Giordano Cotti (F610-E378-2B6E)

Curriculum Vitae

Giordano Cotti

Giordano Cotti obtained his Ph.D. in Geometry and Mathematical Physics at the Scuola Internazionale Superiore di Studi Avanzati (SISSA) in Trieste (Italy) on the 19th of September 2017. He works in the area(s) of Exact Sciences with emphasis on Pure Mathematics (Geometry and Mathematical Physics). He currently is FCT Researcher of the Grupo de Física Matemática da Universidade de Lisboa (recently moved from Faculdade de Ciências da Universidade de Lisboa to Instituto Superior Técnico). Before that he was a Postdoctoral fellow at Max-Planck-Institut fu¨r Mathematik in Bonn (Germany), a Postdoctoral Research Associate at the School of Mathematics of the University of Birmingham (UK), being a member of an EPSRC project, and a Visiting Researcher at Hausdorff Institute for Mathematics Bonn (Germany). He is author and coauthor of 15 papers, of which 13 have already been published (top journals: Duke Math. Journal, Int. Math. Res. Not., Journal de Math. Pures et Appl., Moscow Math. Journal, Journal London Math.Soc., Letters in Mathematical Physics, Springer Lecture Notes in Math.). He recently won a research individual grant (2021.01521.CEECIND) for a 6 years FCT Researcher position (Junior level), by ranking 1st for Mathematics (2nd for Mathematics and Computer Science). He also recently won an exploratory project grant (2022.03702.PTDC) of which he is PI. He delivered 38 seminars and lectures at international workshops and conferences. He organized 5 events: one in Trieste (Italy), one in Bonn (Germany), one in Recife (Brazil), and two in Lisboa (Portugal). He taught 4 courses: an undergraduate course in Trieste (exercises in Linear Algebra for Engineers), two short Ph.D. courses in Lisbon, and a master students course in geometry at the Faculdade de Cie^ncias da Universidade de Lisboa. He supervised an MSc Thesis in Birmingham, and he is supervising an MSc Thesis in Lisboa. Post-doctoral mentoring activity: 3 post-docs. In 2018 he was awarded the Lutman Prize for Mathematics by SISSA.

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Identification

Personal identification

Full name: Giordano Cotti
Date of birth: 1990/12/26

Citation names

Cotti, Giordano

Author identifiers

Ciência ID: F610-E378-2B6E
ORCID iD: 0000-0002-9171-2569

Email addresses

gcotti@fc.ul.pt (Professional)
gcotti@fc.ul.pt (Professional)
giordano.cotti@gmail.com (Personal)

Addresses

Campo Grande Edifício C6, 1749-016, Lisboa, Lisboa, Portugal (Professional)

Websites

https://giordanocotti.wordpress.com (Personal)

Knowledge fields

Exact Sciences - Mathematics - Pure Mathematics

Languages

Language	Speaking	Reading	Writing	Listening	Peer-review
Italian (Mother tongue)
English	Advanced (C1)	Advanced (C1)	Advanced (C1)	Advanced (C1)	Advanced (C1)
French	Advanced (C1)	Advanced (C1)	Advanced (C1)	Advanced (C1)	Advanced (C1)
Portuguese	Intermediate (B1)	Upper intermediate (B2)	Intermediate (B1)	Upper intermediate (B2)	Intermediate (B1)

Education

	Degree	Classification
2014/10/01 - 2017/09/19 Concluded	Geometry and Mathematical Physics (Doctor of Philosophy) Scuola Internazionale Superiore di Studi Avanzati, Italy "Geometry and Analytic Theory of Semisimple Coalescent Frobenius Structures - An Isomonodromic approach to Quantum Cohomology and Helix Structures in Derived Categories" (THESIS/DISSERTATION)	110/110 cum laude
2012/10/01 - 2014/07/16 Concluded	Matemathics (Laurea Magistrale) Università degli Studi di Trieste, Italy Scuola Internazionale Superiore di Studi Avanzati, Italy "Isomonodromic Approach to Quantum Cohomology of Grassmannians - An analytical asymptotic point of view on Dubrovin's and Gamma-conjectures" (THESIS/DISSERTATION)	110/110 cum laude
2009/10/01 - 2012/07/18 Concluded	Matematica (Bachelor) Università degli Studi di Genova, Italy "Il quinto problema di Hilbert" (THESIS/DISSERTATION)	110/110 cum laude

