Geometric and Functional Analysis
Scientic Supervisor / Contact Person
Name and Surname
Jesús A. Jaramillo
ORCID (link)
Localization & Research Area
Faculty / Institute
Faculty of Mathematical Science
Department
Análisis Matemático y Matemática Aplicada
Research Area
Mathematics (MAT)
MSCA & ERC experience
Research group / research team hosted any MSCA fellow?
No
Research group / research team have any ERC beneficiaries?
No
Research Team & Research Topic
Research Team / Research Group Name (if any)
GEOMETRIC AND FUNCTIONAL ANALYSIS
Website of the Research team / Research Group / Department
Brief description of the Research Team / Research Group / Department
Our research team gathers 8 senior members plus 2 young researchers. We work on different topics in the broad area of Geometric and Funcional Analysis, including:
- Differentiability and fine properties of functions.
- Function spaces: Sobolev spaces, Besov spaces, BV-spaces.
- Analysis and geometry of metric spaces.
- Linear and nonlinear geometry of Banach spaces.
Our team has received funding in R&D&I calls uninterruptedly for more tan 20 years. The senior members of the team have a wide experience supervising doctoral and post-doctoral researchers. Our group can support applications from candidates in these and related areas.
- Differentiability and fine properties of functions.
- Function spaces: Sobolev spaces, Besov spaces, BV-spaces.
- Analysis and geometry of metric spaces.
- Linear and nonlinear geometry of Banach spaces.
Our team has received funding in R&D&I calls uninterruptedly for more tan 20 years. The senior members of the team have a wide experience supervising doctoral and post-doctoral researchers. Our group can support applications from candidates in these and related areas.
Research lines / projects proposed
Our current research is focused around the following lines:
- Whitney extension problems for convex functions.
- Sobolev extension domains. Poincaré inequalities.
- Approximate Morse-Sard type results in infinite dimension.
- Nonsmooth analysis and special funcions.
- Operator ranges in Banach spaces.
- Rectifiability on metric measure spaces and metric differentiability.
- Horofunctions and metric compactifications.
- Whitney extension problems for convex functions.
- Sobolev extension domains. Poincaré inequalities.
- Approximate Morse-Sard type results in infinite dimension.
- Nonsmooth analysis and special funcions.
- Operator ranges in Banach spaces.
- Rectifiability on metric measure spaces and metric differentiability.
- Horofunctions and metric compactifications.
Key words
Application requirements
Professional Experience & Documents
The candidate should have a PhD in Mathematical Analysis and a strong expertise in these topics. A letter of motivation and a CV should also be included in the application.
One Page Proposal
You can attach the 'One Page Proposal' to enhance the attractiveness of your application. Supervisors usually appreciate it. Please take into account your background and the information provided in Research Team & Research Topic section to fill in it.
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