- Shadows of mapping class groups: capturing convex cocompactness
- Geometric Group Theory January 19, 2000
- Compressing totally geodesic surfaces Christopher J. Leininger
- Oneended subgroups of right--angled Artin groups Christopher J. Leininger #
- The lower central series and pseudo-Anosov dilatations Benson Farb, Christopher J. Leininger, and Dan Margalit
- Connectivity of the space of ending laminations. Christopher J. Leininger
- The geometry of right angled Artin subgroups of mapping class groups
- Equivalent curves in surfaces Christopher J. Leininger
- Connectivity of the space of ending laminations. Christopher J. Leininger # & Saul Schleimer +
- Universal CannonThurston maps and the boundary of the curve complex
- 11.111.3. Two and three dimensional vectors: sum, scalar product, laws, determinants, dot product/cross product (computation and geometric interpretation--angles, perpendicularity, parallelism, areas, volumes), pro-
- Surgeries on one component of the Whitehead link are virtually fibered
- Honors problem 4: complex series. A complex series is a series
- Length and eigenvalue equivalence C. J. Leininger , D. B. McReynolds + , W. D. Neumann # and A. W. Reid
- Compressing totally geodesic surfaces Christopher J. Leininger
- KLEINIAN GROUPS WITH DISCRETE LENGTH SPECTRUM RICHARD D. CANARY AND CHRISTOPHER J. LEININGER
- Journal of Knot Theory and Its Ramifications #World Scientific Publishing Company
- The universal CannonThurston map and the boundary of the curve complex
- Journal of Knot Theory and Its Ramifications c World Scientific Publishing Company
- Christopher Jay Leininger The Dissertation Committee for Christopher Jay Leininger
- ACCIDENTAL PARABOLICS IN MAPPING CLASS CHRISTOPHER J LEININGER
- Stokes Theorem Stoke's Theorem Suppose S is an oriented bounded surface with positively oriented boundary
- Rough outline Important: You must present your ID when you turn in your exam!! Your exam
- Injections of mapping class groups. JAVIER ARAMAYONA
- Instructions: Do every problem. For full credit, be sure to show all your work. The point is to show me that you know HOW to do the problems, not that you can get the right answer, possibly
- Christopher Jay Leininger The Dissertation Committee for Christopher Jay Leininger
- The complex of curves and punctured surfaces Chris Leininger (UIUC)
- LENGTH SPECTRA AND DEGENERATION OF FLAT METRICS MOON DUCHIN, CHRISTOPHER J. LEININGER, AND KASRA RAFI
- TWO-GENERATOR SUBGROUPS OF THE PURE BRAID CHRISTOPHER J LEININGER AND DAN MARGALIT
- Trees and mapping class groups Richard P. Kent IV
- Length and eigenvalue equivalence C. J. Leininger
- KLEINIAN GROUPS WITH DISCRETE LENGTH SPECTRUM RICHARD D. CANARY AND CHRISTOPHER J. LEININGER
- Separable subgroups of mapping class groups 1 Separable subgroups of mapping class groups
- A combination theorem for Veech subgroups of the mapping class group
- One-ended subgroups of rightangled Artin groups Christopher J. Leininger
- Some point-set topology August 23, 2006
- Differential Geometry: Notes on groups and August 30, 2006
- Honors question 3: Complex numbers (revisited). Arithmetic of complex numbers
- Final Exam Review Sheet For the final exam, you should
- Math 520 Midterm: Take-home portion. October 6, 2006
- Induced maps and bases October 25, 2006
- Surgeries on one component of the Whitehead link are virtually fibered
- Some solutions and notes for honors problem 1 (a) There is a small typo here. This should have read "nonnegative" instead of
- Theorem. If < Isom+ ) is a cocompact Fuchsian group, then
- Rough outline Important: You must present your ID when you turn in your exam!! Your exam will be REFUSED
- Trees and mapping class groups Richard P. Kent IV # , Christopher J. Leininger + , Saul Schleimer #
- Equivalent curves in surfaces Christopher J. Leininger
- Separable subgroups of mapping class groups 1 Separable subgroups of mapping class groups
- Differential Geometry: Notes on notation. November 27, 2006
- LENGTH SPECTRA AND DEGENERATION OF FLAT METRICS MOON DUCHIN, CHRISTOPHER J. LEININGER, AND KASRA RAFI
- ABSTRACT COMMENSURATORS OF BRAID GROUPS CHRISTOPHER J LEININGER AND DAN MARGALIT
- Injections of mapping class groups. JAVIER ARAMAYONA
- Subgroups of mapping class groups from the geometrical viewpoint
- Small dilatation pseudoAnosovs and 3--manifolds Benson Farb, Christopher J. Leininger, and Dan Margalit #
- A combination theorem for Veech subgroups of the mapping class group
- Honors problem 1: Complex numbers. Arithmetic of complex numbers
- Honors problem 1: Complex numbers. Arithmetic of complex numbers
- 3-Manifold Topology: Problem Set 1 1. Prove that if M is an nmanifold and acts properly discontinuously and
- ON THE NUMBER AND LOCATION OF SHORT GEODESICS IN MODULI SPACE
- Honors problem 7: complex series. A complex series is a series
- August 29, 2011 Lecture Note Series, IMS, NUS --Review Vol. 9in x 6in hypstr2rev DEGENERATIONS OF HYPERBOLIC STRUCTURES ON
- ON THE NUMBER AND LOCATION OF SHORT GEODESICS IN MODULI SPACE
- Some solutions and notes for honors problem 1 (e) Formally, a proof by induction is what's required (see below for more on
- Honors problem 7: complex series. A complex series is a series
- Math 231 Honors problem 3 solution Problem 80, page 686.
- Hyperbolic spaces in Teichmuller spaces Christopher J. Leininger and Saul Schleimer
