Office: C-518 Wells Hall.

Office Hour: Wednesday 2:30-3:30pm (SS18)

Email: 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 (they are of dimension 3 or 4). In my current project, I use algebro geometric techniques to understand the minimal
compactification of the (complexified) Cayley Grassmannian. I am also interested in Seiberg-Witten theory, low
dimensional topology and applications of algebraic geometry to these topics.

- 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)
- Laurent polynomials
- Jacobian calculations
- matrices (including induced matrices on exterior algebra)
- multiple cross products
- associative, coassociative and Cayley calibrations
- a little bit of exterior algebra calculus
- and more

- Bernie Sanders: How corporate media threatens our democracy
- Richard Stallman's TEDx Talk: "Introduction to Free Software and the Liberation of Cyberspace"
- Protect your privacy and everyone's freedom. Use Tor browser.
- Here is my public key for authentic and/or private communication. (What is public key cryptography?)
- Maybe things above make more sense now, a year after I have posted them. Incidentally, this is why you can make a lot of money with "big data".
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