Curriculum Vitæ
General Information
| Full Name | Fernando Vieira Costa Júnior |
| Author name | Fernando Costa Jr. / F. Costa Jr. |
| fernando@mat.ufpb.br | |
| Languages | French (fluent), English (fluent) and Portuguese (native) |
Professional situation
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since 2024 Associate professor
Federal University of Paraíba, Brazil - Working at the Mathematics Department (DM-UFPB)
- Member of the Functional Analysis research group of the PPGMAT
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2023 - 2024 FNRS Postdocoral Researcher (Chargé de Recherches)
University of Mons, Belgium - Member of the Probability and Statistics Service
- Supervisor: Quentin Menet
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2021 - 2023 Temporary assistant professor
Avignon University, France - Member of the Avignon's Mathematics Laboratory (L.M.A.)
- Researcher in the group Dynamical Systems and Geometry (SDG)
Education
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2018 - 2021 Ph.D. in Mathematics
Clermont Auvergne University, France - Title: Hypercyclic vectors and algebras
- Advisor: Frédéric Bayart
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2016 - 2018 M.Sc in Mathematics
Federal University of Paraíba, Brazil - Title: A geometria de L(mRn) e aplicações
- Advisor: Daniel Pellegrino
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2012 - 2015 Lic. in Mathemathics
Federal University of Alagoas, Campus Arapiraca, Brazil - Title: Teorias de Integração
- Advisor: Ornan Oliveira
Scientific responsibilities
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2023 - 2024 Coordinator of the PEPS project "Linear dynamics of shifts on trees"
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2021 - 2023 Member of the Avignon Mathematics Laboratory's council
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2018 - 2022 Member of the ANR project "Frontiers of Operator Theory"
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since 2023 Reviewer for MathSciNet
Visits
- Visiting researcher, February 2024, Universitat Politècnica, València, Spain
- Visiting researcher, June 2023, École Nationale Supérieure d’Ingénieurs de Bretagne Sud, Vannes, France
Talks and short courses
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International conferences
- (April 2024) Hypercyclic algebras for shifts on trees, New Horizons in Linear Dynamics, Universality, and the Invariant Subspace Problem, Mathematisches Forschungsinstitut Oberwolfach, Germany
- (June 2023) Fractals and common hypercyclicity, Advanced Courses in Operator Theory and Complex Analysis 2023, Aristotle University of Thessaloniki, Greece
- (June 2023) Self-similar fractals and common hypercyclicity, 45th Summer Symposium in Real Analysis, Università degli Studi della Campania "L. Vanvitelli", Caserta, Italy
- (June 2023) Self-similar fractals and common hypercyclicity, Annual meetings of the FNRS group - Functional Analysis, Université de Mons, Mons, Belgium
- (December 2021) Hypercyclic algebras: what we do and do not know, Frontier of Operator Theory, CIRM, Marselha, France (Poster)
- (June 2019) Common hypercyclic algebras, Advanced Courses in Operator Theory and Complex Analysis 2019, Université Gustave Eiffel, Champs-sur-Marne, France
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Mathematical seminars
- (October 2023) Introduction aux algèbres hypercycliques, Algèbre, Dynamique et Arithmétique Seminar, Laboratory of pure and applied mathematics Joseph Liouville, Université du Littoral Côte d'Opale, Calais, France
- (October 2023) Hypercyclicité simultannée en 2D, Functional Analysis Seminar, Paul Painlévé Mathematics Laboratory, Université de Lille, Lille, France
- (September 2022) Common hypercyclicity in several dimensions, Séminaire d’Analyse et Géométrie, Institut de Mathématiques de Marseille, Aix-Marseille Université, Marseille, France
- (June 2022) The origins of Linear Dynamics, Rauzy Seminar (FRUMAM), Institut de Mathématiques de Marseille, Aix-Marseille Université, Marseille, France
- (Novembre 2021) À la recherche d’une algèbre hypercyclique fermée, Functional Analysis Seminar, Paul Painlévé Mathematics Laboratory, Université de Lille, Lille, France
- (Novembre 2021) Vecteurs et algèbres hypercycliques, Systèmes Dynamiques et Géométrie Seminar, Laboratoire de Mathématiques d'Avignon, Avignon Université, Avignon, France
- (June 2021) Convolution operators supporting hypercyclic algebras, Functional Analysis Seminar, Paul Painlévé Mathematics Laboratory, Université de Lille, Lille, France
- (April 2019) Une exposition de l'hypercyclicité, Doctorate students seminar, Laboratoire de Mathématiques Blaise Pascal, Université Clermont-Auvergne, Clermont-FD, France
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Mini-courses
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(August 2015) "Sistemas axiomáticos formais e aplicações", II EMAAL, UFAL Arapiraca, Brazil
(Course notes) (Slides) -
(August 2015) "Teoria dos números e a lei de reciprocidade quadrática", III Colóquio de Matemática da Região Norte (SBM), UFAM, Manaus, Brazil
(Course notes) (Slides)
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(August 2015) "Sistemas axiomáticos formais e aplicações", II EMAAL, UFAL Arapiraca, Brazil
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Popular science presentations
- (June 2019) "Le travail d'un mathématicien, comment se passe-t-il ?", Centre FLEURA, Université Clermont-Auvergne, Clermont-FD, France
Academic Interests
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Linear Dynamical Systems (Operator Theory)
- Hypercyclicity, common/\(U\)-frequent/frequent/disjoint hypercylicity, hypercyclic algebras
- Recurrence, recurrent algebras
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Bohnenblust-Hille constants
- Truncated constants using a computer
- Asymptotic behavior via interpolation methods
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Lineability, spaceability and algebrability
- Algebrability of the set of hypercyclic/recurrent vectors
- \((\alpha,\beta)\)-lineability and more general notions
Publications
- Go to the page Publications.
Other Interests
- Hobbies: electric and acoustic guitar, dark souls, cavaco/banjo, batucada, dark souls, hiking, running, dark souls, climbing, swimming, etc... I also enjoy dark souls.