bounDs on curvaturE, Flows, and geOmetRic coMparison

Position: Research appointment (pre-doc) Institute: Uni. Padua
New! Posted on: 22/06/2026 Deadline: 07/07/2026

Scientific-Disciplinary Group

01/MATH-03 - Mathematical Analysis, Probability And Mathematical Statistics

Description

The research grant (IR) focuses on one or more of the following three topics:1) Study spaces with scalar curvature lower bounds in terms of properties of the weak Inverse Mean Curvature Flow. Discuss relations with typical questions in the area, in particular in relation with mathematical general relativity. Examples: positive mass theorems, Penrose inequalities, approximation by Ricci flow, compactness/stability theorems. 2) Explore new geometric flows/geometric PDEs leading to sharp mean curvature inequalities in spaces with curvature bounds, in order to deduce isoperimetric type inequalities.3) Work out versions of the Minkowski inequality for surfaces with free/capillary boundary in suitable surfaces, such as cones. The tool consists in free boundary/capillary versions of the weak IMCF.

Compensation

31,616 Euro

Number of positions

1

Funding body

Department of Mathematics - University of Padua

Selection process

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The selection is carried out through the comparative evaluation of qualifications, scientific-professional curriculum, scientific productivity and an interview by a Selection Committee appointed by the Director of the structure.For the comparative evaluation of candidates, the committee has 100 points at its disposal, of which:- for qualifications 15: degree, PhD, specialization diploma, certificates of attendance of post-graduate specialisation courses (obtained in Italy or abroad);- for the scientific-professional curriculum 15: documented research activity carried out at public and private entities with contracts, scholarships or assignments (both in Italy and abroad) relevant to the research activity subject of the announcement;- for scientific productivity 30: quantity and quality of scientific publications, including master's or single-cycle master's or doctoral theses;- for the interview: 40 points, Young scholars holding a master’s degree in mathematics (LM-40) or an equivalent qualification obtained no more than six years before the application deadline are eligible to apply. Applicants must have a curriculum vitae demonstrating suitability for assisting in and conducting research activities. Candidates are expected to be familiar with geometric partial differential equations (evolution equations, geometric flows, and elliptic PDEs involving mean curvature terms) as well as with Riemannian geometry. Knowledge of mathematical General Relativity and comparison geometry will be regarded as a preferential qualification.