Turn Employee Data List Into Singleton Class App

I have made an list employee data app in C# with functions like AddEmployee, DeleteEmployee, SearchEmployee. I would like to make the same program, but using Singleton design pattern. I know the structure of Singleton, but I messed up with making the list and then adding the actual employee into the list.

Here is a portion of my program:

class Student : IComparable<Student>
{
    //public int id;
    public string name;
    public decimal salary;
    public string position;
    public int intern;

    public Student(string name, string position, int intern, decimal salary)
    {
        this.name = name;
        this.position = position;
        this.intern = intern;
        this.salary = salary;
    }

public string Name { get; set; }
public decimal Salary { get; set; }
public string Position { get; set; }
public int Intern { get; set; }

    public void CalculateSalary()
    {
        salary = 1000 * intern;
    }

    public override string ToString()
    {
        return "Name: " + name + "\t Position: " + position + "\t Intern: " + intern + "\t Salary: " + salary;
    }

    /// <summary>
    /// Gets student information from the user and adds a new student to the list
    /// </summary>
    /// <param name="existingStudents">The list of students to add to</param>
    private static void AddStudent(List<Student> existingStudents)
    {
        string ans = "";
        do{

            // Initialize the list if it's null
            if (existingStudents == null) existingStudents = new List<Student>();

            int tempInt;

            // Get student information from the user
            Console.WriteLine("Enter new student information");

            Console.Write(" 2. Enter student Name: ");
            var name = Console.ReadLine();

            Console.Write(" 3. Enter student Job Title: ");
            var jobTitle = Console.ReadLine();

            do
            {
                Console.Write(" 4. Enter student years of service: ");
            } while (!int.TryParse(Console.ReadLine(), out tempInt));
            var yrsOfService = tempInt;

            var salar = tempInt;

            // Add the new student to the list
            existingStudents.Add(new Student(name, jobTitle, yrsOfService, salar));

            foreach (Student stud in existingStudents)
            {
                stud.CalculateSalary();
                Console.WriteLine(stud.ToString());
            }
            Console.WriteLine("Do you want to add another Student? y/n");
            ans = Console.ReadLine();
        } 
        while (ans != "n");
    }

In the main program I have a list and call the addStudent function:

             List<Student> st = new List<Student>();

        int answer = 1;
        do
        {
            Console.WriteLine("============================");
            Console.WriteLine("2. Read From File");
            Console.WriteLine("3. Add Student...");

            answer = Convert.ToInt32(Console.ReadLine());

            switch (answer)
            {
                case 2:
                    JustReadFromFile(st, filePath);
                    break;
                case 3:
                    AddStudent(st);
                    break;
                case 4:
                    Console.WriteLine("Exit Menu...");
                    break;
            }
        } while (answer != 4);

List st = new List();

I know that I have to make a private static instance.

   private static Student st;

Also, there should be a private Student constructor instead of mine above.

   private Student() { }    

And this is the method which will create my new student. I also think that I need a similar method to create my list, but I am not sure.

   public static Student getInstance()
{
    if (st == null)
        st = new Student();
    return st;
}

Can you give some directions and advice please. Thank you