Affiliation

Science

	Category Host institution	Employer
2020/11/01 - Current	Researcher (Research)	Universidade de Lisboa Faculdade de Ciências, Portugal
	Universidade de Lisboa Grupo de Física Matemática, Portugal
2020/09 - 2020/12	Visiting Researcher (Research)	Rheinische Friedrich-Wilhelms-Universität Bonn Hausdorff Center for Mathematics, Germany
	Rheinische Friedrich-Wilhelms-Universität Bonn Hausdorff Center for Mathematics, Germany
2019/11/01 - 2020/10/31	Postdoc (Research)	University of Birmingham School of Mathematics, United Kingdom
	University of Birmingham School of Mathematics, United Kingdom
2017/10/01 - 2019/10/31	Postdoc (Research)	Max-Planck-Institut für Mathematik, Germany
	Max-Planck-Institut für Mathematik, Germany

Projects

Grant

	Designation	Funders
2023/03/01 - Current	GEometry of Non-generic Isomonodromic DEformations (GENIDE) 2022.03702.PTDC Principal investigator	Ongoing
2020/11/01 - Current	Irregular connections on algebraic curves and Quantum Field Theory PTDC/MAT-PUR/ 30234/2017 Researcher Universidade de Lisboa Faculdade de Ciências, Portugal	Fundação para a Ciência e a Tecnologia Ongoing
2019/11/01 - 2020/10/31	Cluster algebras, Teichmüller theory and Macdonald polynomials EP/P021913/2 Post-doc University of Birmingham School of Mathematics, United Kingdom	Engineering and Physical Sciences Research Council Concluded

Outputs

Publications

Book	Cotti, Giordano; Dubrovin, Boris; Guzzetti, Davide. Helix Structures in Quantum Cohomology of Fano Varieties. Springer - Lecture Notes in Mathematics. 2024. Accepted
Book chapter	Cotti, Giordano. "Quantum Differential Equations and Helices". In Geometric Methods in Physics XXXVIII, 41-65. Springer International Publishing, 2020. 10.1007/978-3-030-53305-2_3
Journal article	Cotti, Giordano. "Borel ( a,b )-multitransforms and quantum Leray-Hirsch: Integral representations of solutions of quantum differential equations for P^1-bundles". Journal de Mathématiques Pures et Appliquées 183 (2024): 102-136. http://dx.doi.org/10.1016/j.matpur.2024.01.003. 10.1016/j.matpur.2024.01.003 Giordano Cotti. "Riemann–Hilbert–Birkhoff inverse problem for semisimple flat F$F$-manifolds and convergence of oriented associativity potentials". Journal of the London Mathematical Society (2024): https://doi.org/10.1112/jlms.12860. 10.1112/jlms.12860 Cotti, Giordano. "Cyclic stratum of Frobenius manifolds, Borel-Laplace $(a,b)$-multitransforms, and integral representations of solutions of Quantum Differential Equations.". Memoirs of the European Mathematical Society 2 (2022): https://ems.press/books/mems/241. Open access • 10.4171/MEMS/2 Giordano Cotti. "Degenerate Riemann–Hilbert–Birkhoff problems, semisimplicity, and convergence of WDVV-potentials". Letters in Mathematical Physics 111 4 (2021): https://doi.org/10.1007/s11005-021-01427-9. 10.1007/s11005-021-01427-9 Cotti, Giordano; Varchenko, Alexander. "The $$-Markov equation for Laurent polynomials". Moscow Mathematical Journal* (2021): https://arxiv.org/abs/2006.11753. In press Cotti, Giordano; Varchenko, Alexander. "Equivariant quantum differential equation and qKZ equations for a projective space: Stokes bases as exceptional collections, Stokes matrices as Gram matrices, and B-Theorem". Proceedings of Symposia in Pure Mathematics - Volume "Integrability, Quantization, and Geometry" (Eds.: I. Krichever, S. Novikov, O. Ogievetsky and S. Shlosman) (2021): https://arxiv.org/abs/1909.06582. In press Cotti, Giordano. "Coalescence Phenomenon of Quantum Cohomology of Grassmannians and the Distribution of Prime Numbers". International Mathematics Research Notices 2022 2 (2020): 1454-1493. http://dx.doi.org/10.1093/imrn/rnaa163. 10.1093/imrn/rnaa163 Cotti, Giordano; Dubrovin, Boris; Guzzetti, Davide. "Local moduli of semisimple frobenius coalescent structures". Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 16 (2020): http://www.scopus.com/inward/record.url?eid=2-s2.0-85084845991&partnerID=MN8TOARS. 10.3842/SIGMA.2020.040 Cotti, Giordano; Dubrovin, Boris; Guzzetti, Davide. "Isomonodromy deformations at an irregular singularity with coalescing eigenvalues". Duke Mathematical Journal 168 6 (2019): 967-1108. http://dx.doi.org/10.1215/00127094-2018-0059. 10.1215/00127094-2018-0059 Cotti, Giordano; Guzzetti, Davide. "Results on the extension of isomonodromy deformations to the case of a resonant irregular singularity". Random Matrices: Theory and Applications 07 04 (2018): 1840003. http://dx.doi.org/10.1142/s2010326318400038. 10.1142/s2010326318400038 Cotti, Giordano; Guzzetti, Davide. "Analytic geometry of semisimple coalescent Frobenius structures". Random Matrices: Theory and Applications 06 04 (2017): 1740004-1740004. https://doi.org/10.1142/S2010326317400044. 10.1142/S2010326317400044

