Hannah Schwartz Fall 2018 Department of Mathematics Hrschwartz@Brynmawr.Edu Bryn Mawr College Bryn Mawr, Pennsylvania

Hannah Schwartz Fall 2018 Department of Mathematics [email protected] Bryn Mawr College Bryn Mawr, Pennsylvania

Education

• Bryn Mawr College Bryn Mawr, PA Doctor of Philosophy Candidate, Mathematics (in progress) 2015 – Present Advisor: Paul Melvin Comprehensive examination topics: Algebra, Analysis, & Topology Master of Arts, Mathematics 2013–2015 Advisor: Paul Melvin Thesis: On and Oﬀ the Grid: An Exploration of Heegaard Floer Homology • Occidental College Los Angeles, CA Bachelor of Arts, Mathematics 2009-2013 Graduated Cum Laude with honors

Awards, Grants & Honors

Bryn Mawr College Research Fellowship ...... Fall 2018-Spring 2019 Carland Fellowship ...... Fall 2017-Spring 2018 Bryn Mawr College Research Fellowship ...... Fall 2016 Bryn Mawr College Tuition Scholarship ...... 2013 - 19 Benedict Freedman Senior Prize in Mathematics, Occidental College ...... 2013 Benedict Freedman Prize for Mathematical Promise, Occidental College ...... 2013

Research Presentations

• Higher Order Corks and Exotic R4s Summer 2018 The topology and geometry of low-dimensional manifolds: a celebration of the mathematics of Bob Gompf University of Texas at Austin, Austin, TX • The Presence of 2-torsion Summer 2018 Low-dimensional topology and its interactions with symplectic geometry RTG mini-conference Princeton University, Princeton, NJ • Diﬀeomorphism vs. isotopy in 4-manifolds (a work in progress) Spring 2018 Philadelphia Area Contact/Topology (PACT) Seminar Bryn Mawr College, Bryn Mawr, PA • My Second Favorite Theorem Fall 2017 Philadelphia Area Contact/Topology (PACT) Seminar Bryn Mawr College, Bryn Mawr, PA

• One (stabilization) is Enough Fall 2017 Topology Seminar Boston College, MA

• One is Enough Fall 2017 Topology Seminar University of Virginia, VA

• Introduction to Knot Theory Fall 2017 Undergraduate Math Seminar Albright College, PA

• One is Enough Fall 2017 Topology Seminar University of Nebraska (Lincoln), NE

• Finite Order Corks Summer 2017 Low Dimensional Topology and Gauge Theory Workshop Casa Matem´atica Oaxaca (CMO), Mexico

• Finite Order Corks Spring 2017 Graduate Student Topology Conference Michigan State, MI

• Corks and Smooth Structures on 4-manifolds Spring 2017 Tetrahedral Geometry/Topology Seminar (TGTS) Elizabethtown College, Franklin and Marshall College, Lebanon Valley College, and Millersville University, PA

• On Freedman’s Disk Theorem Fall 2016 Philadelphia Area Contact/Topology (PACT) Seminar Bryn Mawr College, Bryn Mawr, PA

• An Introduction to Heegaard Floer Homology Fall 2014 Philadelphia Area Contact/Topology (PACT) Seminar Bryn Mawr College, Bryn Mawr, PA

• The Wizardry of Whitney’s Theorem Spring 2014 EPaDel Conference University of Scranton, Scranton, PA

Funded Participation in Conferences and Workshops

• Low Dimensional Topology and Gauge Theory Workshop August, 2017 Casa Matem´aticaOaxaca (CMO), Oaxaca, Mexico

• Research SQuaRE on Stabilization in 4-dimensional topology July, 2017 American Institute of Mathematics (AIM), San Jose, CA • Trisections and Low-Dimensional Topology March, 2017 American Institute of Mathematics (AIM), San Jose, CA

• 4-Manifolds and Knot Concordance October, 2016 Max Planck Institute, Bonn, Germany

• Visiting Graduate Student Fall 2016 IAS, Princeton, NJ

• Workshop on Flavours of Gauge Theory May, 2016 The Fields Institute, Toronto, Canada

• Combinatorial Link Homology Theories, Braids, and Contact Geometry August, 2014 Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, RI

• Association for Women in Mathematics Research Symposium April, 2015 University of Maryland, College Park, MD

• Summer Program for Women in Mathematics Summer 2012 George Washington University, Washington, D.C.

Papers

• Hannah Schwartz, Equivalent non-isotopic spheres in 4-manifolds, https://arxiv.org/abs/1806.07541, June 2018. (preprint)

• Dave Auckly, Hee Jung Kim, Paul Melvin, Daniel Ruberman, and Hannah Schwartz, Isotopy of surfaces in 4-manifolds after a single stabilization, https://arxiv.org/abs/1708.03208, August 2017. (preprint)

• Ramin Naimi, Elena Pavelescu, and Hannah Schwartz, Deleting an edge of a 3-cycle in an intrinsically knotted graph gives an intrinsically linked graph, J. Knot Theory Ramiﬁcations 23, 1450075 (2014) [6 pages] DOI: 10.1142/S0218216514500758

Teaching Experience

• Adjunct Professor, Bryn Mawr College Spring 2018 Calculus II

• Teaching Assistant, Bryn Mawr College 2013 – 2017 Real Analysis II Real Analysis I Number Theory Topology Linear Algebra Multivariable Calculus • Teaching Assistant, Center for Talented Youth, Haverford College 2014 Class: Geometry through Art

• Teaching Assistant, Center for Talented Youth, University of California, Santa Cruz 2013 Class: Geometry through Art

• Peer Math Adviser 2011-2013 Occidental College

Service

• Lightning Talk: How to draw a 4-dimensional space April 2018 Graduate School of Arts and Sciences (GSAS) Research Symposium

• Association for Women in Mathematics (AWM) Representative March 2018 Girl Scout STEM Expo

• GSAS Math Department Representative Fall 2016- Spring 2017 Bryn Mawr College

• Math Awareness Week Organizer, Bryn Mawr Math Department Organized Math Pictionary event Spring 2016 Organized Mathematical Magic event Spring 2017

• Graduate Recruiting January 2014, 2015 Joint Math Meetings

• Presentations for the Distressing Math Collective, Bryn Mawr College Not all Tangles are Epic, February 2014 One Lovely Family (of Graphs), September 2013

• Tutor for 6th Grade Math Team Spring 2013 Annandale Elementary School, Los Angeles, CA

Computer Skills

• Programming Languages

– Experienced with LATEX – Familiar with Mathematica