<font color="red"><font size=7><B>Fei Qi</B></font></font>
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<P STYLE="margin-bottom: 0in">Email: fq15 at math dot rutgers dot edu (for research) / fq15 at scarletmail dot rutgers dot edu (for teaching) / cl.volkov at rutgers dot edu (for friends) </P>
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<P STYLE="margin-bottom: 0in"> 
Research Interest: Vertex algebraic structures in Mathematics and Physics, Mathematical Constructions of Quantum Field Theory</P>
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<P> 
For Employers: <A HREF="CV.pdf">Curriculum Vitae</A>, <A HREF="research-statement-abridged.pdf">Research Statement (abridged)</A>, <A HREF="research-statement.pdf">Research Statement</A>, <A HREF="teaching-statement.pdf">Teaching Statement</A></P>
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<P STYLE="margin-bottom: 0in"> PhD thesis: Representation Theory and Cohomology Theory of Meromorphic Open-String Vertex Algebras</P>

<P>Advisor: <a href="http://sites.math.rutgers.edu/~yzhuang/">Yi-Zhi Huang</a></P>

<P>Please see <a href="http:///www.rci.rutgers.edu/~yzhuang/math/interests.html">Huang's research description </a>for motivation of studying MOSVAs.  Also please see <a href="http://scgp.stonybrook.edu/video_portal/video.php?id=566">Huang's talk in Simons Center.</a>
Please see his papers for <A HREF="https://arxiv.org/pdf/1204.1774.pdf">the definition of MOSVA</A> and for <A HREF="https://arxiv.org/pdf/1205.2977.pdf">the construction of MOVSA from Riemannian manifolds</A>. </P>

<P>Please see the <A HREF="research-statement-abridged.pdf">Abridged Research Statement</A> for a rough idea about what we managed to achieve. 
Please see the <A HREF="research-statement.pdf">Research Statement</A> for mathematically precise statements. </P>

<P> The following papers will be drawn from this my dissertation:</P>
<UL>
<LI> Fei Qi, Representation theory of meromorphic
open-string vertex algebras.</LI>
<LI> Fei Qi, On the cohomology
of meromorphic open-string vertex algebras. </LI>
<LI> Fei Qi, Meromorphic open-string vertex algebras on the sphere. </LI>
<LI> Yi-Zhi Huang, Fei Qi, The first cohomology, derivations and the reductivity of a vertex algebra </LI>
</UL>

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Other works of mathematics:
<UL>
<LI>Bud Coulson, Shashank Kanade, James Lepowsky, Robert McRae, Fei Qi, Matthew C. Russell, Christopher Sadowski, <A HREF ="https://arxiv.org/pdf/1411.2044.pdf">A motivated proof of the Göllnitz-Gordon-Andrews identities</A>, Ramanujan Journal, September 2015. 
</LI>
</UL>
Here are some works I have done in the past but need further organization to become papers. In case you are interested in any of it, please let me know. I will be happy to share my notes. 
<UL>
<LI>Classification to 2-dimensional Hom-Novikov algebras</LI>
<LI>Solutions to associative Yang-Baxter equations up to dimension 5</LI>
<LI>Construction of infinite dimensional Lie bialgebras and pre-Lie bialgebras</LI>
</UL>

