There are tons of asteroids out there that are just people's names, so there’s a very good chance there is an asteroid of your name. Go through the list of asteroids on astro.com, and see if any of them are of your name.
It can be your first, middle, or last name, a nickname, or something close to your name. Then see what the asteroid is doing in your own natal chart.
The Asteroid of Your Name = Alternate Sun
I like to think that the asteroid of your name is like an alternate Sun for you. The sign and house location in your natal chart of the asteroid of your name can feel very personal to you, like your natal Sun does, and can be a part of your personality (like the Sun). Same with aspects the asteroid of your name makes to the other natal planets.
Anything conjunct the asteroid of your name can be especially important, similarly to if they were conjunct your natal Sun. This may explain why something is strong for you even though it’s not seen via the natal planets by themselves.
Asteroids of your name can also figure in relationship astrology analysis, and there are usually links with people in your life. You can look to see if your asteroid is prominent in the charts of those you're close to. For example, in my brother's chart, his asteroid Nicole (my name) is conjunct his Moon - I always was a bit of a mother to him!
You’ll often find that close family members, friends, romantic partners, and business connections will have a link via the asteroids of your name. This can be shown in your own natal chart, in their natal chart, in the composite chart between you, or in synastry (the way your charts interact with one another).
The Asteroid of Your Name in Transit
In transit, where the asteroid of your name is located and the aspects it makes can show events in your life and where your focus is. I track the aspects the asteroid of my name makes to my natal planets, houses, and the transit planets, as well as transit aspects by the other transit planets to the natal asteroid of my name, just like I track the rest of the transit planets aspecting my chart.
I view it similar to the impact of the transit Sun, and the transit asteroid of your name shines a light on whatever the natal planet or house or transit planet being impacted rules. Transit aspects by the transit planets to your natal asteroid of your name can feel a lot like transit aspects to your natal Sun.
On the day that I first got obsessed with asteroids, asteroid Nicole (my name) was sitting on my 3rd house cusp, the house of learning. How astrological!
To find where your asteroid is currently located you can use astro.com (go to Extended Chart Selection, then click on Ephemeris, and type the number for your asteroid in the Manual entry box of the Additional objects section and generate an ephemeris). So what is the asteroid of your name up to?
Suggested Reading: Asteroid Veritas in Astrology