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OverviewFull Product DetailsAuthor: Renzo Cavalieri , Hannah Markwig , Dhruv RanganathanPublisher: Birkhauser Verlag AG Imprint: Birkhauser Verlag AG Edition: 1st ed. 2023 Volume: 52 Weight: 0.308kg ISBN: 9783031394003ISBN 10: 3031394003 Pages: 159 Publication Date: 02 October 2023 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsPart I: Toric Geometry and Logarithmic Curve Counting. - 1. Geometry of Toric Varieties. - 2. Compactifying Subvarieties of Tori. - 3. Points on the Riemann Sphere. - 4. Stable Maps and Logarithmic Stable Maps. - 5. Cheat Codes for Logarithmic GW Theory. - Part II: Hurwitz Theory. - 6. Classical Hurwitz Theory and Moduli Spaces. - 7. Tropical Hurwitz Theory. - 8. Hurwitz Numbers from Piecewise Polynomials. - Part III: Tropical Plane Curve Counting. - 9. Introduction to Plane Tropical Curve Counts. - 10. Lattice Paths and the Caporaso-Harris Formula. - 11. The Caporaso-Harris Formula for Tropical Plane Curves and Floor Diagrams.ReviewsAuthor InformationRenzo Cavalieri completed his PhD at University of Utah in 2005 under the direction of Aaron Bertram. He was a postdoc at University of Michigan under the mentorship of Bill Fulton for the following three years. In 2008, he became faculty at Colorado State University where he is currently a professor in the department of mathematics. Hannah Markwig completed her PhD in 2006 at the University of Kaiserslautern in Germany, advised by Andreas Gathmann. She was a Postdoc at the Institute of Mathematics and its Applications in Minneapolis and at the University of Michigan in Ann Arbor, before she started a Juniorprofessorship at the University of Göttingen in 2008. In 2011, she moved to the University of the Saarland as a Professor, and in 2016 to the University of Tübingen. Dhruv Ranganathan completed his PhD at Yale University in 2016 under the direction of Sam Payne. He was a CLE Moore Instructor at MIT and a memberat the Institute for Advanced Study in 2017. Since 2019, he has been at the University of Cambridge, where he is currently a professor of mathematics. The authors have worked together since 2013, on several projects related to the themes discussed in this book. They have taught several courses, including at MSRI, Stockholm, and of course in Oberwolfach. In addition to their shared love of mathematics, the authors enjoy hiking, cooking, music, and the life-altering card game known as “tichu”. Tab Content 6Author Website:Countries AvailableAll regions |