About
Prof. Ingrid Bauer is a Professor at the University of Bayreuth, holding the Chair of Mathematics VIII in the Mathematical Institute. She is part of the Faculty of Mathematics, Physics, and Computer Science and collaborates closely with the research team including Prof. Fabrizio Catanese. Her research focuses on algebraic geometry, particularly complex surfaces, moduli spaces, and Hodge theory. Bauer has made significant contributions to the study of Burniat surfaces, product-quotient surfaces, and rigid complex manifolds. Her work explores geometric structures, deformation theory, and the interplay between algebraic and arithmetic aspects of surfaces.
Key research interests include the classification of algebraic surfaces, properties of rigid manifolds, and applications of Galois group actions in moduli theory. Recent publications address topics such as σ₅-equivariant syzygies, rigid product quotient varieties, and Fermat's cubic/Klein's quartic configurations. Bauer's research often bridges geometric and combinatorial methods, with implications for both pure and applied mathematical fields.
Her articles frequently analyze Kodaira dimension, Hodge structures, and automorphism groups, contributing to foundational understanding in algebraic geometry. Bauer's work is characterized by rigorous theoretical exploration and computational methods, as seen in her studies of Burniat surfaces and their moduli spaces. She also collaborates on projects involving geometric invariant theory and algorithmic approaches to surface classification.
No scientific awards are explicitly mentioned in the provided materials. Bauer’s academic leadership includes directing the Mathematics VIII group and supervising research in areas like product-quotient surfaces and rigid structures. Her contributions are further highlighted through her involvement in international mathematical conferences and publications in high-impact journals such as Inventiones Mathematicae and Mathematische Annalen.