Other

Other output

Asymptotic solutions for linear ODEs with not-necessarily meromorphic coefficients: a Levinson type theorem on complex domains, and applications. 2023. Cotti, Giordano; Masoero, Davide; Guzzetti, Davide.
On the universality of integrable deformations of solutions of degenerate Riemann-Hilbert-Birkhoff problems. Preprint submitted to a journal.. 2021. Cotti, Giordano. https://arxiv.org/abs/2112.14577.

Activities

Oral presentation

	Presentation title	Event name Host (Event location)
2024/01	Gromov-Witten theory, integral transforms, and special functions	Geometry in Lisboa Instituto Superior Te´cnico (Lisboa, Portugal)
2023/11	Enumerative geometry, quantum differential equations, and derived categories	Colóquio de Matemática Faculdade de Ciências da Universidade de Lisboa (Lisboa, Portugal)
2023/09	Riemann-Hilbert problems: an introduction, and applications I delivered two lectures, in the occasion of the Summer School.	Summer School - TRIeste: Topological Recursion and Integrability Università di Trieste (Trieste, Italy)
2023/07	Gromov-Witten theory, integral transforms, and special functions	Mirror Symmetry and differential equations Galatasaray University (Istanbul, Turkey)
2022/12	Gromov-Witten theory, integral transforms, and special functions	5th X-mas workshop Università di Genova, SISSA (Genova, Italy)
2022/11	How to integrate quantum differential equations of varieties?	Seminario di Fisica Matematica Università del Salento (Lecce, Italy)
2022/10	How to integrate quantum differential equations of varieties?	Online event “Shapes of thought: geometry, mathematical physics, and philosophy – A conference in honor of Claudio Bartocci’s 60th birthday ” Università di Genova, SISSA, UFF
2022/09	Quantum differential equations, Isomonodromic deformations, Derived categories	Seminar in Algebraic Geometry Università di Padova (Padova, Italy)
2022/07	Borel–Lapace multitransform, and integral representations of solutions of qDE’s	Integrable systems, Frobenius manifolds and related topics Institut Mathématique de Bourgogne (Dijon, France)
2022/06	Borel–Lapace multitransform, and integral representations of solutions of qDE’s	“Algebraic Analysis and Geometry” Seminar Università di Padova (Padova, Italy)
2022/05	Borel–Lapace multitransform, and integral representations of solutions of qDE’s	Excursions in Integrability (Trieste, Italy)
2022/04	I was invited as a plenary speaker, and I was asked to deliver two lectures. Due to COVID-19 pandemic, the conference has been postponed on 2022/04.	D-Modules: Applications to Algebraic Geometry, Arithmetic and Mirror Symmetry Centre Internationale de Rencontres Mathématiques (CIRM) (Luminy, France)
2022/04	Quantum cohomology, isomonodromic deformations, and derived categories	Web-seminar on Painleve´ Equations and related topics Univ. Rennes and Univ. Koebe (France)
2021/10	I delivered a talk with title "Borel-Laplace multi-transform, and integral representations of solutions of quantum differential equations"	Algebraic Geometry Semi- nar Tata Institute of Fundamental Research (Mumbai, India)
2021/04	I was invited as a plenary speaker. I delivered a talk with title "Quantum differential equations, isomonodromic deformations, and derived categories"	Web conference on Frobenius Manifolds Sultan Qaboos University (Oman), Tokyo University (Japan)
2021/04	I delivered a talk with title "Quantum differential equations, qKZ difference equations, and helices"	Seminars in Topological Quantum Field Theory Instituto Superior Técnico (Lisboa, Portugal)
2021/03	Seminar (in French) with title "Équations différentielles quantiques, déformations isomonodromiques et catégories dérivées"	Seminaire de Géométrie et Physique Mathématique LABORATOIRE ANGEVIN DE RECHERCHE EN MATHÉMATIQUES (Angers, France)
2021/02	Seminar with title "Quantum differential equations, isomonodromic deformations, and derived categories"	Seminaire de Géométrie et Physique Mathématique Institut de Mathématiques de Bourgogne (Dijon, France)
