Hello, i am a university professor and i work from home most of the time to conduct research and write documents, i am wondering if i am qualified to claim home office

No. For a W-2 employee to claim a home office, he must not only meet the Regularly and Exclusively test, he must meet the convenience of the employer  test. This almost always means he does not have a place to work at the employer's facility

References:

Home Office. http://www.irs.gov/Businesses/Small-Businesses-&-Self-Employed/Home-Office-Deduction

Home office convenience of the employer http://www.nolo.com/legal-encyclopedia/can-you-deduct-your-home-office-when-youre-employee.html

Hi. I am a University lecturer/professor who receives a W2, but I work for my University exclusively online now. I have no office on campus. Can I use the home office deduction? 

Unfortunately, no you can not.

Misc. Deductions Subject to the Two Percent Floor was eliminated for the years 2018 through 2025, including unreimbursed job expenses for W2 work, by the Tax Cuts and Jobs Act. 

@taxi2020

Thanks for the reply. Is there any chance that, if Trump is not reelected, the Tax Cuts and Jobs Act that he and the GOP passed will be reversed and this benefit reinstated prior to 2025? 

There is no way to predict what any future administration will do.