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mso-para-margin:0cm; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman"; mso-ansi-language:EN-US;} </style> <![endif]--> <meta name=CREATED content="0;0"> <meta name=CHANGEDBY content="Ruben Sanchez Garcia"> <meta name=CHANGED content="20111108;18154200"> <meta name=CHANGEDBY content="Ruben Sanchez Garcia"> <meta name=CHANGEDBY content="Ruben Sanchez Garcia"> <!-- No cache --> <meta http-equiv=Cache-Control content=no-cache> <meta http-equiv=Pragma content=no-cache> <!--[if gte mso 9]><xml> <o:shapedefaults v:ext="edit" spidmax="1030"/> </xml><![endif]--><!--[if gte mso 9]><xml> <o:shapelayout v:ext="edit"> <o:idmap v:ext="edit" data="1"/> </o:shapelayout></xml><![endif]--> </head> <body bgcolor="#D5E6FF" lang=EN-GB link=blue vlink=purple style='tab-interval: 36.0pt' dir=LTR> <div class=WordSection1> <h1><span lang=EN-US style='font-size:26.0pt;mso-bidi-font-size:24.0pt; font-family:"Sylfaen","serif";mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'>Rubén Sánchez-<span class=SpellE>García</span></span><span lang=EN-US style='font-size:28.0pt;mso-bidi-font-size:24.0pt;mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></h1> <div class=MsoNormal align=center style='text-align:center'><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'> <hr size=2 width="100%" align=center> </span></div> <h2><!-- <H2 CLASS="western" ALIGN=LEFT><A NAME="portrait"></A><IMG SRC="crop1.jpg" NAME="graphics1" ALIGN=RIGHT WIDTH=170 HEIGHT=266 BORDER=0><FONT FACE="Sylfaen, serif">Contact details</FONT></H2> --><a name=portrait></a><span lang=EN-US style='font-size:20.0pt;mso-bidi-font-size: 18.0pt;font-family:"Sylfaen","serif";mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'>Contact details</span><span lang=EN-US style='font-size:22.0pt;mso-bidi-font-size:18.0pt;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></h2> <p><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt; font-family:"Sylfaen","serif"'>School of Mathematics <br> University of Southampton <br> University Road <br> Southampton SO17 1BJ <br> United Kingdom <br> <br> Office: 54/8027</span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size: 10.0pt'> </span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size: 10.0pt;font-family:"Sylfaen","serif"'><br> Phone: +44 2380 59 3655 <br> Fax: &nbsp; &nbsp; +44 2380 59 4141 </span><span lang=EN-US style='font-size: 12.0pt;mso-bidi-font-size:10.0pt'><o:p></o:p></span></p> <p><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt; font-family:"Sylfaen","serif"'>Email: <a href="mailto:R.Sanchez-Garcia@soton.ac.uk">R.Sanchez-Garcia@soton.ac.uk</a></span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt'><o:p></o:p></span></p> <div class=MsoNormal align=center style='text-align:center'><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'> <hr size=2 width="100%" align=center> </span></div> <p><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt; font-family:"Sylfaen","serif"'>I am a Research Fellow at the <a href="http://www.soton.ac.uk/maths/index.shtml">School of Mathematics</a> since October 2010. I did my undergraduate degree at the <a href="http://www.ciencias.uma.es/">Universidad de <span class=SpellE>Málaga</span></a><a name="Facultad_deCiencias,_Universidad_de_Mála"></a> (Spain), then a PhD at the <a href="http://www.maths.soton.ac.uk/">University of Southampton</a><a name="University_of_Southampton,_School_of_Mat"></a> (UK) under the supervision of <a href="http://www.math.ohio-state.edu/people/leary">Ian Leary</a>, and I was also Research Assistant at the <a href="http://www.sheffield.ac.uk/maths/">University of Sheffield</a><a name="University_of_Sheffield,_School_of_Mathe"></a> (UK) on a <a href="http://gow.epsrc.ac.uk/ViewGrant.aspx?GrantRef=EP/C549074/1">research project</a> with <a href="http://www.maths.dept.shef.ac.uk/puremaths/staff_info.php?id=34">Vic <span class=SpellE>Snaith</span></a>, before moving to Germany. At <a href="http://www.math.uni-duesseldorf.de/">Düsseldorf</a> I was Research Assistant for <a href="http://www.math.fu-berlin.de/groups/top/members/reich.html"><span class=SpellE>Holger</span> Reich</a>. If you still want to know more, this is my <a href="cv_sanchezgarcia.pdf">CV</a>. </span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt'><o:p></o:p></span></p> <p><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt; font-family:"Sylfaen","serif"'>I am currently working on <span class=GramE>a</span> EPSRC-funded <a href="http://gow.epsrc.ac.uk/ViewGrant.aspx?GrantRef=EP/G059101/1">research project</a> aimed at preventing wide-area blackouts of electrical power by a preemptive islanding of the transmission network. I am also a member of the </span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt'><a href="http://www.personal.soton.ac.uk/gan/AGM_Homepage.html">Analytic and Geometric Methods in Group Theory</a> team of the <a href="http://www.soton.ac.uk/maths/research/pure/index.shtml">Pure Group</a>.