Allen Hatcher Department Of Mathematics Cornell University

A common thread through much of my research is the idea of studying the space of all topological objects of a certain kind, for example, the space of all finite polyhedra, the space of... Recently I have also been writing a couple of graduate-level textbooks in topology. Note: I have retired from teaching and advising students but am still active in research and writing. The best way to contact me is via email. If I do not respond in a timely fashion it is because I have nothing useful or definite to say. Book Projects Algebraic Topology This book, published in 2002, is a beginning graduate-level textbook on algebraic topology from a fairly classical point of view.

To find out more or to download it in electronic form, follow this link to the download page. Vector Bundles and K-Theory This unfinished book is intended to be a fairly short introduction to topological K-theory, starting with the necessary background material on vector bundles and including also basic material on characteristic... For further information or to download the part of the book that is written, go to the download page. Spectral Sequences I have now returned to an earlier plan of having this material be an extra chapter of the Algebraic Topology book, rather than a separate book. The current version of this chapter is here. Its main focus is the Serre spectral sequence and its applications, but there is also some coverage of the Adams spectral sequence and, more briefly, a few other spectral sequences.

In case you would like to see the older version that was planned as a separate book, this can be found on this page. Topology of Numbers This is an undergraduate-level introduction to elementary number theory from a somewhat geometric point of view, focusing on quadratic forms in two variables with integer coefficients. See the webpage for the book for more information or to download an electronic version of the book. A print version has been published by the American Math Society in 2022, but the electronic version will remain freely available here. This book, published in 2002, is a beginning graduate-level textbook on algebraic topology from a fairly classical point of view. To find out more or to download it in electronic form, follow this link to the download page.

This unfinished book is intended to be a fairly short introduction to topological K-theory, starting with the necessary background material on vector bundles and including also basic material on characteristic classes. For further information or to download the part of the book that is written, go to the download page. I have now returned to an earlier plan of having this material be an extra chapter of the Algebraic Topology book, rather than a separate book. The current version of this chapter is here. Its main focus is the Serre spectral sequence and its applications, but there is also some coverage of the Adams spectral sequence and, more briefly, a few other spectral sequences. In case you would like to see the older version that was planned as a separate book, this can be found on this page.

Allen Edward Hatcher (born October 23, 1944) is an American mathematician specializing in geometric topology. Hatcher was born in Indianapolis, Indiana.[1] After obtaining his B.A. and B.Mus. from Oberlin College in 1966,[2] he went for his graduate studies to Stanford University, where he received his Ph.D. in 1971.[1] His thesis, A K2 Obstruction for Pseudo-Isotopies, was written under the supervision of Hans Samelson.[3] Afterwards, Hatcher went to Princeton University, where he was an NSF postdoc for a year, then a lecturer for another year, and then Assistant Professor from 1973 to 1979.

He was also a member of the Institute for Advanced Study in 1975–76 and 1979–80.[1] Hatcher moved to the University of California, Los Angeles as an assistant professor in 1977. From 1983 he has been a professor at Cornell University; he is now a professor emeritus.[4] In 1978 Hatcher was an invited speaker at the International Congress of Mathematicians in Helsinki.[5] In 1983 Hatcher proved the Smale conjecture, named after Stephen Smale.[6][7] A common thread through much of my research is the idea of studying the space of all topological objects of a certain kind, for example, the space of all finite polyhedra, the space of... Recently I have also been writing a couple of graduate-level textbooks in topology.

A keynote and faculty panel on Nov. 12 will focus on how faculty can communicate their generative AI-related expectations to students, how students can take accountability for their work, and what this looks like in practice. Five professors from across campus will advocate that their discipline is the most important to save for the future in the annual Apocalypse Debate Nov. 6. Using time-delay snapshots, researchers led by mathematician Yunan Yang have introduced a new way to identify the underlying dynamics of unpredictable systems, such as the atmosphere and turbulent fluids. On Saturday, September 27, Professor Laurent Saloff-Coste, the Cornell Math Department historian, will give a presentation at the Cox Centennial Celebration Sept 26-27, 2025, at Howard University.

Hosted by Mat Zucker ’92, the show chronicles the joys of country living—and helps other city folk make the leap

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