[[http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/cv.pdf|CV]], [[http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/ts.pdf|teaching statement]], [[http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/rs.pdf|research statement]], [[http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/ss.pdf|service statement]] Papers: [[http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/p1.pdf|The h-principle for broken Lefschetz fibrations]], Geom. Topol. 14 no. 2 (2010), 1015-1061. doi:10.2140/gt.2010.14.1015 [[http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/p7.pdf|Topology of surface diagrams of smooth 4-manifolds]], PNAS 108 (20) 8126-8130. doi 10.1073/pnas.1016952108 [[http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/p2.pdf|Uniqueness of crown diagrams of smooth 4-manifolds]] (submitted) [[http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/p3.pdf|Existence of 2-parameter crossings, with applications]], Geom. Ded. 207 (2020), 265–286. doi:10.48550/arXiv.1411.1742 [[http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/p4.pdf|Depicting a generalized shift move in crown diagrams]], to appear in Top. Proc. [[http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/p5.pdf|The salient crossings of a crown diagram]], (submitted) [[http://www2.math.binghamton.edu/lib/exe/fetch.php/people/jwilliams/p6.pdf|The salient crossings of a crown multisection]] (preliminary draft)