Current Appointments & Affiliations
Phillip Griffiths Assistant Research Professor of Mathematics
·
2024 - Present
Mathematics,
Trinity College of Arts & Sciences
Assistant Research Professor of Mathematics
·
2024 - Present
Mathematics,
Trinity College of Arts & Sciences
Recent Publications
Gradient estimates for the conductivity problem with imperfect bonding interfaces
Journal Article Journal Fur Die Reine Und Angewandte Mathematik · January 1, 2026 We study the field concentration phenomenon between two closely spaced perfect conductors with imperfect bonding interfaces of low conductivity type. The boundary condition on these interfaces is given by a Robin-type boundary condition. We discover a new ... Full text CiteAsymptotics of the solution to the perfect conductivity problem with p-Laplacian
Journal Article Mathematische Annalen · December 1, 2024 We study the perfect conductivity problem with closely spaced perfect conductors embedded in a homogeneous matrix where the current-electric field relation is the power law J=σ|E|p-2E. The gradient of solutions may be arbitrarily large as ε, the ... Full text CiteGradient estimates for singular p-Laplace type equations with measure data
Journal Article Journal of the European Mathematical Society · January 1, 2024 We are concerned with interior and global gradient estimates for solutions to a class of singular quasilinear elliptic equations with measure data, whose prototype is given by the p-Laplace equation −Δpu=μ with p∈(1,2). The cases when p∈(2−n1,2) and p∈(2 ... Full text CiteEducation, Training & Certifications
Brown University ·
2024
Ph.D.