Job Information
- Organisation/Company
- Alfred Renyi Institute of Mathematics
- Department
- -
- Research Field
- Mathematics » Probability theory
- Researcher Profile
- First Stage Researcher (R1)
- Country
- Hungary
- Application Deadline
- Type of Contract
- Temporary
- Job Status
- Full-time
- Hours Per Week
- 40
- Offer Starting Date
- Is the job funded through the EU Research Framework Programme?
- H2020 / Marie Skłodowska-Curie Actions
- Reference Number
- 20240409
- Marie Curie Grant Agreement Number
- 110120085
- Is the Job related to staff position within a Research Infrastructure?
- No
Offer Description
This position part of the project BeyondTheEdge; more information and eligibility criteria can be found on the project website Beyond The Edge EU MSCA Doctoral Network.
The applicant will be employed at HUN-REN Alfréd Rényi Institute of Mathematics, and will be enrolled to the doctoral programme of Eötvös Loránd University. The expected length of the PhD is 4 years.
Many systems that govern our everyday lives—from communication networks to the human brain—can be seen as networks of interconnected units. Traditionally, networks are equated with graphs where edges give pairwise relations between two units. However, in network dynamical systems, nonlinear higher-order interactions between more than two units often play a critical role in shaping the collective dynamical behaviour of all units: For example, the spread of a disease depends not only on our behaviour as pairs of individuals but also how we behave in groups of more than two. Thus, elucidating the role of these higher-order interactions is critical to understand and control the dynamics of complex systems that determine our lives and livelihoods, whether it is the spreading of a disease or the proper functioning of the human brain as a network of billions of neurons.
Research topic: the theory of graph limits turned out to be a powerful tool for solving problems in extremal combinatorics and random graphs. The limit object is usually not a graph anymore (e.g. it can be a probability measure or an operator). The goal of the project is to discover extensions of this theory to hypergraphs and higher-order networks, describe limit objects of random hypergraphs and higher-order networks, and find applications for mean-field limit theories for dynamics on heterogeneous networks.
Requirements
- Research Field
- Mathematics » Probability theory
- Education Level
- Master Degree or equivalent
solid knowledge of advanced probability theory (including martingale theory), graph theory and differential equations
- Languages
- ENGLISH
- Level
- Excellent
Additional Information
Secondments (6 and 2 months during the 4 years of PhD): TU Münich, Christian Küehn; VU Amsterdam, Raffaella Mulas
The doctoral network BeyondTheEdge will identify the role of nonpairwise higher-order interactions in the emergence of complex dynamical behaviour of networks of interacting units. BeyondTheEdge brings together key researchers in an international network that is interdisciplinary (from mathematics to neuroscience) and intersectorial (including academia, private research institutes, and industry) to develop new mathematical insights relevant for real-world problems. BeyondTheEdge will train a cohort of 10 PhD students through research, education, and complementary skills training. This will enable the PhD students to innovate, collaborate, and become leading professionals in academia, industry, or the public sector: Innovative training activities will ensure that all PhD students can apply their skills beyond the academic context and put them in perspective of the wider world. Supervisor training activities ensure that the more junior project partners can shape the PhD education of the future. Thus, BeyondTheEdge will make a lasting contribution that will far outlive the duration of the project.
The prospective researcher
- is a doctoral candidate (i.e. not already in possession of a doctoral degree)
- will be employed full-time and working exclusively for the activity
- has not resided or carried out their main activity in Hungary for more than 12 months in the 36 months immediately before the recruitment date
- a curriculum vitae (including a short description of the topic of the master’s thesis) and a short (half-page) motivation letter should be sent to backhausz.agnes@renyi.hu
- two recommendation letters should be sent to backhausz.agnes@renyi.hu directly by the professors who write the letters; preferably one of the letters is written by the supervisor of the master’s thesis
- a committee (including the supervisors of the secondments) will select a candidate by early May 2024
- Website for additional job details
Work Location(s)
- Number of offers available
- 1
- Company/Institute
- Alfréd Rényi Institute of Mathematics
- Country
- Hungary
- City
- Budapest
- Postal Code
- H-1053
- Street
- Reáltanoda utca 13-15.
- Geofield
Where to apply
- agnes@renyi.hu
Contact
- City
- Budapest
- Website
- Street
- 13-15 Realtanoda u.
- Postal Code
- H-1053
- agnes@renyi.hu