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<TITLE> Math 526: Algebraic Geometry</TITLE>

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<b>Math 526: Algebraic Geometry (Spring 2018) </b>

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<p><b> Tuesday and Thursday 8:30 - 9:45 am in SAS 1108  </b></p>

<p><b>Instructor:</b> Cynthia Vinzant (3260 SAS, <a
href="mailto:clvinzan@ncsu.edu">email</a>) <br>
<b>Offce Hours:</b>Tuesday, Wednesday 1-2pm or by appointment <br>
<b> Textbook:</b> B. Hassett, <i>Introduction to Algebraic Geometry</i>, Cambridge University Press (<a href="https://www.math.brown.edu/~bhassett/CAGbook/erratapub2.pdf">errata</a>)<br>
<a href="Math526_Syllabus.pdf"><b>Syllabus</b></a></p>

<p><b> Exams:</b> There will be an in-class midterm on Thursday, March 1 and a take home final due Thursday, May 3. <br>
<a href="midtermSol.pdf">Midterm Solutions</a>


<p><b> Homework:</b>
Homework will be assigned weekly and due at the beginning of class on Thursday, unless explicitly stated otherwise.
Pdf and tex versions will be posted here.  <br>
<a href="hwhowto.pdf">Here</a> are guidelines for
writing up your homework (prepared by Seth Sullivant). <br> <br>
Homework 1 (<a href="526hw1.pdf">.pdf</a> <a href="526hw1.tex">.tex</a>) due Tuesday, January 23 (with snow delay)<br>
Homework 2 (<a href="526hw2.pdf">.pdf</a> <a href="526hw2.tex">.tex</a>) due Thursday, February 1<br>
Homework 3 (<a href="526hw3.pdf">.pdf</a> <a href="526hw3.tex">.tex</a>) due Thursday, February 8<br>
Homework 4 (<a href="526hw4.pdf">.pdf</a> <a href="526hw4.tex">.tex</a>) due Thursday, February 15<br>
Homework 5 (<a href="526hw5.pdf">.pdf</a> <a href="526hw5.tex">.tex</a>) due Thursday, February 22<br>
Homework 6 (<a href="526hw6.pdf">.pdf</a> <a href="526hw6.tex">.tex</a>) due Thursday, March 22<br>
Homework 7 (<a href="526hw7.pdf">.pdf</a> <a href="526hw7.tex">.tex</a>) due Thursday, March 29<br>
Homework 8 (<a href="526hw8.pdf">.pdf</a> <a href="526hw8.tex">.tex</a>) due Thursday, April 5<br>
Homework 9 (<a href="526hw9.pdf">.pdf</a> <a href="526hw9.tex">.tex</a>) due Thursday, April 12<br>
Homework 10 (<a href="526hw10.pdf">.pdf</a> <a href="526hw10.tex">.tex</a>) due Thursday, April 19<br>
Homework 11 (<a href="526hw11.pdf">.pdf</a> <a href="526hw11.tex">.tex</a>) due Thursday, April 26<br>
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Final Exam (<a href="526final.pdf">.pdf</a> <a href="526final.tex">.tex</a>) due Thursday, May 3<br>


<p><b> Software </b> <br>
<a href="http://www.math.uiuc.edu/Macaulay2/">Macaulay2</a>  (<a href="Examples.m2">Examples from class</a>) <br>
<a href="http://www.maplesoft.com/support/help/Maple/view.aspx?path=Groebner">Maple</a> <br>
<a href="https://www.singular.uni-kl.de/">Singular</a> (<a href="https://www.singular.uni-kl.de:8003/">try online</a>) <br>
<a href="https://reference.wolfram.com/language/tutorial/AlgebraicOperationsOnPolynomials.html">Mathematica</a> <br> 


<p><b> Extra resources and reading </b> <br>
<a
href="https://reserves.lib.ncsu.edu/?cmd=viewReserve&reserveId=386752">Ideals,
Varieties, and Algorithms</a>, by Cox, Little, and O'Shea<br>

<a href="https://math.berkeley.edu/~bernd/what-is.pdf">What is a
Grobner Basis?</a>, by Bernd Sturmfels <br>