* <i>Part of this work is sponsored by an NSF Award.</i> 

<h3> Ph.D. Thesis (<a href="http://www.math.upenn.edu/">University of Pennsylvania</a>, May 2005):</h3>

<ul>
<p><li><a href="dissertation.pdf">Alexander invariants of hypersurface
complements</a> (Ph.D. Advisor: Julius Shaneson).</p>
</ul>

<h3> Papers and Preprints:</h3> 

<ul>
<LI> <a href="CMH.pdf"> Intersection
homology and Alexander modules of hypersurface complements.</a> 
<ul><i><b> Comment. Math. Helv.</b> 81 (2006), no. 1, 123-155.</i></ul></li><P>

<LI> <a href="Peripheral.pdf"> A decomposition theorem for the Peripheral Complex associated with
hypersurfaces.</a> <ul><i><b> Int. Math. Res. Not.</b> 43 (2005), 2627-2656.</i></ul></li><P>

<LI> <a href="MATAMS.pdf"> Multivariable
Alexander invariants of hypersurface complements.</a> (with A. Dimca) <ul><i><b> Trans. Amer. Math. Soc.</b> 
359  (2007), no. 7, 3505-3528. </i></ul></li><P>
 
<LI> <a href="hoA.pdf"> Higher-order Alexander invariants of plane algebraic curves,</a> (with C. Leidy) 
<ul><i><b> Int. Math. Res. Not.</b>, Volume 2006 (2006), Article ID 12976, 23 pages. </i></ul></li> <P>

<LI> <a href="LuminyProceedings.pdf"> On the Alexander invariants of hypersurface
complements.</a> <ul><i> in <a href="http://www.worldscibooks.com/mathematics/6328.html"><b>Singularity Theory</b></a>, Proceedings of the 2005 Marseille Singularity School and
Conference (Denis Cheniot et al, ed.),
World Scientific, 2007, pp. 725-744.</i></ul></li><P>

<LI> <a href="Euler.pdf"> Euler characteristics of algebraic varieties.</a> (with S. Cappell and J. Shaneson)
<ul><i><b>Comm. Pure Appl. Math.</b> 61 (2008), no. 3, 409-421.</i></ul></li><P>

<LI> <a href="Hodge_I.pdf"> Hodge genera of algebraic varieties, I.</a> (with S. Cappell and J. Shaneson) 
<ul><i><b>Comm. Pure Appl. Math.</b> 61 (2008), no. 3, 422-449.</i></ul></li><P>

<LI> <a href="obstruction.pdf"> Obstructions on fundamental groups of plane curve complements.</a> (with C. Leidy)
<ul><i>in <a href="http://www.ams.org/bookstore?fn=20&arg1=conmseries&item=CONM-459">
<b>Real and Complex Singularities</b></a>, <b>Contemp. Math.</b> 459 (2008), pp. 117-130. </i></ul></li> <P>

<LI> <a href="CR.pdf"> Hodge genera and characteristic classes of complex algebraic
varieties.</a> (with S. Cappell, A. Libgober and J. Shaneson)  
<ul><i><b>Electron. Res. Announc. Math. Sci.</b> 15 (2008), 1-7.</i></ul></li><P>


<LI> <a href="HodgeIIf.pdf"> Hodge genera of algebraic varieties, II.</a> (with S. Cappell, A. Libgober and J. Shaneson) 
<ul><i><b>Math. Ann.</b> 345 (2009), no. 4, 925-972; 
<a href="http://www.springerlink.com/content/p07168893847507t/?p=7e6f5de3fcdb44dd8360835a8e03bc98&pi=9">DOI 10.1007/s00208-009-0389-6</a>.</i></ul></li><P>

<LI> <a href="L2Betti.pdf">L<sup>2</sup>-Betti numbers of plane algebraic curves.</a> (with S. Friedl and C. Leidy)
<ul><i><b>Michigan Math. J.</b> 58 (2009), no. 2, 411-421.</i></ul></li><P>

<LI> <a href="MS.pdf"> Hodge-theoretic Atiyah-Meyer formulae and the stratified multiplicative property.</a> (with J. Sch&uuml;rmann)
<ul><i>in <a href="http://www.ams.org/bookstore?fn=20&arg1=whatsnew&item=CONM-474"><b>Singularities I: Algebraic and Analytic Aspects</b></a>, 
<b>Contemp. Math.</b> 474 (2008), pp. 145-167. </i></ul></li> <P>

<li> <a href="cms.pdf"> Intersection cohomology invariants of complex algebraic varieties.</a> 
(with S. Cappell and J. Shaneson) <ul><i>in <a href="http://www.ams.org/bookstore?fn=20&arg1=whatsnew&item=CONM-474">
<b>Singularities I: Algebraic and Analytic Aspects</b></a>, <b>Contemp. Math.</b> 474 (2008), pp. 15-25. </i></ul></li> <P>

<LI> <a href="equiv.pdf"> Equivariant genera of complex algebraic varieties.</a> (with S. Cappell and J. Shaneson) 
<ul><i><b>Int. Math. Res. Not.</b> Vol. 2009, No. 11, pp. 2013-2037; <a href="http://imrn.oxfordjournals.org/cgi/reprint/rnp009?
ijkey=1Xsbd6tksqr7gqV&keytype=ref">doi: 10.1093/imrn/rnp009</a></i></ul></li><P>

<LI> <a href="Milnor.pdf">On Milnor classes of complex hypersurfaces.</a>
<ul><i>in <b><a href="http://www.cambridge.org/catalogue/catalogue.asp?isbn=9780521191678">Topology of Stratified Spaces</a></b>, 
MSRI Publications 58, Cambridge University Press, New York, 2011, pp. 161-175.</i></ul></li><P>

