The License Manager (mathlm) for Mathematica 4.0 and 4.1 allows remote attackers to cause a denial of service (resource exhaustion) by connecting to port 16286 and not disconnecting, which prevents users from making license requests.

The License Manager (mathlm) for Mathematica 4.0 and 4.1 allows remote attackers to bypass access control (specified by the -restrict argument) and steal a license via a client request that includes the name of a host that is allowed to obtain the license.

Directory traversal vulnerability in Wolfram Research webMathematica 1.0.0 and 1.0.0.1 allows remote attackers to read arbitrary files via a .. (dot dot) in the MSPStoreID parameter.

Mathematica 7, when running on Linux, allows local users to overwrite arbitrary files via a symlink attack on (1) files within /tmp/MathLink/ or (2) /tmp/fonts$$.conf.