Allen Hatcher S Homepage Cornell University

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-Nov 1, 2025, 9:18 PM

allen hatcher s homepage cornell university

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. 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 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. News directly from Cornell's colleges and centers Allen Hatcher, emeritus professor of mathematics in the College of Arts and Sciences, has been awarded the inaugural Elias M. Stein Prize for Transformative Exposition by the American Mathematical Society. The $5,000 prize will be presented at the 2025 Joint Mathematics Meetings in Seattle.

Hatcher, a geometric topologist, will receive the award for his book, “Algebraic Topology,” published in 2002 by Cambridge University Press. “Allen Hatcher’s ‘Algebraic Topology’ has transformed the teaching of this topic with its lively mix of intuition, salient examples, and formal mathematics,” according to the prize citation. “Its careful approach and spirit of fun has attracted many newcomers to the field.” The textbook is “a global classic…the source from which the majority of students worldwide have learned the subject in the last 25 years,” said Martin Bridson M.A. ’89, Ph.D. ’91, the Whitehead Professor of Pure Mathematics at the University of Oxford and the president of the Clay Mathematics Institute.

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] This is an introduction to elementary number theory from a geometric point of view, in contrast to the usual strictly algebraic approach. A large part of the book is devoted to studying quadratic forms in two variables with integer coefficients, a very classical topic going back to Fermat, Euler, Lagrange, Legendre, and Gauss, but from a...

The book has been published by the AMS in 2022 as a paperback, ISBN 978-1-4704-5611-5. See the AMS webpage for the book. Here is a nice review of the book. You can download a pdf file of the book, around 350 pages. This is a minor revision of the print version which you can find here if you would like to see that for some reason. Please send any corrections that you find to me at the email address listed on my homepage.

office: 5160 Upson Hall, Cornell University tel: 607.255.8563 | fax: 607.255.4428 first-six-letters-of-lastname at c s dot cor nell dot edu NOTE: As of May 2014, I am a senior research scientist at Allen Institute for Artificial Intelligence (AI2). Please visit my new homepage at AI2 for updated information. During Oct 2010 - Apr 2014, I was a research scientist at IBM Watson Research Center. Recent Focus: Computational Sustainability 3S or Satisfiability Solver Selector is a portfolio solver for SAT develped with my colleagues at IBM Watson and Brown University.

Unlike currently dominating portfolio solvers like SATzilla, 3S does not rely on learning a model for the runtime behavior of each SAT solver on various classes of instances (so-called empirical hardness models). Instead, it brings together ideas such as simple k-nearest neighbor recommendation and a fixed-split solver schedule, generated using the column generation technique from Integer Programming, in order to create a powerful portfolio solver. For details, see papers titled Non-Model-Based Algorithm Portfolios for SAT at SAT-2011 and Algorithm Selection and Scheduling at CP-2011.

Allen Hatcher S Homepage Cornell University

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