This comment is not public.
Hatim Boustique serves as an adjunct faculty member in the Mathematics department at the University of Central Florida. He earned his Ph.D. in Mathematics from the University of Central Florida in 2008, with a dissertation entitled "Lattice-Valued Convergence: Quotient Maps," under the supervision of advisors Gary Douglas Richardson and Ram N. Mohapatra. Prior to his doctoral studies, Boustique obtained a Master of Science in Computer Science from Mohammed V Agdal University and a Bachelor of Science in Computer Science.
Boustique's research specializes in lattice-valued convergence spaces, exploring topics such as quotient maps, convergence approach spaces, lattice-valued Cauchy spaces, fuzzy interior operators, and convergence semigroup actions. His key publications include "Compactification: Limit Tower Spaces" (2017), "Convergence Approach Spaces: Actions" (2015), "Modifications: Lattice-valued structures" (2013), "Regularity: Lattice-valued Cauchy spaces" (2012), "A note on regularity" (2011), "Convergence semigroup categories" (2013), "Quotient Maps: Frame-Valued Spaces" (2009), "Lattice-valued fuzzy interior operators" (2009), "Convergence semigroup actions: generalized quotients" (2009), and "A decomposition algorithm for limiting average Markov decision problems" (2003, co-authored with Mohammed Abbad). He has presented his work at professional conferences, including a talk on lattice-valued Cauchy spaces at the 2011 Spring Southeastern Section Meeting of the American Mathematical Society. In parallel to his role at UCF, Boustique holds a position as Professor of Mathematics at Valencia College, where he was honored with the John & Suanne Roueche Excellence Award in 2018. His contributions have garnered 87 citations across his publications.
