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
Asymptotics 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 distance b ... 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 CiteThe Insulated Conductivity Problem with p-Laplacian
Journal Article Archive for Rational Mechanics and Analysis · October 1, 2023 We study the insulated conductivity problem with closely spaced insulators embedded in a homogeneous matrix where the current-electric field relation is the power law J= | E| p-2E . The gradient of solutions may blow up as ε , the distance between insulato ... Full text CiteEducation, Training & Certifications
Brown University ·
2024
Ph.D.