I am currently working through the book on <a href="http://books.google.de/books/about/Young_Tableaux.html?id=cYA_RpBLJUkC&redir_esc=y">Young Tableaux</a> by Fulton, and I find it a very nice read - in a prose ((Attention Nikolai: Do <b>not</b> touch this book.)) kind of way. As you might notice from the general sound of it, I am getting into representation theory. However, this book is more about the combinatorical aspects of the field. Since combinatorics is a very hands-on kind of math, I really think I should do a certain amount of exercises. I am only skimming through the book since ultimately, I want to get back to abstract nonsense really bad, but I will write down my solutions for any exercise I do ((I know that the book already contains <em>"solutions"</em>, but I'd rather call them <em>"hints"</em>.)) . <a href="https://blag.nullteilerfrei.de/2012/04/03/young-tableaux/#more-612" class="more-link">Do you want to know more?</a>
I am writing this blag post from the <a href="http://www.math-conf.uni-hannover.de/spp1489/index.php" target="_blank">second annual meeting of the DFG priority programme SPP1489</a> (algorithmic and experimental methods in algebra, geometry and number theory). Apart from having a lot of fun, I am catching up on the recent developments in open-source computer algebra software. <a href="https://blag.nullteilerfrei.de/2012/02/29/open-source-computeralgebra-2012/#more-422" class="more-link">Do you want to know more?</a>
I handed in my <a href='/wp-content/uploads/2012/02/diplomarbeit.pdf'>diplom thesis</a> today. I'm fairly proud of it, and I am also quite fond of the layout. So, if anyone finds it quite appealing, I am gladly willing to share the LaTeX. Note that although it has (to have) a German introduction, it is written in English.
The term *ramification* was the one that had befuddled me longer than most others, in my studies of algebraic geometry. Let's take a morphism $\pi:Y\to X$ of schemes, and let us assume that it is finite and surjective. We will call a morphism of this kind a **covering** and although I am not sure whether this terminology is standard, I think it's very appropriate. Here, I document some notes I took to connect the various results from several books I know. It helped me to get a better idea and better tools to work with coverings. <a href="https://blag.nullteilerfrei.de/2012/01/26/ramification/#more-325" class="more-link">Do you want to know more?</a>