How can I tell if my process is running as Administrator?

Here's a one liner to do it.

using System.Security.Principal;

static bool IsElevated => new WindowsPrincipal(WindowsIdentity.GetCurrent()).IsInRole(WindowsBuiltInRole.Administrator);

Technically, if you want to see if the member is the local administrator account, then you can get the security identifier (SID) of the current user through the User property on the WindowsIdentity class, like so (the static GetCurrent method gets the current Windows user):

WindowsIdentity windowsIdentity = WindowsIdentity.GetCurrent();

string sid = windowsIdentity.User.ToString();

The User property returns the SID of the user which has a number of predefined values for various groups and users.

Then you would check to see if the SID has the following pattern, indicating it is the local administrator account (which is a well-known SID):

S-1-5-{other SID parts}-500

Or, if you don't want to parse strings, you can use the SecurityIdentifier class:

// Get the built-in administrator account.
var sid = new SecurityIdentifier(WellKnownSidType.BuiltinAdministratorsSid, 
    null);

// Compare to the current user.
bool isBuiltInAdmin = (windowsIdentity.User == sid);

However, I suspect that what you really want to know is if the current user is a member of the administrators group for the local machine. You can get this SID using the WellKnownSidType of BuiltinAdministratorsSid:

// Get the SID of the admin group on the local machine.
var localAdminGroupSid = new SecurityIdentifier(
    WellKnownSidType.BuiltinAdministratorsSid, null);

Then you can check the Groups property on the WindowsIdentity of the user to see if that user is a member of the local admin group, like so:

bool isLocalAdmin = windowsIdentity.Groups.
    Select(g => (SecurityIdentifier) g.Translate(typeof(SecurityIdentifier))).
    Any(s => s == localAdminGroupSid);

I think this is a good simple mechanism.

using System.Security.Principal;

WindowsIdentity identity = WindowsIdentity.GetCurrent();
WindowsPrincipal principal = new WindowsPrincipal(identity);
bool isAdmin = principal.IsInRole(WindowsBuiltInRole.Administrator);