2020/12	Seminar "Quantum differential equations, isomonodromic deformations, and derived categories"	CMAF-CIO Geometry Webinar Universidade de Lisboa Faculdade de Ciências (Lisboa, Portugal)
2020/11	Seminar "Borel-Laplace multi-transform, and integral representations of solutions of qDEs"	Seminar in Geometry and Mathematical Physics University of Hefei (Hefei, China)
2020/10	Seminar "Borel-Laplace multi-transform, and integral representations of solutions of quantum differential equations"	Algebraic Geometry Seminar Universidad Nacional de Colombia (Bogotá (D.C.), Colombia)
2020/10	Seminar "Quantum differential equations, isomonodromic deformations, and derived categories"	Mathematical Physics seminar Scuola Internazionale Superiore di Studi Avanzati (Trieste, Italy)
2020/09	Seminar "Borel-Laplace multi-transform, and integral representations of solutions of quantum differential equations"	Manin Seminar in Algebra, Geometry and Physics Max-Planck-Institut für Mathematik (Bonn, Germany)
2020/06	Seminar "Quantum differential equations and helices"	Oberseminar Representation Theory Universität Bonn (Bonn, Germany)
2020/05	Seminar "Quantum differential equations and helices"	Geometry seminar University of Sheffield (Sheffield, United Kingdom)
2020/02	I was invited as a plenary speaker. Talk with title "Quantum differential equations and helices"	Monodromy and Hypergeometric Functions Galatasary University (Istanbul , Turkey)
2019/06	I was invited as a plenary speaker. I delivered a talk with title "Algebraic geometric aspects of Isomonodromic Deformations: Helix structures in Quantum Cohomology of Fano Varieties"	XXXVIII Workshop on Geometric Methods in Physics Uniwersytet w Bialymstoku (Bialowieza, Poland)
2019/01	Seminar "Helix structures, quantum cohomology, (a,ß)-Laplace multi- transform"	seminars on Geometry and Mathe- matical Physics University of Birmingham School of Mathematics (Birmingham, United Kingdom)
2018/12	I delivered a talk with title "Helix structures, quantum cohomology, (a, ß)-Laplace multi-transform"	4-th Genoa X-mas Workshop Università degli Studi di Genova (Italy)
2018/06	I was invited as a plenary speaker. I delivered a talk with title "Algebraic geometric aspects of Isomonodromic Deformations: Helix structures in Quantum Cohomology of Fano Varieties"	Formal and Analytic Solutions of Partial Differential Equations Università degli Studi di Padova (Italy)
2018/06	I was invited as a plenary speaker to an event organized by the Royal Society (UK). I delivered the talk with title "Helix structures in quantum cohomology of Grassmannians"	Quantum integrability and quantum Schubert calculus Kavli Royal Society International Center (United Kingdom)
2018/04	Seminar "Monodromy local moduli of semisimple coalescent Frobenius structures"	Oberseminar zur Algebra und Zahlentheorie Universität Augsbrug (Augsburg, Germany)
2018/03	I was invited as a plenary speaker. I delivered a talk with title "Monodromy local moduli of semisimple coalescent Frobenius structures"	Geometry and Integrable Systems University of Glasgow (Glasgow, United Kingdom)
2017/12	Seminar "Monodromy local moduli for Frobenius coalescent structures"	Manin Seminar on Algebra, Geometry and Physics Max-Planck-Institut für Mathematik (Bonn, Germany)
2017/11	Oberseminar	Max-Planck-Institut Oberseminar Max Planck Institut für Mathematik (Bonn, Germany)
2017/06	I delivered a talk with title "Almost periodicity of Stokes matrices of Quantum Cohomology of Grassmannians"	Geometry of Integrable Systems Scuola Internazionale Superiore di Studi Avanzati (Trieste, Italy)
2017/02	I was invited as a plenary speaker. I delivered a lecture with title "Monodromy local moduli for semisimple Frobenius coalescent structures -- Gamma conjectures and Quantum Cohomology, Algebraic and Analytic aspects"	Asymptotic and computational aspects of complex differential equations Scuola Normale Superiore - Centro di Ricerca Matematica Ennio de Giorgi (Pisa, Italy)
2016/12	I was invited as a plenary speaker. I delivered a talk with title "Monodromy local moduli for Frobenius coalescent structures and Dubrovin¿s conjecture"	3-rd Genoa X-mas Workshop Università degli Studi di Genova (Italy)

