Noack, Dylan Patrick

Because the Riemann Mapping Theorem does not hold in several complex variables, it is of interest to fully classify the simply connected domains. By considering convex, bounded domains with noncompact automorphism groups, we can define a rescaling sequence basedon the boundary-accumulating automorphism orbit. If this orbit converges nontangentially...

Hamann, Kaylee Joy

In the field of several complex variables, one of the most important questions that remains to be answered is the voracity of the Greene-Krantz conjecture:Conjecture 0.0.1. Let D be a smoothly bounded domain in Cn. Suppose there exists {gj} ⊂ Aut(D) such that {gj(x)} accumulates at a boundary point p ∈ ∂D for some x∈D. Then ∂D is of finite type at ...

Hamann, Kaylee Joy

In the field of several complex variables, one of the most important questions that remains to be answered is the voracity of the Greene-Krantz conjecture:Conjecture 0.0.1. Let D be a smoothly bounded domain in Cn. Suppose there exists {gj} ⊂ Aut(D) such that {gj(x)} accumulates at a boundary point p ∈ ∂D for some x∈D. Then ∂D is of finite type at ...

Hamann, Kaylee Joy

In the field of several complex variables, one of the most important questions that remains to be answered is the voracity of the Greene-Krantz conjecture:Conjecture 0.0.1. Let D be a smoothly bounded domain in Cn. Suppose there exists {gj} ⊂ Aut(D) such that {gj(x)} accumulates at a boundary point p ∈ ∂D for some x∈D. Then ∂D is of finite type at ...

Hamann, Kaylee Joy

In the field of several complex variables, one of the most important questions that remains to be answered is the voracity of the Greene-Krantz conjecture:Conjecture 0.0.1. Let D be a smoothly bounded domain in Cn. Suppose there exists {gj} ⊂ Aut(D) such that {gj(x)} accumulates at a boundary point p ∈ ∂D for some x∈D. Then ∂D is of finite type at ...

Hamann, Kaylee Joy

In the field of several complex variables, one of the most important questions that remains to be answered is the voracity of the Greene-Krantz conjecture:Conjecture 0.0.1. Let D be a smoothly bounded domain in Cn. Suppose there exists {gj} ⊂ Aut(D) such that {gj(x)} accumulates at a boundary point p ∈ ∂D for some x∈D. Then ∂D is of finite type at ...

Hamann, Kaylee Joy

In the field of several complex variables, one of the most important questions that remains to be answered is the voracity of the Greene-Krantz conjecture:Conjecture 0.0.1. Let D be a smoothly bounded domain in Cn. Suppose there exists {gj} ⊂ Aut(D) such that {gj(x)} accumulates at a boundary point p ∈ ∂D for some x∈D. Then ∂D is of finite type at ...

Hamann, Kaylee Joy

In the field of several complex variables, one of the most important questions that remains to be answered is the voracity of the Greene-Krantz conjecture:Conjecture 0.0.1. Let D be a smoothly bounded domain in Cn. Suppose there exists {gj} ⊂ Aut(D) such that {gj(x)} accumulates at a boundary point p ∈ ∂D for some x∈D. Then ∂D is of finite type at ...

Hamann, Kaylee Joy

In the field of several complex variables, one of the most important questions that remains to be answered is the voracity of the Greene-Krantz conjecture:Conjecture 0.0.1. Let D be a smoothly bounded domain in Cn. Suppose there exists {gj} ⊂ Aut(D) such that {gj(x)} accumulates at a boundary point p ∈ ∂D for some x∈D. Then ∂D is of finite type at ...

Hamann, Kaylee Joy

In the field of several complex variables, one of the most important questions that remains to be answered is the voracity of the Greene-Krantz conjecture:Conjecture 0.0.1. Let D be a smoothly bounded domain in Cn. Suppose there exists {gj} ⊂ Aut(D) such that {gj(x)} accumulates at a boundary point p ∈ ∂D for some x∈D. Then ∂D is of finite type at ...