Umut Caglar

Associate Teaching Professor

Mathematics and Statistics


Phone: (305) 348-4336

Email: ucaglar@fiu.edu

Office: DM 419B

Website

Umut Caglar

Umut is an Associate Teaching Professor at Florida International University.

He received his Ph.D. in 2014 from Case Western Reserve University. His research interests are convex geometric analysis, information theory, and analysis. His Ph.D. thesis focused on information-theoretic inequalities for log concave functions and their relations with inequalities involving convex bodies from convex geometry. His research papers have been published in the leading journals of Mathematics.

Umut is also an innovative and dedicated teacher. He has contributed to transforming the way lower-level math courses are taught and to improving student retention and success by using active learning techniques, emphasizing critical thinking, and using technology. He was also involved in redesigning many math courses to improve the teaching and learning experience at FIU.

Selected Awards

  • Rewarding Excellence in Teaching Incentives (RETI) Award (2022 and 2025),
  • Faculty Senate Excellence in Teaching Award (2024-comes with FIU Medal),
  • Faculty Award for Excellence in Gateway Teaching (2023-comes with FIU Medal)
  • Top Scholars Award (FIU-2022).
  • College of Arts, Sciences and Education-Teaching Awards (2019, 2021 and 2024)

Selected Service Work

  • He has been serving as a senator at the Faculty Senate since Fall 2021.
  • He has been serving as a Hybrid Faculty Fellow at the Center for the Advancement of Teaching since Fall 2021
  • He has been serving as a Voces Faculty Fellow since Fall 2022
  • He has been serving as a Graduate Committee member of multiple doctoral students
  • He served as an External Evaluator for the Department of Mathematics at Norfolk State University in April 2025
  • He served in the Experience Committee in FIU’s 2030 Strategic Plan - Fall 2023 and Spring 2024.

Research Areas

His research interest is convex geometric analysis. He works on information-theoretic inequalities for functions (mainly log-concave) and their relations with inequalities involving convex bodies from convex geometry.

Selected Publications

  • Divergence for s-concave and log concave functions                                                               Advances in Mathematics, Vol. 257, pages: 219-247 (2014)                                                         Jointly with E. Werner