<o:p></o:p></span></p> <p><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt; color:black'>Other interdisciplinary research initiatives at Southampton include the <a href="http://www.icss.soton.ac.uk/">Institute for Complex Systems Simulation</a>, <a href="http://webscience.ecs.soton.ac.uk/"><span class=SpellE>WebScience</span></a> and, within the School, <a href="http://www.symbiosis.soton.ac.uk/index.php">Symbiosis</a> and an EPSRC grant on <strong><span style='font-family:Times;font-weight:normal'><a href="http://gow.epsrc.ac.uk/ViewGrant.aspx?GrantRef=EP/I016945/1"><span class=GramE>Coarse</span> geometry and <span class=SpellE>cohomology</span> of large data sets</a>.</span></strong></span><span lang=EN-US style='font-size: 12.0pt;mso-bidi-font-size:10.0pt'><o:p></o:p></span></p> <div class=MsoNormal align=center style='text-align:center'><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'> <hr size=2 width="100%" align=center> </span></div> <h2 style='page-break-after:avoid'><span lang=EN-US style='font-size:20.0pt; mso-bidi-font-size:18.0pt;font-family:"Sylfaen","serif";mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'>Research interests</span><span lang=EN-US style='font-size:22.0pt;mso-bidi-font-size:18.0pt;mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></h2> <p><span class=SpellE><i><span lang=EN-US style='font-size:15.5pt;mso-bidi-font-size: 13.5pt;font-family:"Sylfaen","serif"'>Equivariant</span></i></span><i><span lang=EN-US style='font-size:15.5pt;mso-bidi-font-size:13.5pt;font-family:"Sylfaen","serif"'> K-homology and the Baum-<span class=SpellE>Connes</span> conjecture</span></i><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt'><o:p></o:p></span></p> <p><a name=top1></a><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size: 10.0pt;font-family:"Sylfaen","serif"'>I am in general interested on the topological aspects on the Baum-<span class=SpellE>Connes</span> conjecture. This conjecture identifies the K-theory of the reduced C*-algebra of a group G, with the <span class=SpellE>equivariant</span> K-homology of its classifying space for proper actions <u>E</u>G. Part of the importance of this conjecture is due to the fact that it is related to many other relevant conjectures in different areas of mathematics. I have done explicit computations on the <span class=SpellE>equivariant</span> K-homology of <u>E</u>G for <span class=SpellE>Coxeter</span> groups and <span class=GramE>SL(</span>3, Z) [1, 2]. With Paul Baum, I have written an introduction to the K-theory for group C*-algebras [6]. On a joint work with Jean-François <span class=SpellE>Lafont</span> and <span class=SpellE>Ivonne</span> Ortiz we consider the rationalized K-homology for groups with a <span class=SpellE>cocompact</span>, 3-manifold model of <u>E</u>G [8].</span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt'><o:p></o:p></span></p> <p><i><span lang=EN-US style='font-size:15.5pt;mso-bidi-font-size:13.5pt; font-family:"Sylfaen","serif"'>Mathematical aspects of complex networks</span></i><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt'><o:p></o:p></span></p> <p><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt; font-family:"Sylfaen","serif"'>Many real-world complex systems may be represented as graphs. One can use the <span class=SpellE>automorphism</span> group of such a graph to investigate its structure and spectrum. We have constructed a practical decomposition for the <span class=SpellE>automorphism</span> group of a network and related it to network structure [3]. We have related this decomposition to specific network eigenvalues [4]. In a different direction, we have constructed a model of adaptive networks and analytically related cycle structure to stability [5]. This is mainly joint work with <a href="http://www.personal.soton.ac.uk/bdm/">Ben MacArthur</a>.