Event organisation

	Event name Type of event (Role)	Institution / Organization
2023/06 - Current	Organizer of the conference "An ODE to geometry", in the context of the project GENIDE (2022.03702.PTDC) (2024/09/16 - 2024/09/21) Conference	Universidade de Lisboa Grupo de Física Matemática, Portugal
2023/05 - Current	Organizer of the "LUSO-BRAZILIAN MEETING IN THEORETICAL AND MATHEMATICAL PHYSICS" (https://sites.google.com/view/lbtmp24) (2024/02/26 - 2024/03/01) Conference (Member of the Organising Committee)	Universidade de Lisboa Grupo de Física Matemática, Portugal Universidade de Pernambuco, Brazil
2023/05 - Current	Local organizer of the COST Action Training School "Contemporary trends in integrable systems", for the project CaLISTA (Ca21209) (2024/07/01 - 2024/07/05) Conference (Member of the Organising Committee)	Università degli Studi di Bologna, Italy Universidade de Lisboa Grupo de Física Matemática, Portugal Scuola Internazionale Superiore di Studi Avanzati, Italy
2020/11/01 - 2020/11/15	Mini-workshop ''Derived categories and quantum cohomology of partial flag varieties'', organizers: P. Belmans, G. Cotti, A. Fonarev, C. Pech, M. Smirnov. Mini-Workshop in the context of the “Hausdorff Junior Trimester Program : New trends in Representation Theory” (2020/11/01 - 2020/11/15) Meeting (Co-organisor)	Rheinische Friedrich-Wilhelms-Universität Bonn Hausdorff Center for Mathematics, Germany
2016/01/07 - 2016/01/21	Local organizer of the Workshop ''Geometric and Analytic Theory of Hamiltonian Systems in Finite and Infinite Dimensions'' - PRIN 2016 (Italian National Coordinator: Prof. Dubrovin) (2016/01/18 - 2016/01/21) Congress (Co-organisor)	Scuola Internazionale Superiore di Studi Avanzati, Italy

Committee member

	Activity description Role	Institution / Organization
2015/10/01 - 2017/09/30	Support activity for the digital space management for the Area of Mathematics: My task included the assignment of offices to all the students of Mathematics, to all the visitors for both long/short terms, and the management of the online database of all spaces owned by the Mathematics Area. Member	Scuola Internazionale Superiore di Studi Avanzati, Italy
2015/10/01 - 2017/09/30	Member of the Council Area of Mathematics: Students’ representative for the PhD program in Geometry and Mathematical Physics. Such a position also includes active participation to the monthly reunion of the Council of the SISSA Area of Mathematics. Member	Scuola Internazionale Superiore di Studi Avanzati, Italy

Consulting

	Activity description	Institution / Organization
2019/01 - Current	I was asked to referee several papers for 4 journals (Nonlinearity, Letters in Mathematical Physics, SIGMA, Journal of Mathematical Analysis and Applications)

Course / Discipline taught

	Academic session	Degree Subject (Type)	Institution / Organization
2024/02 - Current	Spring semester	Advanced Topics in Geometry (Mestrado)	Universidade de Lisboa, Portugal
2022/01 - 2022/01	Fall semester	Short course: "Moduli spaces of curves: algebraic and analytic aspects"	Universidade de Lisboa Faculdade de Ciências, Portugal
2021/02 - 2021/02	Fall Semester	Short course "Frobenius manifolds, irregular singularities, and isomonodromic deformations" (Doutoramento)	Universidade de Lisboa Faculdade de Ciências, Portugal
2015/10/01 - 2016/01/31	Fall semester	Geometry and Linear Algebra - Exercise sessions (Laurea)	Università degli Studi di Trieste Dipartimento di Ingegneria e Architettura, Italy

Mentoring / Tutoring

	Topic	Student name
2024/02 - Current	Post-Doc supervision	Jonathan Gabriel Bradley-Thrush
2024/02 - Current	Post-Doc supervision	José Julián Barragán Amado
2023/09 - Current	Master thesis student in Mathematics at FCUL	Tomás de Oliveira Santos Inácio
2022/11 - 2023/09	Post-Doc supervision	Xavier Blot
2019/11/01 - 2020/04/01	Msc Thesis Co-advisor	Vlad Roman

Distinctions

Award

2018	Lutman Prize Scuola Internazionale Superiore di Studi Avanzati, Italy

Other distinction

2021	FCT Individual Grant CEECIND (Junior researcher) -- 1st ranked for Mathematics (2nd ranked for Mathematics and Computer Sciences)