For a lecture covering the four articles you've studied, focusing on the themes of women's representation, descriptive representation, and the implications of gender quotas in politics, here's an outline for the presentation and key points for slides:

Lecture Title: "Evolving Perspectives on Gender and Political Representation"

Slide 1: Introduction

• Overview of the lecture: Exploring contemporary debates on gender representation in politics.
• Brief introduction to the key themes: Descriptive representation, substantive representation, and gender quotas.

Slide 2: Descriptive vs. Substantive Representation

• Define Descriptive Representation: Politicians elected based on their demographic characteristics matching those of their constituents.
• Define Substantive Representation: Politicians' actions in office reflecting the interests and preferences of their constituents, regardless of their own demographics.
• Discuss the relationship between the two in the context of gender representation.

Slide 3: Rethinking Women's Substantive Representation (Celis et al.)

• Summary of key points from Celis et al.'s article.
• Introduction of the concept of "critical actors" and the expansion of substantive representation beyond formal political settings.
• Discussion on the variety of actors, locations, and methods that contribute to women's substantive representation.

Slide 4: Preferable Descriptive Representatives (Dovi)

• Summary of key points from Dovi's article.
• Exploration of the criteria for selecting effective descriptive representatives for historically disadvantaged groups.