INSTITUTE OF APPLIED MATHEMATICS
TÜBİTAK Integrated PhD Program: Homogenous spaces, enumerative geometry and singularity theory

Homogenous spaces, enumerative geometry and singularity theory are investigated.

ESF (European Science Foundation) Research Networking Project: Advanced Mathematical Methods for Finance

This project aims at the development and application of advanced mathematical tools in finance. Methods from stochastic analysis, deterministic and stochastic control theory, the theory of differential equations, functional analysis, mathematical statistics, numerical analysis and simulation, are playing an increasingly important role in the study of financial instruments and the very complex markets in which these instruments are traded.

DAAD Program Subject-Related Partnerships with METU

Within the framework of this project new learning modules will be developed in the field of optimization at the Institute of Applied Mathematics, Middle East Technical University. With an exchange of faculty and students, common research work and supervision of master and PhD thesis will be done. It is also aimed to prepare the basis for a double degree program in the scientific computing.

TÜBİTAK Integrated PhD Program: Continuous Optimization Methods and Applications

Continuous Optimization Methods and Applications

TÜBİTAK-NSF INT Project: Development of Modelling and Optimiztion Tools for Hybrid Systems

We consider the modeling and optimization of dynamic hybrid systems. Such systems occur widely in nature (particular in biological, chemical and mechanical applications) and are also essential components of economic planning models.

TÜBİTAK-Career Project: Modeling multistationary processes by using hybrid system formulation: A study with priority on functional genomics

We consider inferring regulatory relations, in particular gene interactions from the empirical measurements, in particular expression microaarray profiles. Piecewise linear formulations are studied as abstract models but they do not include an intervention model.

TÜBİTAK-Research Project: The Boundary Element Solutions of The Nuclear Fusion Reactor Problems

In this project two different recent and powerful numerical methods, namely the finite element method with residual free bubble functions and the boundary element method are going to be used without the need of iteration. The residual free bubble functions are used for stabilizing the numerical results obtained from the finite element method. The boundary element method is well-suited for plasma equilibrium analysis that requires efficient data preparation and computation following the change in plasma shape during the operation of an actual fusion device. The nonhomogenouity in the Grad-Shafranov equation is going to be approximated by using radial basis functions.

Usage of Data Mining Techniques in Production Quality Assessment

Data Mining Techniques in Production Quality Assessment

Meteorology and Oceanography Network of Excellence MONOE

Meteorology and Oceanography Network of Excellence (MONOE)

Çok Seviyeli Güvenliğe Uygun Kriptografik Algoritmaların Uygulanması Projesi (in Turkish)

Bu projede doküman yönetim ve paylaşım düzeneğinde kullanılacak olan kriptografik algoritmalar ve anahtar boylarının standartlar gözönüne alınarak çok seviyeli güvenlik uygulamalarına göre belirlenmesi ve Türkiye'de kullanılabilecek algoritmaların sınıflandırması ve belirlenen bu algoritmaların açık kaynak kodlu yazılımlardan da yararlanılarak bir yazılım paketi içinde oluşturularak ve uygulaması yapılmıştır.

Research and Development in Cryptography : Cryptographic Algorithm Design, Analysis and Implementation

The project aims at advancing the state of the art in the field of cryptography by doing research in areas like developments of new methods for the algorithm design, analysis and implementation as well as establishing the required infrastructure in the institude for cryptographic research.

Research, Development and Implementations about Public Key Infrastructures

This project intends to follow up the latest developments on Digital Signature algorithms (RSA, DSA and ECDSA) and develop software tools to test their security. A reference system will be set up to investigate implementation issues in signature generation and distribution.

Selecting Secure Elliptic Curves GF(p) and Implementing a Signature System Based on Elliptic Curves

This project aims to develop software tools to generate secure elliptic curve families in GF(p) fields and make a selection among suitable candidates that satisfies a set of requirements. An imlementation has been planned to investigate problems associated with signature systems based on elliptic curve cryptography.

Developing Statistical and Structural Test Suite Software to Evaluate the Security of Block Ciphers

Tests that are statistical and structural capable of analyzing any practical block cipher are the subject of this project. Statistical and Structural test suite software will be used to evaluate the security of block ciphers.

Examining, Improving and Implementation of Error-Correcting Code Generation Methods

The aim of the project is to construct new authentication codes having good parameters and improve the parameters of some known codes. In general, some techniques from finite fields and Galois rings are used for the constructions.