Graduate School of Applied Mathematics, Thesis

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Thesis (467)

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Akcengiz, Ziya (2)
Akdoğan, Emre (2)
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Natural Sciences (102)
Engineering and Technology (64)
Cryptography. (55)
Data encryption (Computer science). (30)
Finance. (28)

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2004 - 2009 (74)
2010 - 2019 (229)
2020 - 2026 (164)

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Master Thesis (316)
Ph.D. Thesis (151)

Recent Submissions

Implementation and validation of pseudorandom number generator based on Chua's circuit Şahin, Barış; Demirköz, Melahat Bilge; Yayla, Oğuz; Department of Cryptography (2026-9-28) Chaotic systems, which are hypersensitive to initial conditions and minor changes in system parameters, are prominently utilizable for cryptographic hardware applications. The objective of this study is to construct a cryp...
BEYOND OWNERSHIP: REPRESENTING ATTRIBUTES, TRUST, AND RIGHTS IN DECENTRALIZED SYSTEMS Pekel, Umut; Yayla, Oğuz; Department of Cryptography (2026-9-28) Blockchain systems were originally designed to maintain balances, ownership records, token identifiers, and transactional state without relying on a single trusted intermediary. These abstractions remain central to decentr...
Physics-Informed Neural Networks for Laplace and Steklov Eigenvalue Problems Zengin, Kerem; Türk, Önder; Department of Scientific Computing (2026-9-03) This thesis investigates Physics-Informed Neural Network (PINN) approximations of the Laplace and Steklov eigenvalue problems (EVPs). For the Laplace EVP, the principal formulation choices, which appear in various forms in...
On the generalization and efficiency optimization of hybrid multiplication algorithms Cihangir, Mehmet Özgün; Yayla, Oğuz; Department of Cryptography (2026-9-1) Cryptography is the science of the privacy and security of the data in our casual lives. This has given rise to the acceleration of the search on powerful and secure cryptographic systems throughout the history. These stud...
Framework design for privacy preserving machine learning in a 6G vehicular network Uçar, Alper Umut; Yayla, Oğuz; Department of Cryptography (2026-9) The transition to sixth-generation (6G) telecommunications introduces a paradigm shift in vehicular networks, enabling hyper-connected autonomous driving through advanced machine learning. However, training these models re...
An Adaptive Computational Framework for Structural Shape Optimization: Deterministic and Robust Formulations Altıntaş, Oğuz Han; Yücel, Hamdullah; Department of Scientific Computing (2026-8-28) This thesis develops, analyzes, and implements a computationally efficient, fully adaptive algorithmic framework for robust structural shape optimization problems governed by the linear elasticity system, with the objectiv...
GPU-ENABLED SINDYC-BASED CONTROL FRAMEWORK FOR REAL-TIME QUADROTOR DYNAMICS MODELING AND CONTROL BAYRI, Berke; Uğur, Ömür; Department of Scientific Computing (2026-8-24) This thesis investigates the use of Sparse Identification of Nonlinear Dynamics with Control (SINDYc) for Model Predictive Control (MPC) of a quad-rotor. A nonlinear quad-rotor model is identified using SINDYc and employe...
Accelerated Scenario-Based Portfolio Risk and Optimization with Derivatives Tokmak, Bahri; Uğur, Ömür; Department of Scientific Computing (2026-8-22) Scenario-based risk measurement and portfolio optimization for derivative-containing portfolios require heterogeneous instruments to be revalued under many simulated market states. This becomes computationally demanding fo...
Application-Driven Error Correction and Constrained Coding Solutions for Modern Conventional and DNA Data Storage İrimağzı, Canberk; Hareedy, Ahmed; Department of Cryptography (2026-8) With the continuous rise in the amounts of data being processed and stored by modern applications, requirements from data storage devices keep getting higher. DNA data storage is a new technology that promises remarkable ...
Local verifiability in aggregate and multi-signature schemes: from pairing-based constructions to post-quantum lattice assumptions Yaman Gökce, Neslihan; Yayla, Oğuz; Ağırtaş, Ahmet Ramazan; Department of Cryptography (2026-8) Digital signature schemes are indispensable cryptographic primitives for ensuring au- thenticity, integrity, and non-repudiation in modern communication systems. Aggre- gate signatures and multi-signatures improve the effi...
