Jochen Heinloth

Prof. Dr. Jochen Heinloth is a full Professor at the Faculty of Mathematics, University of Duisburg-Essen, where he leads a research group focused on algebraic geometry, moduli spaces, and algebraic stacks. He is actively involved in teaching, research, and seminar supervision, with a strong presence in both national and international mathematical communities.

His research interests include Algebraic Geometry, Moduli Spaces, Algebraic Stacks, Higgs Bundles, and the Geometric Langlands Program. His work bridges abstract category-theoretic constructions with concrete geometric problems, particularly in the context of bundles and representations on algebraic curves.

The most recent publications reflect a deep engagement with moduli theory, stability conditions, and geometric representation theory. Trends include the study of the P=W conjecture, support theorems for Hitchin fibrations, and structural results on algebraic stacks. His collaborations with leading mathematicians such as J. Alper, O. García-Prada, and Ngo Bao Chau highlight his central role in modern algebraic geometry.

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Prof. Heinloth advises PhD students and junior researchers, as evidenced by his long-running Seminar on Stacks, where participants present advanced topics in algebraic geometry. He has supervised talks by X. Zhang, M. Zhou, and others, indicating active mentorship. While no grants are explicitly mentioned, his sustained research output and collaborations suggest ongoing funding support. He teaches a wide range of courses, from undergraduate algebra and analysis to advanced topics like Algebraic Geometry and Stacks.

He leads the Research Group Heinloth, which organizes seminars and fosters collaboration on stacks, moduli, and related fields. The group hosts regular PhD-level seminars, often in collaboration with other researchers, and maintains a focus on both foundational and cutting-edge topics in algebraic geometry.