  We report an analysis of the dust disk around DM~Tau, newly observed with the
Atacama Large Millimeter/submillimeter Array (ALMA) at 1.3 mm. The ALMA
observations with high sensitivity (8.4~$\mu$Jy/beam) and high angular
resolution (35~mas, 5.1~au) detect two asymmetries on the ring at $r\sim$20~au.
They could be two vortices in early evolution, the destruction of a large scale
vortex, or double continuum emission peaks with different dust sizes. We also
found millimeter emissions with $\sim$50~$\mu$Jy (a lower limit dust mass of
0.3~$M_{\rm Moon}$) inside the 3-au ring. To characterize these emissions, we
modeled the spectral energy distribution (SED) of DM~Tau using a Monte Carlo
radiative transfer code. We found that an additional ring at $r=$ 1~au could
explain both the DM~Tau SED and the central point source. The disk midplane
temperature at the 1-au ring calculated in our modeling is less than the
typical water sublimation temperature of 150~K, prompting the possibility of
forming small icy planets there.
