Dr. Christopher Croke

Professor

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Biography

Christopher B. Croke is a Professor Emeritus in Mathematics at the University of Pennsylvania. He has a distinguished career focused on research in Riemannian Geometry. His work encompasses various aspects of differential geometry, particularly in geometric analysis and topology. Croke has contributed significantly to the understanding of geometric properties of spaces and how they relate to various fields including engineering and optics. He has a compilation of geometry papers and also delves into the application of geometric concepts in robotics. Croke remains engaged in academic discussions and seminars, sharing insights from his vast research experience. His contributions have enriched the mathematical community at UPenn and beyond.

Research Interests

Courses

No courses at present

Requirements for University of Pennsylvania

Doctorate Program
Requirements
GPA Requirement
Required:3.6
GRE General
Verbal
Required:162
Quantitative
Required:162
Overall
Required:162
GMAT
Total Score
Required:728
Overall
Required:728
TOEFL
Total
Required:115
Prerequisites
Bachelor's degree or equivalent Strong quantitative background
Application Checklist
  • Academic Transcripts
  • Letters of Recommendation (2-3)
  • Resume/CV
  • Statement of Purpose
  • Essays
Specialization Notes

Wharton Doctoral programs cover fields like Finance, Marketing, Management, and Operations, Information and Decisions.