Serialization of an object in unity causing IO Exception Sharing Violation At Path

Hello all, I am having intense difficulty with my persistent score keeper. I am attempting to save a custom object of type ScoreList which contains only a list of type Score. I am then serializing this ScoreList.

 using System.Collections;
 using System.Collections.Generic;
 using System.IO;
 using System.Runtime.Serialization.Formatters.Binary;
 using UnityEngine;
 
 public class FileCreator{
     string fileName;
     public ScoreList data;
     FileStream file;
     public FileCreator(string fileName)
     {
         this.fileName = Path.Combine(Application.persistentDataPath,fileName+".dat");
         /*if(!File.Exists(this.fileName)) {
             file = File.Create(this.fileName);
             file.Close();
         }*/
     }
     public void SerializeData()
     {
         file = File.Open(fileName, FileMode.OpenOrCreate, FileAccess.ReadWrite);
         BinaryFormatter bf = new BinaryFormatter();
         bf.Serialize(file, data);
         file.Close();
         file.Dispose();
     }
     public void DeserializeData()
     {
         file = File.Open(fileName, FileMode.OpenOrCreate, FileAccess.Read);
         BinaryFormatter bf = new BinaryFormatter();
 
         data = (ScoreList)bf.Deserialize(file);
         file.Close();
         file.Dispose();
         
     }
 }
 

I am getting an error at this line file = File.Open(fileName, FileMode.OpenOrCreate, FileAccess.ReadWrite);

The error is: IOException: Sharing violation on path C:\Users\Cameron\AppData\LocalLow\Wonderful3204\ToTheBeatVR\scoreinfo.dat (Shortened)

Does anybody have any ideas? Can I not serialize a list? Both the list and the Score classes are listed as serializable.