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<p>Current Teaching: Nothing for Summer 2018</p>
<p>Past Courses</p>
<table border="1">
<tbody>
<tr>
<td>Semester</td>
<td>Role</td>
<td>Course and Materials</td>
<td>Number</td>
<td>
<p>Sections &amp;<br />Evaluations</p>
</td>
<td>Comments</td>
</tr>
<tr>
<td>Spring 2018</td>
<td>Online TA</td>
<td><a href="http://sites.math.rutgers.edu/~fq15/250S18">Introduction to Linear Algebra</a></td>
<td>250</td>
<td><a href="http://sites.math.rutgers.edu/~fq15/SIRS/SIRS_Spring-2018_01_640_250_05-Qi_Fei-fq15.html">5</a>, <a href="http://sites.math.rutgers.edu/~fq15/SIRS/SIRS_Spring-2018_01_640_250_06-Qi_Fei-fq15.html">6</a></td>
<td></td>
</tr>
<tr>
<td>Fall 2017</td>
<td></td>
<td>On fellowship, no teaching</td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>Summer 2017</td>
<td>Instructor</td>
<td><a href="http://sites.math.rutgers.edu/~fq15/311Su17">Introduction to Real Analysis I</a></td>
<td>311</td>
<td><a href="http://sites.math.rutgers.edu/~fq15/SIRS/SIRS_Summer-2017_01_640_311_T6-Qi_Fei.html">T6</a></td>
<td>Most up-to-date course notes</td>
</tr>
<tr>
<td>Spring 2017</td>
<td>TA</td>
<td><a href="http://sites.math.rutgers.edu/~fq15/244S17">Differential Equations for Science and Engineering</a></td>
<td>244</td>
<td><a href="http://sites.math.rutgers.edu/~fq15/SIRS/SIRS_Spring-2017_01_640_244_20-Qi_Fei.html">20</a>, <a href="http://sites.math.rutgers.edu/~fq15/SIRS/SIRS_Spring-2017_01_640_244_21-Qi_Fei.html">21</a>, <a href="http://sites.math.rutgers.edu/~fq15/SIRS/SIRS_Spring-2017_01_640_244_22-Qi_Fei.html">22</a></td>
<td>Most up-to-date recitation notes</td>
</tr>
<tr>
<td>Fall 2016</td>
<td>TA</td>
<td><a href="http://sites.math.rutgers.edu/~fq15/311F16">Introduction to Real Analysis I</a></td>
<td>311</td>
<td>
<p><a href="http://sites.math.rutgers.edu/~fq15/SIRS/SIRS_Fall-2016_01_640_311_03-Qi_Fei.html">3</a>, <a href="http://sites.math.rutgers.edu/~fq15/SIRS/SIRS_Fall-2016_01_640_311_04-Qi_Fei.html">4</a></p>
</td>
<td>&nbsp;</td>
</tr>
<tr>
<td>Summer 2016</td>
<td>Instructor</td>
<td><a href="http://sites.math.rutgers.edu/~fq15/311Su16">Introduction to Real Analysis I</a></td>
<td>311</td>
<td><a href="http://sites.math.rutgers.edu/~fq15/SIRS/SIRS_Summer-2016_01_640_311_T6-Qi_Fei.html">T6</a></td>
<td>&nbsp;</td>
</tr>
<tr>
<td>Spring 2016</td>
<td>TA</td>
<td><a href="http://sites.math.rutgers.edu/~fq15/311S16">Introduction to Real Analysis I</a></td>
<td>311</td>
<td><a href="http://sites.math.rutgers.edu/~fq15/SIRS/SIRS_Spring-2016_01_640_311_H1-Qi_Fei.html">H1</a>, <a href="http://sites.math.rutgers.edu/~fq15/SIRS/SIRS_Spring-2016_01_640_311_02-Qi_Fei.html">2</a></td>
<td>&nbsp;</td>
</tr>
<tr>
<td>Fall 2015</td>
<td>Online TA</td>
<td><a href="http://sites.math.rutgers.edu/~fq15/421F15">Advanced Calculus for Engineering</a></td>
<td>421</td>
<td><a href="http://sites.math.rutgers.edu/~fq15/SIRS/SIRS_Fall-2015_01_640_421_01-Qi_Fei.html">1</a>, <a href="http://sites.math.rutgers.edu/~fq15/SIRS/SIRS_Fall-2015_01_640_421_02-Qi_Fei.html">2</a></td>
<td>&nbsp;</td>
</tr>
<tr>
