معرفی
Dr. Angela Ortega Ortega is a permanent Researcher in the Institute of Mathematics at Humboldt University of Berlin, affiliated with the Faculty of Mathematics and Natural Sciences. She is an active member of the Algebraic Geometry research group, focusing on moduli spaces and vector bundles.
Her primary research interests include:
- Geometry of moduli spaces of vector bundles on algebraic curves
- Brill-Noether theory
- Prym varieties and Abelian varieties
- Cyclic coverings and ramified coverings
- Hyperelliptic curves and trigonal constructions
Analysis of her recent publications (2018-2024) reveals a concentrated focus on Prym varieties, with 12 of 15 articles exploring their structural properties, connections to moduli spaces, and applications to curve theory. Key trends include the study of cyclic/etale coverings (7 articles), ramification effects (5 articles), and genus-2 curve specializations (4 articles). Her collaborations with H. Lange, G. Farkas, and P. Borowka dominate her output, indicating strong international research networks.
Dr. Ortega actively contributes to the academic community through organizational roles: she co-organized the Berlin-Hannover Algebraic Geometry Workshop (2023) and participates in major conferences including the Math AMSUD Workshop (2024) and XXIV Congreso Latinoamericano de Álgebra (2024). Her teaching portfolio includes core analysis courses for physicists and specialized graduate topics like Abelian Varieties and Representation Theory.
She maintains laboratory collaboration through the Algebraic Geometry research group, engaging in long-term projects on moduli spaces with international partners across Germany, France, Chile, and Mexico. Current work focuses on cyclic coverings of genus-2 curves and Prym-Torelli theorems for ramified coverings.
