By reformulating and extending results of Elkies, we prove some on \({{\mathbb {Q}}}\)-curves over number fields odd degree. We show that, such fields, the only prime isogeny degrees \(\ell \) that a {Q}}}\)-curve without CM may have are those already possible {Q}}}\) itself (in particular, \le 37\)), existence bound cyclic isogenies between depending degree field. also torsion groups not divis...

[1] Crustal motion can be described as a vector displacement field, which depends on both the physical deformation and the reference frame. Self-consistent descriptions of surface kinematics must account for the dynamic relationship between the Earth’s surface and the frame origin at some defined center of the Earth, which is governed by the Earth’s response to the degree-one spherical harmonic...

In the present paper we study the effect of rigid boundary on the propagation of Love waves in an inhomogeneous substratum over an initially stressed half space, where the heterogeneity is both in rigidity and density. The dispersion equation of the phase velocity has been derived. It has been found that the phase velocity of Love wave is considerably influenced by the rigid boundary, inhomogen...

Craig Thompson, President and CEO of Memorial Sloan Kettering Cancer Center, is a medical oncologist and immunologist who has made fundamental contributions to our understanding of how cells — from B and T cells to stem cells and cancer cells — survive and replicate. See the full interview at https://www.jci. org/videos/cgms to hear Thompson’s (Figure 1) stories about being a remedial reader, t...

We determine the maximum number of edges that a planar graph can have as function its degree and matching number.