Dr. Klaus Kröncke

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Research Interests

Differential Geometry Geometric Analysis Partial Differential Equations General Relativity Einstein Metrics Ricci Solitons Geometric Flows Ricci Flow

Courses

Calculus of Variations Differential Geometry Mathematical Numerical Analysis Multivariable Calculus

Requirements for Royal Institute of Technology

Master Program
Requirements
GPA Requirement
Required:3.7
IELTS
Listening
Required:5.5
Reading
Required:5.5
Writing
Required:5.5
Speaking
Required:5.5
Overall
Required:6.5
TOEFL
Writing
Required:20
Total
Required:90
PTE
Writing
Required:61
Overall
Required:62
Prerequisites
Bachelor's degree (180 ECTS) in a relevant field Calculus in one variable Linear Algebra Probability Theory and Statistics
Application Checklist
  • Certificates and diplomas from previous university studies
  • Transcript of completed courses and grades
  • Proof of English proficiency
  • Copy of passport
  • Curriculum Vitae (CV)
  • Letter of Motivation
  • Summary sheet (if required by program)
  • Letters of Recommendation (standard for most programs)
Specialization Notes

Specific requirements apply to all departments. For Architecture, a portfolio is mandatory and submitted via a separate KTH system.