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Interactions of Geometry with Algebra and Applications (INTERGAP)
FPI Research Position: PID2023-146936NB-I00 - Interactions of Geometry with Algebra and Applications (INTERGAP)
Information
Duration: 4 years
Salary (approx. before taxes):
1st year: ~€19,479
2nd–4th years: ~€24,348/year
Additional Benefits:
Teaching opportunities with additional remuneration
€7,000 for research stays abroad
Contact: eva.miranda@upc.edu, josep.alvarez@upc.edu
Application open 14/10/2024 a 09:00 until a 27/10/2024 a 14:00 (Europe/Madrid / UTC200)
To apply
Interested individuals must complete the form available in the corresponding procedure on the UPC electronic headquarters: Call for applications for predoctoral contracts for the training of doctors, and attach the required documentation as well as confirm the submission of the form.
Documentation: (point 8 of the call) see the Application Submission section.
A copy of a valid DNI, NIE, or passport. A copy of the passport is required only for foreign nationals not residing in Spanish territory, as residents must submit a copy of their NIE.
Curriculum vitae in Catalan, Spanish, or English (use the document template provided on this webpage).
Academic certificate of the qualifications obtained at the time of submission, indicating the completion date of the studies, the grades obtained, and the dates they were awarded, corresponding to the subjects that make up the full program of the stated degrees.
For certificates issued by foreign institutions, the maximum and minimum grades within the respective grading system, as well as the minimum passing grade, must also be included. If the academic certificate is issued in a language other than Spanish or English, an official translation into one of these two languages must be provided.
In the case of studies completed abroad: declaration of equivalence of the average grade of undergraduate and master's studies, using the form provided by the Ministry of Universities.
Document accrediting a disability degree of 33% or higher, in the case of applicants applying under the disability category.
In order to apply you need to follow the link: https://eadministracio.gdc.upc.edu/formulariTramitGeneric/CONV_AJUTS_CONTRACTES_PREDOC_FORMACIO_DOCTORS_UPC_2CONV?lang=en (If you are from the EU)
Otherwise follow the link: https://eadministracio.gdc.upc.edu/formulariTramitGeneric/noaut/CONV_AJUTS_CONTRACTES_PREDOC_FORMACIO_DOCTORS_UPC_2CONV
More information on application:
If you have doubts or concerns about the application contact: eva.miranda@upc.edu, josep.alvarez@upc.edu
Application open 14/10/2024 a 09:00 until a 27/10/2024 a 14:00 (Europe/Madrid / UTC200)
Our Group
We are an internationally recognized research group at the forefront of geometry and algebra, with a strong tradition of exploring their interactions. Our work spans the cutting edges of Poisson and Symplectic Geometry and the intersection of Commutative Algebra and Algebraic Geometry. Beyond pure mathematics, we tackle interdisciplinary challenges in Biology, Robotics, Astrodynamics, Computer Science, Fluid Dynamics, and Physics. Led by Eva Miranda and Josep Álvarez, our group includes renowned researchers like Maria Alberich, Jaume Amorós, Miguel Ángel Barja, Guillem Blanco, Marta Casanellas, Jesús Fernández, Marco Gualtieri, Marta Mazzocco, and Francesc Planas. Visit our website for more details.
Geometry and Applications Block
1.Singular Symplectic Geometry, its Mirrors, and Applications
This line explores the impact of singularities on geometrical structures, with applications ranging from celestial mechanics to fluid dynamics. Building on Miranda’s pioneering theory of b-symplectic structures, we address long-standing open problems like the Weinstein and Arnold conjectures and develop key tools in Floer homology. We also plan to consider classification problems concerning group actions and integrable systems , using cutting-edge geometrical and topological techniques in contact and symplectic geometry. We plan to use geometrical and topological techniques in contact and symplectic geometry to tackle open challenges in the Euler and Navier-Stokes equations, which are foundational to understanding the complexity of fluid motion.
Concrete Goals:
GEO1: Generalized singular Weinstein conjecture
GEO2: Floer homology and Arnold conjecture
GEO3: Poisson manifolds as limits of E-symplectic manifolds
GEO4: Group actions, quantization, and the [Q,R]=0 conjecture
GEO5: Singular Mirrors and Fluid Dynamics
GEO6: Applications to the complexity of Fluid Dynamics
GEO7: Applications to Physics, including General Relativity, galaxy morphology, and astrodynamics
2. GEOBOT: Applications of Differential Geometry to Computer Science and Robotics
This innovative line leverages advances in geometry and algebra to drive progress in robotics and computer science. A key focus is the development of a fluid computer that mimics computational processes via fluid dynamics, opening exciting possibilities for creating hybrid computers that combine fluid mechanics with quantum field theory, potentially outperforming current quantum computing models. We also apply geometric techniques to simulate realistic cloth behavior for robotic manipulation, driving advancements in neural networks and robot control.
Concrete Goals:
GEOBOT1: The hybrid computer
GEOBOT2: Mechanical Modelling of Cloth and Planning for Robotic Manipulation of Cloth
More information: https://sites.google.com/upc.edu/symcrea/openings/fpi
How to apply? More information will be posted soon. Send me an email to let me know you are interested.
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