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Let f traverse a sequence of classical holomorphic newforms of fixed weight and increasing square-free level q -> infinity. We prove that the pushforward of the mass off to the modular curve of level 1 equidistributes with respect to the Poincare measure. ...
We study a problem on specializations of multiples of rational points on elliptic curves analogous to the Mersenne problem. We solve this problem when descent via isogeny is possible by giving explicit bounds on the indices of prime power terms in elliptic ...
Using an algebraic formalism based on matrices in SL(2,R), we explicitly give the Teichmüller spaces of Riemann surfaces of signature (0,4) (X pieces), (1,2) ("Fish" pieces) and (2,0) in trace coordinates. The approach, based upon gluing together two build ...
Timberfabric structures, developed at IBOIS, are a new family of timber constructions based on the logic and principles of man-made fabrics. Modular elements called “Timberfabric Modules” are generated by curving and connecting two thin wooden panels. This ...
In this thesis we study algebraic cycles on Shimura varieties of orthogonal type. Such varieties are a higher dimensional generalization of modular curves and their important feature is that they have natural families of algebraic cycles in all codimesions ...
Summary: We explicitly give calT, the Teichmüller space of four-holed spheres (which we call X pieces) in trace coordinates, as well as its modular group and a fundamental domain for the action of this group on calT which is its moduli space. As a co ...
We count the number of isogeny classes of Edwards curves over finite fields, answering a question recently posed by Rezaeian and Shparlinski. We also show that each isogeny class contains a {\em complete} Edwards curve, and that an Edwards curve is isogeno ...
