Look for a phone tech who understands electricity. :roll:
What charlie b said.
If that isn't an option, the first thing I would do is take a hard look at the install surrounding the 'modem'.
Is it an external modem i.e., a Cable or DSL modem?
If so, make sure the incoming and outgoing communication wires (coax and/or twisted pair) and the power supply are plugged into a quality (not the cheapest one at wallymart) SPD. If there already is a SPD installed, don't assume that it is working properly, even if it has an 'indicator light' that shows proper operation. These can malfunction and at best only tell you that the power portion is functioning, not the low voltage portion of the protector.
When we do these types of installs I like to use a name brand UPS that has the telco/coax protection built-in, that way all connections to the modem have a single ground reference point for their SPD's and the unit will still stay powered through a short power interruption.
One important note, most power strip type SPD's or UPS's are not listed as primary protectors, the incoming coax should run through a listed grounding block at the service entrance point and the telco usually has their own device located in the demarc box outside the home.
Of course without more info it could any number of other factors...............