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## Körezlioğlu Research Award (2013) goes to Yeliz Yolcu Okur

**Yeliz Yolcu Okur** from the Institute of Applied Mathematics at Middle East Technical University is rewarded to the **Hayri Körezlioğlu Research Award**, of the year 2013.

The ceremony will be on **March 25, 2014** at **Seminar Room** at the **Institute of Applied Mathematics at METU**. She will also talk on "*Malliavin Calculus for Levy Processes and Applications to Finance"*. See the abstract below.

The award is aimed to encourage young researchers in the fields of **Financial Mathematics**, and **Stochastic Processes and its Applications**, and to publicize their prestigious work. Starting with for 2012, the award will be given annually.

**Title: ***Malliavin Calculus for Levy Processes and Applications to Finance*

**Abstract:** The representation of functionals of Brownian motion by stochastic integrals has been studied for many years. In the following years, many achievements were obtained on the Clark-Ocone formula which is the celebrated representation of Malliavin differentiable square integrable random variables. Since many applications in financial mathematics require representation of random variables with respect to equivalent martingale measure, a change of measure version of this theorem was stated by Karatzas and Ocone (1991). In the first part of this talk, using Malliavin calculus and white noise analysis, the extension of these results for a general square integrable Levy martingale will be proved (Yolcu Okur (2012)). As an application of our result, the closest hedge strategy for the digital option whose underlying asset is driven by a Levy process will be examined. In the second part of the talk, the strong solutions of Ito equations driven by pure jump Levy processes will be analyzed. We propose that the space of smooth random variables as an attractive alternative to the Meyer-Watanabe test function and distribution space to study the strong solutions of stochastic differential equations. (Y. Yolcu Okur, F. Proske and H. Binti Salleh (2012))

## Körezlioğlu Research Award (2012) goes to Mine Çağlar

**Mine Çağlar** from the Department of Mathematics at Koç University is rewarded to the **Hayri Körezlioğlu Research Award**, of the year 2012.

The ceremony will be on **March 25, 2014** at **Seminar Room** at the **Institute of Applied Mathematics at METU**. She will also talk on "*A Stock Price Process: properties, limits, and estimation"*. See the abstract below.

The award is aimed to encourage young researchers in the fields of **Financial Mathematics**, and **Stochastic Processes and its Applications**, and to publicize their prestigious work. Starting with for 2012, the award will be given annually.

**Title: ***A Stock Price Process: properties, limits, and estimation*

**Abstract:** We consider the weak convergence of scaled stochastic processes which are constructed as integrals with respect to a Poisson random measure. Motivated by mathematical finance, the process can be interpreted as stock price where the parameters involved are the arrival time, the duration and the effect of an order in stock trading. We first study the conditions for the stock price process to be a semimartingale, and no arbitrage property to hold. Then, we prove weak convergence results under various scaling limits. When the trading occurs more frequently and in smaller quantities, the limit is a fractional Brownian motion. In contrast, a stable Levy motion is obtained if the rate of trading decreases while its effect rate increases. Finally, we discuss the statistical methodology developed to estimate the model parameters and apply on high-frequency price data.

## Hayri Körezlioğlu Research Award

Mathematics Foundation started a research award for young researchers in the name of Prof. Hayri Körezlioğlu, who is the founder of METU Institute of Applied Mathematics, Financial Mathematics Program.

The award is aimed to encourage young researchers in the fields of **Financial Mathematics**, and **Stochastic Processes and its Applications**, and to publicize their prestigious work. Starting with for 2012, the award will be given annually.

The application procedure is as follows: The applicant must be **younger than 45 years old**. The application can be made personally, or an institution can nominate the researcher. The application package should include the **resume**, the **publication list** and the **publications**. These should be **emailed to the Chair of Mathematics Foundation** (This email address is being protected from spambots. You need JavaScript enabled to view it.
or **This email address is being protected from spambots. You need JavaScript enabled to view it.
**) by **30 November**.

The award amount is TL **1000**. The award ceremony will take place in March, possibly on **25 March**, the birthday of Prof. Körezlioğlu.

About Prof. Dr. Hayri Körezlioğlu:

MathSciNet: www.ams.org/mathscinet/search/author.html?mrauthid=104970

Matematik Dernegi: www.md.math.bilgi.edu.tr/arsiv/PDF/2007_3_63_72_KOREZLIOGLU.pdf

## Masatoshi Gündüz İkeda Research Award

The award was first proposed in 2002 for the memorial of Prof. Dr. M. G. İkeda, who contributed to Turkish Mathematics universally. The purpose of the award is to evaluate the eminent research mathematical studies of scientists in Turkish Republic in order to announce these studies by approving them as being superior qualities and to encourage such kind of studies.

The applicants should not be above **45 years of age** and they should either individually or institutionally send their applications, **curriculum vitae**, **list of publications**, and **publications **(in print) to the **Chair of Mathematics Foundation** via **surface mail, ****personally or by e-mail** before the deadline, **November 30**.

The award is TL **1.000** and the ceremony will be held on **February 25,** the birthday of Prof. Dr. M. G. İkeda.