Ma 148a: Geometric and Categorical Information Theory

Fall 2021, Caltech Math Department, Monday-Wednesday-Friday 11:00 - 11:55 am, Room (to be assigned), Instructor: Matilde Marcolli

(Regina Valluzzi, "Structure Evolution", ca 2010)

Brief Course Description

This class will present various ways in which geometry and physics play a role in information theory. Topics will include information geometry; algebraic and categorical structures of entropy; geometric aspects of quantum information; methods of statistical physics in coding theory; quantum field theory methods in the theory of computation.


Slides of classes will be added here: (more slides will be added)

Summary of Lectures

A brief summary of the material covered in each lecture will be posted here

Suggested readings: Books

The class has no official textbook, but there are some useful reference books

Additional suggested readings: articles on material covered in class

Additional reading material will be added as the class progresses. Papers listed here refer to some of the material that will be covered in class:

Suggested papers for student presentations:

(more material will be added here)


Requirements for the class: one oral presentation on reading materials chosen from the list provided above (first come first serve) and attendance of (most) lectures.

Assigned student presentations:

The schedule of assigned persentations will be added here