• Catlin's boundary systems for sums of squares domains 

      Aidoo, Nicholas (Peer reviewed; Journal article, 2023)
      For any given sum of squares domain in Cn , we reduce the complexity in Catlin's multitype techniques by giving a complete normalization of the geometry. Using this normalization result, we present a more elementary proof ...
    • On the Catlin Multitype of sums of squares domains 

      Aidoo, Nicholas (Peer reviewed; Journal article, 2022)
      For a sum of squares domain of finite D’Angelo 1-type at the origin, we show that the polynomial model obtained from the computation of the Catlin multitype at the origin of such a domain is likewise a sum of squares domain. ...
    • On the Catlin Multitype of Sums of Squares Domains 

      Aidoo, Nicholas (Journal article; Peer reviewed, 2022)
      For a sum of squares domain of finite D’Angelo 1-type at the origin, we show that the polynomial model obtained from the computation of the Catlin multitype at the origin of such a domain is likewise a sum of squares domain. ...
    • Resonances and Constructions of Fatou-Bieberbach Maps 

      Aidoo, Nicholas (Master thesis, 2016)
      We study and analyze a proof of a theorem by Rosay and Rudin on the Fatou-Bieberbach method of constructing biholomorphic images of Cn in Cn, starting with an automorphism with an attracting xed point. We thoroughly ...