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