MAnET Metric Analysis for Emergent Technologies

Main research field:
Topic of Individual Project:
Supervisor:

How to apply: send an email to departament@mat.uab.cat with the following documents: PDF copy of the applicant’s curriculum vitae PDF copy of the applicant’s identity document (with photo) Short presentation letter (including a short description of the applicant’s research interests, publications, etc) Names and email adresses of 2 reference persons

Salary: living allowance (57154,5 €/year) + mobility allowance (between 8200 and 11700 €/year depending on personal situation). These quantities include the following contributions: health system contribution, unemployment contribution, union contribution, indemnization contribution, illness leave contribution, formation contribution, income tax.

Eligibility: eligible researchers are described at pages 14-15 of http://ec.europa.eu/research/mariecurieactions/documents/about-mca/actions/itn/itn_2013_-_gfa_-_final_version_corrected_30.07.12_en.pdf

Receiving applications from:

-

Application deadline:

- december 16th, 2015

Envisaged Job Starting Date:

- Sometime between jan 1st, 2016 and march 31st, 2016

For further information feel free to contact albertcp@mat.uab.cat

Main research field: neuromathematics, applied Mathematics
Topic of Individual Project: Modeling of the visual cortex
Supervisor: Prof. Alessandro Sarti

The PhD project will focus on formal models of visual perception based on the functional architecture of the visual brain. The main scope is to mathematically formalize cortical circuitry of the visual cortex taking into account its multilevel structure. Neurogeometry underlying both low level and high level cognitive functionality will be considered, covering a wide range of cognitive tasks. The structure of the project allows a modular approach to the computation of neural connectivity. Starting from first principles, the geometry of connectivity of the functional architectures of low level visual cortex is modelled with instruments of differential geometry. It will provide invariant constitution of visual percepts. The same geometric structures are recovered starting from the stimuli set, showing that the neurogeometry is a dimensionality reduction of the stimuli space. Functional architectures underlying high level perceptual functionality will be formalized by means of a hierarchical multiscale dimensionality reduction technique.

How to apply: Call for the position has been posted on the website: http://actualites.ehess.fr/nouvelle6020.html Detailed description and requirements can be found in http://actualites.ehess.fr/download.php?id=1664

Receiving applications from:

- january 2014

Application deadline:

- february 28, 2014

Envisaged Job Starting Date:

- april 1, 2014

For further information feel free to contact alessandro.sarti@ehess.fr

Main research field: Models of vision, Image analysis
Topic of Individual Project: Models of computer vision in Lie groups
Supervisor: Under the direction of Prof. R. Duits (Tu/e)

The scope of this part of the project is to apply the multi-orientation algorithms of computer vision to the analysis of retinal fundus images. These images are provided by the industrial partner i-Optics (www.i-optics.com), who has a long experience in retinal image acquisition. We rely on metric analysis (curve optimization) developed within the MANET project, within the Lie group domain. The advantage of detecting the most salient curves within the function defined on a Lie group (score) is the disentanglement of crossings and bifurcations. Processing the lifting in a Lie group automatically includes the geometric properties of features in the score in a crossing preserving way without a need to classify the type of crossing. Applications are sought in medical imaging, which has undergone revolutionary development, and has become the prime source of information for clinical diagnosis and interventions. The need for sophisticated image analysis and visualization algorithms is strongly increasing. A main emphasis is on automated retinal analysis for diabetes screening (see: http://bmia.bmt.tue.nl/people/BRomeny/Research/VBI/index.html). Besides the retinal imaging application we will shall explore extensions to 3D applications, e.g. via feasibility studies employing 3D invertible orientation scores of 3D OCT (in collaboration with Maastricht University Eye Clinic) and cardiovascular MRI using contrast agents (with Philips Healthcare, prof. Marcel Breeuwer). The Biomedical Image Analysis group has developed a solid position in research and teaching in this field, and operates at world-class level. See: http://bmia.bmt.tue.nl. The group has set up a full line of teaching. Dr. Remco Duits has recently been rewarded an EU ERC Starting Grant (2014-2019), cf. http://bmia.bmt.tue.nl/people/RDuits/GAPF-revisedproposal335555.pdf , for other mathematical driven research, which further expands the team of this research focus substantially and provides a collaborative multi-disciplinary team within IST/e, cf. www.iste.nl . The Netherlands has traditionally a strong base in image analysis, and our group has established excellent research- and application collaborations with Philips Healthcare (Best, NL, 4 km away), and Philips Research (High Tech Campus, Eindhoven). The head of Philips MRI research (Prof. Marcel Breeuwer) is part-time professor in the BMIA group. Other research collaborations are established with KCL (London, UK), Utrecht University (NL), Maastricht University (NL) and many others. BMIA participates in the ‘Institute for Diagnostic & Interventional Imaging’ (IDII), which was established under the Dutch grant application program ‘Innovative Medical Devices Initiative NL’ (2011-2016).

