Some of our own local favorites:

Tiffin
1341 University Blvd.
Phone:  301-434-9200
Authentic South Indian Cuisine.

RJ Bentley’s
7323 Baltimore Ave.
Phone: 301-277-8898
Casual sport’s bar-like restaurants located approximately 2 blocks south of campus along Route

For somewhat fancier dining:

Busboys and Poets
5331 Baltimore Avenue
Hyattsville, MD
Phone: 301-779-2787 (ARTS)
Busboys and Poets is a community gathering place. The name Busboys and Poets refers to American poet Langston Hughes, who worked as a busboy at the Wardman Park Hotel in the 1920s, prior to gaining recognition as a poet

Franklins
5123 Baltimore Avenue
Hyattsville, MD
Phone: 301-927-2740
Connected to a funky historic general store.

LODGING

A list of local lodging options from the University of Maryland's Department of Business Services

Various groups on campus have created web pages listing local hotels or providing other useful information for visitors. Some of the best are here:
Center for Scientific Computation and Mathematical Modeling
Astronomy  (with clickable map, but don't be confused by information on that page about their event; we are meeting in the Bioscience Research Building near the Student Union at the center of campus)