</span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt'><o:p></o:p></span></p> <p><i><span lang=EN-US style='font-size:15.5pt;mso-bidi-font-size:13.5pt; font-family:"Sylfaen","serif"'>Algebraic K-theory</span></i><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt'><o:p></o:p></span></p> <p><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt; font-family:"Sylfaen","serif"'>On a project with Vic <span class=SpellE>Snaith</span>, <span class=SpellE>Zacky</span> <span class=SpellE>Choo</span> and <span class=SpellE>Wajid</span> <span class=SpellE>Mannan</span> [7] we have developed an algorithm to compute the <span class=SpellE>Borel</span> regulator evaluated on the homology of the general linear group of a number field. We also construct a canonical set of elements in <span class=GramE>K<sub>3</sub>(</span>F) for a <span class=SpellE>cyclotomic</span> field F based on a free differential calculus. Applying our algorithm to this set yields a <span class=SpellE><span class=GramE>covolume</span></span><span class=GramE> which</span> coincides with the <span class=SpellE>Borel</span> regulator if our set is a basis.</span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt'><o:p></o:p></span></p> <div class=MsoNormal align=center style='text-align:center'><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'> <hr size=2 width="100%" align=center> </span></div> <h2><span lang=EN-US style='font-size:20.0pt;mso-bidi-font-size:18.0pt; font-family:"Sylfaen","serif";mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'>Publications</span><span lang=EN-US style='font-size:22.0pt;mso-bidi-font-size:18.0pt;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></h2> <p style='margin-left:35.7pt;text-indent:-17.85pt;line-height:150%;mso-list: l1 level1 lfo2;tab-stops:list 36.0pt'><![if !supportLists]><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;line-height:150%;mso-fareast-font-family: Times;mso-bidi-font-family:Times'><span style='mso-list:Ignore'>1.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=SpellE><b><i><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size: 10.0pt;line-height:150%;font-family:"Sylfaen","serif"'>Equivariant</span></i></b></span><b><i><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;line-height:150%; font-family:"Sylfaen","serif"'> K-homology for some <span class=SpellE>Coxeter</span> groups</span></i></b><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size: 10.0pt;line-height:150%;font-family:"Sylfaen","serif"'>, Journal of the London Mathematical Society (2) 75 (2007), no. 3, 773 790. &nbsp; <a href="http://arxiv.org/abs/math/0604402"><span class=SpellE><span class=GramE>arxiv</span></span></a> &nbsp; <a href="http://jlms.oxfordjournals.org/cgi/content/abstract/75/3/773">journal</a> &nbsp; <a href="http://www.ams.org/mathscinet-getitem?mr=2352735"><span class=SpellE>mathscinet</span></a> </span><span lang=EN-US style='font-size: 12.0pt;mso-bidi-font-size:10.0pt;line-height:150%'><o:p></o:p></span></p> <p style='margin-left:35.7pt;text-indent:-17.85pt;line-height:150%;mso-list: l1 level1 lfo2;tab-stops:list 36.0pt'><![if !supportLists]><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;line-height:150%;mso-fareast-font-family: Times;mso-bidi-font-family:Times'><span style='mso-list:Ignore'>2.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=SpellE><b><i><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size: 10.0pt;line-height:150%;font-family:"Sylfaen","serif"'>Bredon</span></i></b></span><b><i><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;line-height:150%; font-family:"Sylfaen","serif"'> homology and <span class=SpellE>equivariant</span> K-homology of <span class=GramE>SL(</span>3, Z)</span></i></b><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;line-height:150%;font-family: "Sylfaen","serif"'>, Journal of Pure and Applied Algebra 212 (2008), no. 5, 1046 1059. &nbsp; <a href="http://arxiv.org/abs/math/0601587"><span class=SpellE><span class=GramE>arxiv</span></span></a> &nbsp; <a href="http://dx.doi.org/10.1016/j.jpaa.2007.07.019">journal</a> &nbsp; <a href="http://www.ams.org/mathscinet-getitem?mr=2387584"><span class=SpellE>mathscinet</span></a> </span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt; line-height:150%'><o:p></o:p></span></p> <p style='margin-top:5.0pt;margin-right:0cm;margin-bottom:0cm;margin-left:35.7pt; margin-bottom:.0001pt;text-indent:-17.85pt;line-height:150%;mso-list:l1 level1 lfo2; tab-stops:list 36.0pt'><![if !supportLists]><span lang=EN-US style='font-size: 12.0pt;mso-bidi-font-size:10.0pt;line-height:150%;mso-fareast-font-family:Times; mso-bidi-font-family:Times'><span style='mso-list:Ignore'>3.