# ESP Biography

## BANTI GHENETI, ESP Teacher

Major: Course 6

College/Employer: MIT

Not Available.

## Past Classes

(Clicking a class title will bring you to the course's section of the corresponding course catalog)

M12591: Quirky Quarternions: An intro to non-commutative algebra in Splash 2018 (Nov. 17 - 18, 2018)
$$ab = ba$$: You may have learned about this seemingly universal truth in grade school. However, in this class, we'll throw the commutative law of multiplication out of the window, and go back to the drawing boards to define an algebra of numbers with three imaginary units. We will begin the class with a short introduction of complex numbers, their geometric representation as points on the complex plane, and the geometric meaning of their multiplication. We will then introduce the fundamental multiplication law for quaternions, $$i^2 = j^2 = k^2 = ijk = -1$$, and show how everything about quaternions falls into place following this formula. You will also learn a few party-twister tricks that work thanks to quaternion algebra.

A9229: Blind Circumambulation of a Large Fabric Cube in Spark 2015 (Mar. 14 - 15, 2015)
In the cold of winter, let your creative side bloom as we play games and explore the fragmentation of memory.