In today's wireless networks, stations using the IEEE 802.11 standard contend for the channel using the Distributed Coordination Function(DCF). Research has shown that DCF's performance degrades especially with the large number of stations. This becomes more concerning due to the increasing proliferation of wireless devices. One way to improve the throughput of a wireless ad hoc network at the Media ACcess (MAC) layer is to allow as much as possible concurrent transmissions among neighboring nodes. In this paper, the authors present a new concurrent Medium Access Protocol called Concurrent MAC which supports concurrent transmission while allowing the network to have a simple design with a single channel, single transceiver, and single transmission power architecture.