Professor A.J. de Jong, Columbia university, Department of Mathematics.
This list does not include the graduate student algebraic geometry seminar. To find a list of those, please go to this page.
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COURSES-----------------------------------------
In the Fall of 2011 I taught the course on commutative algebra. Besides quite a bit of basic commutative algebra we covered dimension theory of Noetherian rings and we proved Zariski's main theorem. The text for the course was the commutative algebra chapter of the stacks project. Take a look at its webpage for more information.
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In the Spring of 2011 I taught the course on algebraic geometry following the lecture notes by Ravi Vakil. Take a look at its webpage for more information.
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In the Fall of 2010 I taught the commutative algebra course which also covered a significant amount of algebraic geometry. Please find the original webpage on this page. The original course listing is commutative algebra.
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In the Spring 2010 semester I taught an undergraduate course on algebraic curves. Please visit its webpage to learn more.
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In the Fall 2009 I taught a topics course. The topic was etale cohomology of schemes. I worked through the chapters [Arcata] and [Rapport] of SGA 4 1/2. The class met Tuesday and Thursday from 11-12:15 in Room 307 of the Mathematics Building. There are now class notes, maintained by Thibaut Pugin et al. Moreover, these are being worked into the stacks project.
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In the Spring of 2009 I taught algebraic geometry, and in particular schemes (again, see below). See the webpage. During the semester I wrote notes on schemes which have now been incorporated into the stacks project directory. This is a moving target and I hope you will help me update it. There are also handwritten lecture notes by Qi You: Algebraic Geometry.
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In the Fall 2008 I taught commutative algebra (again, see below). As material I wrote some algebra notes. See the file entitled algebra.pdf or algebra.dvi which you can find in the following directory. This is a moving target and I hope you will help me update it. There are also handwritten lecture notes by Qi You: Commutative Algebra.
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A while ago (I think this was the academic year 2006/2007) I taught commutative algebra / algebraic geometry in the Fall / Spring as an introductory graduate course. In the first semester we went through a substantial amount of commutative algebra and in the second we used this material to build the foundations of modern algebraic geometry (schemes). Here is the link to the commutative algebra web-page and here is the webpage of the schemes part of the course.
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OLD Calculus I web-pages:
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