Address: Department of Mathematics, Cornell University, 111 Malott Hall, Ithaca, NY, 14853-4201, USA Phone: (607) 255-9351 E-mail: hb278@math.cornell.edu homepage: http://www.math.cornell.edu/ hrbaik/ Education Ph.D. Cornell University, Mathematics, May 2012 - Aug. 2014. Advisor: John H. Hubbard (William P. Thurston until Aug. 21, 2012.) Thesis: Laminations on the circle and Hyperbolic geometry Visiting Graduate, University of California, Davis, Mathematics, August 2012 - August 2013. M.S. Special. Cornell University, Mathematics, May 2012 Advisor: William P. Thurston B.S. Korea Advanced Institute of Science and Technology (KAIST), Mathematic, August 2009. graduation with honors (Summa cum laude) Advisor: Hong-Oh Kim Senior thesis: Interesting properties of Carathéodory metric, Kobayashi metric and their applications Research field : theory Low-dimensional topology, geometric group theory, complex dynamics and Teichmüller Current Research Topics : Group action on the circle which arises naturally in low-dimensional topology/geometric group theory with the emphasis on the invariant laminations, the geometry and dynamics of self-homeomorphisms of surfaces of infinite type, codimension-1 objects (branched surfaces, laminations and foliations) in 3-manifolds, space of Kleinian groups equipped with Chabauty topology, topology and geometry of the space of complex polynomials, and mapping tori with generalized pseudo-anosov monodromy. Publications 1. The Space of Geometric Limits of One-generator Closed Subgroups of PSL 2 (R) (with L. Clavier), Algebr. Geom. Topol., Vol 13, Issue 1 (2013), pp. 549-576. 2. Two articles in the book Encyclopedia of Mathematics and Society: Geometry in Society (pp. 427-433), and Measurements, Volume (pp. 651-653), Salem Press (2011). Preprints 1. Fuchsian Groups, Circularly Ordered Groups, and Dense Invariant Laminations on the Circle, arxiv:1308.3022v5 [math.gt], to appear in Geom. Topol. 2. The Space of Geometric Limits of Abelian Subgroups of PSL 2 (C) (with L. Clavier), arxiv:1204.5269v1 [math.gt], submitted. 1
3. Introduction to Chabauty topology and Pictures of the Chabauty space of C (with L. Clavier), arxiv:1209.0221v2 [math.gt]. 4. Right-Angled Artin Subgroups of the C Interval Diffeomorphism Group (with S. Kim and T. Koberda), arxiv:1404.5559v2 [math.gt], submitted. Work in preparation 1. Degree d invariant laminations (with Gao Yan, J. Hubbard, K. Lindsey, Tan Lei, D. Thurston, and W. Thurston). 2. The Space of Left-invariant Circular Orderings (with E. Samperton), 3. Tits Alternative for Laminar Groups (with J. Alonso). 4. Foliations in 3-manifolds arising from an action on R. Awards and Honors [2013] Robert John Battig Graduate Prize, Cornell University - awarded annually to a math Ph.D. candidate based on excellence and promise in mathematics. [2009-2010] Graduate Fellowship, Cornell University. [2003-2008] The Presidential Science Scholarship, President of South Korea. [2008] Best Senior Thesis Prize, KAIST. [2007] Honorable mention, University Students Contest of Engineering Mathematics, Korea. [2007] Excellent Academic Achievement Scholarship, KAIST. Conference Organization Talks Whats Next? the mathematical legacy of Bill Thurston, June 23-27, 2014, Cornell University. Local Organizing Committee. Invited Talks Topology Seminar, Laminations on the Circle and Hyperbolic Geometry, Yale University, USA (May. 6, 2014). G 3 conference, Laminations on the Circle and Hyperbolic Geometry, Pensacola, USA (Mar. 27, 2014). Geometry and Topology Seminar, Laminations on the Circle and Cannon s Conjecture, CUNY Graduate Center, USA (Dec. 3, 2013). Dynamics Seminar, Laminations on the Circle and Cannon s Conjecture, Universidad de la República Uruguay, Uruguay (Nov. 22, 2013). Seminar on Actions on R-trees and laminations, Universal Circle: a 3-manifold version of the lord of the rings, Universidad de la República Uruguay, Uruguay (Nov. 18, 2013). 2
