6 citations · 10 across the 6 of their papers we have counts for
9 papers
Spinor representation in isotropic 3-space via Laguerre geometry
Joseph Cho, Dami Lee, Wonjoo Lee +1
We give a detailed description of the geometry of isotropic space, in parallel to those of Euclidean space within the realm of Laguerre geometry. After developing basic surface the…
Björling problem for zero mean curvature surfaces in the three-dimensional light cone
Joseph Cho, So Young Kim, Dami Lee +2
We solve the Björling problem for zero mean curvature surfaces in the three-dimensional light cone. As an application, we construct and classify all rotational zero mean curvature…
Infinite -surface in
Dami Lee, Casey Zhao
Objects with large symmetry groups have been an interest for many mathematicians. A classical question in geometry is whether a surface with certain geometric features, such as com…
Kontsevich-Zorich monodromy groups of translation covers of some platonic solids
Rodolfo Gutiérrez-Romo, Dami Lee, Anthony Sanchez
We compute the Zariski closure of the Kontsevich-Zorich monodromy groups arising from certain square tiled surfaces that are geometrically motivated. Specifically we consider three…
An infinite -surface
Dami Lee
A classical question in geometry is whether surfaces with given geometric features can be realized as embedded surfaces in Euclidean space. In this paper, we construct an immersed,…
Translation covers of some triply periodic platonic surfaces
Jayadev S. Athreya, Dami Lee
We study translation covers of several triply periodic polyhedral surfaces that are intrinsically Platonic. We describe their affine symmetry groups and compute the quadratic asymp…
Automorphisms of Abelian Varieties and Principal Polarizations
Dami Lee, Catherine Ray
The Narasimhan-Nori conjecture asks for a closed formula for the number of non-isomorphic principal polarizations of any given abelian variety. In this paper, we introduce a new al…
Geometric Realizations of Cyclically Branched Coverings over Punctured Spheres
Dami Lee
In classical differential geometry, a central question has been whether abstract surfaces with given geometric features can be realized as surfaces in Euclidean space. Inspired by…
On a triply periodic polyhedral surface whose vertices are Weierstrass points
Dami Lee
In this paper, we will construct an example of a closed Riemann surface that can be realized as a quotient of a triply periodic polyhedral surface where…