## Visualising modular forms

**Goal:**

Modular forms are analytic functions on the upper half plane of the complex
plane satisfying certain simple transformations and/or symmetries. They play a
prominent role in number theory.

In this project, modular forms shall be visualised. For instance, plots like
those on the wikipedia page of Klein's j-invariant shall be
produced for other modular forms.
Optionally, one could also think about 3D-plots of modular forms.

**Schedule:** To be determined.

**Supervisors:**
Gabor Wiese, Panagiotis Tsaknias.

**Difficulty level:**
Introductory/Medium.

**Tools:**
Computer algebra systems like Sage, possibly some graphics software.

**Results:**
[too be completed at the end of the project.]