Topology Seminar, Laminations on the Circle and Cannon s Conjecture, University of Texas at Austin, USA (Nov. 4, 2013). Special Session on Geometric Aspects of Topology and Group Theory, Fuchsian Groups, Circularly Ordered Groups, and Dense Invariant Laminations on the Circle, AMS Fall Eastern Sectional Meeting, Temple University, USA (Oct. 12, 2013). Topology Seminar, Laminations on the circle and hyperbolic geometry, SUNY Buffalo, USA (Oct. 4, 2013). Topology Seminar, Laminations on the circle and hyperbolic geometry, Indiana University Bloomington, USA (Sep. 18, 2013). Topology Seminar, Circular-Orderability of Three-Manifold Groups and Laminations of the Circle, KAIST, Korea (Jun. 4, 2013). Topology & Dynamics Seminar, A Characterization of Mobius Group Actions via Invariant Laminations, Seoul National University, Korea (May. 28, 2013). Mathematics Seminar, A Characterization of Mobius Group Actions via Invariant Laminations, KIAS (Korea Institute for Advanced Study), Korea (May. 21, 2013). USTARS(Underrepresented Students in Topology and Algebra Research Symposium), Groups acting on the circle with dense invariant laminations, Purdue University, USA (Apr. 21, 2013). Geometry/Topology Seminar, Thurston s view on the space of complex polynomials, University of California, Davis, USA (Apr. 9, 2013). Research Seminar in Geometry/Topology, Groups acting on the circle with dense invariant laminations, Stanford, USA (Mar. 8, 2013). Geometry/Topology Seminar, Groups acting on the circle with dense invariant laminations, University of California, Davis, USA (Mar. 5, 2013). Séminaire COOL, Groups acting on the circle with dense invariant laminations, Institut Henri Poincaré, Paris, France (Jan. 18, 2013). Dynamics Seminar, Groups acting on the circle with dense invariant laminations, University of Angers, Angers, France (Jan. 15, 2013). Graduate Conference in Algebra and Topology, Space of closed subgroups of PSL 2 (C) in Hausdorff topology, Binghamton University, USA (Nov.12, 2011). 37th Annual New York Regional Graduate Mathematics Conference, Thurston s topological characterization of rational maps, Syracuse University, USA (Apr.16, 2011). Graduate Conference in Algebra and Topology, Veech Groups of Translation Surfaces, Binghamton University, USA (Nov.6, 2010). Poster Presentation Workshop: Topology, Geometry and Group Theory, Informed by Experiment, Laminations on the circle and hyperbolic geometry, ICERM, Brown University, USA (Oct. 21-25, 2013). Topology festival, The Space of Closed Abelian Subgroups of PSL 2 (C), Cornell University, USA (May. 4-7, 2012). 3
