Ustun Yildirim

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

PGP Public Key

Curriculum Vitae




Teaching (SS2019)

MTH 142

Lectures: TR 3:25-4:40 in Gavett 202

Main course website

Blackboard

MTH 165

Lectures: TR 2-3:15 in Dewey 1101

Main course website

Blackboard


Research Interests

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.


Preprints

2) (with S. Akbulut) Complex \(G_2\) manifolds and Seiberg-Witten Equations

1) On the minimal compactification of the Cayley Grassmannian


Slides

Associative and Cayley Grassmannians (GSTGC 2018)


Coding

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


Other

Support freedom