"conquer a woman?"
Beyond my disbelief at that comment, I would say if you ask a question then listen more than lip service to the answer. I think men and women want the same things. To be respected, listened to, receive courtesy and be honest in your feelings and be there in the moment.
Your question made me think about the things men have said to me over the years......and the first one that popped into my head was how my youngest son always says "Hi beautiful" when he texts or calls me. We both know it is a "silly" little thing - but it never fails to put a smile on my face.
Given you say you are a political scientist and a philosopher I would have thought not coming off like a failed Machiavelli would have been a no brainer. While witty banter is always appreciated, given the example above, thinking before you speak or type would be a good start
Assuming that we already know each other or are dating, my suggestion is "That's a good idea / I hadn't thought of that / Looked at it that way, etc."
That said, in terms of pick-up lines for the sole sake of conquering or anything of the sort, nothing. It will all seem fake.
I'm with KK Gator--don't lie. Talk about her character. Does she have a kind heart? Is she compassionate? Does she do goot things for others? If so...when you SEE these things happening, tell her! "You know, that's something I REALLY LIKE about you! You're always kind to others." Etc. Of course...there's always this one...."You should see how the light shines on your hair tonight." Then SMILE!
Say something sincere that is real, not based on sex appeal or appearance..notice things about her, compliment her outfit, or something she did herself, etc. For example; I loved that piece you wrote for the country news section. It had some great ideas."
Or compliment her appearance without sexualizing it, such as, "That color brings out the blue in your eyes."
I have spoken to 2 men in the past two months that I got warm and fuzzy over after talking on the phone once, then poof! They disappeared on me. But the crazy, creepy, overly religious guys won't get a clue and take a hike. I swear. If a nice, sweet, real guy finds me... it won't matter what he says to me, I will find a way to drive him away.
An amazing array of Politically correct comments. Civilization as we know it, is only 4,000 years old. A blink whan compared to evolution. When it comes to romance our wirings are still early homo sapiens, but our cultural approach has developed to a level of absurdity. It is not reduced to an absurd, but rather grown into an absurd. Attraction is instictual and premordial and our stupid ettiquette is diametically opposed to it.
If you want to "conquer" a woman (and your instincts are revealed in your question), just be yourself.Being funny and intelligent helps.