Hey, that's awesome that people are starting to come here for information! I'll take a stab at it, no guarantees, though. . .
First off, asexuality means lack of sexual attraction, but we're still capable of love. That said, just like the rest of the world, we aren't interested in everyone, even in a nonsexual way. So. . . this is going to sound harsh, but it's possible that this guy is not interested in you. That's the worst case scenario, so I figured I'd get it out of the way first.
Now we have to dive in the mire of asexual subgroups. There are asexuals who also consider themselves to be "aromantic" meaning that they don't feel the need for romantic relationships, but rather prefer friendships. So, if you're interested in this guy romantically and he is an aromantic asexual, that could be a sticky point too, as he would prefer to interact as friends.
Then, within the field of tactile contact, we span the whole range. Some of us don't like touch much--even nonsexual touch. Some are OK with casual touch but not more (ie, kissing or cuddling). Then there are some that probably like kissing but not cuddling or cuddling but not kissing, and from there is runs all the way up to people that are willing to engage in some sort of either limited or full sexual activity. Everyone's different, so that's kind of unique to the person you're interested in and you'll have to get to know him to determine what he likes, just like you would in any other relationship.
It all comes down to the fact that if you (and he) are interested in pursuing a relationship, it will take quite a bit of discussion between you two, as it would in any relationship. One difference is that there are a lot of assumptions that people make about ways of expressing their love that do not always hold true, and it makes it difficult to understand about yourself and also to explain to another person, because usually you just assume that you are as you are, and that everyone else is probably similar. That's not always in the case, and in the instance of asexual-sexual relationships, that's even more not the case. Sometimes for sexuals it's easy to misunderstand "lack of sexual desire towards you" as "lack of desire/interest in you" and to feel unloved, and yet the asexual has no understanding of why you are upset, because we interpret love and its sexual expression differently.
Since it's difficult for people to understand always how different they are from others, it's possible that the asexual is saying "no" to you for a variety of reasons. Some of them I mentioned above, or it's possible that he's previously had bad experiences with a sexual due to communications issues, whether they are verbal or sexual. However, it's also possible (depending on how much he reads about human sexuality, etc.) that he doesn't fully understand himself how to explain, either to himself or to you, what he wants.
Before I understood asexuality, I would automatically reject any romantic behavior/dating invitations/indications of interest from everyone, not because I didn't like them, but because I understood dimly that they were feeling something that I wasn't, and so I had to reject them then because it wasn't going to work, from my perspective. I'm an aromantic asexual, so I didn't "fall in love" with them, for instance, so it would have been cruel to "lead them on" from my perspective. I didn't have the words or even well articulated feelings to explain that what I wanted was friendship, and so given that their question was "Do you want a romantic/dating relationship?" my answer obviously had to be "no." There was no room in the discussion for explanations of expressions of love or anything like that, I couldn't counter with, "What I'd really like is an deep, meaningful relationship that will initiate as a friendship and deepen over time into a very intense one-on-one relationship," because when I phrased it in words, it came out as, "Let's just be friends"--which in my language is the ultimate form of bonding, and to them was the ultimate form of rejection. So that's something to keep in mind when talking to him. Not only sexual expectations, but your relative expectations of what your relationship "looks" like. . .to him, to you, to the world. . .might be very very different.
"Now it's right for me to be me."
Phil Halvorsen, from "The [Widget], the [Wadget], and Boff" (Theodore Sturgeon)