Dr. Ian Melbourne

Professor

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Biography

Ian Melbourne is a Professor of Mathematics at the University of Warwick. His primary research focuses on ergodic theory and dynamical systems, exploring the intersection between probability and stochastic analysis. Ian has contributed significantly to the academic community as the Managing Editor of Ergodic Theory and Dynamical Systems, and he is also part of the editorial board for Probability Theory Related Fields. He is involved in research that merges various mathematical disciplines and offers a deeper understanding of complex systems through the lens of ergodic theory. Additionally, he teaches several undergraduate mathematics courses, including Fourier Analysis and Theory of Ordinary Differential Equations.

Research Interests

Courses

MA433 Fourier Analysis MA254 Theory of Ordinary Differential Equations

Requirements for University of Warwick

Master Program
Requirements
GPA Requirement
Required:2.1
IELTS
Listening
Required:6
Reading
Required:6
Writing
Required:6
Speaking
Required:6
Overall
Required:6.5
TOEFL
Listening
Required:21
Reading
Required:22
Writing
Required:21
Speaking
Required:23
Total
Required:92
PTE
Listening
Required:59
Reading
Required:59
Writing
Required:59
Speaking
Required:59
Overall
Required:62
Duolingo
Overall Score
Required:120
Overall
Required:120
Prerequisites
Bachelor degree in Engineering or a related STEM discipline
Application Checklist
  • Online application form
  • Official transcripts
  • Degree certificate
  • Personal statement
  • One academic reference
  • CV/Resume
  • English language proficiency evidence
Specialization Notes

Includes General, Mechanical, Civil, Electrical, Biomedical, and Manufacturing Engineering. Most programs fall under English Band A.