PhD Position Combinatorics

The Discrete Mathematics and Optimization group within the Delft Institute of Applied Mathematics at TU Delft is offering a full-time PhD position in the area of combinatorics.

During the PhD, you will work on topics at the intersection of probabilistic and extremal combinatorics, structural graph theory and algorithms. We study problems on discrete structures such as graphs, permutations, posets or set systems using probabilistic, structural and sometimes algebraic techniques. Potential directions include topics such as universal graphs ('What is the smallest graph containing all n-vertex graphs as induced subgraph?'),

reconstruction problems ('How many distances are required to reconstruct the edge set of a graph?') or finding structures that can lead to faster algorithms ('How fast can you 3-colour an n-vertex graph of diameter 2?').

The PhD will be supervised by Carla Groenland. You will have the opportunity to collaborate with postdocs, PhD candidates, and other faculty members of the research group in Discrete Mathematics and Optimization. Moreover, another PhD vacancy at University of Amsterdam, jointly supervised with Ross Kang on a similar topic, is open now at the same time, giving further collaboration opportunities.

Besides carrying out mathematical research and preparing scientific publications, you will be expected to actively participate in seminars and discussions within the department, and to present your work at both national and international conferences and workshops. You will also carry out minor teaching tasks (at most 15% of your time) in English (or possibly Dutch if you are Dutch-speaking). If desired, you can take Dutch language courses offered by the TU Delft Language Center.

• Strong communication and collaboration skills
• Mathematical maturity on the level of a master's degree in mathematics. A master's degree in mathematics (or closely related discipline) is a requirement by the start of the position.
• Enthusiasm for topics in probabilistic and extremal combinatorics and/or structural graph theory. Prior experience in these topics is not required but advantageous.
• Prior research experience, for example through a university project or summer internship.
• Fluent in English (no knowledge of Dutch is needed).

TU Delft (Delft University of Technology)

TU Delft is built on strong foundations. As creators of the world-famous Dutch waterworks and pioneers in biotech, TU Delft is a top international university combining science, engineering and design. It delivers world class results in education, research and innovation to address challenges in the areas of energy, climate, mobility, health and digital society. For generations, our engineers have proven to be entrepreneurial problem-solvers, both in business and in a social context.

At TU Delft we embrace diversity as one of our core values and we actively engage to be a university where you feel at home and can flourish. We value different perspectives and qualities. We believe this makes our work more innovative, the TU Delft community more vibrant and the world more just. Together, we imagine, invent and create solutions using technology to have a positive impact on a global scale.

The Faculty of Electrical Engineering, Mathematics and Computer Science (EEMCS) brings together three scientific disciplines. Combined, they reinforce each other and are the driving force behind the technology we all use in our daily lives. Technology such as the electricity grid, which our faculty is helping to make completely sustainable and future-proof. At the same time, we are developing the chips and sensors of the future, whilst also setting the foundations for the software technologies to run on this new generation of equipment - which of course includes AI.

Meanwhile we are pushing the limits of applied mathematics, for example mapping out disease processes using single cell data, and using mathematics to simulate gigantic ash plumes after a volcanic eruption. In other words: there is plenty of room at the faculty for ground-breaking research. We educate innovative engineers and have excellent labs and facilities that underline our strong international position.

In total, more than 1000 employees and 4,000 students work and study in this innovative environment.

Doctoral candidates will be offered a 4-year period of employment in principle, but in the…