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><b><i><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;line-height:150%; font-family:"Sylfaen","serif"'>Symmetry in complex networks</span></i></b><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;line-height:150%'> </span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt; line-height:150%;font-family:"Sylfaen","serif"'>(with B. D. MacArthur and J. W. Anderson), Discrete Applied Mathematics 156 (2008), no. 18, 3525 3531. &nbsp; <a href="http://arxiv.org/abs/0705.3215"><span class=SpellE><span class=GramE>arxiv</span></span></a> &nbsp; <a href="http://dx.doi.org/10.1016/j.dam.2008.04.008">journal</a> &nbsp; <a href="http://www.ams.org/mathscinet-getitem?mr=2467966"><span class=SpellE>mathscinet</span></a> </span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt; line-height:150%'><o:p></o:p></span></p> <p style='margin-top:5.0pt;margin-right:0cm;margin-bottom:0cm;margin-left:35.7pt; margin-bottom:.0001pt;text-indent:-17.85pt;line-height:150%;mso-list:l1 level1 lfo2; tab-stops:list 36.0pt'><![if !supportLists]><span lang=EN-US style='font-size: 12.0pt;mso-bidi-font-size:10.0pt;line-height:150%;mso-fareast-font-family:Times; mso-bidi-font-family:Times'><span style='mso-list:Ignore'>4.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><b><i><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;line-height:150%; font-family:"Sylfaen","serif"'>Spectral characteristics in network redundancy</span></i></b><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;line-height:150%'> </span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt; line-height:150%;font-family:"Sylfaen","serif"'>(with B. D. MacArthur), Physical Review E 80, 026117 (2009<span class=GramE>) &nbsp; </span><a href="http://arxiv.org/abs/0904.3192"><span class=SpellE>arxiv</span></a> &nbsp; <a href="http://link.aps.org/doi/10.1103/PhysRevE.80.026117">journal</a> </span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt; line-height:150%'><o:p></o:p></span></p> <p style='margin-top:5.0pt;margin-right:0cm;margin-bottom:0cm;margin-left:35.7pt; margin-bottom:.0001pt;text-indent:-17.85pt;line-height:150%;mso-list:l1 level1 lfo2; tab-stops:list 36.0pt'><![if !supportLists]><span lang=EN-US style='font-size: 12.0pt;mso-bidi-font-size:10.0pt;line-height:150%;mso-fareast-font-family:Times; mso-bidi-font-family:Times'><span style='mso-list:Ignore'>5.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=SpellE><b><i><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size: 10.0pt;line-height:150%;font-family:"Sylfaen","serif"'>Microdynamics</span></i></b></span><b><i><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;line-height:150%; font-family:"Sylfaen","serif"'> and criticality of adaptive regulatory networks</span></i></b><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;line-height:150%'> </span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt; line-height:150%;font-family:"Sylfaen","serif"'>(with B. D. MacArthur and A. <span class=SpellE>Ma'ayan</span>), Physical Review Letters 104, 168701 (2010<span class=GramE>) &nbsp; </span><a href="http://arxiv.org/abs/0912.2008"><span class=SpellE>arxiv</span></a> &nbsp; <a href="http://prl.aps.org/abstract/PRL/v104/i16/e168701">journal</a> </span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;line-height:150%'><o:p></o:p></span></p> <p style='margin-top:5.0pt;margin-right:0cm;margin-bottom:0cm;margin-left:35.7pt; margin-bottom:.0001pt;text-indent:-17.85pt;line-height:150%;mso-list:l1 level1 lfo2; tab-stops:list 36.0pt'><![if !supportLists]><span lang=EN-US style='font-size: 12.0pt;mso-bidi-font-size:10.0pt;line-height:150%;mso-fareast-font-family:Times; mso-bidi-font-family:Times'><span style='mso-list:Ignore'>6.