Andrew Raich
Affiliation confirmed via AI analysis of OpenAlex, ORCID, and web sources.
Professor
Also affiliated: Illinois Institute of Technology (2002); Mitchell Institute (2007–2008); Texas A&M University (2006–2007)
Faculty Researcher
Research Areas
Links
Biography and Research Information
OverviewAI-generated summary
Andrew Raich is a Professor at the University of Arkansas at Fayetteville whose research centers on mathematical analysis, particularly the study of fundamental solutions to differential operators on manifolds. His recent publications investigate these concepts on quadric manifolds, including general formulas, specific codimensional cases in complex spaces, and scenarios with nonzero eigenvalues. Raich also explores the behavior of the $\bar{\partial}$-Neumann problem on non-pseudoconvex domains, examining maximal estimates and boundary invariants related to the closed range property. His work also touches on distributions with decay and restriction problems. With 97 publications and a citation count of 419, Raich has an h-index of 12. He has a history of collaboration with Phillip S. Harrington, with whom he shares five publications.
Metrics
- h-index: 12
- Publications: 90
- Citations: 431
Selected Publications
-
Global regularity for the $$\bar{\partial }$$-Neumann problem on pseudoconvex manifolds (2026)
-
The ∂-problem on Z(q)-domains (2026)
-
The ∂-problem on Z(q)-domains (2026)
-
Geometry and Analysis of the Grusin Operator (2025)
-
Local regularity of the Bergman projection on a class of pseudoconvex domains of finite type (2025)
-
Distributions with Decay and Restriction Problems (2024)
-
Hardy Spaces and Canonical Kernels on Quadric CR Manifolds (2024)
-
Maximal Estimates for the $${\bar{\partial }}$$-Neumann Problem on Non-pseudoconvex Domains (2024)
-
The fundamental solution to □b on quadricmanifolds with nonzero eigenvalues and null variables (2023)
-
Global Gevrey vectors (2023)
-
The fundamental solution to \Box_{𝑏} on quadric manifolds with nonzero eigenvalues (2023)
-
None (2023)
-
Analysis on quadrics (2022)
-
Boundary invariants and the closed range property for ∂¯ (2022)
-
The fundamental solution to \Box_{𝑏} on quadric manifolds – Part 1. General formulas (2022)
Collaboration Network
Top Collaborators
- The fundamental solution to \Box_{𝑏} on quadric manifolds – Part 1. General formulas
- The Fundamental Solution to $$\Box _b$$ on Quadric Manifolds: Part 3. Asymptotics for a Codimension 2 Case in $${\mathbb {C}}^4$$
- Analysis on quadrics
- The fundamental solution to \Box_{𝑏} on quadric manifolds with nonzero eigenvalues
- The fundamental solution to □b on quadricmanifolds with nonzero eigenvalues and null variables
- Strong closed range estimates: necessary conditions and applications
- Boundary invariants and the closed range property for ∂¯
- Maximal Estimates for the $${\bar{\partial }}$$-Neumann Problem on Non-pseudoconvex Domains
- The ∂-problem on Z(q)-domains
- Distributions with Decay and Restriction Problems
- Global Gevrey vectors
- Geometry and Analysis of the Grusin Operator
- None
- Hardy Spaces and Canonical Kernels on Quadric CR Manifolds
- The ∂-problem on Z(q)-domains
- The ∂-problem on Z(q)-domains
- Local regularity of the Bergman projection on a class of pseudoconvex domains of finite type
- Global regularity for the $$\bar{\partial }$$-Neumann problem on pseudoconvex manifolds
- Compactness of the complex Green operator on non-pseudoconvex CR manifolds
- Global Gevrey vectors
- Hardy Spaces and Canonical Kernels on Quadric CR Manifolds
- The ∂-problem on Z(q)-domains
Similar Researchers
Based on overlapping research topics