How to apply: send the following documents via mail to prof. Duits r.duits@tue.nl: A letter of application, a CV with resume and picture, a list of pubblications (if applicable), a list of grading results in master degree, contact details of 1 to 3 references, with reference to the ERs4.2-Manet project

Receiving applications from:

- january 2014

Application deadline:

- february 25, 2014

Envisaged Job Starting Date:

- april 1, 2014

For further information feel free to contact r.duits@tue.nl

Main research field: Image analysis
Topic of Individual Project: Optimal curves in orientation scores and applications in retinal image analysis for diabetes screening.
Supervisor: Prof. R. Duits

The main scope of this part of the project is to expend the “invertible multi-orientation scores” technique to contact structures within higher dimensional Lie groups. Our new image analysis method relies on cortical modeling within the MANET project, where image data are lifted to a function (called a ‘score’) defined on a higher dimensional Lie group G; and where image data is enhanced via the scores such that the coherent features in G are amplified; optimal curves are extracted within the score via new metric analysis developed within the MANET project; To get an impression of the mathematical framework in which both projects operate and related publications, see the homepage of dr. Remco Duits: http://bmia.bmt.tue.nl/people/RDuits. Industrial applications are sought in medical imaging, which has undergone revolutionary development, and has become the prime source of information for clinical diagnosis and interventions. The need for sophisticated image analysis and visualization algorithms is strongly increasing. A main emphasis is on automated retinal analysis for diabetes screening (see: http://bmia.bmt.tue.nl/people/BRomeny/Research/VBI/index.html). Besides the retinal imaging application we will shall explore extensions to 3D applications, e.g. via feasibility studies employing 3D invertible orientation scores of 3D OCT data (collaboration Maastricht University Eye Clinic) and cardiovascular MRI using contrast agents (in collaboration with Philips Healthcare, prof. Marcel Breeuwer). The Biomedical Image Analysis group has developed a solid position in research and teaching in this field, and operates at world-class level. See: http://bmia.bmt.tue.nl. Dr. Remco Duits has been rewarded an EU ERC Starting Grant (2014-2019), cf. http://bmia.bmt.tue.nl/people/RDuits/GAPF-revisedproposal335555.pdf for other fundamental mathematical research, which further expands the team of this research focus substantially and provides a collaborative multi-disciplinary team within IST/e, cf. www.iste.nl . The Netherlands has traditionally a strong base in image analysis, and our group has established excellent research- and application collaborations with Philips Healthcare (Best, NL, 4 km away), and Philips Research (High Tech Campus, Eindhoven). The head of Philips MRI research is part-time professor in the BMIA group. Other research collaborations are established with KCL (London, UK), Utrecht University (NL), Maastricht University (NL) and many others. The BMIA research group participates in the ‘Institute for Diagnostic & Interventional Imaging’ (IDII), which was established under the Dutch grant application program ‘Innovative Medical Devices Initiative NL’ (2011-2016).

