Dr. P J Collins

Assistant Professor

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Biography

P.J. Collins is an Assistant Professor in the Department of Advanced Computing Sciences at Maastricht University, where he has been a faculty member since January 2011. He holds a Ph.D. in Applied Mathematics from the University of California, Berkeley, obtained in 1999. His primary research interests include formal methods for analysis and verification of nonlinear hybrid dynamic systems, alongside the mathematical analysis of chaotic dynamical systems. Collins is one of the main developers of Ariadne, a C++/Python library focusing on formal verification for cyber-physical systems, in collaboration with the University of Verona. His scientific contributions also explore areas such as topological methods for computational symbolic abstractions and the rigorous calculation in systems biology, particularly in electrophysiology and cardiac myocytes. He has extensive experience in software expertise, focusing on various topics including topological dynamics, control systems theory, and computability in the realms of hybrid systems. Throughout his career, Collins has held several research positions in renowned institutions, contributing significantly to the fields of mathematics and computer science, as evident from his project involvements and research collaborations.

Research Interests

Experience

Assistant Professor

2011-01-01 — Present

Maastricht University • Maastricht, Netherlands

Teaching and conducting research in applied mathematics, focusing on nonlinear hybrid dynamic systems.

Scientific Researcher

2010-11-01 — 2010-12-01

Dipartimento di Informatica, Universita degli Studi di Verona • Verona, Italy

Engaged in research on computational methods and algorithms.

Scientific Researcher

2005-04-01 — 2010-03-01

Centrum voor Wiskunde en Informatica • Amsterdam, Netherlands

Worked on projects funded by the NWO Vernieuwingsimpuls Vidi grant.

Postdoctoral Researcher

2003-04-01 — 2004-12-01

Centre Mathematics Computer Science • Amsterdam, Netherlands

Focused on computation and control of hybrid systems.

Research Fellow Lecturer

2000-01-01 — 2002-06-01

Department of Mathematical Sciences, University of Liverpool • Liverpool, UK

Conducted lectures and research supported by a Leverhulme Special Research Fellowship.

Requirements for Maastricht University

Master Program
Requirements
GPA Requirement
Required:3
IELTS
Listening
Required:6.5
Reading
Required:6.5
Writing
Required:6.5
Speaking
Required:6.5
Overall
Required:6.5
TOEFL
Listening
Required:20
Reading
Required:20
Writing
Required:20
Speaking
Required:20
Total
Required:90
GMAT
Total Score
Required:515
Writing
Required:4
Overall
Required:515
Prerequisites
Relevant Bachelor degree in Business, Economics, or related field Sufficient knowledge of quantitative methods and statistics
Application Checklist
  • Grades transcript of bachelor's programme
  • Copy of diploma
  • Curriculum Vitae
  • Motivation Letter (1-2 pages)
  • Passport picture
  • Copy of valid passport or ID
  • Permission for document verification form
Specialization Notes

The School of Business and Economics (SBE) encompasses departments like Organization, Strategy, Entrepreneurship, Finance, and Economics.