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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Identificação

Identificação pessoal

Nome completo: Giordano Cotti
Data de nascimento: 1990/12/26

Nomes de citação

Cotti, Giordano

Identificadores de autor

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

Endereços de correio eletrónico

gcotti@fc.ul.pt (Profissional)
gcotti@fc.ul.pt (Profissional)
giordano.cotti@gmail.com (Pessoal)

Moradas

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

Websites

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

Domínios de atuação

Ciências Exatas - Matemática - Matemática Pura

Idiomas

Idioma	Conversação	Leitura	Escrita	Compreensão	Peer-review
Italiano (Idioma materno)
Inglês	Utilizador proficiente (C1)	Utilizador proficiente (C1)	Utilizador proficiente (C1)	Utilizador proficiente (C1)	Utilizador proficiente (C1)
Francês	Utilizador proficiente (C1)	Utilizador proficiente (C1)	Utilizador proficiente (C1)	Utilizador proficiente (C1)	Utilizador proficiente (C1)
Português	Utilizador independente (B1)	Utilizador independente (B2)	Utilizador independente (B1)	Utilizador independente (B2)	Utilizador independente (B1)

Formação

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

Percurso profissional

Ciência

	Categoria Profissional Instituição de acolhimento	Empregador
2020/11/01 - Atual	Investigador (Investigação)	Universidade de Lisboa Faculdade de Ciências, Portugal
	Universidade de Lisboa Grupo de Física Matemática, Portugal
2020/09 - 2020/12	Investigador visitante (Investigação)	Rheinische Friedrich-Wilhelms-Universität Bonn Hausdorff Center for Mathematics, Alemanha
	Rheinische Friedrich-Wilhelms-Universität Bonn Hausdorff Center for Mathematics, Alemanha
2019/11/01 - 2020/10/31	Pós-doutorado (Investigação)	University of Birmingham School of Mathematics, Reino Unido
	University of Birmingham School of Mathematics, Reino Unido
2017/10/01 - 2019/10/31	Pós-doutorado (Investigação)	Max-Planck-Institut für Mathematik, Alemanha
	Max-Planck-Institut für Mathematik, Alemanha

Projetos

Bolsa

	Designação	Financiadores
2023/03/01 - Atual	GEometry of Non-generic Isomonodromic DEformations (GENIDE) 2022.03702.PTDC Investigador responsável	Em curso
2020/11/01 - Atual	Irregular connections on algebraic curves and Quantum Field Theory PTDC/MAT-PUR/ 30234/2017 Investigador Universidade de Lisboa Faculdade de Ciências, Portugal	Fundação para a Ciência e a Tecnologia Em curso
2019/11/01 - 2020/10/31	Cluster algebras, Teichmüller theory and Macdonald polynomials EP/P021913/2 Investigador Pós-doutorado University of Birmingham School of Mathematics, Reino Unido	Engineering and Physical Sciences Research Council Concluído

Produções

Publicações

Artigo em revista	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. Acesso aberto • 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. No prelo 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. No prelo 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
Capítulo de livro	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
Livro	Cotti, Giordano; Dubrovin, Boris; Guzzetti, Davide. Helix Structures in Quantum Cohomology of Fano Varieties. Springer - Lecture Notes in Mathematics. 2024. Aceite para publicação

Outros

Outra produção

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.

