placeholder

Sara Ugolini

Visiting Assistant Professor

What I do

I am a Visiting Assistant Professor at the Department of Mathematics of the University of Denver.

Specialization(s)

mathematical logic, universal algebra

Professional Biography

I am a researcher in mathematical logic. I come from Italy, where I graduated in mathematics at the University of Siena, and I obtained my PhD at the University of Pisa. My research interests include algebraic logic, fuzzy logic, and approximate reasoning.

Degree(s)

  • Ph.D., Mathematical Logic, University of Pisa, 2018
  • MS, Mathematics, University of Siena, 2013
  • BS, Mathematics, University of Siena, 2011

Research

My research mostly deals with the study of the algebraic semantics of substructural logics, with a particular focus on t-norm based fuzzy logics. I am also studying the logico-algebraic foundations for the probability theory of many-valued events.

Areas of Research

algebraic logic
mathematical fuzzy logic
reasoning under uncertainty

Featured Publications

  • A Categorical Equivalence for Product Algebras
  • Equivalences between subcategories of MTL-algebras via Boolean algebras and prelinear semihoops
  • Towards a probability theory for product logic: States, integral representation and reasoning
  • Representation by triples of algebras with an MV-retract

Presentations

  • A uniform way to build symmetric DL-algebras
  • Hyperstates on involutive bipartite MTL-algebras: a preliminary investigation
  • On some varieties generated by generalized rotations of residuated lattices
  • States of free product algebras
  • Splittings in MTL