Scotty Tilton's Website

Email: stilton "at" ucsd "dot" edu

Office: AP&M 6414

I am a second year math Ph.D. student at U.C. San Diego. My interests are currently in Algebraic Topology.

I am also the Math Graduate Student Council Events Committee co-chair with Weiwei Wu.

Research

• The cohomology of real Grassmannians via Schubert Stratifications

  (with Eric Berry Nov 2020) On the arXiv.

Teaching:

Miscellaneous FUN!

• Shirts
• Fun Problems
• Intro Videos
• (Some math peoples') Definitions of the circle: $\mathbb{S}^1:=\{(x,y)\in \mathbb{R}^2\mid x^2+y^2=1\}\cong\{z\in \mathbb{C}\mid |z|=1\} = \{e^{i\theta}\mid \theta \in \mathbb{R}\} \cong \mathbb{R}/\mathbb{Z}\cong [0,1]/0\sim 1$
  $\quad~\cong$$\mathbb{RP}^1$$\cong$$U(1)$$\cong$$SO(2)$,
  or the coequalizer of the diagram $\Delta[0]\rightrightarrows\Delta[1]$,
  or "is a $K(\mathbb{Z},1)$,"
  or $\mathsf{Gr}_1(\mathbb{R}^2)$
  or this $\to$${\Huge \circ}$.
  An example of a shape with constant diameter that is not a (usual) circle:
  (Reuleaux) Curve of constant width.

Some Pretty Math

• Polynomial Matings
• Zooming in on a Fractal
• How to make linear algebra grow a plant
• $\displaystyle\frac{e^{i\pi}+1}{2}=0$ (a past professor of mine said that the 2 needed to be added so that this equation has all of the good numbers.)