معرفی
Dr. Alexander Fauck serves as a Researcher at Humboldt University of Berlin within the Faculty of Mathematics and Natural Sciences and Institute of Mathematics, actively contributing to the Differential Geometry and Global Analysis research group.
His research spans interconnected domains including Analysis, differential geometry, topology, dynamical systems, symplectic geometry, and contact geometry. This work emphasizes topological methods applied to geometric structures, particularly through advanced homology theories. His investigations focus on Hamiltonian dynamics, manifold classifications, and singularity theory, utilizing computational approaches to solve complex geometric problems.
Publication trends reveal consistent specialization in symplectic/contact geometry, evolving from foundational studies on Brieskorn manifolds (2014-2015) toward computational frameworks for tentacular hyperboloids (2020). This progression demonstrates increasing complexity in geometric structures and methodological innovation, with collaborative work expanding analytical techniques in Floer homology applications.
As a core member of the Differential Geometry and Global Analysis group, he participates in advancing geometric topology research through seminar coordination, manuscript development, and academic collaboration within Humboldt University's mathematical community.
