Asymptotic Gridshells

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Explores computational inverse design of deployable structures and geometric computing for materials fabrication and engineering applications.

Mechanics of Kirchhoff Rods I

Explores the mechanics of slender structures, including Kirchhoff's equilibrium equations of rods and the theory of finite strain and finite rotation.

Exponential Maps: Properties and Applications in Lie Groups

Covers the properties of the exponential map in Lie groups and their algebras, including smoothness and the relationship between subgroups and algebras.

Hodge Duality and Covariant Derivatives

Introduces Hodge duality, covariant derivatives, and key concepts in differential geometry.

Analytic Manifolds and Berkovich Spaces

Introduces analytic manifolds, Berkovich spaces, and multiplicative semi-norms in K-algebras.

Surface Integrals: Implicit Surfaces

Covers implicit surfaces, parametric descriptions, regular parametrization, normal vectors, and orientable surfaces.

Analytical Geometry: Lines Study

Covers the analytical study of lines in a plane, focusing on equations and geometric interpretations.

Surface Integrals: Regular Parametrization

Covers surface integrals with a focus on regular parametrization and the importance of understanding the normal vector.

Course Recap and Asymptotic Grid Shells

Covers course recap, shape optimization, asymptotic grid shells, and differential geometry concepts.

Geometry of Surfaces in R²

Explores the geometry of surfaces in R², including implicit descriptions, critical points, and regular surfaces.