Talks in Kleinian group seminar at Cornell The space of 1-generator closed subgroups of PSL 2 (C) and its boundary, part 2 (joint talk with L. Clavier) (Nov.11, 2011) The space of 1-generator closed subgroups of PSL 2 (C) and its boundary, part 1 (joint talk with L. Clavier) (Nov.4, 2011) Boundary groups of QF (the space of quasi-fuchsian groups) (Oct.14, 2011) More precise algorithm to detect discrete groups (Sep.30, 2011) Finding discrete groups using the centers of isometric circles (Sep.23, 2011) Geometry of Kleinian manifolds corresponding to once punctured torus groups, Part 2 (Sep.16, 2011) Geometry of Kleinian manifolds corresponding to once punctured torus groups, Part 1 (Sep.2, 2011) Discreteness Criterion in OPTi and Jorgensen s parametrization (Aug.26, 2011) Other talks at Cornell Olivetti Club (Cornell mathematics graduate student seminar), Why is hyperbolic geometry important in low-dimensional topology? (Mar. 7, 2014) Topology and Geometric Group Theory Seminar, Laminations on the circle and hyperbolic geometry (Oct. 8, 2013) Bernstein seminar, A series of lectures on Dynamics and geometry of surface homeomorphisms (4 lectures) (Nov. 3, 8, 10, 15, 2011) Olivetti Club, Universal Circle (Nov.15, 2011) Olivetti Club, The Fenchel Nielsen Coordinates of Teichmuller Space (Nov.16, 2010) Seminar in Analysis, Grid Graphs and Lattice Surfaces, Part 2 (Nov.9, 2010) Seminar in Analysis, Grid Graphs and Lattice Surfaces, Part 1 (Nov.4, 2010) Teaching Experience/Outreach [Spring 2014] Instructor, MATH 1110: Calculus I, Cornell University, USA. [Fall 2013] Teaching Assistant, MATH 6520: Differentiable Manifolds, Cornell University, USA. [Fall 2011] Teaching Assistant, MATH2230: Theoretical Linear Algebra and Calculus, Cornell University, USA. [Spring 2011] Teaching Assistant, MATH6510: Algebraic Topology I, Cornell University, USA. [Fall 2010] Teaching Assistant, MATH3560: Groups and Geometry, Cornell University, USA. [Jun. 2007 - Aug. 2009] Volunteer Teaching for middle school students from low-income families, Edushare (NPO), Korea. [Dec. 2008 - Feb. 2009] Fulltime teacher, Physics and Calculus, Young Jin Private Institute, Korea. 4
Services [Fall 2008] Teaching Assistant, Corporate Finance, KAIST, Korea. [Spring 2008] Teaching Assistant, Introduction to management, KAIST, Korea. [Fall 2004] Teaching Assistant, Mathematical Physics, KAIST, Korea. [Jan. 2014 - May. 2014] Organizer for Topology and Geometric Group Theory Seminar, Cornell. [Aug. 2013 - May. 2014] Organizer for Dynamics seminar, Cornell. [Aug. 2013 - Dec. 2013] Organizer for Graduate student Geometric Topology Workshop, Cornell. [Aug. 2011 - Dec. 2011] Organizer for Kleinian group seminar, Cornell. [Aug. 2011 - Dec. 2011] Organizer for Olivetti Club (graduate student seminar), Cornell. [Aug. 2010 - Dec. 2010] Organizer for Olivetti Club, Cornell. [Aug. 2009 - May. 2010] Organizer for What is.. seminar, Cornell. [Jun. 2007 - Aug. 2009] Teacher and head of a branch in Edushare (NPO providing free education to students from low-income families). Other Activities [Jan. 2006 - Mar. 2007] Analyst, Planning and Management Division, Webcash co.,ltd. [Jan. 2005 - Dec. 2005] Programmer, Planning and Management Division, Webcash co.,ltd. [Jun. 2005 - Aug. 2009] Complexity Research and Education Network. [Mar. 2003 - Dec. 2006] Club M-Square (Mathematics Problem Solving Group in KAIST). Professional Memberships American Mathematics Society (AMS) References John Hubbard, Cornell University, hubbard@math.cornell.edu Dylan Thurston, Indiana University Bloomington, dpthurst@indiana.edu Joel Hass, University of California, Davis, hass@math.ucdavis.edu John Smillie, Cornell University, smillie@math.cornell.edu Allen Hatcher, Cornell University, hatcher@math.cornell.edu Cameron Gordon, University of Texas at Austin, gordon@math.utexas.edu Tan Lei, Université d Angers, tanlei@math.univ-angers.fr Maria S. Terrell, Cornell University, maria@math.cornell.edu (Teaching Reference) 5