| Name: | Ava Ostrem |
|---|---|
| Email: | ava.ostrem (at) rutgers.edu |
| Office: | CoRE 448 |
| Home Institution: | Rutgers University - New Brunswick |
| Project: | Compactness in the Mathematical Universe |
| Mentor: | Prof. Filippo Calderoni |
About My Project
Large cardinals axioms postulate the existence of combinatorial properties of infinity. These axioms are far beyond the usual axioms of mathematics and expand the burden of the mathematical universe. A well-studied consequence of large cardinal axioms is compactness. Compactness denotes the extent to which mathematical structures are determined by their local behavior. We will examine some famous compactness properties for algebraic structures and investigate new ones.
Research Log
Week 0: May 27-May 30
I'm going to start counting the weeks at zero to keep in the set theory theme. We moved in to the dorms on Tuesday and had orientation on Wednesday. I started reading Chapter II of Ekler and Metlof's Almost Free Modules for some set theory background. I also set up my website on Friday and felt very accomplished for 'shelling into the server'.
References & Links
Here are the papers and books I have read for my project:- Almost Free Modules, Ekler and Metlof