Thank you for your question.
There may be various causes for the whites of your tongue, most commonly due to chronic trauma/ infection eg) frictional keratosis/ candidiasis. Of course, leukoplakia, as per pointed out by Dr Gan is also a potential diagnosis.
A thorough history taking, clinical examination, and biopsy may be carried out to aid in the correct diagnosis of your condition, as treatment modalities would vary depending on the diagnosis.
Dental wise, you may visit a Oral Maxillofacial Surgeon (Dental specialist) or Dentists with special interest in Oral Pathology. I know of Dr Andrew Robinson/ Dr Catherine Hong from NUH and Dr Chelsia Sim from NDC whom you may approach for consultation.
Hope this helps!