Old course material

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

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In the Spring of 2017 I taught the course on schemes. Here is the link to the course webpage.

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In the Fall of 2016 I taught the commutative algebra course Here is the link to the course webpage.

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In the Fall of 2015 I taught a topics course in algebraic geometry about Grothendieck's fundamental group. Here is the link to the course webpage.

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In the Fall of 2014 I taught Honours Linear Algebra. Here is the link to the course webpage.

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In the Spring of 2014 I taught the second part of a year long graduate course on commutative algebra and algebraic geometry. Here is the link to the course webpage.

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In the Fall of 2013 I taught a graduate course on commutative algebra and algebraic geometry. We worked through enough commutative algebra to do dimension theory for Noetherian local rings and finite type algebras over fields. After that we worked through the proof of Riemann-Roch in the book by van der Waerden on Algebra. In the last remaining couple of weeks we discussed schemes. Here is the link to the course webpage.

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In the Spring of 2012 I taught a course on algebraic geometry. The goal was to get far enough to be able to start proving some results on linear systems on curves. Take a look at its webpage for more information.

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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 class notes, written by Thibaut Pugin, Zachary Maddock, and Min Lee. Moreover, these have been 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. 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. These formed the basis for the chapter on commutative algebra of the Stacks project. 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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A long time ago (before or in 2005), I taught 18.702 at MIT. Links: webpage.

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A long time ago (before or in 2005) I taught 18.701 at MIT. Links: webpage, Material, final3.dvi.

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