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component analysis (PCA), PageRank (well, he started me on PageRank), spectral clustering, semi-definite programming, and visualization, all with explanations that were clear, correct, and physically motivated. I’m indebted to him for this introduction. Gene H. Golub was my first Ph.D. adviser. He opened doors for me during my stint as his student. Our initial work on a least squares problem never went anywhere useful. But we soared with PageRank—literally, in fact. Gene’s stature ensured I could attend a workshop on linear algebra for the web at Schloss Dagstuhl in Germany. With a few small exceptions, everyone working on PageRank was there. It was a tremendous opportunity to learn about PageRank from the experts. Later, Gene helped me arrange a visit to the numerical analysis group at Oxford while he was on his sabbatical there. Gene was famous for claiming that becoming his student was a lifetime commitment. He died shortly into my fourth year. I’m still saddened that my tenure under him was so short. I believe he would have loved the interplay between PageRank and quadrature that developed in chapter 4. He was a great adviser. After Gene’s death, Michael Saunders graciously stepped in to fill Gene’s big shoes (both literally and figuratively). He’s done a marvelous job of guid- ing me through the end stages of a Ph.D. I’m grateful to him for his help during this difficult transition. Michael ensured that everything I did was perfect. In particular, he poured over this thesis to make it immeasurably better. There are no dangling participles or split infinitives left! Finally, we come to my family and friends. These individuals helped sup- port me throughout all the research. Let’s begin with the Fletchers. Hugh and Jane Fletcher opened their doors to me on many occasions. In one case, I was homeless and they sheltered me. In many other cases, I was hungry and they fed me (grilled filet mignon, yum!); I was thirsty and they gave me drink (California Pinot Noir and Napa Cabernet, yum yum!). Lindsey Fletcher, their daughter, also became one of my few “non-technical” friends. She wouldn’t let us talk “math” around her— and sometimes, that’s refreshing. Of course, I need to specially acknowledge Les Fletcher, their son. After living with him for four years: two in graduate school and two at Harvey Mudd College, he knows me better than almost anyone (and relishes reminding my wife he’s lived with me longer). I suspect he identified the topic of this thesis long before I settled on it. He was always there to listen to any of my crazy ideas. I often think of the Fletchers as a second family that happens to live down the street in Mountain View. Next, Debbie Heimowitz and Jason Azicri are two unique friends I had the pleasure of meeting at Stanford. They’ve been constant founts of wisdom, advice, and silliness. Anything I write about my parents is woefully inadequate for their influ- ence on me. For this thesis, this influence manifests itself at least two ways. First, Kristin Leiferman (my mother—I’ve used my parents first names) en- sured that I knew how to edit a manuscript. She helped review many of my school reports. Each was always carefully edited. Over time, I believe my writing improved as the number of edits decreased. To wit, she only xiPDF Image | ALGORITHMS FOR PAGERANK SENSITIVITY DISSERTATION
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