How to give a machine a sense of geometry? There are two aspects of what a sense is: a technical tool and an ability to learn to use it. This learning ability is essential. For example we are born with the technical ability to detect smells and throughout our lives we use and develop this sense, depending on needs and the environment around us. In this course the technical tool we introduce to describe geometry is based on homology. The main aim of the course is to explain how versatile this tool is and how to use this versatility to give a machine the ability to learn to sense geometry.

Current Information: Please do not forget that you are supposed to familiarise yourself with some material before meeting 1. Look at the Course plan or below for what you are supposed to read.

People involved in teaching the course:
- Wojtek: Wojciech Chacholski, wojtek@kth.se
- Florian Pokorny, fpokorny@kth.se
- Martina Scolamiero, scola@kth.se
Course plan (here you find information about the lectures and exercises, this is the page you will visit the most)
Grades and final projects (here you find information on how the course is graded).
Before meeting 1: Please read the following sections of the notes. Familiarity with definitions will help you in absorbing the content of the lectures and make exercise sessions more productive.
- Linear Algebra, sections 1-12
- Partitions and Distances, sections 16-56
- Distances on R^n and on sets, sections 57-64
Between meetings 1 and 2: Students form groups of 5. Each group chooses a project. You are free to choose your own project or you might use suggestions listed on this page. Each group is to prepare a 20 minutes summary of their work on the project to be presented during the second meeting of the course.
Notes. These notes contain material for the entire course and will be continuously updated.
Inspiration
Software, the stable rank software has been updated