Difference between revisions of "User:Eotvos"

Revision as of 18:11, 26 September 2010

Before i was corrupted by the world

Someone on internet knows me as Eotvos, others know me as tetrapharmakon. However my best avatar is killing_buddha.

I am an italian mathematician living in Padua, where I was born in May 23, 1987. My scientific interests are pretty wide, I spend much time reading about category theory, universal algebra, differential geometry. I've ever been fascinated by the epistemological problem of figuration of space: I hope to find out a coherent geometrical model of Borges' Library of Babel. I chose to study Geometry, and Algebra therefore, for a simple reason. When I was still a child, I dreamed to become an artist, a painter or a sculptor. Later I discovered Mathematics, and I found out the same feelings through the infinitely malleable and ideal shape of a manifold, or the polished and perfect matter which Riemann surfaces are made of. When I have a pencil or a chalk in my hand, when I write on a blank sheet or a blackboard, when I plot a graph or I draw a commutative diagram, then I feel the same artistic sensations.

With the passing of time, Mathematics revealed me the deep and majestic identity between the shape of an object (its geometrical nature, its physical and plastic properties) and its gist (its purest essence, its algebraic and axiomatic construction). Following Klein's point of view, for example, I can perceive that what we call a geometry is nothing else than the result of applying the action of a suitable group over an appropriate set: on changing the shape of a space, we modify the relationships among the objects, not really caring about the objects themselves. Moving its early steps from a basic intuition (i.e., the identity principle), Mathematics elevates itself to a superior conception focusing its attention on the relations among a wide spectrum of entities, whereas it is important the way in which the objects at hand are related to each other and not their particular nature.

I try to type some mathematical text:

<m>\displaystyle \bigwedge(V):=T_\bullet(V)/\langle v\otimes v\rangle</m> is thy Lord