** News:**

I am coorganizing the low-dimensional topology conference Swiss Knots 2019. In Zurich from the 16th to the 19th of July 2019. Check it out!

** About me:**

I am a postdoc in the Geometry, groups and dynamics group at ETH Zurich.

Previously, I was a postdoctoral fellow at the Max Plack Institute for Mathematics in Bonn,
and before that I was at Boston College.

My PhD thesis
was advised by Sebastian Baader at the University of Bern.

For more, consult my CV or contact me directly.

**How to find or contact me:**

Office: HG G 27.1

Address: ETH Zurich,
Department of Mathematics, Raemistrasse 101, 8092 Zurich, Switzerland.

email: peter.feller(you know the symbol)math.ethz.ch

**Research Interests:**

I am interested in low-dimensional topology—the study of geometric objects of dimension four or less.
One-dimensional objects that lie (in a potentially knotted way) in three-dimensional space—known as knots—fascinate me because their study relates to many other fields of mathematics.
Often
knot theory provides an approach toward visualizing more complicated objects.

In my low-dimensional topology research, I am in particular concerned with mapping classes, algebraic knots and links, notions of positivity for links, and the slice genus. I think notions of sliceness for knots provide a great point of view to understand the differences between smooth and topological 4-manifolds.

I also care about complex plane curve singularities and their deformations and hope to understand them using positive braids and tools from Heegaard-Floer theory.

And I wonder in how many ways complex algebraic varieties embed in affine space.
Maybe there are as many algebraic embeddings of the complex numbers in three-dimensional affine space as there are knots in the three-sphere,
probably (k)not; however, we should find out!

For more details you can consult my detailed list of publications, where you find abstracts and pretty pictures.

My work is openly available on the ArXiv.
You can also find my research on Google Scholar.

**ETHZ Geometry Seminar:**

Do you like Geometry and Topology? Check out ETHZ's Geometry Seminar.
If you register for the newsletter, I will send you title and abstract of upcoming talks.