Deniz Karlı

Deniz Karlı serves as Professor of Mathematics at Işık University's Faculty of Engineering and Natural Sciences, where he has maintained continuous full-time faculty status since 2012. His academic trajectory spans prestigious institutions across three countries, reflecting a globally informed perspective on mathematical research and pedagogy.

His educational foundation includes:

• PhD in Mathematics from University of Connecticut (2005-2010), dissertation on "Littlewood-Paley Functions from a Probabilistic Point of View" supervised by Prof. Richard F. Bass
• Master's in Mathematics from Boğaziçi University (2002-2005), thesis on "The group algebra L1(G) of a compact abelian group G" supervised by Prof. Ali Ülger
• Bachelor's in Mathematics from Boğaziçi University (1997-2002)

Professor Karlı's research program bridges pure and applied mathematics with remarkable versatility. His theoretical work in probability theory, stochastic processes, and harmonic analysis has evolved to include significant engineering applications. Recent publications demonstrate how fractional calculus interfaces with stable processes, while his innovative "focusing neuron model" represents a novel contribution to artificial neural network architecture. His interdisciplinary approach extends to optimizing wastewater treatment systems and developing stochastic inventory models incorporating 3D printing technology.

His scholarly contributions have been recognized through the Excellence in Teaching Award from University of British Columbia (2012) and multiple teaching excellence acknowledgments from University of Connecticut.

• Excellence in Teaching Award 2012 (University of British Columbia)
• Ders Vermede Üstün Başarı (University of Connecticut)
• Öğretimde Mükemmellik Ödülü (Excellence in Teaching Award)

As principal investigator on multiple Tübitak-funded projects exceeding 1 million TL in total funding, Professor Karlı leads research teams comprising PhD candidates, master's students, and undergraduates. His current work explores the intersection of stochastic modeling with emerging technologies, particularly in spare parts inventory optimization using 3D printers and novel approaches to economic order quantity models through fractional calculus. His teaching portfolio spans undergraduate through doctoral levels, including advanced courses in Real Analysis, Functional Analysis, and Probability.