How to apply: send the following documents via mail to prof. Duits r.duits@tue.nl: a letter of application, a CV with resume and picture, a list of pubblications, a list of grading results in master degree, contact details of 1 to 3 references, statement of research, with reference to the ER6.1-Manet project

Receiving applications from:

- january 2014

Application deadline:

- february 25, 2014

Envisaged Job Starting Date:

- april 1, 2014

For further information feel free to contact r.duits@tue.nl

Main research field: Geometric analysis, PDE and applied math
Topic of Individual Project: Analysis in Lie groups with applications to robotics and vision
Supervisor: Prof. Giovanna Citti

The proposed project targets the study metric analysis in Lie groups and its applications. In particular the student will focus on the structure of minimal surfaces in the motion groups with a subriemannian metric. Many aspects of the problems are still open. Existence of minimal surfaces on bounded domains relies on Schauder estimates which are now known in the subriemannian setting. Properties of stable minimal surfaces with calibration method have not yet been established. This theory finds applications to robotics and the motor areas of visual cortex.

How to apply: The call for the position has been posted on the webpage: http://www.matematica.unibo.it/it/bandi/

Receiving applications from:

- march 17, 2014

Application deadline:

- april 17, 2014

Envisaged Job Starting Date:

- may 1, 2014

For further information feel free to contact giovanna.citti@unibo.it

Main research field: Geometric measure theory, differential geometry, PDEs and minimal surfaces
Topic of Individual Project: Minimal surfaces on Cartan-Hadamard manifolds and/or sub-Riemannian manifolds
Supervisor: I. Holopainen

How to apply: Call for the position has been posted on the website: https://wiki.helsinki.fi/display/mathstatHenkilokunta/MAnET

Receiving applications from:

- april 2014

Application deadline:

- may 31, 2014

Envisaged Job Starting Date:

- september 2014

For further information feel free to contact ilkka.holopainen@helsinki.fi

Main research field: Sub-Riemannian Geometry and Geometric Measure Theory
Topic of Individual Project: Generic Dimension Distorsion of Sobolev Maps
Supervisor: Prof. Zoltan Balogh

How to apply: http://www.math.unibe.ch/content/open_positions/index_eng.html

Receiving applications from:

- May 2014

Application deadline:

- June 30, 2014

Envisaged Job Starting Date:

- September 2014

For further information feel free to contact zoltan.balogh@math.unibe.ch

Main research field: Analysis and Geometric Measure Theory
Topic of Individual Project: Mass transport and rectifialibit
Supervisor: Prof. Albert Clop

The appointee will have to explore the connections between Geometric Measure Theory (GMT) and Mass Transportation. Links with quasiconformal theory will also have to be studied. Special interest will be driven to any GMT description of the Wasserstein distances, as well as any connection with Quasiconformal Mapping theory. Applicants must demonstrate some experience (at the level of an ER) as a researcher in Mathematical Analysis.
Any knowledge in some of the following areas might be of interest in the selection process: mathematical analysis, geometric analysis, partial differential equations, optimal mass transport, geometric measure theory, geometric function theory.

How to apply: Send an email to department@mat.uab.cat with the following documents: PDF copy of the applicant's curriculum vitae
PDF copy of the applicant's identity document (with photo)
Short presentation letter (including a short description of the applicant's research interests, publications, etc)
Names and email adresses of 2 reference persons
download info

Salary: around € 40,000 (before taxes), plus a mobility allowance of 683/ 977.00 € /month (depending on the family status)

Eligibility: Acedemic requisites: at the time of recruitment, applicants must have at least 4 years and at most 5 years (full time) of research experience (having a PhD is not needed). The research experience is always counted from the qualification that gives the rights to embark in a doctoral degree.
Mobility requisities: Applicants should demonstrate they have not resided or carried out their main activity (work, studies, etc) in Spain for more than 12 months in the 3 years immediately prior to the time of recruitment by the UAB host organisation.

