1. To stay physically in front of something or someone. The Kenyan runner remained ahead of the others for the duration of the race. You remain ahead of us and act as a scout for any danger.

2. To continue to be in a position to deal with something before it becomes a problem or a burden. We'll want to remain ahead of any problems that may crop up between now and the project's launch date. We try to remain ahead of any issues between employees by cultivating an environment of trust and open communication.

3. To continue to be on or ahead of one's target, schedule, or responsibility for work. I'm having trouble remaining ahead of my deadlines, lately. They're making it harder and harder for us to remain ahead of our sales quotas. Thankfully, the construction crew was able to remain ahead of schedule throughout the build, so we should be able to move into the house before winter.

4. To continue to be in a position that is better or more advanced than others. Their research facility receives a huge amount of funding from the government, which has allowed them to remain ahead of the curve in their field for the last 50 years. With its intuitive design, accessible interface, and affordable pricing, their latest video game console has remained ahead of the pack for the last few years.