viii CONTENTS 2.14 What Goes On at Faculty Meetings? . . . . . . . . . . . . . . 43 2.15 Serving as a Mentor . . . . . . . . . . . . . . . . . . . . . . . . 45 2.16 Undergraduate Advising . . . . . . . . . . . . . . . . . . . . . 46 2.17 Graduate Advising . . . . . . . . . . . . . . . . . . . . . . . . 47 2.18 Your Role in the Professional Societies . . . . . . . . . . . . . 48 2.19 Translators . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 2.20 Is Mathematics Just a Service Department? . . . . . . . . . . 51 3 Sticky Wickets 57 3.1 How to Deal with a Sequence of One-Year Jobs . . . . . . . . 58 3.2 What to Do If You Cannot Get Along with a Colleague . . . . 59 3.3 What to Do If You Cannot Get Along with Your Students . . 62 3.4 What to Do with a Problem Graduate Student . . . . . . . . . 63 3.5 Jobs in Industry . . . . . . . . . . . . . . . . . . . . . . . . . . 65 3.6 What Do People in Industry and Government Do? . . . . . . . 67 3.7 What About Tenure? . . . . . . . . . . . . . . . . . . . . . . . 69 3.8 Sex and the Single Mathematician . . . . . . . . . . . . . . . . 70 3.9 First Kill All the Lawyers . . . . . . . . . . . . . . . . . . . . 72 3.10 The Two-Body Problem . . . . . . . . . . . . . . . . . . . . . 73 II Living the Life 77 4 Research 79 4.1 What Is Mathematical Research? . . . . . . . . . . . . . . . . 80 4.2 How to Do Mathematical Research . . . . . . . . . . . . . . . 82 4.3 How to Establish a Research Reputation . . . . . . . . . . . . 85 4.4 Seminars . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87 4.5 Writing Papers . . . . . . . . . . . . . . . . . . . . . . . . . . 89 4.6 Writing Books . . . . . . . . . . . . . . . . . . . . . . . . . . . 92 4.7 Working on Your Own . . . . . . . . . . . . . . . . . . . . . . 94 4.8 Working in Collaboration . . . . . . . . . . . . . . . . . . . . . 96 4.9 Publishing Papers . . . . . . . . . . . . . . . . . . . . . . . . . 98 4.10 Being a Referee . . . . . . . . . . . . . . . . . . . . . . . . . . 99 4.11 How to Apply for a Grant . . . . . . . . . . . . . . . . . . . . 101 4.12 How to Give a Talk . . . . . . . . . . . . . . . . . . . . . . . . 105 4.13 Graduate Teaching . . . . . . . . . . . . . . . . . . . . . . . . 110 4.14 Directing a Ph.D. Thesis . . . . . . . . . . . . . . . . . . . . . 112
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