Temas para Teses 2024/2025

Projects phd program in mathematics

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PhD Research in Differential Geometry

Supervisor: Prof. Rui Albuquerque (CIMA,University of Évora, rpa@uevora.pt )

1. Riemannian geometry of twistor bundles, G2 bundles or others; construction of new spherically symmetric metrics

2. Study of hypersurfaces through a fundamental differential system, its conservation laws and Hsiung-Minkowski type integral identities

3. Study of vector fields via calibrations: from homology class to volume and energy optimization

4. Manifold analysis of the tangent bundle of spheres via the fundamental differential system.

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One-dimensional Fluid-Structure Interaction Problems using the Cosserat Theory

Supervisors: Professor Fernando Carapau (CIMA, University of Évora, flc@uevora.pt), Professor Paulo Correia (CIMA, University of Évora, pcorreia@uevora.pt).

Modeling the fluid dynamics of the eye

Supervisors: Professor Fernando Carapau (CIMA, University of Évora, flc@uevora.pt), Professor Paulo Correia (CIMA, University of Évora), Professor Ashwin Vaidya (Mathematics Department, Montclair State University, NJ, USA).

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Modelling individual growth using stochastic differential equations.

Supervisors: Prof. Gonçalo Jacinto (CIMA, University of Évora, gjcj@uevora.pt), Prof. Patrícia Filipe (ISCTE-IUL, CIMA-UE, patricia.filipe@iscte-iul.pt)

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Meadows: How to divide by zero

Supervisors: João Dias (CIMA, University of Évora, joao.miguel.dias@uevora), Bruno Dinis, (CIMA, University of Évora, bruno.dinis@uevora.pt)

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Search for Invariant features on virus spread mathematical models: The case of Gompertz model and its renormalization

Supervisors: Prof. João Cabral (University of Açores, CIMA-University of Évora, joao.mg.cabral@uac.pt)

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Development of a mathematical model that relates human mobility to the logistical structure of goods and services that serves regional economic development in the Autonomous Region of the Azores

Supervisors: Prof. João Cabral (University of Açores, CIMA-University of Évora, joao.mg.cabral@uac.pt), Prof. Armindo Frias, Escola Naval de Lisboa

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Discrete dynamical systems with delay: iterated maps on 2D domains

Supervisors: Diogo Batista (CIMA, INESCC, IPL Leiria, diogo.baptista@ipleiria.pt), Alexandra Batista (CIMA, IPL Leiria), C. C Ramos (CIMA, University of Évora)

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Jordan type of an Artinian algebra

Supervisor: Pedro Macias Marques (CIMA, University of Évora, pmm@uevora.pt)