<LI> <a href="hypclass.pdf">Characteristic classes of complex hypersurfaces.</a> (with S. Cappell, J. Sch&uuml;rmann and J. Shaneson)
<ul><i><b>Adv. Math.</b> 225 (2010), no. 5, 2616-2647; 
<a href="http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6W9F-504TP8K-2&_user=443835&_coverDate=12%2F01%2F2010&_rdoc=15&_fmt=high&_orig=browse&_origin=browse&_zone=rslt_list_item&_srch=doc-info(%23toc%236681%232010%23997749994%232305744%23FLP%23display%23Volume)&_cdi=6681&_sort=d&_docanchor=&_ct=24&_acct=C000020958&_version=1&_urlVersion=0&_userid=443835&md5=2b3afca768bb7864e9ee223309085683&searchtype=a">doi:10.1016/j.aim.2010.05.007</a> </i></ul></li><P>


<LI> <a href="sing.pdf">Hodge polynomials of singular hypersurfaces.</a> (with A. Libgober)
<ul><i><b> Michigan Math. J.</b> 60 (2011), no. 3, 661-673.</i></ul></li><P>

<LI> <a href="sym_lib60.pdf">Hirzebruch invariants of symmetric products.</a> (with J. Sch&uuml;rmann)
<ul><i>in <b><a href="http://www.ams.org/bookstore-getitem?item=CONM-538">Topology of Algebraic Varieties and Singularities</a></b>, 
<b>Contemp. Math.</b> 538 (2011), pp. 163-177.</i></ul></li><P>

<LI> <a href="MSS.pdf">Symmetric products of mixed Hodge modules.</a> (with M. Saito and J. Sch&uuml;rmann)
<ul><i><b>J. Math. Pures Appl.</b> 96 (2011), no. 5, 462-483; 
<a href="http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6VMD-52M4V40-1&_user=443835&_coverDate=04%2F13%2F2011&_rdoc=1&_fmt=high&_orig=gateway&_origin=gateway&_sort=d&_docanchor=&view=c&_acct=C000020958&_version=1&_urlVersion=0&_userid=443835&md5=966e64d592ae6ea6c4122a83d529178e&searchtype=a">doi:10.1016/j.matpur.2011.04.003</a></b>.</i></ul></li><P>

<LI> <a href="symprod.pdf">Twisted genera of symmetric products.</a> (with J. Sch&uuml;rmann)
<ul><i><b>arXiv:0906.1264</b>, accepted for publication in <b>Selecta Mathematica</b>; 
<a href="http://www.springerlink.com/content/p738123124t8l124/fulltext.pdf">DOI 10.1007/s00029-011-0072-0</a>.</i></ul></li><P>

<LI> <a href="AS.pdf">Equivariant characteristic classes of complex algebraic varieties.</a> (with S. Cappell, J. Sch&uuml;rmann and J. Shaneson)
<ul><i><b>arXiv:1004.1844</b>, accepted for publication in <b>Comm. Pure Appl. Math.</b></i></ul></li><P>

<LI> <a href="symclass.pdf">Characteristic classes of symmetric products of complex quasi-projective varieties.</a> (with S. Cappell, J. Sch&uuml;rmann, J. Shaneson and S. Yokura)
<ul><i><b>arXiv:1008.4299</b></i></ul></li><P>

<LI> <a href="BM.pdf">Deformation of Singularities and the Homology of Intersection Spaces.</a> (with M. Banagl)
<ul><i><b>arXiv:1101.4883</b></i></ul></li><P>

<LI>  <img src="new.jpg"><a href="l2b.pdf">L<sup>2</sup>-Betti numbers of hypersurface complements.</a> 
<ul><i><b>arXiv:1202.0844</b></i></ul></li><P>


</ul>

<h3> Books Edited:</h3>

<ul> 
<LI> <a href="http://www.cambridge.org/catalogue/catalogue.asp?isbn=9780521191678">Topology of Stratified Spaces.</a> 
(with G. Friedman, E. Hunsiker and A. Libgober)
<ul><i>Mathematical Sciences Research Institute Publications <a href="http://library.msri.org/books/Book58/index.html">58</a>, Cambridge University
Press, New York, 2011; <b>ISBN</b>: 9780521191678.</i></ul></li><P>
</ul>

<h3> Notes, Surveys:</h3>

<ul>

<p><li> <a href="survey.pdf"> Intersection Spaces and Hypersurface Singularities.</a> 
(short survey of joint work with Markus Banagl, emphasizing connections 
with mirror symmetry.)</p>

<p><li> <a href="motivic.pdf"> Notes on motivic integration and characteristic
classes.</a> (notes I wrote while attempting to learn this luring theory.)</p>


<p><li> <a href="Japan_talk.pdf"> Alexander invariants of hypersurface complements.</a> (notes for a series of lectures
I gave at Tokyo University of Sciences and The University of Tokyo during the Summer of 2006.)</p>
</ul>

<h3> Video talks:</h3>

<ul>
<p><li><a
href="http://www.msri.org/web/msri/online-videos/-/video/showVideo/1832">
Intersection Homology and Alexander Modules of Hypersurface Complements</a>, MSRI Workshop on "Topology of Arrangements and Applications", October 2004.</p>

<p><li><a
href="http://www.msri.org/web/msri/online-videos/-/video/showVideo/2693">Genera of complex varieties and singularities of proper maps</a>, 
MSRI Workshop on "Recent Developments in Arrangements
and Configuration Spaces", August 2006.</p>
</ul>