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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