About This Blog

My name is Alex Youcis, and I am a postdoc at IMPAN.

I started this blog mostly as a form of public note writing. Writing notes really helps me hammer concepts into my head. It also seems that with the hundreds of other notes I’ve taken advantage of in my mathematical lifetime, it would be nice to give back in kind.

These are the ramblings of an aspiring mathematician, and there is no guarantee that what I say will be correct, neither intuitively nor technically. I would like to stress this further. I write this blog from an authoritative perspective not necessarily because I am an expert, but because I find this narrative style to be much nicer–constantly reminding the reader that you could be wrong breaks the flow of posts. So, of course, take everything here I say with a grain of salt.

In this vein, if you ever mistakes in one of my posts, mathematical or otherwise, please let me know! I really mean this too–it would be great (albeit a bit mortifying) if I publically exposed a huge misconception on my part, which someone kindly helped me fix.

I am also an active contributor at math.stackexchange.com.

If you’d like to contact me, my email address is (firstname).(lastname)@gmail.com. You can also see my website here.



  1. Is “if you ever mistakes…” instead of “if you ever see any mistakes…” a deliberate mistake? It’s a common form of humour to make deliberate errors while discussing errors. For example, people say things like “My speling is exscellent!” Is that the type of humour you were aiming at?

    Thank You,


  2. Bravo! It’s a great idea to publish your notes in this fashion … even if I don’t understand a large fraction of them; which is why I guess you called them hard; this is more honest I think than calling them basic, elementary or foundational; I look forward to the even harder sequel ;).

  3. Pingback: 鲸落 – 停云

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