New Mexico State University

News

• In 2023, our group received a 5-year NSF grant for a Research Training Group in Logic and its Application
• John Harding was a co-organizer of AMS Special Session on Algebraic Structures in Topology, Logic, and Arithmetic I, AMS Sectional Meeting, University of Texas at El Paso, September 17-18, 2022. 
• Fall 2021: new weekly seminar in Foundations.
• On June 9-13, the BLAST 2021 international online conference was held in our Department. We had about one hundred talks and more than 250 registered participants from 30+ countries.
  
• In May 2021, Luca Carai received his PhD.

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 John, Pat, Ilya, or our researchgate pages at John, Pat, Ilya.

For Prospective Graduate Students

• Logic and Set Theory
• Mathematical Structures in Logic 
• Universal Algebra and Model Theory 

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

• We are involved in a weekly Algebra Seminar.
• We are involved in the organization and/or scientific committees of a good number of conferences held in the local area, regionally, and internationally. These include AiML, BLAST, IQSA, QPL, TACL, and TOLO.
• John Harding is the treasurer of the International Quantum Structures Association.

Points of Contact

J. Harding, I. Shapirovskiy.

Participating Students