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//Don't use public sync objects, and "this" is public!

using System;
using System.Threading;

namespace Rextester
{
    public class Program
    {
        public static void Main(string[] args)
        {
            DateTime start = DateTime.Now;
            
            Console.WriteLine("Starting worker threads...");
            
            Person theMan = new Person("The Man");
            
            Thread p2thread = new Thread(new ThreadStart(theMan.Operate));
            
            p2thread.Start();
            Thread.Sleep(10);
            
            lock (theMan) {
                theMan.OperateNoLock();
            }
            
            p2thread.Join();
            
            Console.WriteLine("This should have taken about 3 seconds in parallel, instead it took {0} seconds.", (DateTime.Now - start).TotalSeconds);

Console.WriteLine("Done.");
        }
    }
    
    public class Person {
        private readonly string personId;

public Person(string id) {
            personId = id;
        }
        
        public void Operate() {
            DateTime start = DateTime.Now;
            
            //use private instance string as sync object for this resource
            lock (this) {
                // ... do stuff that takes 3 seconds ...
                Thread.Sleep(3000);
            }

Console.WriteLine("Person '{0}' operation took {1} seconds to complete.", personId, (DateTime.Now - start).TotalSeconds);
        }
        
        public void OperateNoLock() {
            DateTime start = DateTime.Now;
            
            // ... do stuff that takes 3 seconds ...
            Thread.Sleep(3000);

Console.WriteLine("Person '{0}' operation took {1} seconds to complete (No Lock).", personId, (DateTime.Now - start).TotalSeconds);
        }
    }
}

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Compilation time: 0.28 sec, absolute running time: 6.15 sec, cpu time: 0.11 sec, average memory usage: 32 Mb, average nr of threads: 7