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Scholarly Interest Report
         
Ronen Mukamel
Assistant Professor
Assistant Professor of Mathematics
 
e-mail:Ronen.Mukamel@rice.edu
 
  • Masters Equivalent Mathematics (2006) Cambridge University, Cambridge, UK
  • AB Mathematics (2005) Harvard University, Cambridge, MA
  • Ph.D. Mathematics (2011) MIT, Cambridge, MA
 
Primary Department
   Department of Mathematics
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Websites
 Homepage
 
Research Areas
 Dynamics, algebraic geometry and number theory
 
Selected Publications
 Refereed articles
 

A. Kumar and R. E. Mukamel "Algebraic models and arithmetic geometry of Teichmuller curves in genus two." Int. Math. Res. Not. (to appear) In Press

 
 

A. Kumar and R. E. Mukamel "Real multiplication through explicit correspondences." Proceedings of ANTS, LMS J. Comput. Math., 19 (2016) : 29-42.

 
 

C. T. McMullen, R. E. Mukamel, and A. Wright "Cubic curves and totally geodesic subvarieties of moduli space." Ann. of Math. (to appear) In Press

 
 

R. E. Mukamel "Fundamental domains and generators for lattice Veech groups." Comment. Math. Helv. (to appear) In Press

 
 

R. E. Mukamel "Orbifold points on Teichmuller curves and Jacobians with complex multiplication." Geometry and Topology, 18 (2014) : 779-829.

 
 

R. E. Mukamel "Visualizing the unit ball for the Teichmuller metric." Exp. Math., 26 (2017) : 93-97.

 
Presentations
 Conference Paper
 

Algorithmic Number Theory Symposium (ANTS), in Kaiserslautern, Germany.

 
 Invited Talks
 

Presented at "Flat Surfaces and Dynamics of Moduli Space" at CMO (Oaxaca, Mexico).

 
 

Presented at "Cycles on Moduli Spaces, Geometric Invariant Theorey, and Dynamics" at ICERM (Providence, RI).

 
 

Presented at "Group Theorey in Low Dimensional Topology and Geometry" at ICTP (Trieste, Italy).

 
 

"Kronecker's congruence and Teichmuller curves in positive characteristic," presented at the CIRM in Luminy.

 
 

"Billiards, the square root of eleven and a Teichmuller curve of genus one," presented at the First Joint Meeting of the IMU and the MMS in Oaxaca, Mexico,

 
 

Lecture series on "Dynamical aspects of Teichmuller and moduli spaces" presented at the Moduli Crossroads Retreat at U. Wisconsin.

 
 Seminar Speaker
 

Presented at U. Michigan Number Theory Seminar.

 
 

Presented at Rice CAAM colloquium.

 
 

Presented at Stanford Algebraic Geometry Seminar.

 
 

Presented at Yale Geometry and Topology Seminar.

 
 

Presented at U. Chicago dynamics seminar.

 
 

"Kronecker's congruence and Teichmuller curves in positive characteristic" presented in the Algebraic Geometry seminar at Yale.

 
 

"Kronecker's congruence, singular moduli and the primes of bad reduction of Teichmuller curves" presented at the U. Conn number theory seminar.

 
 

"Kronecker's congruence and Teichmuller curves in positive characteristic" presented in the Informal Dynamics and Geometry seminar at Harvard.

 
 

"Billiards, the square root of 11 and a Teichm\"uller curve of genus one" presented at the Rice math department colloquium.

 
 

"Totally geodesic subvarieties in the moduli space of Riemann surfaces" presented at the Rice math department colloquium.

 
 

"Totally geodesic subvarieties in the moduli space of Riemann surfaces" presented at the math department colloquium at the University of Houston.

 
 Workshops
 

Presented at "ICTP-EAUMP School in Number Theory" (Kigali, Rwanda).