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Broad Interests: |
Several complex variables, partial differential equations, harmonic analysis, and subriemannian geometry.
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Current: |
The ∂ and ∂b equations in pseudoconvex domains, the Szegö and Bergman kernels in pseudoconvex domains with complicated boundary geometry.
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Preprints: |
A. Peterson, A Holomorphic Mean Value Theorem with Volume Estimates for Model Domains, in preparation.
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Publications: |
A. Peterson, Estimates for the Szegö Projection on Uniformly Finite-Type Subdomains of C2, Revista Matemática Iberoamericana, 34(1), 111--193, 2018. arXiv
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E. Dlugie and A. Peterson, On Uniform Large-Scale Volume Growth for the Carnot-Carathéodory Metric on Unbounded Model Hypersurfaces in C2, Involve, 11(1), 103--118, 2018. arXiv
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| A. Peterson, ∂b on Uniformly Finite-Type Domains, Ph.D. Thesis, University of Wisconsin--Madison, 2014.
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| A. Peterson, Carnot-Carathéodory Metrics in Unbounded Subdomains of C2, Archiv der Mathematik, 102(5), 437--447, 2014. arXiv
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