Dylan Samuelian

I am currently a PhD student in Mathematics at EPFL (Lausanne, Switzerland). I completed my thesis at the Chair of Partial Differential Equations (PDE) under the supervision of Prof. Joachim Krieger. I defended my thesis and obtained my Ph.D. in June 2026.

Contact

Email: dylan.samuelian@outlook.com

Education

PhD, Mathematics, 2021-2026.
Complementary Certificate in Computer Science (30 ECTS), University of Geneva, 2020-2021.
Bachelor & Master (120 & 90 ECTS), Mathematics, EPFL, 2015-2021.

Research Interests

My research focuses on the asymptotic analysis of finite-energy solutions (also known as Type II solutions) to non-linear dispersive and parabolic equations, under certain symmetry assumptions.

Studying such equations contributes to a better understanding of physical phenomena such as rogue waves. Closely related mathematical models also arise in technological applications, notably in describing defects in liquid crystals used in LCD technology, or in studying and optimizing the data-writing mechanism in magnetic devices such as MRAM.

PUBLICATIONS

Samuelian, D. On blow-up dynamics for the nonlinear wave equation and the harmonic map heat flow (Publication No. 11308) [PhD thesis, EPFL, 2026; Supervised by J. Krieger]. https://doi.org/10.5075/epfl-thesis-11308
Samuelian, D. Nonexistence of finite-time blow-up for the equivariant harmonic map heat flow from $B^2$ to $S^2$. ArXiv (preprint, 2026). https://doi.org/10.48550/arXiv.2606.24555
Samuelian, D. On blow-up trees for the harmonic map heat flow from $B^2$ to $S^2$. Calc. Var. 65, 238 (2026). https://doi.org/10.1007/s00526-026-03396-0
Samuelian, D. Construction of Blow-Up Solutions for the Focusing Energy-Critical Nonlinear Wave Equation in $\mathbb R^4$ and $\mathbb R^5$. Ann. Henri Poincaré (2026). https://doi.org/10.1007/s00023-026-01664-5

AWARDS

Ph.D. thesis nominated for the EPFL Mathematics Doctoral Thesis Award (MDTA).
Dean’s Award for Excellence in Teaching 2021-22, awarded by the EPFL School of Basic Sciences.
Best Overall Performance, Gymnase de Chamblandes (High School), 2015.