معرفی
Dr. Yannick Sire is a Professor of Mathematics and Director of Graduate Studies at the Department of Mathematics, Johns Hopkins University, affiliated with the Krieger School of Arts & Sciences. He holds a PhD from Institut National des Sciences Appliquees de Toulouse (France), with postdoctoral training at the University of Texas at Austin. His research focuses on partial differential equations, harmonic analysis, geometric analysis, and dynamical systems. Notable contributions include work on conformal geometry, fractional Laplacian operators, and nonlocal equations.
Education:
- PhD, Institut National des Sciences Appliquees de Toulouse (France), 2005
- Master's degree, Université Paul Sabatier (France), early 2000s
- Joint engineering degree (applied mathematics) and pure mathematics degree from Toulouse institutions
Research Interests:
- Nonlinear elliptic and parabolic PDEs
- Geometric flows and conformal invariants
- Fractional operators and their applications
- Free boundary problems and variational methods
- Singular solutions and regularity theory
Recent work emphasizes the interplay between geometric analysis and nonlocal equations, including studies on spinorial Yamabe problems, fractional Schrödinger operators, and critical phenomena in nonlinear heat equations. His research has implications for mathematical physics, geometric measure theory, and materials science.
Grants & Academic Roles:
- Director of Graduate Studies at JHU
- Former faculty at Aix-Marseille University (2007–2020)
- Recipient of grants supporting research in geometric analysis and PDEs
Labs/Teams: Active in JHU's Mathematics Department research groups focused on analysis and geometry, collaborating internationally on projects involving geometric PDEs and nonlocal operators.
