• Check out the eligibility criteria and how to apply
• To apply to this doctoral program, you have to complete and submit an online application form
• Visit our website to get an idea of ongoing research in Mathematics at EPFL and see the PhD advisors linked to our doctoral program

Further information on the admission criteria and application procedures visit the webpage.

For me, the doctoral program in mathematics at EPFL was the ideal introduction to life in academia which lead to my exciting post-doc at UCLA as Assistant Adjunct Professor at UCLA. During my PhD I was fortunate to have an excellent advisor, with whom I met regularly and from whom I learned a great deal. It gave me the freedom to develop my technical skills without being overwhelmed by deadlines and commitments, while still providing structure through advanced courses and teaching opportunities. I’m especially grateful for the opportunities to connect with researchers around the world through conferences and research visits, often supported by the department, which deepened my understanding of the field and ultimately helped me secure a postdoc after graduation. Lastly, any discussion of life at EPFL would be incomplete without mentioning weekends spent hiking, climbing, or relaxing by the lake with friends. It was a privilege to spend four years studying mathematics in such a spectacular environment, surrounded by supportive colleagues.

I am a Chapman Fellow in Mathematics at Imperial College London. During my PhD at EPFL under the supervision of Prof. Maria Colombo, I worked on challenging problems in fluid dynamics, focusing on the analysis of the Navier-Stokes equations, the transport equation, and the transport-diffusion equation. My research explored how small scales form in both smooth and irregular fluids. For instance, I contributed to the understanding of enhanced dissipation in smooth flows, and of anomalous dissipation and the lack of selection in the vanishing viscosity limit for irregular ones. I used advanced tools from PDE theory such as convex integration, mixing techniques, and pseudo-spectral bounds to study the fine structure that arises in fluid behavior. Outside of research, I really enjoyed the PhD experience: meeting many great people, making close friends, and travelling often for conferences and collaborations.