Hon To Hardy Chan

Hon To Hardy Chan is a Research Fellow at the Department of Mathematics and Computer Science at the University of Basel, Switzerland, where he works in the Research Group Lenzmann. He currently holds an SNF Ambizione Fellowship, which is a prestigious independent research grant from the Swiss National Science Foundation.

Dr. Chan earned his Ph.D. in 2018 from the University of British Columbia with a dissertation titled 'New solutions to local and non-local elliptic equations,' supervised by Juncheng Wei and Nassif Ghoussoub. Prior to this, he completed an M.Phil. in 2013 at the Chinese University of Hong Kong under Kai-Seng Chou, with a thesis on 'Convergence of bounded solutions for nonlinear parabolic equations.'

His research focuses on nonlinear partial differential equations, particularly semilinear elliptic equations, nonlocal equations, phase transitions, the Yamabe problem, nonlocal minimal surfaces, construction of solutions, singular solutions, and free boundary problems. Dr. Chan has made significant contributions to the field including the flatness of stable free boundaries, classification of stable nonlocal minimal surfaces, theory of nonlocal ODEs, fractional elliptic gluing schemes, and new boundary singular phenomena.

Analysis of his recent publications reveals a strong focus on fractional calculus and nonlocal operators, with particular attention to geometric problems, singular solutions, and boundary behavior. His work bridges pure mathematical analysis with applications in geometry and physics, demonstrating sophisticated techniques that combine classical ODE methods with modern nonlocal analysis.

Among his notable achievements is the SNF Ambizione Fellowship, which supports his independent research program. His publications in top mathematics journals reflect the significance and impact of his work in the mathematical community.

Dr. Chan teaches courses in advanced mathematics, including 'Elliptic PDEs: Theory and Applications' for the Spring semester of 2025. His research is supported by multiple prestigious fellowships including his current SNF Ambizione Fellowship, previous Severo Ochoa Postdoctoral Fellowship at ICMAT Madrid (2021-2022), and ERC Postdoctoral Fellowship at ETH Zurich (2018-2021).

He is actively involved in the mathematical research community, collaborating with prominent mathematicians across Europe and contributing to the advancement of nonlocal partial differential equations and their applications.