Research Interests

• Topology
• 3-manifolds
• Heegaard splittings 

Publications   

• Surfaces, self-gluing, and sufficiently complicated 3-manifolds (with D. Bachman and E. Sedgwick), in progress.
  
  
• Stabilization, amalgamation, and curves of intersection of Heegaard splittings, submitted.
  
  
• Degeneration of Heegaard genus, a survey (with D. Bachman), Geometry and Topology Monographs 12 (2007) 1-15.
  
  
• Stabilizing Heegaard splittings of toroidal 3-manifolds, Topology and Its Applications 154, no. 9 (2007) 1841-1853. arxiv version
  
  
• Non-isotopic Heegaard splittings of Seifert fibered spaces (with D. Bachman), Algebraic and Geometric Topology 6 (2006) 351-372.
  
  
• Heegaard splittings of toroidal 3-manifolds, Ph.D. Thesis, The University of Texas at Austin (2006). Most of the main results can be found in this preprint.

Education

• 2006 Ph.D. The University of Texas at Austin (Mathematics)
• 1999 B.A. Pomona College

 Courses Taught

• MATH 131 Calculus I
• MATH 132 Calculus II
• MATH 231 Calculus III
• MATH 403 Modern Algebra
• MATH 410 Independent Study (Topology)
• MATH 495 Thesis Course (Algebraic Topology)