Summer 2012 REU: Groups, Graphs, and Geometry

This page will help program participants keep up with ongoing activities.

Information concerning LaTeX.

• Getting started with LaTeX: where to find the software you need online
• The basics of mathematical typesetting: a LaTeX-created PDF document with many useful math symbols
• The basics of mathematical typesetting (raw code): the .tex file corresponding to the previous .pdf file
• Using LaTeX to typeset math papers: a LaTeX-created sample math article
• Using LaTeX to typeset math papers (raw code): the .tex file corresponding to the previous .pdf file
• Including graphics in LaTeX documents
• Slides for an oral presentation, created using the Beamer environment.
• Slides for an oral presentation (raw code): the .tex file corresponding to the previous .pdf file
• Links to free LaTeX compilers:
  • MiKTeX (for PCs)
  • MacTeX (for Macs)
• Link to a free LaTeX text editor: Texmaker (this editor is cross-platform, suitable for both Mac and PC)
• Link to a very helpful on-line guide for using the Beamer environment to create nice presentation slides (written by Rouben Rostamian, UMBC): A Beamer Quickstart.

Information on communicating mathematics.

• Here are some tips for delivering mathematical talks.
• Here is a guide on writing abstracts for mathematical talks.
• Here is some information on what I expect from your annotated bibliographies.
• Doing some peer review? Here are some guidelines.

Potential research problems for 2012 REU participants.

Mathematical activities.

• Set theoretical preliminaries
• Graph theory handouts:
  • graph theory, part 1
  • graph theory, part 2
  • graph theory, part 3
  • graph theory, part 4
  • your turn!: graph theoretical definitions for you to look up and present upon
• An introduction to metric geometry
• The basics of eigenvalues
• An introduction to order theory and lattices
• The basics of geometric group theory

Related "professional" activities.

• Got a handle on using MathSciNet? Test your skills with this reference scavenger hunt!
• By the end of Week Two (Friday, June 15th), you will be asked to write an annotated bibliography (see above) and a first preliminary report.

All contents © 2007-2012 Patrick Bahls, all rights reserved.