Atividades

Apresentação oral de trabalho

	Título da apresentação	Nome do evento Anfitrião (Local do evento)
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, Itália)
2023/07	Gromov-Witten theory, integral transforms, and special functions	Mirror Symmetry and differential equations Galatasaray University (Istanbul, Turquia)
2022/12	Gromov-Witten theory, integral transforms, and special functions	5th X-mas workshop Università di Genova, SISSA (Genova, Itália)
2022/11	How to integrate quantum differential equations of varieties?	Seminario di Fisica Matematica Università del Salento (Lecce, Itália)
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, Itália)
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, França)
2022/06	Borel–Lapace multitransform, and integral representations of solutions of qDE’s	“Algebraic Analysis and Geometry” Seminar Università di Padova (Padova, Itália)
2022/05	Borel–Lapace multitransform, and integral representations of solutions of qDE’s	Excursions in Integrability (Trieste, Itália)
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, França)
2022/04	Quantum cohomology, isomonodromic deformations, and derived categories	Web-seminar on Painleve´ Equations and related topics Univ. Rennes and Univ. Koebe (França)
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, Índia)
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, França)
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, França)
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.), Colômbia)
2020/10	Seminar "Quantum differential equations, isomonodromic deformations, and derived categories"	Mathematical Physics seminar Scuola Internazionale Superiore di Studi Avanzati (Trieste, Itália)
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, Alemanha)
2020/06	Seminar "Quantum differential equations and helices"	Oberseminar Representation Theory Universität Bonn (Bonn, Alemanha)
2020/05	Seminar "Quantum differential equations and helices"	Geometry seminar University of Sheffield (Sheffield, Reino Unido)
2020/02	I was invited as a plenary speaker. Talk with title "Quantum differential equations and helices"	Monodromy and Hypergeometric Functions Galatasary University (Istanbul , Turquia)
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, Polónia)
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, Reino Unido)
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 (Itália)
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 (Itália)
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 (Reino Unido)
2018/04	Seminar "Monodromy local moduli of semisimple coalescent Frobenius structures"	Oberseminar zur Algebra und Zahlentheorie Universität Augsbrug (Augsburg, Alemanha)
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, Reino Unido)
2017/12	Seminar "Monodromy local moduli for Frobenius coalescent structures"	Manin Seminar on Algebra, Geometry and Physics Max-Planck-Institut für Mathematik (Bonn, Alemanha)
2017/11	Oberseminar	Max-Planck-Institut Oberseminar Max Planck Institut für Mathematik (Bonn, Alemanha)
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, Itália)
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, Itália)
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 (Itália)

Organização de evento

	Nome do evento Tipo de evento (Tipo de participação)	Instituição / Organização
2023/06 - Atual	Organizer of the conference "An ODE to geometry", in the context of the project GENIDE (2022.03702.PTDC) (2024/09/16 - 2024/09/21) Conferência	Universidade de Lisboa Grupo de Física Matemática, Portugal
2023/05 - Atual	Organizer of the "LUSO-BRAZILIAN MEETING IN THEORETICAL AND MATHEMATICAL PHYSICS" (https://sites.google.com/view/lbtmp24) (2024/02/26 - 2024/03/01) Conferência (Membro da Comissão Organizadora)	Universidade de Lisboa Grupo de Física Matemática, Portugal Universidade de Pernambuco, Brasil
2023/05 - Atual	Local organizer of the COST Action Training School "Contemporary trends in integrable systems", for the project CaLISTA (Ca21209) (2024/07/01 - 2024/07/05) Conferência (Membro da Comissão Organizadora)	Università degli Studi di Bologna, Itália Universidade de Lisboa Grupo de Física Matemática, Portugal Scuola Internazionale Superiore di Studi Avanzati, Itália
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) Encontro (Coorganizador)	Rheinische Friedrich-Wilhelms-Universität Bonn Hausdorff Center for Mathematics, Alemanha
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) Congresso (Coorganizador)	Scuola Internazionale Superiore di Studi Avanzati, Itália

Consultoria / Parecer

	Descrição da atividade	Instituição / Organização
2019/01 - Atual	I was asked to referee several papers for 4 journals (Nonlinearity, Letters in Mathematical Physics, SIGMA, Journal of Mathematical Analysis and Applications)

Curso / Disciplina lecionado

	Disciplina	Curso (Tipo)	Instituição / Organização
2024/02 - Atual	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, Itália

Membro de comissão

	Descrição da atividade Tipo de participação	Instituição / Organização
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. Membro	Scuola Internazionale Superiore di Studi Avanzati, Itália
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. Membro	Scuola Internazionale Superiore di Studi Avanzati, Itália

Tutoria

	Tópico	Nome do aluno
2024/02 - Atual	Post-Doc supervision	Jonathan Gabriel Bradley-Thrush
2024/02 - Atual	Post-Doc supervision	José Julián Barragán Amado
2023/09 - Atual	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

Distinções

Prémio

2018	Lutman Prize Scuola Internazionale Superiore di Studi Avanzati, Itália

Outra distinção

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