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Polynomial Methods and Incidence Theory
Hardback
Main Details
Title |
Polynomial Methods and Incidence Theory
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Authors and Contributors |
By (author) Adam Sheffer
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Series | Cambridge Studies in Advanced Mathematics |
Physical Properties |
Format:Hardback | Pages:260 | Dimensions(mm): Height 235,Width 157 |
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Category/Genre | Algebra Geometry |
ISBN/Barcode |
9781108832496
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Classifications | Dewey:511.6 |
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Audience | Tertiary Education (US: College) | |
Illustrations |
Worked examples or Exercises; Worked examples or Exercises
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Publishing Details |
Publisher |
Cambridge University Press
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Imprint |
Cambridge University Press
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Publication Date |
24 March 2022 |
Publication Country |
United Kingdom
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Description
The past decade has seen numerous major mathematical breakthroughs for topics such as the finite field Kakeya conjecture, the cap set conjecture, Erdos's distinct distances problem, the joints problem, as well as others, thanks to the introduction of new polynomial methods. There has also been significant progress on a variety of problems from additive combinatorics, discrete geometry, and more. This book gives a detailed yet accessible introduction to these new polynomial methods and their applications, with a focus on incidence theory. Based on the author's own teaching experience, the text requires a minimal background, allowing graduate and advanced undergraduate students to get to grips with an active and exciting research front. The techniques are presented gradually and in detail, with many examples, warm-up proofs, and exercises included. An appendix provides a quick reminder of basic results and ideas.
Author Biography
Adam Sheffer is Mathematics Professor at CUNY's Baruch College and the CUNY Graduate Center. Previously, he was a postdoctoral researcher at the California Institute of Technology. Sheffer's research work is focused on polynomial methods, discrete geometry, and additive combinatorics.
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