Dr. Hermann Karcher

Professor

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Biography

Hermann Karcher is a renowned mathematician, specializing in Riemannian Geometry and submanifolds. After his chair in Mathematics at the University of Bonn, he became emeritus in 2004. His academic pursuits have included programming mathematical graphics, and since 2022 he has been writing texts on school mathematics, offering a counter-narrative to contemporary textbooks. Karcher has contributed significantly to the field through publishing various papers and manuscripts, including topics on the Riemannian center of mass and closed constant curvature space curves. His work has gained recognition for addressing the gaps in current mathematics education and for his critiques on the state of pedagogy in mathematics teaching. Karcher remains active in the academic community, focusing on practical aspects and visualizations that benefit the learning process in mathematics.

Research Interests

Experience

Professor

1980-01-01 — 2004-12-31

University of Bonn • Bonn

Held a professorship in mathematics, focusing on Riemannian geometry and mathematical visualization.

Requirements for University of Bonn

Master Program
Requirements
GPA Requirement
Required:2.5
IELTS
Overall
Required:6
TOEFL
Total
Required:79
GRE Subject
Prerequisites
Bachelor's degree in mathematics 120 ECTS credit points from mathematical modules Knowledge of Analysis and Linear Algebra Basic knowledge of Numerical Mathematics, Probability Theory, and Discrete Mathematics
Application Checklist
  • Curriculum vitae (CV) with photo
  • Degree certificates and transcripts
  • Statement of purpose
  • Letter of recommendation
  • Proof of English proficiency
Specialization Notes

GRE Subject Test in mathematics is strongly recommended for non-European bachelor degrees.