MathKernel.exe is part of a product called known as Mathematica Kernel and the developer is Wolfram Research, Inc. .
If you think that this file contains a virus or another malware, please download a virus scanner.
If MathKernel.exe is using too much CPU or too much memory in your system, it is possible that your file has been infected with a virus. Installing an antivirus is recommended.
Not all processes can be uninstalled without the help of a 3rd party tool, especially malware. To see if it can be uninstalled, first go to Start > Control Panel > Add/Remove programs and select Mathematica Kernel from the list to remove the process MathKernel.exe from your computer.
If you have any problems with MathKernel.exe, you may try using a registry cleaner or a speed-up software to check, analyze, and fix problems that are affecting the performance of your computer.
You may try contacting Wolfram Research, Inc., the developer of MathKernel.exe and ask for more information.