to Alberich:
I am somewhat confused by your statement.
You see, "anti-resonance" means parallel resonance which delivers a maximum R. Your prof. required you to achieve a maximum R while wanting to dump the parallel resonance, how to achieve that?! There is a self-contradiction in your statement.
In my opinion, parallel resonance is not a good situation for proper antenna operation, generally speaking, because then they mostly have too large a R to be matched with common feeding lines.
Added after 27 minutes:
For illustration, I add a set of simulation curves here. Note that the performance of this example is not optimized, just for illustration.
The working status of your antenna is just like around 2.7GHz in my example, where also a best matching appears. Refer to the impedance curve, you can see the antenna is not purely neither parallel resonance nor series resonance.