1. Glenn Ledder Department of Mathematics University of Nebraska-Lincoln gledder@math.unl.edu Undergraduate Research in Mathematics

2. Research in Mathematics Original – can’t find the answer with Google Open-ended – not clear where to start / where to go Abstract – function properties, not formulas General – all cases considered Thorough – no loose ends Important – judged publishable by the math community

3. Undergraduate Research Original – can’t find the answer with Google Open-ended – not clear where to start / where to go somewhat Abstract somewhat General Give up Thorough and Important

4. Requirements for Success Assume enthusiasm, energy, ability Students also need –Preparation: deep background knowledge –Maturity: ability to cope with confusion More direction than grad students –Ownership: personal connection to problem As much independence as is practical –Commitment: enough time for the job