Work of the giants

Work of the giants

Hello mathematician! I am working my way through a curious monologue: Groups acting on Graphs (by Dicks & Dunwoody). Dunwoody is one of the giants of Group Theory and low dimensional topology. His style of writing is reminiscent of Serre (another stalwart in this...
Shapes and Measure 1 – let us divide!

Shapes and Measure 1 – let us divide!

This is a part of Thousand Flowers Pre-Olympiad lectures at Cheenta. It is an experiment to teach percentage arithmetic, euclidean geometry, rational and irrationals and computational software tools in an interdisciplinary manner. We extensively used GeoGebra and plan...
Homework, Duality, Euler Number and Cheenta this week!

Homework, Duality, Euler Number and Cheenta this week!

Hello mathematician! I do not like homework. They are boring ‘to do’ and infinitely more boring to ‘create and grade’. I would rather read Hilbert’s ‘Geometry and Imagination’ or Abanindranath’s ‘Khirer Putul’ at that time. Academy Award winner Michael...
Why is it interesting to laminate a genus-2 surface?

Why is it interesting to laminate a genus-2 surface?

We are interested to understand the structure of a group G (is it abelian, or a product of abelian groups, or a free group of some kind etc.). In general, this is a (very) hard question. One strategy is to let G act on some well known (topological) space. Often by...