Receiving applications from:

- april 2014

Application deadline:

- may 30, 2014

Envisaged Job Starting Date:

- september, 2014

For further information feel free to contact departament@mat.uab.cat

Main research field: PDEs in Lie groups, models of the visual cortex
Topic of Individual Project: PDEs in Lie groups, and application to models of the visual cortexi.
Formally sub-Riemannian space is characterized by the choice of m vector fields in a n-dimensional space, with m<n, and whose generated Lie algebra spans the whole space at every point. PDE and all the differential objects in this setting are expressed in terms of these vector fields.
Subriemannian quasilinear parabolic equations in Lie groups will be studied, and in particular curvature flows. Applications to model of the visual cortex will be considered. 
Supervisor: Prof. G. Citti

How to apply: http://www.unibo.it/en/teaching/phd/2014-2015/mathematics — phd info — procedure info

Salary: According to Grant Agreement with REA n.607643 and Resolution of University of Bologna CDA on date July 5, 2011, the gross amount of the research fellowship contract is the sum of: - a yearly living allowance which is a flat rate set out in the contract of 40.508,00 euro par year obtained as a product of a flat rate times a correction coefficient - a monthly mobility allowance which is a flat rate of 1.066,00 euro par month for researcher with family charges; and 746,20 euro par month for researchers without family charges, obtained as a product of a flat rate times the national correction coefficient The amount will be paid in deferred monthly payments. The Research Fellow is provided with accident insurance, against payment of the required contribution which will be withheld from the first monthly instalment.

Receiving applications from:

- april 15, 2014

Application deadline:

- 30/05/2014 13:00 (Bologna local time)

Envisaged Job Starting Date:

- october, 2014

For further information feel free to contact giovanna.citti@unibo.it

For IT Support Service related to the online application procedure please contact help.studentionline@unibo.it

Main research field: Minimal Surfaces, Analysis and Geometric Measure Theory
Topic of Individual Project: Existence results for some Plateau problems
Supervisor: Prof. G. David

The thesis concerns mainly minimal sets and cones, studied from the point of view of Analysis and geometric measure theory. The point of view that would be taken would mostly be a direct study (rectifiability, comparison arguments), It will be good to keep in mind that there are closely related problems that involve integral currents or varifolds, but the main perquisite is rather some knowledge of Analysis or harmonic analysis, and a little bit of geometric measure theory. What we have in mind is potential generalizations of J. Taylor's theorem (a local description of 2-dimensional minimal sets in 3-space as a C1 deformation of a minimal cone (there are three simple types), in particular when the set is attached to a boundary (or a small collection of boundary pieces), with applications to existence results in a similar context. We recall that the minimal sets in question are good models for soap films and bubbles. So far, the type of regularity properties that are known for such minimal sets (for instance, uniform rectifiability), and the GMT techniques for this problem, also played an important role in the study of singular integrals on sets, or other subjects that are studied in Universitat Autonoma de Barcelona, so the fellow is expected to spend some time in UAB. Similarly, even though the theory of minimal sets is much less understood in non euclidean contexts, interesting connections exist that the fellow will be encouraged to pursue.

How to apply: www.math.u-psud.fr/~gdavid

Salary: the gross amount of the research fellowship contract is the sum of:
- a yearly living allowance which is a flat rate set out in the contract of 44.118,00 euro par year obtained as a product of a flat rate times a correction coefficient
- a monthly mobility allowance which is a flat rate of 1.161,00 euro par month for researcher with family charges; and 812,70 euro par month for researchers without family charges, obtained as a product of a flat rate times the national correction coefficient

Eligibility: Early Stage Researchers must not have a PhD and at most 4 years (full-time equivalent) of research experience.
Mobility requisities: Applicants should demonstrate they have not resided or carried out their main activity (work, studies, etc) in France for more than 12 months in the 3 years immediately prior to the time of recruitment by the PSUD host organisation.

Receiving applications from:

- april 2014

Application deadline:

- june 30, 2014

Envisaged Job Starting Date:

- october 1, 2014

For further information feel free to contact guy.david@math.u-psud.fr

Main research field: Geometric measure theory and PDE
Topic of Individual Project: Minimal intrinsic graphs in Heisenberg groups
Supervisor: Prof. F. Serra Cassano, prof. R. Serapioni

How to apply: The position has been posted on the web site http://www.unitn.it/en/ateneo/bando/35318/department-of-mathematics-call-for-the-selections-for-the-awarding-of-no-1-research-fellowship-decre

Receiving applications from:

- May 2014

Application deadline:

- by 12.00 p.m. 10th June 2014

Envisaged Job Starting Date:

- November 2014

For further information feel free to contact serv.amm.didric.collina@amm.unitn.it

