About Bilkent Mathematical Society
Who we are
The Bilkent Mathematical Society is a student-run organization at Bilkent University dedicated to promoting mathematics and fostering a love for the subject among the university community. The society aims to provide opportunities for students to engage in mathematical discussions, problem-solving, and exploration beyond the classroom.
What we do
The society hosts regular events, including talks by faculty members and guest speakers, math competitions, game nights, and social gatherings. These events provide a platform for students to learn about different areas of mathematics, network with like-minded individuals, and enhance their problem-solving skills.
How we can help you
In addition to organizing events, the society also serves as a resource for students seeking advice on course selection, graduate school applications, and career opportunities in mathematics. The society also works to build connections with industry partners and other academic institutions to provide students with a wider range of opportunities for growth and development.
Join us
The Bilkent Mathematical Society is committed to creating an inclusive community that welcomes students from all backgrounds and levels of mathematical experience. Whether you are a seasoned math enthusiast or just starting your journey in the subject, the society invites you to join and explore the wonders of mathematics.
News and Updates
Math Talk Series: Spectral Theorems
Abstract: This talk gravitates around the three forms of the spectral theorem for normal operators in Hilbert spaces. We will start from the geometry of conic sections that has it origin back in the classical Greek geometry and travel through the mathematical models for natural sciences that are related to ordinary and partial differential equations, the roots of functional analysis and of operator theory, and end with the mathematical models for quantum mechanics. On the way, we will illustrate how the spectral theorem was gradually understood and eventually took its triple form and how it clarified questions in these disciplines. In our journey we will encounter many of the most famous mathematicians and scientists and point out their remarkable contributions to mathematics and to the quest of understanding the universe in which we live.
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Math Talk Series: What is, and what should be, local structure of symmetries?
Abstract: One of the key ideas of 19th century mathematics, emerging gradually over several decades, was that, after starting with an object that has some symmetry, one can usefully forget the object and retain only the abstract symmetry, which is called a group. At present, one of the aims in group theory is to try to forget the group and to retain only its so-called local structure. It is an open question as to quite what the local structure ought to be. We shall be indicating one approach to this. The talk is intended to be accessible to all mathematics undergraduates who have had some experience of the notion of a mathematical object as a set equipped with some structure such as a multiplication operation or a partial ordering relation. My intention is just to give an impressionistic indication of what kind of thing we study and how we study it when doing mathematical research.
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