Hello there!

I'm Steve Trettel, a mathematician who is also interested in computers, physics, and language.

I'm currently an assistant professor at the University of San Francisco. This is both my personal and academic website, so you’ll find math I like explaining, updates on my computer graphics hobby, physics I'm learning, and some favorite meals, among other things.

Note: This website is a new redesign (as of summer 2022) for me, and my first attempt at learning hugo for site building: it’s definitely still under construction so apologies in advance for broken links or non-existent pages!

Illustration

All Art

Code

Iterated Integral Variable Bounds

Iterated Integral Polar

Iterated Integral Cartesian

Sudanese Mobius

Kleinbottle

Kleinbottle Fig8

Boys Surface

Complex Spiral

Tangent Plane

Black Hole

All Code

Posts

Coming Soon!

Notes

Hyperbolic Springs:
Deriving the ODE for a spring which is pushed in hyperbolic geometry (it oscillates!)

Convolution and Differentiation of Distributions:
If F is a distribution and g is a function, why is (DF)*g equal to F*Dg?

Topologizing The Space Of Distributions:
Why do we need to require convergence of the derivatives when defining a topology on the set of distributions?

Deep Time:
Some thoughts on the importance of appreciating the immensity of earth's history.

Life in Hyperbolic Space:
The dangers of life in a negatively curved space

Cassini:
Saying goodbye to my favorite space craft, on the eve of its entry into Saturn's atmosphere.

Cubics and Braids:
The bridge between the 3-strand braid group and the trefoil knot complement

Hopf:
An old note, from my early graduate school days, explaining the hopf fibration.

Lattices:
Lattices in the Plane and the Trefoil Knot

Convolution:
A note I wrote to myself in undergraduate, when trying to understand the definition of convolution.