Main research field: Geometrical measures theory and application to traffic analysis
Topic of Individual Project: Urban traffic problems in optimal transportation
Supervisor: Prof.A. Clop

Two key ingredients for traffic simulation are the who goes where information and what paths do they take. The first one is summarized into the so called OD matrix which specifies how many drivers go from and to a fixed set of points in a traffic network. Traditionally, this OD matrix is firstly estimated through a survey and is afterwards adjusted so as they are compatible with measured flows (real data). The latter is called OD matrix adjustment and involves optimization and machine learning techniques.
Once you have an OD matrix, you want to know which paths will people take, so that you can predict what areas will be more congested. This is done on a game theoretic principle known as Wardrop’s equilibrium which states that all paths sharing the same origin and destination should take the same total travel time. Recently, a continuous version, where paths do not have to be on a network, but on an open domain on the plane, has been introduced in the mass transportation community.
The thesis will have a theoretic part and an applied part. The link between them is the so-­‐called “Wardrop Equilibrium”. The project will be developed in close collaboration between public and private institutions: ­ ‐ the Department of Mathematics at Universitat Autònoma de Barcelona (UAB) http://uab.cat/matematiques/ ­‐ Transport Simulation Systems (TSS) http://www.aimsun.com/wp/ Among the topics to be developped during the thesis preparation, -­‐ UAB: optimal mass transportation, partial differential equations, mathematical analysis, geometric measure theory, geometric function theory - ‐ TSS: optimization, machine learning, origin-­‐destination problems, traffic modelling The selected candidate will also take active part in all the events of the MAnET network.

How to apply: download info

Receiving applications from:

- april 2014

Application deadline:

- may 30, 2014

Envisaged Job Starting Date:

- september 2014

For further information feel free to contact departament@mat.uab.cat

Main research field: Image analysis, models of the visual cortex
Topic of Individual Project: Eye path tracking
Supervisor: Prof. A. Sarti

How to apply: Call for the position has been posted on the website: http://actualites.ehess.fr/nouvelle6210.html
Detailed description and requirements can be found in http://actualites.ehess.fr/download.php?id=1710

Receiving applications from:

- april 28, 2014

Application deadline:

- june 30, 2014

Envisaged Job Starting Date:

- october 1, 2014

For further information feel free to contact alessandro.sarti@ehess.fr

Main research field: PDEs, Potential theory, Geometric Function Theory, Sub-Riemannian Geometry
Topic of Individual Project: Sub-Riemannian Partial Differential Equations
Supervisor: Xiao Zhong or Pekka Koskela

How to apply: Call for the position has been posted on the website https://www.jyu.fi/maths/en/news/esr-position-available

Receiving applications from:

- august 7, 2014

Application deadline:

- september 8, 2014

Envisaged Job Starting Date:

- october 1, 2014

For further information feel free to contact pekka.j.koskela@jyu.fi, xiao.x.zhong@jyu.fi

Main research field: Geometric Measure Theory and PDE
Topic of Individual Project: Intrinsic differential forms on CC groups and differential operators.
The proposed project targets the study of the Rumin’s complex of differential form in a Carnot group and, more generally, in sub-Riemannian structures, as well as that of differential operators within Rumin’s complex. In particular the project is focused on relationship between the properties of the exterior differential of Rumin’s complex and different notions of curvature for submanifolds of a Carnot group. A critical feature of the problem relies on the fact that the exterior differential of Rumin’s complex is an operator of higher order in the horizontal derivatives. The candidate should also address the study of Monge-Ampère type equations and, possibly, of Hessian equations in Carnot groups from the perspective of differential forms theory.
Supervisor: Prof. B. Franchi

How to apply: http://www.mathematics.unibo.it/en/calls-of-competition/marie-curie-experienced-researcher-post-doc-within-the-itn-eu-research-project-manet

Receiving applications from:

- 31 July, 2015

Application deadline:

- September 7, 2015 at 12:00 (Bologna Local Time)

Envisaged Job Starting Date:

- 1 November, 2015

For further information feel free to contact bruno.franchi@unibo.it