## Publications:

*Universal systole bounds for arithmetic locally symmetric spaces.* (joint with J. Meyer and B. Linowitz). Proceedings of the American Mathematical Society (accepted May 2021). Proceeding of the AMS version forthcoming and arXiv version.

*Systole inequalities up congruence towers for arithmetic locally symmetric spaces* (joint with J. Meyer and B. Linowitz). Communications in Analysis and Geometry (accepted Feb 2021). CAG version forthcoming and arXiv version.

* Interesting examples ℂ ^{2} in of maps tangent to the identity without domains of attraction.* Journal of Fractal Geometry (2019). JFG version and arXiv version.

*Attracting domains of maps tangent to the identity in two complex variables with characteristic direction of multiple degrees.* Journal of Geometric Analysis (2015). JGA version and arXiv version.

*Attracting domains of maps tangent to the identity whose only characteristic direction is non-degenerate.* Int. J. Math., **24** (2013). IJM version and arXiv version.

*On the existence of attracting domains for maps tangent to the identity.* Ph.D. Thesis, University of Michigan (2013). Available here.

## Research Group at UCR:

* I maintain the website for the Fractals, Dynamics, & Mathematical Physics Group at UCR. This website also contains a list of conferences in these research areas. If you would like to add a conference to the list, email me at slapan "at" ucr "dot" edu.*

## Research-Related Videos:

Here is a talk I gave at the Interactions between continuous and discrete holomorphic dynamical systems in Banff, 2012 on Attracting domains of certain maps tangent to the identity:

Here is a video I made for the Dance Your Ph.D. competition in 2012 to explain (some of) my thesis: