Updating the slides for next week's lecture about TOR and stumbled over this graph that shows the number of requests from clients (direct connections). Interestingly, Germany had the largest number of direct connections last year. This year, it's the USA with almost 20% of the users. (Source: metrics.torproject.org)
Unfortunately the isogeny volcanoes all looked like I tripped over the piping bag. Here is a part of an isogeny volcano, with the two highest levels.
Then, we remember how to do cryptography with elliptic curves, and go to curves over finite fields.
And a quick excursion into topology.
To continue with elliptic curves...
We start with a quick recap on graphs, covering e.g. k-regular graphs and graph isomorphisms.
The technical university of graz, where I am very fortunate to do my PhD, has a long history of Christmas lectures. They involve the best security bugs of all time for software security or fun explosions in chemistry. I, on the other hand, hold the last lecture in mathematical foundations of cryptography and spent yesterday somewhat successfully piping isogeny-themed cookies for the students who take this very fun seminar. Below is a more detailed perspective of what we cover- some of the cookies go to non-math friends as well ;)
