsequently, through an international competition, he obtained a PhD fellowship at SISSA, where he continued the research projects started in his MSc thesis, working under the supervision of Professor Boris Dubrovin and Professor Davide Guzzetti. He obtained his  PhD in Geometry and Mathematical Physics in 2017, cum laude. In 2019, SISSA  also awarded him the Lutman Prize for the best PhD thesis in Mathematics of the Academic Year 2017, in acknowledgment of his original work.

From October 2017 to October 2019, he was posdoct at the Max-Planck Insitut für Mathematik in Bonn (Germany), with mentor Professor Yuri I. Manin.

He is currently a postdoctoral research associate working under the supervision of Professor Marta Mazzocco.

Research

Main Research Areas:

Interactions between the theory of Integrable Systems, Geometry and Mathematical Physics, including:

  • Frobenius manifolds theory
  • Gromov-Witten theory and quantum cohomology
  • Singularity theory
  • Geometry of isomonodromic deformations
  • Mirror Symmetry
  • Triangulated and derived categories, exceptional collections
  • Asymptotic analysis, theory of special functions, and Painlevé transcendents 

Publications

Accepted and Published Papers:

  • Cotti, G. and Dubrovin, B. and Guzzetti, D. (2019), “Isomonodromy Deformations at an Irregular Singularity with Coalescing Eigenvalues”, Duke Math. Journal, Vol. 168, no. 6, 967-1108, https://projecteuclid.org/euclid.dmj/1552442775

Submitted Preprints:

  • Cotti, G. (2019) “Quantum differential equations and helices”.
  • Cotti, G. and Varchenko, A. (2019), “Equivariant quantum differential equation and QKZ equations for a projective space: Stokes base as exceptional collections, Stokes matrice sas Gram matrices, and Б-Theorem”, arXiv:1909.06582
  • Cotti, G. and Dubrovin, B. and Guzzetti, D. (2018), “Helix Structures in Quantum Cohomology of Fano Varieties”,
    arXiv:1811.09235
  • Cotti, G. and Dubrovin, B. and Guzzetti, D. (2017), “Local moduli of semisimple Frobenius coalescent structures”, arXiv:1712.08575
  • Cotti, G. (2016), “Coalescence Phenomenon of Quantum Cohomology of Grassmannians and the Distribution of Prime Numbers”, arXiv:1608.06868