Design and Analysis of Compact, Pairing-Free Distributed Verifiable Random Functions Özer, Arda Buğra; Yayla, Oğuz; Saygı, Zülfükar; Department of Cryptography (2026-7-31) Verifiable Random Functions (VRFs) are cryptographic primitives that generate unpredictable randomness together with a publicly verifiable proof of correct generation following the protocol, a critical requirement for dece...
The Actuaries Climate IndexTM in Agriculture and Finance: Weather-Index Benchmarking and Unsupervised Weighting Yavrum, Cem; Kestel, Sevtap Ayşe; Garrido, Jose; Department of Financial Mathematics (2026-7-1) Climate change poses significant challenges to the agricultural and financial sectors. This thesis comprises two complementary research studies that evaluate and extend the Actuaries Climate IndexTM (ACI) as a tool for mea...
Nowcasting Sectoral Revenue Growth Using Copula Enhanced Latent Spaces and Quarterly Filings Kavruk, Mehmet; Yozgatlıgil, Ceylan; Atak, Alev; Department of Financial Mathematics (2026-4-20) Traditional financial modeling faces challenges in managing the rise of high-dimensional, often unstructured data. This thesis proposes a robust nowcasting framework that moves beyond single indicator models by leveraging ...
Efficient and secure Montgomery curves over TMVP-friendly primes for next-generation ECC Orhon Kılıç, Neriman Gamze; Yayla, Oğuz; Cenk, Murat; Department of Cryptography (2026-3-25) As elliptic curve cryptography enters an era of hybrid post-quantum deployment and long-term data protection, there is growing demand for curves that combine security margins well beyond current standards with efficient, c...
Black-Box System Identification with Deep Recurrent Networks and Classical Models Avan, Beyza; Türk, Önder; Gökgöz Küçüksakallı, Nurgül; Department of Scientific Computing (2026-2-20) Deep learning has demonstrated significant, well-established success across a range of application domains; however, its use in nonlinear system identification remains an active area of research. This thesis provides a rig...
Nested Copula Reserving for Claims in General Insurance Koçer, Günay Burak; Kestel, Sevtap Ayşe; Department of Financial Mathematics (2026-2-10) Regulatory frameworks such as Solvency II and IFRS 17 require credible identification of reserve uncertainty and tail risk, which encourages models that move beyond deterministic Chain-Ladder approaches. This study propose...
COLLUSION-RESISTANT TLS ATTESTATION PROTOCOLS: A VERIFIABLE, MODULAR FRAMEWORK FOR DECENTRALIZED APPLICATIONS Şen, Uğur; Yayla, Oğuz; Osmanoğlu, Murat; Department of Cryptography (2026-2-10) A significant portion of today’s accessible data is stored on centralized servers and is typically accessed through the Transport Layer Security (TLS) protocol, which provides confidentiality and integration guarantees. Ho...
On PIR schemes from nD-cyclic codes and the Schur product of some algebraic codes Karakaş, Burcu Ecem; Özkaya, Buket; Özbudak, Ferruh; Department of Cryptography (2026-1-22) Private Information Retrieval (PIR) schemes aim to retrieve data from a database without revealing any details which data has been retrieved. A PIR scheme for coded storage systems with colluding servers gives a better PIR...
FACDO: Feature-Aware Conditional Diffusion Oversampler for Robust Minority Oversampling in Imbalanced Credit Risk and Fraud Classification YAMAN, ONUR; Uğur, Ömür; Department of Scientific Computing (2026-1-22) Datasets used in credit risk modelling and fraud detection are typically highly imbalanced, where defaults or fraudulent transactions constitute only a small fraction of all observations. Accurately identifying these minor...
CRYPTOGRAPHICALLY SECURE RANDOM NUMBER GENERATION BASED ON A CHAOTIC SYSTEM: A NOVEL ENTROPY LAMP SYSTEM Güneyi, Hakan Önder; Demirköz, Melahat Bilge; Yayla, Oğuz; Department of Cryptography (2026-1-21) Chaotic systems are sensitive to initial conditions and enhance security by introducing unpredictability. This study aims to develop a cryptographically secure random number generator using captured pixels from an entropy ...

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