Most Recent Articles: Research in the Mathematical Scienceshttp://resmathsci.springeropen.comMost Recent Articles: Research in the Mathematical SciencesFormulas for monodromyhttp://resmathsci.springeropen.com/articles/10.1186/s40687-017-0097-xGiven a family X of complex varieties degenerating over a punctured disk, one is interested in computing related invariants called the motivic nearby fiber and the refined limit mixed Hodge numbers, both of which...Mon, 10 Apr 2017 00:00:00 GMThttp://resmathsci.springeropen.com/articles/10.1186/s40687-017-0097-xAlan Stapledon2017-04-10T00:00:00ZThe number of -points on Dwork hypersurfaces and hypergeometric functionshttp://resmathsci.springeropen.com/articles/10.1186/s40687-017-0096-yMon, 03 Apr 2017 00:00:00 GMThttp://resmathsci.springeropen.com/articles/10.1186/s40687-017-0096-yDermot McCarthy2017-04-03T00:00:00ZOn equilibrium configurations of nematic liquid crystals droplet with anisotropic elastic energyhttp://resmathsci.springeropen.com/articles/10.1186/s40687-016-0094-5We investigate the effect of anisotropic elastic energy on defect patterns of liquid crystals confined in a three-dimensional spherical domain within the framework of Landau–de Gennes model. Two typical strong...Fri, 10 Mar 2017 00:00:00 GMThttp://resmathsci.springeropen.com/articles/10.1186/s40687-016-0094-5Dong An, Wei Wang and Pingwen Zhang2017-03-10T00:00:00ZA geometric perspective on p-adic properties of mock modular formshttp://resmathsci.springeropen.com/articles/10.1186/s40687-017-0095-zBringmann et al. (Trans Am Math Soc 364(5):2393–2410, 2012) showed how to ‘regularize’ mock modular forms by a certain linear combination of the Eichler integral of their shadows in order to obtain p-adic modular...Fri, 03 Mar 2017 00:00:00 GMThttp://resmathsci.springeropen.com/articles/10.1186/s40687-017-0095-zLuca Candelori and Francesc Castella2017-03-03T00:00:00ZOptimal convergence rate of the universal estimation errorhttp://resmathsci.springeropen.com/articles/10.1186/s40687-016-0093-6Fri, 10 Feb 2017 00:00:00 GMThttp://resmathsci.springeropen.com/articles/10.1186/s40687-016-0093-6E. Weinan and Yao Wang2017-02-10T00:00:00Z