Pamela Gorkin facts for kids
Pamela Gorkin is an American mathematician. She studies special areas of math called complex analysis and operator theory. These fields deal with complex numbers and mathematical operations. She is a professor of mathematics at Bucknell University.
Contents
Becoming a Mathematician
Pamela Gorkin went to Michigan State University. She earned two degrees in statistics in 1976. Statistics is about collecting and understanding data. After that, she decided to study pure mathematics. She got her Ph.D. (a very high degree) in math in 1982. Her main research paper was about "Decompositions of the Maximal Ideal Space of L".
In 1982, she started teaching at Bucknell University. She became a professor there. From 2001 to 2004, she held a special title called Presidential Professor.
Books She Has Written
Pamela Gorkin has written several math books. These books help students learn about different math topics.
Reading, Writing, and Proving
With Ulrich Daepp, she wrote a textbook called Reading, Writing, and Proving: A Closer Look at Mathematics. This book helps college students learn how to think and write like mathematicians. It teaches them how to create and prove mathematical ideas. The first edition came out in 2003, and a second one in 2011.
Finding Ellipses
She also co-wrote a book called Finding Ellipses: What Blaschke Products, Poncelet’s Theorem, and the Numerical Range Know about Each Other. She wrote this book with Ulrich Daepp, Andrew Shaffer, and Karl Voss. It was published in 2018.
What is "Finding Ellipses" About?
This book explores interesting connections between different math ideas. It links something called Blaschke products, Poncelet's closure theorem, and the numerical range of matrices.
- Blaschke Products: These are special math rules that map (or move) points within a circle in the complex plane. The book looks at specific Blaschke products. These products make three points on the circle for every one point.
- Triangles and Ellipses: These three points form triangles. All these triangles fit inside the circle. What's cool is that they also perfectly wrap around an ellipse. An ellipse is like a stretched circle.
- Poncelet's Theorem: This idea is described by Poncelet's theorem. It talks about many shapes that fit inside one curve and around another.
- Numerical Range: The ellipse found in the book is the edge of something called the numerical range. This range is a region where you can find the eigenvalues of a matrix. Eigenvalues are special numbers linked to matrices. In this case, the eigenvalues are at the foci (special points) of the ellipse.
The book tells a "story of discovery." It shows how these different math ideas are connected. It also suggests new areas for mathematicians to research.
Awards and Recognition
Pamela Gorkin has received several important awards for her work and teaching.
In 2018, she was chosen to give the AWM/MAA Falconer Lecturer lecture. This is a special talk given by a distinguished woman mathematician. Her lecture was titled "Finding Ellipses," which was also the topic of one of her books.
She has also won awards for her excellent teaching. These include Bucknell's Lindback Award for Distinguished Teaching. She also received the Crawford Distinguished Teaching Award from the Mathematical Association of America.
