<HTML> <style type="text/css"> a:link{color:black} a:visited{color: black} body{margin: 40px 60px 40px 40px;} </style> <HEAD><TITLE>Ngo Bao Chau</TITLE></HEAD> <BODY style="background:#D8D8D8E"> <font face="helvetica"> <SPAN style="color:#000001"> <img style="width: 300px; height: px;" src="uchicago-logo.png" alt=""> <P> <IMG style="margin-right:20px" class="alignleft" SRC="nbc-2015.jpg"ALT="pict" ALIGN=left HEIGHT=220> <H1>Ng Bo Chu </H1> Francis and Rose Yuen <br> Distinguished Service Professor <br><br> <a href="http://www.math.uchicago.edu/">Department of Mathematics</a><br> 5734 University Avenue<br> Chicago, IL 60637-1514, USA <br> Office: Eckhart 303 <br> Email: <a href="mailto:ngo@uchicago.edu">ngo@uchicago.edu</a><br> Phone: +1 773-702-7385 <br> <br> <H3>Preprints </H3> <ul> <li> Hankel transform, Langlands functoriality and functional equation of automorphic L-functions [<a href="takagi.pdf">takagi.pdf</a>] <li>On the Hitchin fibration for algebraic surfaces, joint work with T.H. Chen [<a href="Chen-Ngo.pdf">Chen-Ngo.pdf</a>] <li> Weierstrass preparation theorem and singularities in the space of non-degenerate arcs, [<a href="Weierstrass.pdf">Weierstrass.pdf</a>] </ul> <H3>Recent publications</H3> <ul> <li> Perverse sheaves and fundamental lemmas, published in the Proceedings of the PCMI 201 [<a href="PCMI.pdf">PCMI.pdf</a>]</li> <li> On a conjecture of Braverman anh Kazhdan, with S. Cheng , published in IRMN [<a href="BKGLn.pdf">BKGLn.pdf</a>]</li> <li> On the formal arc space of a reductive monoid, with A. Bouthier and Y. Sakellaridis [<a href="BNY.pdf">BNY.pdf</a>]</li> <li> Average size of 2-Selmer groups of elliptic curves over function fields, with Le Hung and Ho Phu Quoc [<a href="bcq.pdf">bcq.pdf</a>]</li> <li>On a certain sum of L-functions [<a href="PS.pdf">PS.pdf</a>]</li> <li>Geometrization of the trace formula, with E. Frenkel [<a href="geom.pdf">geom.pdf</a>]</li> <li>Formule des traces et fonctorialit: le dbut d'un programme, with Frenkel and Langlands [<a href="quebec.pdf">quebec.pdf</a>] </li> <li>Kloosterman sheaves for reductive groups, with J. Heinloth and Z. Yun [<a href="Kloosterman.pdf">Kloosterman.pdf</a>] </li> <li>Endoscopy theory of automorphic forms, ICM 2010 report [<a href="ICM.pdf">ICM.pdf</a>]</li> <li>Le lemme fondamental pour les algbres de Lie [<a href="LF.pdf">LF.pdf</a>]</li> <li> <a href="Eprints.html">more</a></li> </ul> <H3 >Selected presentations</H3> <ul> <li>Leonardo Da Vinci Lecture 2013 :&nbsp; Arithmetic of certain integrable systems [<a href="Milan.pdf">Milan.pdf</a>]<br></li> <li>ICM in Hyderabad 2010 : Endoscopy theory of automorphic forms [<a href="ICM2010-talk.pdf">ICM2010-talk.pdf</a>]<br></li> </ul> <H3>Teaching</H3> <ul> <li> 2016: Representation theory of p-adic reductive groups [<a href="Rep-p-adic.pdf">notes</a>] </li> <li> 2015: Elementary Number Theory </li> <li> 2015: Introduction to Drinfeld's shtuka </li> <li> 2014: Geometry of the Hitchin fibration </li> <li> 2013: Algebraic Number Theory </li> <li> 2012: Algebraic Number Theory </li> <li> 2011: Automorphic forms on GL(2) </li> </ul> <H3>PhD students</H3> <ul> <li> Alexis Bouthier graduated in 2014 in Orsay, now is a Matre de Confrence in Universit de Pierre et Marie Curie. This is a <a href="http://arxiv.org/pdf/1409.1275v3.pdf">paper</a> extracted from his PhD thesis prepared under the co-supervision of G. Laumon and me. With Sakellaridis, we worked out a geometric interpretation of the basic function of the local factor of automorphic L-function [<a href="BNY.pdf">BNY.pdf</a>]. </li> <li> Shuyang Cheng graduated in 2016 in Chicago, now is a postdoc in the University of Michgan at Ann Arbor. This is a <a href="http://arxiv.org/pdf/1410.0415v3.pdf">paper</a> extracted from his PhD thesis. We also worked together on a conjecture of Braverman and Kazhdan on gamma sheaves over finite reductive groups [<a href="https://arxiv.org/pdf/1602.05688.pdf">BK.pdf</a>].</li> <li> H Ph Quc graduated in 2017, now is a postdoc in IST Vienna. In this <a href="https://arxiv.org/pdf/1512.04490.pdf">paper</a>, he proved a theorem of stability on cohomology of configuration spaces for smooth irreducible algebraic varieties. With L Hng Vit Bo, we worked out a version of the Bhargava-Shankar theorem for function fields [<a href="bcq.pdf">bcq.pdf</a>].</li> <li> Daniel Johnstone graduated in 2017, now is a postdoc in the University of Minnesota. He works on the generalization of the <a href= "https://arxiv.org/pdf/1611.06291.pdf"> Gelfand-Graev character formula </a>. <li> Jingren Chi graduated in 2018. His thesis can be found <a href="https://arxiv.org/pdf/1805.08770.pdf">here</a>. <li> Phm Ngc Hong Minh <li> Trnh Minh Tm <li> Xiao Wang </ul> <H3> Editorial board</H3> <ul> <li>Grundlehren der mathematischen Wissenschaften</li> <li>Compositio Mathematica</li> <li>Acta Mathematica Vietnamica</li> <li>Vietnam Journal of Mathematics</li> </ul> <a href="cv-2018.pdf"><H3>Vitae </H3> </a> <hr style="width: 100%; solid height: 1px;"> updated on May 25, 2018<br> </body></html>