Robert Coulter

Robert Coulter is a Professor of Mathematical Sciences at the University of Delaware, affiliated with the College of Arts & Sciences. His expertise lies at the intersection of finite fields, cryptography, and combinatorics. He holds a B.S. from Flinders University, a BS(Hons) from the University of Queensland, and a Ph.D. in Computer Science and Electrical Engineering from the University of Queensland. His research focuses on cryptographic functions (e.g., APN/planar functions), projective geometry, and semifields, with applications in information security and combinatorial design. Notable contributions include work on differential uniformity, semifield classification, and the construction of algebraic structures like Cartesian groups.

His publications span over 50 refereed articles in journals like Finite Fields and Applications, Designs, Codes and Cryptography, and IEEE Transactions on Information Theory, with recent emphasis on planar functions, APN functions, and cryptographic polynomial constructions. He has advised 13 PhD/Master’s students, many of whom now hold academic or professional roles at institutions like King’s College, Stockton University, and NSA.

• Education:
  • B.S., Flinders University of South Australia
  • BS(Hons) First Class, University of Queensland
  • Ph.D., University of Queensland
• Research Focus:
  • Finite fields and their cryptographic applications
  • Construction of APN/planar functions
  • Projective planes and semifield classification
  • Combinatorial designs and difference sets
• Advising: Supervised 13 students, with 11 having completed their degrees (e.g., Todd Gutekunst, Emily Bergman, Li-An Chen).
• Grants & Activities: Active in research programs at UD’s Mathematical Sciences department, including the Graduate Student Mathematical Modeling Camp and Summer Math Modeling Program.