1. Your title goes here Your name(s) Your institution(s) NSF grant DMS-1005140 Your advisor(s) Your advisor’s institution(s)

2. Outline To provide an outline, or not? Most people do. Why be the same as most people?

3. Some tips Think about the story you want your presentation to tell. Prepare a “crisp” beginning – get the audience’s attention with a question, an anecdote… Less is more on slides (particularly text) Pictures and graphs can convey your story well.

4. Some (more) tips First draft: basic is best. Use animation wisely! –Focus audience’s attention –Indicate process (rather than outcome of process) Limit the amount of text on each slide. Your audience will understand complicated definitions and ideas more easily if you illustrate them through well-chosen examples.

5. 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 G H 1 25 34 1 2 3

6. Formatting Tips Dark background; light-colored text and pictures Be consistent –same color for titles of slides throughout presentation –Similar colors for similar objects (e.g. graphs) –Same text type (e.g. Arial, Times New Roman) Mathematical expressions: text should be italizicized, all items presented “nicely”

7. Graham’s Conjecture (Proof)

8. Elements to include… Title slide Words or slide providing overview (outline) of presentation Relevant definitions (may be scattered throughout) Body of presentation (Open Questions – when applicable) (References – debatable) Acknowledgements (if any)

9. Powerpoint-Specific Tips Formatting background and color scheme Using the “notes” feature Printing options (conserve!) Drawing tools Animation Inserting mathematical equations We’ll work through these by example.