# Cihan Okay

Assistant Professor

Department of Mathematics

Bilkent University
**Office:** SA-140

CV

### Ongoing

## Research

My main motivation is to expand the scope of the long-standing interaction between topology and physics to the relatively young field of quantum information theory. My work in algebraic topology has intersections with group cohomology, topological K-theory and simplicial homotopy theory. These structures find applications in quantum foundations such as contextuality of quantum mechanics which in turn give fundamental insight for basic reasons behind quantum advantage in information processing tasks. In this direction I am also interested in classical simulation algorithms for quantum computation.
### Postdocs

- Selman Ipek (Oct 2021 - present), Ph.D. Physics (2021), University at Albany - SUNY
- Aziz Muhammad Kharoof (Oct 2021 - present), Ph.D. Pure Mathematics (2019), University of Haifa
- Ho Yiu Chung (Sept 2021 - present), Ph.D. Pure Mathematics (2020), University of Southampton

## Students supervised

#### Ph.D.

- Daniel Sheinbaum, Ph.D. February 2020, Title:
*Applications and Connections between Twisted Equivariant K-theory, Quantum Mechanics and Condensed Matter*, co-supervised by Alejandro Adem

#### Undergraduate

- Melin Okandan, Undergraduate senior project, Fall 2021, Title:
*Basic properties of quantum channels*
- Ecem Ilgun , Undergraduate summer project, Summer 2021, Title:
*Introduction to quantum contextuality*
- Oussama Amir , Undergraduate senior project, Fall 2020, Title:
*Algebraic aspects of symmetric informationally complete measurements*

## Teaching

- Math 101 - Calculus I, Bilkent, Fall 2021
- Math 421/521 - Introduction to quantum computation, Bilkent, Spring 2021
- Math 101 - Calculus I, Bilkent, Fall 2020
- Math 9144A - Homological algebra, UWO, Fall 2016
- Calculus 1000a , UWO, Fall 2014