Logic and Foundations Group

The Logic and Foundations group in the Department of Mathematical Sciences conducts research in the application of algebraic and topological structures to logic and foundational issues.


Bezhanishvili-1.jpg Harding.jpg pamorand-150x150.jpeg Joel Lucero-Bryan Ilya-208x250.png
Guram Bezhanishvili John Harding Pat Morandi (Emeritus) Joel Lucero-Bryan Ilya Shapirovskiy
At nearby labs and government facilities: Tim Hannan, Alex Pogel.


Current research topics  

  • Ordered algebraic structures, lattices with operators, and their applications to logic
  • Topological and order-topological models of non-classical logics, algebraic aspects of fuzzy logic
  • Orthomodular structures and quantum logic, intuituionistic and modal logics
For more details, see our homepages at Guram, John, Pat, Ilya, or our researchgate pages at Guram, John, Pat, Ilya.

For prospective graduate students 

We offer a good range of graduate courses in areas of foundations including courses:
Special topics classes are also offered. Foundations is one of the course sequences for our PhD comprehensive exam. We continue to have a fine group of Master’s and PhD students working in various areas of foundations.

Events and Associations



In May 2019, Maria Cruz and Kristina Brantley received their PhDs. In May 2021, Luca Carai received his PhD.    

Current PhD Students
Gutierrez-Hougardy, Uzias
He, Jianfeng
Khan, Mashiath
Melzer, Sebastian
Peinado Portillo, Miguel
Raviprakash, Ranjitha
Selgas, Sophia
Sliusarev, Vladislav

Current Masters 
Adams, Mason
Stewart, Aaron

Points of contact