2 citations · 2 across the 6 of their papers we have counts for
11 papers
Transverse-freeness in finite geometries
Charlie Bruggemann, Vera Choi, Brian Freidin +1
We study projective curves and hypersurfaces defined over a finite field that are tangent to every member of a class of low-degree varieties. Extending 2-dimensional work of Asgarl…
Fast winning strategies in a generalized van der Waerden game
Hannah Alpert, Liam Barham, Brian Freidin +2
Consider the following Maker-Breaker game. Fix a finite subset of the naturals. The players Maker and Breaker take turns choosing previously unclaimed natural…
Balanced homogeneous harmonic maps between cones
Brian Freidin
We study the degrees of homogeneous harmonic maps between simplicial cones. Such maps have been used to model the local behavior of harmonic maps between singular spaces, where the…
Harmonic maps between 2-dimensional simplicial complexes 2
Brian Freidin, Victoria Gras Andreu
We study metrics on two-dimensional simplicial complexes that are conformal either to flat Euclidean metrics or to the ideal hyperbolic metrics described by Charitos and Papadopoul…
On the proportion of transverse-free plane curves
Shamil Asgarli, Brian Freidin
We study the asymptotic proportion of smooth plane curves over a finite field which are tangent to every line defined over . This partially answers a q…
Harmonic maps between ideal 2-dimensional simplicial complexes
Brian Freidin, Victòria Gras Andreu
We prove existence and regularity results for energy minimizing maps between ideal hyperbolic 2-dimensional simplicial complexes. The spaces in question were introduced by Charitos…
Area Bounds for Free Boundary Minimal Surfaces in a Geodesic Ball in the Sphere
Brian Freidin, Peter McGrath
We extend to higher dimensions earlier sharp bounds for the area of two dimensional free boundary minimal surfaces contained in a geodesic ball of the round sphere. This follows wo…
A Liouville-type theorem and Bochner formula for harmonic maps into metric spaces
Brian Freidin, Yingying Zhang
We study analytic properties of harmonic maps from Riemannian polyhedra into CAT() spaces for . Locally, on each top-dimensional face of the domain, this amounts to…
A Bochner Formula for Harmonic Maps into Non-Positively Curved Metric Spaces
Brian Freidin
We study harmonic maps from Riemannian manifolds into arbitrary non-positively curved and CAT(-1) metric spaces. First we discuss the domain variation formula with special emphasis…
Free Boundary Minimal Surfaces in the Unit Ball With Low Cohomogeneity
Brian Freidin, Mamikon Gulian, Peter McGrath
We study free boundary minimal surfaces in the unit ball of low cohomogeneity. For each pair of positive integers such that and , we construct a free b…
Sharp Area Bounds for Free Boundary Minimal Surfaces in Conformally Euclidean Balls
Brian Freidin, Peter McGrath
We prove that the area of a free boundary minimal surface , where is a geodesic ball contained in a round hemisphere , is at least as big as…