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
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.
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
complex octonions (of course, you can restrict to any subalgebra or if you only use real coefficients, you get the octonions with the positive definite metric)
matrices (including induced matrices on exterior algebra)
multiple cross products
associative, coassociative and Cayley calibrations
a little bit of exterior algebra calculus