Jonah Gaster
Visiting Assistant Professor
Boston College
Mathematics Department
Office: 541 Maloney
email: gaster@bc.edu
CV

Teaching:

Fall 2014: Math 1102.
Spring 2015: Math 3320, Math 4460.
Fall 2015: Math 1105.
Spring 2016: Math 4451.
Fall 2016: Math 2202.
Spring 2017: Math 4426, Math 8855.

Research Interests:

I'm interested in Teichmuller theory, quasi-Fuchsian groups,
and combinatorial and geometric invariants of curves on surfaces.
My mathematical heroes, no longer with us,
are Lars Ahlfors and William Thurston.
My Ph.D. advisor was David Dumas, at UIC.



Papers:

1. A family of non-injective skinning maps with critical points, (pdf, arXiv)
Published in Transactions of the American Mathematical Society.
Also, here's a Mathematica notebook containing computations relevant to the paper.

2. The random graph embeds in the curve graph of any infinite genus surface, (pdf, arXiv)
Joint with Edgar Bering.
Published in New York Journal of Mathematics.

3. Lifting curves simply, (pdf, arXiv)
Published in International Mathematics Research Notices.

4. Curves interesecting exactly once and their dual cube complexes (pdf, arXiv)
Joint with Tarik Aougab.
To appear in Groups, Geometry, and Dynamics.

5. Infima of length functions and dual cube complexes (pdf, arXiv)
To appear in Algebraic & Geometric Topology.

6. Building metrics suited to closed curves and applications to lifting simply (pdf, arXiv)
Joint with Tarik Aougab, Priyam Patel, and Jenya Sapir.
To appear in Mathematics Research Letters.

7. Coloring curves on surfaces (pdf, arXiv)
Joint with Josh Greene and Nick Vlamis.
Submitted for publication.

8. On the complexity of finite subgraphs of the curve graph (pdf, arXiv)
Joint with Edgar Bering and Gabriel Conant.
Submitted for publication.

9. Packing curves on surfaces with few intersections (pdf, arXiv)
Joint with Tarik Aougab and Ian Biringer.
Submitted for publication.

10. Discrete harmonic maps in practice
Joint with Brice Loustau.
In preparation.



Random Stuff:

Here's another cool picture of circles, though a little larger file this time.
All of the pictures on this page were made using Mathematica.