# 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.

### Featured Publications

(2015). A Categorical Equivalence for Product Algebras, 103(2), 345-373.

. (2017). Equivalences between subcategories of MTL-algebras via Boolean algebras and prelinear semihoops, 27(8), 2525-2549.

. (2018). Towards a probability theory for product logic: States, integral representation and reasoning, 93, 199-218.

. (2018). Representation by triples of algebras with an MV-retract. Retrieved from doi.org/10.1016/j.fss.2018.10.024

. ### 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