Vienna Research Group Leader "Mathematics and..."

Position:

Applications are being invited for outstanding early-career scientists (2-8 years post PhD), interested in building up their first independent research group in the field of "Mathematics" at the University of Vienna.

The aim of this announcement is to source exceptional candidates, who, once selected, will then go on to submit an application together with an experienced scientist at the University of Vienna, to the current call for young investigators by the Vienna Science and Technology Fund (WWTF): https://www.wwtf.at/upload/VRG17_web.pdf.

In the case of a successful funding decision, the research group will be financed for 6-8 years, with up to 1.6 million EUR being provided by the WWTF, supplemented by an additional contribution from the University itself. After a successful interim evaluation, the University of Vienna will offer the group leader a tenure-track position.

Requirements:

Applicants should have exceptional promise, or a proven record of research achievement, within the field of mathematics. They should also provide strong evidence of their potential to make a significant contribution to substantial state-of-the-art scientific research questions in this particular research field. Female applicants are explicitly encouraged to apply.

Possible research groups at the Faculty Mathematics, University of Vienna:

Application procedure:

  • Interested PostDoc candidates should get in touch with the scientific contact.
  • Please send your CV with publication list, list of research projects, teaching activities (evaluations, if available) and supervised PhD students to projektservice.mathematik@univie.ac.at by no later than 30th April 2017.

Numerics of Partial Differential Equations

Univ. Prof. Ilaria Perugia, PhD

Numerics of Partial Differential Equations studies numerical methods for computing approximate solutions to problems that are mathematically described by partial differential equations. The research of the group mainly focuses on the design, the analysis, and the implementation of standard and non standard finite element methods (discontinuous Galerkin, virtual element methods, finite elements with operator-adapted basis functions), with applications in acoustics, electromagnetism, and elasticity.

Scientific contact: ilaria.perugia@univie.ac.at

Mathematics and Biosciences

Univ.-Prof. Dr. Joachim Hermisson

Quantitative methods play an ever more important role throughout the life sciences. Biomathematics combines approaches from dynamical systems, stochastics, statistics or computational sciences and develops models to address problems arising from biology and medicine.
The biomathematics group at the University of Vienna (Faculty of Mathematics and Max F. Perutz Laboratories) invites and supports WWTF Young Researcher applications of candidates with a strong track record in biomathematical modeling, in particular from the fields population genetics/genomics, population or community ecology, or disease modeling (infectious diseases, cancer).
Scientific contact: joachim.hermisson@univie.ac.at

Calculus of Variations and Materials

Univ.-Prof. Ulisse Stefanelli, PhD

The Applied Mathematics and Modeling Group is interested in models in Materials Science, from the atomic to the macroscale, both in the static and in the evolutive regime. The involved mathematics falls often within the frame of the Calculus of Variations and of partial differential equations.
Scientific contact: ulisse.stefanelli@univie.ac.at

Mathematics and Finance

o. Univ.-Prof. Mag. Dr. Walter Schachermayer

The successful Young Investigator  will have an excellent publication record as well as high potential in the field of Mathematical Finance. Particular emphasis will be on robust, i.e. model-free, methods and in particular on the connections between the theory of optimal transport and the probabilistic notion of a martingale.
Scientific contact: walter.schachermayer@univie.ac.at

CAT(0) Cubical Geometry, with Applications

Univ.-Prof. Dr. Goulnara Arzhantseva

CAT(0) cubical geometry focuses at certain complexes with nonpositive curvature.
Appeared in geometry, they can be characterized in a purely combinatorial way, whence also their applications in algorithms, robotic systems, forensic genetics, combinatorial optimization, etc.
Several of our team members are experts in using CAT(0) cubical complexes and related complexes in geometric and analytic group theory.
Scientifc contact: goulnara.arzhantseva@univie.ac.at

Applied Harmonic Analysis in Data Science

M.Dörfler, M.Ehler, P.Grohs

Applied harmonic analysis in data science as represented within our
numerical harmonic analysis group relates to signal and image analysis
problems with a special focus on  mathematical learning methodologies. We are interested in creating and refining tools from harmonic analysis,
usually relating to decompositions and approximations, in order to better understand, develop, and improve machine learning techniques. Currently, there are active research ties to partners from the Austrian institute for Artificial Intelligence, the Department of Ophthalmology, the Acoustics Research Institute, and the Department of Environmental Geosciences.

Scientific contact: monika.doerfler@univie.ac.at, martin.ehler@univie.ac.at, philipp.grohs@univie.ac.at

Categorical Kaehler Geometry and Applications

Univ.-Prof. Ludmil Katzarkov

We propose the following project -  developing a dynamical system analogue of Hodge theory - theory of central manifolds. This will lead to a complete proof  of the Shafarevich conjecture - see bellow.
Linear Shafarevich Conjecture
Philippe Eyssidieux, L. Katzarkov, Tony Pantev, Mohan Ramachandran
Annals of Math,  176-3, 2012, 1545-1581.

Scientific contact: ludmil.katzarkov@univie.ac.at

Expander Graphs: Constructions, Generalisations, and Applications

Univ.-Prof. Goulnara Arzhantseva

These are highly connected sparse graphs useful in many areas of mathematics and computer science.
The interest to find new explicit constructions of expanders is motivated by applications in network design, coding theory, cryptography, compressive sensing, metric geometry, and derandomization of algorithms, etc. Such constructions often require deep pure mathematical results, e.g. methods of group representation theory. Our research is both on new constructions of expanders using geometric, combinatorial, computational, and analytic group theory and on further applications of expanders.

Scientific contact: goulnara.arzhantseva@univie.ac.at

for the guidelines please follow this link:

[CALL] WWTF - Vienna Research Groups for Young Investigators Call 2017