Disc assembly as seen by the SIGMA survey

We  will  show  recent  results  from  the  SIGMA  survey  of  internal  galaxy kinematics over 1.3 < z < 3.0 with the Keck/MOSFIRE spectrograph.  We find intriguingly smooth average trends of galaxy kinematics with both stellar mass and  redshift.   The  trends  are  such  that  at  higher  redshifts  and  lower  stellar masses, galaxies are less disc-like.  When combined with lower redshift data on  galaxy  kinematics,  we  find  that  these  smooth  trends  continue  to  the present  day.   We  will  discuss  how  this  kinematic  transition  gives  important clues to the physical processes behind the formation of the Hubble Sequence for disc galaxies.