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Przeworski, Andrew - Department of Mathematics, College of Charleston
BALLS IN HYPERBOLIC 3-MANIFOLDS ANDREW PRZEWORSKI
PACKING DISKS ON A TORUS ANDREW PRZEWORSKI
Monday November 9, 2009 Answer all questions. If you do not show your work, you will not receive full
Tubes in Hyperbolic 3-Manifolds Andrew Przeworski
CONES EMBEDDED IN HYPERBOLIC MANIFOLDS ANDREW PRZEWORSKI
Solutions to Counting Problems Section 5.1
A UNIVERSAL UPPER BOUND ON DENSITY OF TUBE PACKINGS IN HYPERBOLIC SPACE
Solutions to Homework 6 Section 11.2
DENSITY OF TUBE PACKINGS IN HYPERBOLIC SPACE ANDREW PRZEWORSKI
DELAUNAY CELLS FOR ARRANGEMENTS OF HYPERPLANES IN HYPERBOLIC SPACE
Solutions to Homework 10 Section 4.4
Solutions to Homework 3 Section 1.6
Friday September 18, 2009 Answer all questions. You are not permitted to use textbooks or notes.
VOLUMES OF HYPERBOLIC 3-MANIFOLDS OF BETTI NUMBER AT LEAST 3
Solutions to Homework 4 Section 2.1
Solutions to Homework 1 Section 1.1
Solutions to Homework 5 Section 2.3
Friday October 16, 2009 Answer all questions. If you do not show your work, you will not receive full
Solutions to Homework 8 Section 3.4
Solutions to Homework 9 Section 11.3
Solutions to Homework 7 Section 3.1
Wednesday December 16, 2009 Answer all questions. If you do not show your work, you will not receive full
Solutions to Homework 2 Section 1.3
Tubes in Hyperbolic 3Manifolds Andrew Przeworski
VOLUMES OF HYPERBOLIC 3MANIFOLDS OF BETTI NUMBER AT LEAST 3
CONES EMBEDDED IN HYPERBOLIC MANIFOLDS ANDREW PRZEWORSKI
BALLS IN HYPERBOLIC 3-MANIFOLDS ANDREW PRZEWORSKI
Tubes in Hyperbolic 3-Manifolds Andrew Przeworski
Friday February 17, 2012 This is the take-home portion of the exam. Turn this one problem in on
A DUALITY PROPERTY OF DELAUNAY FACES FOR LINE ARRANGEMENTS IN H3
Solutions to Homework 3 Section 8.6
Solutions to Homework 5 Section 9.5
Solutions to Homework 1 Section 8.1
Solutions to Homework 4 Section 9.3
AN UPPER BOUND ON DENSITY FOR PACKINGS OF COLLARS ABOUT HYPERPLANES IN Hn
Solutions to Homework 2 Section 8.4