Lectures related to Moduli of algebraic curves

Covers the normalization process of plane algebraic curves, focusing on irreducible polynomials and affine curves.

Covers the calculation of areas using integrals for geometric regions defined by curves and parametric equations.

Spatial Curves: Singularities and Mechanisms

Explores spatial curves, singularities, and mechanisms, analyzing their geometric properties and applications.

Symmetric Product Orbifolds & Holography

Explores Symmetric Product Orbifolds and their relation to Holography in AdS/CFT duality, covering AdS3 Gravity, primary operators, and BPS states.

Conformal Blocks: Functions on Moduli Spaces

Covers conformal blocks and their significance in complex structures and moduli spaces.

Gothic Surfaces: Curvature, Development, and Stereotomy

Delves into the geometric principles of Gothic architecture, focusing on surface curvature and stereotomy techniques.

Advanced Analysis II: Isoclines Method

Explores the Isoclines Method and solutions of differential equations with tangents.

Curve of Genus 2: Very Ample Divisors

Explores very ample divisors on curves of genus 2 and their implications.

Approximation of Ellipses by Ovals

Explores the historical development of approximating ellipses with ovals and the challenges in machining trajectories.

Thermodynamic Formalism for Dispersing Billiards

Explores the thermodynamic formalism for dispersing billiards, covering topological entropy, weight functions, and fragmentation lemmas.

Introduction to Rhino: Surfaces and Meshes

Introduces the fundamentals of working with NURBS and surfaces in Rhino, covering tools for creating curves, surfaces, and meshes.

Covering Systems: Intellectual Property and Innovation

Covers covering systems in mathematics and the significance of intellectual property in innovation.

Double-layered Timber Plate Shell Tutorial

Covers a tutorial on creating a double-layered timber plate shell using Rhino3D and Grasshopper.

Parameterization of Curves

Explores parameterization of curves, emphasizing continuous settings and accurate curve representation through various examples.

DVR and Irreducible Plane Curves

Explores Discrete Valuation Rings and their role in irreducible plane curves.

Continuity and Limits

Covers continuity, limits, and different approaches to approaching points in various coordinate systems.

Tangent Lines and Equality

Explores the intersection multiplicity of curves and the absence of common tangent lines.

Regularity of Curves

Explores the regularity of curves over a field and the importance of specific properties for curve regularity.

Taylor Expansions: First Order

Explores Taylor expansions of first order in optimization on manifolds.

Viscoelasticity: Principles and Applications

Explores viscoelasticity in polymer materials, emphasizing time-dependent behavior and transitions in properties, and discusses Dynamic Mechanical Analysis.