  The $^{22}\rm{Ne}(\alpha,\gamma)^{26}\rm{Mg}$ is an important reaction in
stellar helium burning environments as it competes directly with one of the
main neutron sources for the s-process, the
$^{22}\rm{Ne}(\alpha,n)^{25}\rm{Mg}$ reaction. The reaction rate of the
$^{22}\rm{Ne}(\alpha,\gamma)^{26}\rm{Mg}$ is dominated by the low energy
resonances at $E_{\alpha}^{lab}$ = 650 and 830 keV respectively. The
$E_{\alpha}^{lab}$ = 830 keV resonance has been measured previously, but there
are some uncertainties in the previous measurements. We confirmed the
measurement of the $E_{\alpha}^{lab}$ = 830 keV resonance using implanted
$^{22}$Ne targets. We obtained a resonance strength of $\omega\gamma$ = 35
$\pm$ 4 $\mu eV$, and provide a weighted average of the present and previous
measurements of $\omega\gamma$ = 35 $\pm$ 2 $\mu eV$ with reduced uncertainties
compared to previous studies. We also attempted to measure the strength of the
predicted resonance at $E_{\alpha}^{lab}$ = 650 keV directly for the first time
and found an upper limit of $\omega\gamma$ $\mathrm{<0.15}$ $\mu eV$ for the
strength of this resonance. In addition, we also studied the $E_{P}^{lab}$= 851
keV resonance in $^{22}\rm{Ne}(p,\gamma)^{23}\rm{Na}$, and obtained a resonance
strength of $\omega\gamma$ = 9.2 $\pm$ 0.7 eV with significantly lower
uncertainties compared to previous measurements.
