His nine-wicket haul in Delhi included six in the second innings of a match which India won more than a day to spare. The performance got him the selector's nod for the second Test as well.
Ashwin will leave for Kolkata this evening with his wife and a party has been arranged there for his Indian teammates, according to family sources.
The wedding reception of the couple was held last evening chief selector K Srikkanth were among those who attended the function.
The marriage was solemnised this morning according to Hindu customs.
The 25-year-old Ashwin made his ODI and Twenty20 debuts last year, after being a strike bowler for IPL franchise Chennai Super Kings.