The dead in Christ are in the presence of the Lord, our spirit. What rises is their body. God will resurrect our bodies and give us a glorified body like our Lord. We are reunited with our new body.

2 Cor 5:6-9

Therefore, being always of good courage, and knowing that while we are at home in the body we are absent from the Lord —  for we walk by faith, not by sight — we are of good courage, I say, and prefer rather to be absent from the body and to be at home with the Lord. Therefore we also have as our ambition, whether at home or absent , to be pleasing to Him.
NASU

1 Cor 15:35-44
35 But someone will say, "How are the dead raised? And with what kind of body do they come?"
36 You fool! That which you sow does not come to life unless it dies;
37 and that which you sow, you do not sow the body which is to be, but a bare grain, perhaps of wheat or of something else.
38 But God gives it a body just as He wished, and to each of the seeds a body of its own.
39 All flesh is not the same flesh, but there is one flesh of men, and another flesh of beasts, and another flesh of birds, and another of fish.
40 There are also heavenly bodies and earthly bodies, but the glory of the heavenly is one, and the glory of the earthly is another.
41 There is one glory of the sun, and another glory of the moon, and another glory of the stars; for star differs from star in glory.
42 So also is the resurrection of the dead. It is sown a perishable body, it is raised an imperishable body; 
43 it is sown in dishonor, it is raised in glory; it is sown in weakness, it is raised in power;
44 it is sown a natural body, it is raised a spiritual body. If there is a natural body, there is also a spiritual body. 

Phil 3:20-21
20 For our citizenship is in heaven, from which also we eagerly wait for a Savior, the Lord Jesus Christ;
21 who will transform the body of our humble state into conformity with the body of His glory, by the exertion of the power that He has even to subject all things to Himself.

1 Cor 15:51-53
51 Behold, I tell you a mystery; we will not all sleep, but we will all be changed,
52 in a moment, in the twinkling of an eye, at the last trumpet; for the trumpet will sound, and the dead will be raised imperishable, and we will be changed.
53 For this perishable must put on the imperishable, and this mortal must put on immortality.
NASU