Hyperbolic Geometry and Kleinian Groups, Geometric Structures on 3-Manifolds and 3- Orbifolds, and Low-Dimensional Topology

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Shawn Rafalski _ Fairfield University :: Department of Mathematics :: Bannow 15 :: Fairfield, CT 06824 srafalski@fairfield.edu :: 203.254.4000 ext.2198 :: www.faculty.fairfield.edu/srafalski Education University of Illinois at Chicago, PhD in Mathematics, 2007 Thesis: Immersed turnovers in hyperbolic 3-orbifolds Advisor: Ian Agol University of Illinois at Chicago, MS in Mathematics, 2003 Eastern Michigan University, BS in Mathematics, 2001 Research Hyperbolic Geometry and Kleinian Groups, Geometric Structures on 3-Manifolds and 3- Orbifolds, and Low-Dimensional Topology Employment Associate Professor, Fairfield University, September 2012-present Assistant Professor, Fairfield University, September 2008-August 2012 Visiting Assistant Professor, Williams College, 2007-2008 Instructor, University of Illinois at Chicago, 2005-2006 Teaching Assistant, University of Illinois at Chicago, 2004-2005 and 2006-2007 Publications Guts and volume for hyperbolic 3-orbifolds with underlying space S 3, (with Christopher K. Atkinson, Jessica Mallepalle*, Joseph Melby*, and Jennifer Vaccaro*), submitted 2017. (*undergraduate author.)

The smallest Haken hyperbolic polyhedra (with Christopher K. Atkinson), Proceedings of the American Mathematical Society 141 (2013), no. 4, 1393 1404. Small hyperbolic polyhedra, Pacific Journal of Mathematics 255 (2012), no. 1, 191 240. A relative isoperimetric inequality for certain warped product spaces, Advances in Geometry 12 (2012), no. 4, 639 646. Immersed turnovers in hyperbolic 3-orbifolds, Groups, Geometry, and Dynamics 4 (2010), no. 2, 333 376. External Grants National Science Foundation Research Experiences for Undergraduates (REU) Grant, 2010 and 2014. This grant established a Summer REU Program in Mathematics and Computational Science at Fairfield University. The first award (2010, in the amount of $296,569) funded a three-summer duration whose first summer program took place in 2011. The second award (2014, in the amount of $260,000) funded a second three-summer duration whose first summer program took place in 2014. I served as the Principal Investigator for the grant, the Program Director, and in Summers 2011 and 2015 I led research groups of three students in 3-dimensional hyperbolic geometry and topology. National Science Foundation VIGRE Fellowship, University of Illinois at Chicago, 2001-2004 Internal Grants Humanities Institute of the College of Arts and Sciences Grant, Fairfield University, 2010 and 2013. I was Co-Principal Investigator for these two grants, to bring the theater group Know Theatre (of Cincinnati) to Fairfield University for a musical performance Calculus: The Musical! in April 2011 and April 2014 at the Fairfield University Quick Center for Performing Arts. Sciences Institute of the College of Arts and Sciences Grant, Fairfield University, 2009. I was the principal investigator for this grant, which brought the mathematician and MacArthur Fel-low Jeffrey Weeks for a general audiences lecture at the Fairfield University Quick Center for the Performing Arts in October 2009. This event was attended by more than 600 students and members of the Fairfield community. Research Assistantship, University of Illinois at Chicago, 2006 Mathematics Doc M Scholarship, Eastern Michigan University, 2000-2001 2

University Regents Scholarship, Eastern Michigan University, 1999-2000 Talks New Jersey City University, 51st Spring Topology and Dynamical Systems Conference, March 2017 National Technical University of Athens, Knots in Hellas, July 2016 City University of New York, College of Staten Island (invited speaker), 29 th Summer Conference on Topology and Its Applications, July 2014 Sacred Heart University (invited speaker) Senior Honors Seminar, October 2013 Wesleyan University (invited speaker) Topology Seminar, November 2012 University of Minnesota Morris Undergraduate Student Colloquium, October 2012 City University of New York, Grad Center (invited speaker) Geometry and Topology Seminar, February 2012 AMS Northeast Sectional Meeting (invited speaker) Special Session on Topological, Geometric, and Quantum Invariants of 3-Manifolds, College of the Holy Cross, April 2011 University of California, Berkeley (invited speaker) Geometry/Topology Seminar, March 2011 Williams College (invited speaker) Faculty Colloquium, February 2011 Oklahoma State University (invited speaker) Topology Seminar, October 2010 Temple University (invited speaker) Geometry-Topology Seminar, February 2010 Fairfield University Math and Computer Science Colloquium, November 2009 Sacred Heart University (invited speaker) Senior Honors Seminar, October 2009 Williams College (invited speaker), Faculty Colloquium, March 2009 Yale University (invited speaker), Topology & Geometry Seminar, November 2008 AMS Northeast Sectional Meeting (invited speaker), Special Session on Geometric Function Theory, Wesleyan University, October 2008 3

Georgia Topology Conference (invited speaker), University of Georgia, May 2008 Boston College, Geometry & Topology Seminar, April 2008 City University of New York Graduate Center, Complex Analysis & Dynamics Seminar, March 2008 Tufts University, Geometric Group Theory & Topology Seminar, September 2007 Valley Geometry Seminar, University of Massachusetts Amherst, September 2007 Williams College, Faculty Colloquium, September 2007 24th Annual Workshop in Geometric Topology, Calvin College, July 2007 University of Illinois at Chicago, Geometry, Topology & Dynamics Seminar, March 2007 Academic Service Fairfield University 2020 Steering Committee, elected member, January 2014-present Fairfield University 2020 Task Force on Pedagogical Innovation, January 2014-present (Chair September 2014-present) Fairfield University Academic Council, elected member, 2012-2014 (Chair, 2013-2014) Fairfield University Library Committee, elected member, 2009-2012 (Chair, 2011-2012) Marshall, Fairfield University Undergraduate Commencement, 2009-2011 Panelist, Mathematics Summer Internships and Research Opportunities Information Roundtable, October 2010 Mathematics Department representative, Fairfield University Admitted Students Open House, February 2010 and April 2010 Coordinator for SW Connecticut Math Counts Competition, February 2010 Mathematics Department representative, The Core Unmasked, October 2008 and October 2009 Subcommittee member for the Fairfield Mathematics Department program review, 2009-2010 Search Committee member for Mathematics and Computer Science job searches, 2008-2009 Study session leader, Fairfield Mathematics Comprehensive Exam, Fairfield University, December 2008 4

Panelist, Mathematics Graduate School Information Roundtable, Fairfield University, October 2008 and October 2009 Facilitator of Conundrums (monthly mathematical problem-solving contest), Williams College, 2007-2008 Faculty advisor for the Green Chicken Competition (annual mathematical competition between Williams College and Middlebury College students), Williams College, October 2007 Organizer of the Geometry, Topology and Dynamics Graduate Student Seminar, University of Illinois at Chicago, 2005-2007 Student Mentorship Faculty research mentor to three students as part of the Fairfield REU, Summer 2015 Faculty research mentor to three students as part of the Fairfield REU, Summer 2011 Faculty advisor for the Fairfield University Math Club, 2009-2011 Advisor for Fairfield Senior Honors Thesis student Christina Laternser, 2009-2010 Faculty research mentor to three students as part of the Williams College SMALL REU Program, Summer 2008 Graduate student mentor for first-year graduate students, University of Illinois at Chicago, 2004-2006 Professional Sigma Xi American Mathematical Society Mathematical Association of America Pi Mu Epsilon 5