Dear Professor [Last Name],

I hope this email finds you in good spirits during the festive season. As we approach the end of the year, I wanted to take a moment to extend my warmest wishes for a Merry Christmas and a happy New Year.

I am delighted to share that I have successfully commenced my PhD program, and it has been an enriching experience so far. The program is demanding, but I am enjoying the intellectual rigor and the challenges that it presents.

I hope this email finds you well and that you have been enjoying the holiday season with your loved ones. It would be great to catch up and hear about how everything has been for you.

Thank you for your time, and I look forward to hearing back from you.

Best regards,
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