Department of Mathematics and Statistics, Binghamton University people:jwilliams
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2026-04-08T05:31:14-04:00
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2023-08-27T17:16:21-04:00
2023-08-27T17:16:21-04:00
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Jonathan Williams
2026-04-08T05:10:41-04:00
2026-04-08T05:10:41-04:00
https://www2.math.binghamton.edu/p/people/jwilliams/start
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<a href="https://www2.math.binghamton.edu/lib/exe/fetch.php?hash=81d4a8&media=http%3A%2F%2Fpeople.math.binghamton.edu%2Fimages%2F%2Ffaculty%2Fjwilliams.jpg" class="media" title="http://people.math.binghamton.edu/images//faculty/jwilliams.jpg"><img src="https://www2.math.binghamton.edu/lib/exe/fetch.php?hash=81d4a8&w=220&h=260&tok=d5c096&media=http%3A%2F%2Fpeople.math.binghamton.edu%2Fimages%2F%2Ffaculty%2Fjwilliams.jpg" class="media" title="jwilliams.jpg" alt="jwilliams.jpg" width="220" height="260" /></a>
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<h2 class="sectionedit8" id="jonathan_williams">Jonathan Williams</h2>
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Assistant Professor <br/>
Ph.D., 2010, University of Texas at Austin <br/>
At Binghamton since 2016 <br/>
<strong>Areas of Interest:</strong> Low-dimensional topology, including knots, smooth 4-manifolds, fibration-like structures and invariants. <br/>
<a href="https://www2.math.binghamton.edu/p/research#jwilliams" class="wikilink1" title="research"> Summary of research interests </a> <br/>
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<td class="col0"> <strong>E-mail:</strong> </td><td class="col1"> jdwillia@binghamton.edu, jwilliams@math.binghamton.edu </td>
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<td class="col0 leftalign"> <strong>Fax:</strong> </td><td class="col1 leftalign"> (607) 777-2450 </td>
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<a href="http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/salientsets.zip" class="urlextern" title="http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/salientsets.zip">Materials related to the paper "The salient crossings of a crown diagram"</a>
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<a href="https://1drv.ms/u/s!AqhoQIp-t-rxixcBRdx7SQ8b83Gy?e=hc1b7h" class="urlextern" title="https://1drv.ms/u/s!AqhoQIp-t-rxixcBRdx7SQ8b83Gy?e=hc1b7h">Notes on nullhomotopic crown diagrams</a>
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<a href="https://www2.math.binghamton.edu/p/people/jwilliams/t.html" class="wikilink1" title="people:jwilliams:t.html">Professional information</a>
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people:jwilliams:t.html
2022-09-05T20:22:58-04:00
2022-09-05T20:22:58-04:00
https://www2.math.binghamton.edu/p/people/jwilliams/t.html
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<a href="http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/cv.pdf" class="urlextern" title="http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/cv.pdf">CV</a>,
<a href="http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/ts.pdf" class="urlextern" title="http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/ts.pdf">teaching statement</a>,
<a href="http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/rs.pdf" class="urlextern" title="http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/rs.pdf">research statement</a>,
<a href="http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/ss.pdf" class="urlextern" title="http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/ss.pdf">service statement</a>
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Papers:
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<a href="http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/p1.pdf" class="urlextern" title="http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/p1.pdf">The h-principle for broken Lefschetz fibrations</a>, Geom. Topol. 14 no. 2 (2010), 1015-1061. doi:10.2140/gt.2010.14.1015
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<a href="http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/p7.pdf" class="urlextern" title="http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/p7.pdf">Topology of surface diagrams of smooth 4-manifolds</a>, PNAS 108 (20) 8126-8130. doi 10.1073/pnas.1016952108
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<a href="http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/p2.pdf" class="urlextern" title="http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/p2.pdf">Uniqueness of crown diagrams of smooth 4-manifolds</a> (submitted)
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<a href="http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/p3.pdf" class="urlextern" title="http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/p3.pdf">Existence of 2-parameter crossings, with applications</a>, Geom. Ded. 207 (2020), 265–286. doi:10.48550/arXiv.1411.1742
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<a href="http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/p4.pdf" class="urlextern" title="http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/p4.pdf">Depicting a generalized shift move in crown diagrams</a>, to appear in Top. Proc.
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<a href="http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/p5.pdf" class="urlextern" title="http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/p5.pdf">The salient crossings of a crown diagram</a>, (submitted)
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<a href="http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/p6.pdf" class="urlextern" title="http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/p6.pdf">The salient crossings of a crown multisection</a> (preliminary draft)
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