Daniel Champion’s Homepage


Teaching

 

Current classes:                                              

 

Math 254 (Differential Equations)

 

Past classes:

 

Math 124 (Calculus 1)

 

Math 129 (Calculus 2)

 

Math 223 (Vector Calculus)

 

 

Challenge Problems

 

Calculus 1

 

Calculus 2

 

Vector Calculus

 

Graphics

 

Gluing spherical triangles

Hyperideal triangles

Ideal tetrahedron in Hyperbolic Sapce

Scissor Congruence

GEOCAM

 

Software

 

Hyperideal tetrahedron visualizer/inspector

(Requires Mathematica 7.0 or higher)

 

 

Research

 

Interests:                                                                     

Discrete differential geometry

Geometric analysis

Topology

Set theory

Logic

Non-standard analysis

 

Documents:

CV

Research Statement

Teaching Statement

 

Links:

GEOCAM

 

Talks

 

Mobius Structures

 

Variational methods on triangulations

 

Recent Publications

 

Regge’s Einstein-Hilbert functional on the double tetrahedron

 

Constant scalar curvature metrics on boundary complexes of cyclic polytopes

 

Mobius Structures, Einstein metrics, and discrete conformal variations on piecewise flat two and three dimensional manifolds (current version of dissertation)