Field of study: Geometry
Topics of doctoral theses (supervisor)
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Natural Operators on the Bundle of Cartan Connections –
graduate 2001
Field of study: Geometry, Topology and Geometric Analysis
Topics of doctoral theses (supervisor)
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Global analysis on manifolds with geometric structures –
ongoing study
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Algebraic methods in geometric analysis –
ongoing study
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Geometric Methods in Medical Imaging –
graduate 2023
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Geometric Approach to Tractography in Brain Imaging –
graduate 2023
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Geometric structures and methods in view of their applications in Mathematical Physics –
graduate 2023
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Geometric Approach to Segmentation in Diffusion Magnetic Resonance Imaging –
graduate 2020
Field of study: Geometry, Topology and Geometric Analysis
Topics of doctoral theses (supervisor)
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Cartan geometry and tractor calculus in applications. –
ongoing study
Field of study: Geometry, Topology and Global Analysis
Topics of doctoral theses (supervisor)
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Differential invariance and Lie theory –
graduate 2019
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Geometric structures invariant to symmetries –
graduate 2012
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Holonomy groups of pseudo-quaternionic-Kählerian manifolds –
graduate 2011
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Generalized planar curves and quaternionic geometries –
graduate 2007
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Symmetries of Parabolic Geometries –
graduate 2007
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Cohomology of Lie Algebras –
graduate 2004
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Generalized Geodesics –
graduate 2004
Field of study: Probability, Statistics and Mathematical Modelling
Topics of doctoral theses (supervisor)
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Expanding Transformer Models and Their Applications to Complex Urban Systems: Enhancing Model Architectures to Account for Underlying Geometry and Topology of the Spatio-Temporal Transactional Urban Data –
ongoing study
Detailed information on doctoral topics and students