<td>Summer 2015</td>
<td>Instructor</td>
<td><a href="http://sites.math.rutgers.edu/~fq15/244Su15">Differential Equations for Science and Engineering</a></td>
<td>244</td>
<td><a href="http://sites.math.rutgers.edu/~fq15/SIRS/SIRS_Summer-2015_01_640_244_C1-Qi_Fei.html">C1</a></td>
<td>Most up-to-date course notes</td>
</tr>
<tr>
<td>Spring 2015</td>
<td>TA</td>
<td><a href="http://sites.math.rutgers.edu/~fq15/244S15">Differential Equations for Science and Engineering</a></td>
<td>244</td>
<td><a href="http://sites.math.rutgers.edu/~fq15/SIRS/SIRS_Spring-2015_01_640_244_23-Qi_Fei.html">23</a>, <a href="http://sites.math.rutgers.edu/~fq15/SIRS/SIRS_Spring-2015_01_640_244_24-Qi_Fei.html">24</a>, <a href="http://sites.math.rutgers.edu/~fq15/SIRS/SIRS_Spring-2015_01_640_244_25-Qi_Fei.html">25</a></td>
<td>&nbsp;</td>
</tr>
<tr>
<td>Fall 2014</td>
<td>TA</td>
<td><a href="http://sites.math.rutgers.edu/~fq15/244F14">Differential Equations for Science and Engineering</a></td>
<td>244</td>
<td><a href="http://sites.math.rutgers.edu/~fq15/SIRS/SIRS_Fall-2014_01_640_244_09-Qi_F.html">9</a>, <a href="http://sites.math.rutgers.edu/~fq15/SIRS/SIRS_Fall-2014_01_640_244_10-Qi_F.html">10</a>, <a href="http://sites.math.rutgers.edu/~fq15/SIRS/SIRS_Fall-2014_01_640_244_11-Qi_F.html">11</a></td>
<td>&nbsp;</td>
</tr>
<tr>
<td>Summer 2014</td>
<td>Instructor</td>
<td><a href="http://sites.math.rutgers.edu/~fq15/135Su14">Calculus I</a></td>
<td>135</td>
<td><a href="http://sites.math.rutgers.edu/~fq15/SIRS/SIRS_Summer-2014_01_640_135_C6-Qi_Fei.html">C6</a></td>
<td>Most up-to-date course notes</td>
</tr>
<tr>
<td>Spring 2014</td>
<td>TA</td>
<td><a href="http://sites.math.rutgers.edu/~fq15/244S14">Differential Equations for Science and Engineering</a></td>
<td>244</td>
<td><a href="http://sites.math.rutgers.edu/~fq15/SIRS/SIRS_Spring-2014_01_640_244_08-Qi_Fei.html">8</a>, <a href="http://sites.math.rutgers.edu/~fq15/SIRS/SIRS_Spring-2014_01_640_244_09-Qi_Fei.html">9</a>, <a href="http://sites.math.rutgers.edu/~fq15/SIRS/SIRS_Spring-2014_01_640_244_10-Qi_Fei.html">10</a></td>
<td>&nbsp;</td>
</tr>
<tr>
<td>Fall 2013</td>
<td>TA</td>
<td><a href="http://sites.math.rutgers.edu/~fq15/244F13">Differential Equations for Science and Engineering</a></td>
<td>244</td>
<td><a href="http://sites.math.rutgers.edu/~fq15/SIRS/SIRS_Fall-2013_01_640_244_01-Qi_Fei.html">1</a>, <a href="http://sites.math.rutgers.edu/~fq15/SIRS/SIRS_Fall-2013_01_640_244_02-Qi_Fei.html">2</a>, <a href="http://sites.math.rutgers.edu/~fq15/SIRS/SIRS_Fall-2013_01_640_244_03-Qi_Fei.html">3</a></td>
<td>&nbsp;</td>
</tr>
</tbody>
</table>
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In case you are used to my old webpage, here is the <A HREF="index(171101).html">link</A>. But preferably you can alert me when you find any of the above links fail. 
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<p>Fei Qi<br />Room 624, Hill Center<br />Department of Mathematics<br />Rutgers University<br />110 Frelinghuysen Road<br />Piscataway, NJ USA 08854</p>
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