Clark University Digital Commons I Faculty Works I Mathematics | Faculty Works by Department and/or School | Clark University
Mathematics

Mathematics

 

Follow

Submissions from 2025

Link

Boundary Behavior of Compact Manifolds With Scalar Curvature Lower Bounds and Static Quasi-Local Mass of Tori, Aghil Alaee, Pei Ken Hung, and Marcus Khuri

Link

Singular solutions for the conformal Dirac-Einstein problem on the sphere, Ali Maalaoui, Vittorio Martino, and Tian Xu

Submissions from 2024

Link

A Quasi-Local Mass, Aghil Alaee

Link

Multiplicity of singular solutions to the fractional Yamabe problem on spheres, Renato G. Bettiol, María del Mar González, and Ali Maalaoui

Link

Plasma density distribution and its perturbation by probes in axially symmetrical plasma, Valery Godyak and Natalia Sternberg

PDF

Singular CR structures of constant Webster curvature and applications, Chiara Guidi, Ali Maalaoui, and Vittorio Martino

Link

Q¯′-curvature flow on pseudo-Einstein CR manifolds, Ali Maalaoui and Vittorio Martino

Submissions from 2023

Link

Obstructions to distinguished Riemannian metrics via Lorentzian geometry, Amir Babak Aazami

PDF

Finsler pp-waves and the penrose limit, Amir Babak Aazami, Miguel Ángel Javaloyes, and Marcus C. Werner

Link

Killing vector fields on Riemannian and Lorenztian 3-manifolds, Amir Babak Aazami and Robert Ream

Link

A Penrose-Type Inequality with Angular Momenta for Black Holes with 3-Sphere Horizon Topology, Aghil Alaee and Hari Kunduri

Link

A localized spacetime Penrose inequality and horizon detection with quasi-local mass, Aghil Alaee, Martin Lesourd, and Shing Tung Yau

Link

Conformal Dirac–Einstein equations on manifolds with boundary., William Borrelli, Ali Maalaoui, and Vittorio Martino

PDF

Energy extraction, or lack thereof, Nishanth Gudapati

Link

Cohomogeneity one central Kähler metrics in dimension four, Thalia Jeffres, Gideon Maschler, and Robert Ream

Link

LOGARITHMIC HARDY–LITTLEWOOD–SOBOLEV INEQUALITY ON PSEUDO-EINSTEIN 3-MANIFOLDS AND THE LOGARITHMIC ROBIN MASS, Ali Maalaoui

PDF

Prescribing the Q¯ ′ -curvature on pseudo-Einstein CR 3-manifolds, Ali Maalaoui

PDF

Function spaces via fractional Poisson kernel on Carnot groups and applications, Ali Maalaoui, Andrea Pinamonti, and Gareth Speight

Link

Cohomogeneity one Kähler-Ricci solitons under a Heisenberg group action and related metrics, G. Maschler and Robert Ream

PDF

Exact parallel waves in general relativity, Cian Roche, Amir Babak Aazami, and Carla Cederbaum

Submissions from 2022

Link

Almost Kähler metrics and pp-wave spacetimes, Amir Babak Aazami and Robert Ream

Link

A Minkowski Inequality for Horowitz–Myers Geon, Aghil Alaee and Pei Ken Hung

Link

The Positive Energy Theorem for Asymptotically Hyperboloidal Initial Data Sets with Toroidal Infinity and Related Rigidity Results, Aghil Alaee, Pei Ken Hung, and Marcus Khuri

Link

Weighted extremal Kähler metrics and the Einstein–Maxwell geometry of projective bundles, Vestislav Apostolov, Gideon Maschler, and Christina W. Tønnesen-Friedman

Link

Morse–Floer theory for superquadratic Dirac-geodesics, Takeshi Isobe and Ali Maalaoui