Ronen E. Mukamel
Address:
Rice University
Department of Mathematics
6100 Main St., MS136
Houston, TX 77005
Email: ronenatricedotedu
CV



Research
I am currently an Assistant Professor at Rice University. My research interests include Riemann surfaces, Teichmueller theory and dynamics on moduli spaces.
 Orbifold points on Teichmueller curves
and Jacobians with complex multiplication (Geom. Topol. 18(2014), iss. 2 779829).
 Real multiplication through explicit correspondences, joint with A. Kumar. (Proceedings of ANTS XII, LMS J. Comput. Math., 19(2016), iss. A 2942.)
 Visualizing the unit ball for the Teichmuller metric (Exp. Math. 26(2017), iss. 1 9397).
 Fundamental domains and generators for lattice Veech groups (Comment. Math. Helv., 92(2017), 5783).
 Algebraic models and arithmetic geometry of Teichmuller curves in genus two, joint with A. Kumar (Int. Math. Res. Not., (2017), iss. 22 68946942). Supporting computer files are available here.
 Cubic curves and totally geodesic subvarieties of moduli space, joint with C. T. McMullen and A. Wright (Ann. of Math., 185(2017), iss. 3 957990).
 Polynomials defining Teichmuller curves and their factorizations mod p (to appear in Exp. Math.). Supporting compute files available here.
 Billiards, quadrilaterals and moduli spaces, joint w A. Eskin, C. T. McMullen and A. Wright (submitted).

Software
Here are some programs I have written related to my work and teaching.
Please let me know if and how you use this software and if you find any problems with it.

Gallery