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><b><i><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;line-height:150%; font-family:"Sylfaen","serif"'>K-theory for group C*-algebras</span></i></b><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;line-height:150%'> </span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt; line-height:150%;font-family:"Sylfaen","serif"'>(with P. Baum), in <i>Topics in Algebraic and Topological K-Theory</i>, Proceedings of the <span class=SpellE>Sedano</span> Winter School on K-theory, <a href="http://www.springer.com/mathematics/algebra/book/978-3-642-15707-3">Springer Lecture Notes in Mathematics, vol. 2008</a> (2011). &nbsp; <a href="http://arxiv.org/abs/0908.1066"><span class=SpellE><span class=GramE>arxiv</span></span></a> (preliminary version)&nbsp; <a href="http://www.springerlink.com/content/w4v4q8327298/front-matter.pdf">front matter</a> &nbsp; <a href="http://www.springerlink.com/content/978-3-642-15707-3">read online</a> </span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;line-height:150%'><o:p></o:p></span></p> <p style='margin-top:5.0pt;margin-right:0cm;margin-bottom:0cm;margin-left:35.7pt; margin-bottom:.0001pt;text-indent:-17.85pt;line-height:150%;mso-list:l1 level1 lfo2; tab-stops:list 36.0pt'><![if !supportLists]><span lang=EN-US style='font-size: 12.0pt;mso-bidi-font-size:10.0pt;line-height:150%;mso-fareast-font-family:Times; mso-bidi-font-family:Times'><span style='mso-list:Ignore'>7.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><b><i><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;line-height:150%; font-family:"Sylfaen","serif"'>Computing <span class=SpellE>Borel's</span> regulator </span></i></b><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size: 10.0pt;line-height:150%;font-family:"Sylfaen","serif"'>(with V. <span class=SpellE>Snaith</span>, Z. <span class=SpellE>Choo</span> and W. <span class=SpellE>Mannan</span>), submitted. &nbsp; <a href="http://arxiv.org/abs/0908.3765"><span class=SpellE><span class=GramE>arxiv</span></span></a> &nbsp; <a href="universalchain.pdf">universal chain (<span class=SpellE>pdf</span>)</a> &nbsp; <a href="universalchain.tex">universal chain (<span class=SpellE>LaTeX</span>)</a> </span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt; line-height:150%'><o:p></o:p></span></p> <p style='margin-top:5.0pt;margin-right:0cm;margin-bottom:0cm;margin-left:35.7pt; margin-bottom:.0001pt;text-indent:-17.85pt;line-height:150%;mso-list:l1 level1 lfo2; tab-stops:list 36.0pt'><![if !supportLists]><span lang=EN-US style='font-size: 12.0pt;mso-bidi-font-size:10.0pt;line-height:150%;mso-fareast-font-family:Times; mso-bidi-font-family:Times'><span style='mso-list:Ignore'>8.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><b><i><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;line-height:150%; font-family:"Sylfaen","serif"'>Rational <span class=SpellE>equivariant</span> K-homology of low dimensional groups </span></i></b><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;line-height:150%;font-family: "Sylfaen","serif";mso-bidi-font-weight:bold;mso-bidi-font-style:italic'>(with J<span class=GramE>.-</span>F. <span class=SpellE>Lafont</span> and I. Ortiz), submitted.<span style="mso-spacerun:yes">   </span></span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;line-height:150%;font-family: "Sylfaen","serif"'><a href="QEquivHom3D.pdf"><span class=GramE>preprint</span></a></span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;line-height:150%'><o:p></o:p></span></p> <div class=MsoNormal align=center style='text-align:center'><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'> <hr size=2 width="100%" align=center> </span></div> <h2><span lang=EN-US style='font-size:20.0pt;mso-bidi-font-size:18.0pt; font-family:"Sylfaen","serif";mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'>Recent talks</span><span lang=EN-US style='font-size:22.0pt;mso-bidi-font-size:18.0pt;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></h2> <p style='margin-left:36.0pt;text-indent:-18.0pt;mso-list:l2 level1 lfo4; tab-stops:list 36.0pt'><![if !supportLists]><span lang=EN-US style='font-family: Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span lang=EN-US style='font-size:12.0pt; mso-bidi-font-size:10.0pt'> </span><i><span lang=EN-US style='font-size:12.0pt; mso-bidi-font-size:10.0pt;font-family:"Sylfaen","serif"'>Computing <span class=SpellE>Borel's</span> Regulator </span></i><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;font-family:"Sylfaen","serif"'>, Quadratic forms, K-theory and Number Theory Seminar<i>, </i>School of Mathematical Sciences, University College</span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt'> </span><u><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;font-family:"Sylfaen","serif"'>Dublin</span></u><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;font-family:"Sylfaen","serif"'>, 30<sup>th</sup></span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size: 10.0pt'> </span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size: 10.0pt;font-family:"Sylfaen","serif"'>March 2011</span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt'><o:p></o:p></span></p> <p style='margin-left:36.0pt;text-indent:-18.0pt;mso-list:l2 level1 lfo4; tab-stops:list 36.0pt'><![if !supportLists]><span lang=EN-US style='font-family: Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span lang=EN-US style='font-size:12.0pt; mso-bidi-font-size:10.0pt'> </span><span class=SpellE><i><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;font-family:"Sylfaen","serif"'>Equivariant</span></i></span><i><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;font-family:"Sylfaen","serif"'> K-homology for hyperbolic reflection groups </span></i><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;font-family:"Sylfaen","serif"'>, Geometry and Topology Seminar, Department of Mathematics, University of <u>Glasgow</u>, 28<sup>th</sup></span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size: 10.0pt'> </span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size: 10.0pt;font-family:"Sylfaen","serif"'>February 2011</span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt'><o:p></o:p></span></p> <p style='margin-left:36.0pt;text-indent:-18.0pt;mso-list:l2 level1 lfo4; tab-stops:list 36.0pt'><![if !supportLists]><span lang=EN-US style='font-family: Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span lang=EN-US style='font-size:12.0pt; mso-bidi-font-size:10.0pt'> </span><i><span lang=EN-US style='font-size:12.0pt; mso-bidi-font-size:10.0pt;font-family:"Sylfaen","serif"'>Structure and spectral characteristics in network redundancy</span></i><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt'> </span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;font-family:"Sylfaen","serif"'>, Short communication, International Congress of Mathematicians, <u>Hyderabad</u>, 24<sup>th</sup></span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size: 10.0pt'> </span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size: 10.0pt;font-family:"Sylfaen","serif"'>August 2010 (<a href="icmhyderabad.pdf">slides</a>)</span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt'><o:p></o:p></span></p> <p style='margin-left:36.0pt;text-indent:-18.0pt;mso-list:l2 level1 lfo4; tab-stops:list 36.0pt'><![if !supportLists]><span lang=EN-US style='font-family: Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span lang=EN-US style='font-size:12.0pt; mso-bidi-font-size:10.0pt'> </span><span class=SpellE><i><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;font-family:"Sylfaen","serif"'>Equivariant</span></i></span><i><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;font-family:"Sylfaen","serif"'> K-homology for hyperbolic reflection groups </span></i><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;font-family:"Sylfaen","serif"'>, Single lecture, Winter School  Topics in <span class=SpellE>Noncommutative</span> Geometry , <u>Buenos Aires</u>, 4<sup>th</sup></span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt'> </span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;font-family:"Sylfaen","serif"'>August 2010</span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt'><o:p></o:p></span></p> <div class=MsoNormal align=center style='text-align:center'><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'> <hr size=2 width="100%" align=center> </span></div> <h2><span lang=EN-US style='font-size:20.0pt;mso-bidi-font-size:18.0pt; font-family:"Sylfaen","serif";mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'>Some presentations</span><span lang=EN-US style='font-size:22.0pt;mso-bidi-font-size:18.0pt;mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></h2> <p style='margin-left:36.0pt;text-indent:-18.0pt;mso-list:l3 level1 lfo6; tab-stops:list 36.0pt'><![if !supportLists]><span lang=EN-US style='font-family: Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span lang=EN-US style='font-size:12.0pt; mso-bidi-font-size:10.0pt'><a href="almeria.pdf"><span class=SpellE><span style='font-family:"Sylfaen","serif"'>Aspectos</span></span><span style='font-family:"Sylfaen","serif"'> <span class=SpellE>topológicos</span> de la <span class=SpellE>conjetura</span> de Baum-<span class=SpellE>Connes</span> (slides - Spanish)</span></a><o:p></o:p></span></p> <p style='margin-left:36.0pt;text-indent:-18.0pt;mso-list:l3 level1 lfo6; tab-stops:list 