Office: Hylan 1001
Phone: (585) 276-7854 (not preferred)
Office Hours: Wed 2-5pm or by appt.
Email (work): ustun.yildirim (a t) rochester (d o t) edu
Email (personal): ustun (a t) mailbox (d o t) org
Lectures: TR 3:25-4:40 in Gavett 202
Lectures: TR 2-3:15 in Dewey 1101
I am interested in \(G_2\) and Spin(7) manifolds. More specifically, I am working on problems related to their calibrated submanifolds (which are volume minimizing submanifolds of dimension 3 in \(G_2\) case or 4 in Spin(7) case). I am also interested in Seiberg-Witten theory, low dimensional topology and applications of algebraic geometry to these topics.
2) (with S. Akbulut) Complex \(G_2\) manifolds and Seiberg-Witten Equations
1) On the Complex Cayley Grassmannian
Octonions and Cayley Grassmannian repository
I have written some code in Haskell to help me with my calculations. They are intended to be used in an Haskell interpreter but you may always fork the repository to suit your own needs or email me if you want to contribute. Specifically, it is helpful with