معرفی
Muhammed Uludag is a Professor of Mathematics at Galatasaray University, specializing in number theory, dynamical systems, and algebraic geometry. His work often intersects with modular group theory, transfer operators, and complex analysis. He is a co-organizer of significant mathematical events like the Journées Arithmétiques 2019 and has contributed to projects such as TEMOG, exploring connections between mapping class groups and Thompson's groups.
Research Interests: Dr. Uludag focuses on the modular group, the conumerator function, and the involution 'jimm,' which explores symmetries in Lebesgue's measure and transcendental number theory. His recent work includes studies on dynamical systems related to continued fractions, binary quadratic forms, and Teichmüller theory. He actively collaborates on projects like InfoMod, a computational tool for Gauss' binary quadratic forms.
Publications: Over 20 peer-reviewed articles span topics from measure theory to geometric group theory. Notable works include A subtle symmetry of Lebesgue's measure (2017) and Jimm, a fundamental involution (2015), exploring exotic involutions and transcendental conjectures.
Awards: Recipient of the Turkish Academy of Sciences Award (2010) for translating Proofs From The Book into Turkish, a seminal text in mathematical exposition.
Teaching & Outreach: Teaches advanced courses such as Ergodic Theory and contributes to initiatives like the Istanbul Graduate School of Mathematics. His work bridges pure mathematics with pedagogical innovation, emphasizing conceptual clarity over technicality.
