معرفی
André Arroja Neves is a Professor of Mathematics at the University of Chicago's Department of Mathematics. He earned his PhD from Stanford University in 2005. His research focuses on geometric analysis, differential geometry, and minimal surfaces, particularly through variational methods and min-max theory. He has made significant contributions to the Willmore conjecture, scalar curvature, and mean curvature flow. Neves has been recognized with prestigious awards, including the Simons Investigator award (2018) and election to the American Academy of Arts and Sciences (2020). His work often involves collaboration, notably with Fernando Codá Marques. Recent research highlights include studies on minimal hypersurfaces, Weyl laws for volume spectra, and geometric flows in negatively curved manifolds.
Education:
- PhD in Mathematics, Stanford University, 2005
Research Interests:
- Geometric Analysis
- Minimal Surfaces and Variational Problems
- Min-max Theory
- Mean Curvature Flow
- Scalar Curvature and Topology
- Mathematical Relativity
Key Research Trends: Neves' publications span min-max theory applications, singularities in geometric flows, and geometric inequalities. His work bridges topology and geometry, with implications for understanding minimal surfaces in various ambient spaces. Recent articles explore the density of minimal hypersurfaces under generic metrics and equidistribution properties.
Awards:
- Simons Investigator (2018)
- American Academy of Arts and Sciences Member (2020)
Grants & Advising: While specific grants are not listed, Neves' sustained research output indicates significant funding. He has advised multiple doctoral students (not explicitly listed here), focusing on geometric analysis. His work often intersects with theoretical computer science and geometric topology.
Labs/Teams: Collaborations include joint projects with leading mathematicians like Fernando Codá Marques, Daniel Ketover, and others, reflecting a networked approach to solving complex geometric problems.