36.0pt'><![if !supportLists]><span lang=EN-US style='font-family: Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span lang=EN-US style='font-size:12.0pt; mso-bidi-font-size:10.0pt'><a href="ggt06malaga.pdf"><span class=SpellE><span style='font-family:"Sylfaen","serif"'>Equivariant</span></span><span style='font-family:"Sylfaen","serif"'> K-homology of <span class=GramE>SL(</span>3,Z) (slides)</span></a><o:p></o:p></span></p> <p style='margin-left:36.0pt;text-indent:-18.0pt;mso-list:l3 level1 lfo6; tab-stops:list 36.0pt'><![if !supportLists]><span lang=EN-US style='font-family: Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span lang=EN-US style='font-size:12.0pt; mso-bidi-font-size:10.0pt'><a href="nrwtopbonn.pdf"><span class=SpellE><span style='font-family:"Sylfaen","serif"'>Equivariant</span></span><span style='font-family:"Sylfaen","serif"'> K-homology for <span class=SpellE>Coxeter</span> groups (slides)</span></a><o:p></o:p></span></p> <p style='margin-left:36.0pt;text-indent:-18.0pt;mso-list:l3 level1 lfo6; tab-stops:list 36.0pt'><![if !supportLists]><span lang=EN-US style='font-family: Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span lang=EN-US style='font-size:12.0pt; mso-bidi-font-size:10.0pt'><a href="posterICM.pdf"><span class=SpellE><span style='font-family:"Sylfaen","serif"'>Equivariant</span></span><span style='font-family:"Sylfaen","serif"'> K-homology of <span class=SpellE>Coxeter</span> groups (poster)</span></a><o:p></o:p></span></p> <p style='margin-left:36.0pt;text-indent:-18.0pt;mso-list:l3 level1 lfo6; tab-stops:list 36.0pt'><![if !supportLists]><span lang=EN-US style='font-family: Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span lang=EN-US style='font-size:12.0pt; mso-bidi-font-size:10.0pt'><a href="posterSedano.pdf"><span style='font-family: "Sylfaen","serif"'>Computing <span class=SpellE>Borel's</span> regulator (poster)</span></a><o:p></o:p></span></p> <div class=MsoNormal align=center style='text-align:center'><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'> <hr size=2 width="100%" align=center> </span></div> <h2><span lang=EN-US style='font-size:20.0pt;mso-bidi-font-size:18.0pt; font-family:"Sylfaen","serif";mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'>Other material</span><span lang=EN-US style='font-size:22.0pt;mso-bidi-font-size:18.0pt;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></h2> <p style='margin-left:36.0pt;text-indent:-18.0pt;mso-list:l0 level1 lfo8; tab-stops:list 36.0pt'><![if !supportLists]><span lang=EN-US style='font-family: Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span lang=EN-US style='font-size:12.0pt; mso-bidi-font-size:10.0pt'><a href="thesis.pdf"><span class=SpellE><i><span style='font-family:"Sylfaen","serif"'>Equivariant</span></i></span><i><span style='font-family:"Sylfaen","serif"'> K-homology of the classifying space for proper actions</span></i></a></span><span lang=EN-US style='font-size:12.0pt; mso-bidi-font-size:10.0pt;font-family:"Sylfaen","serif"'>, PhD Thesis, University of Southampton, 2005.</span><span lang=EN-US style='font-size:12.0pt; mso-bidi-font-size:10.0pt'><o:p></o:p></span></p> <p style='margin-left:36.0pt;text-indent:-18.0pt;mso-list:l0 level1 lfo8; tab-stops:list 36.0pt'><![if !supportLists]><span lang=EN-US style='font-family: Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span lang=EN-US style='font-size:12.0pt; mso-bidi-font-size:10.0pt;font-family:"Sylfaen","serif"'>Informal notes on </span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt'><a href="hocolim.pdf"><span class=SpellE><i><span style='font-family:"Sylfaen","serif"'>Homotopy</span></i></span><i><span style='font-family:"Sylfaen","serif"'> limits and <span class=SpellE>colimits</span></span></i></a></span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;font-family:"Sylfaen","serif"'>.</span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt'><o:p></o:p></span></p> <div class=MsoNormal align=center style='text-align:center'><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'> <hr size=2 width="100%" align=center> </span></div> <p><i><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt; font-family:"Sylfaen","serif"'>Last updated</span></i><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:10.0pt;font-family:"Sylfaen","serif"'>: March 2012 </span><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size: 10.0pt'><o:p></o:p></span></p> </div> </body> </html>