Okay, first a slam, and then a commentary.
Hope you're well. I noticed your went to CalTech and wanted to see if you'd be interested in ...
Kitt with two Ts.
Are is a linking verb, so, "[I] hope you are good," or "[I] hope you are doing well."
The shortened name of the California Institute of Technology is spelled "Caltech," with a little t.
And I noticed you, not your, went, though you could make it your if you added a gerund after it and continued the sentence, "I noticed your graduating from Caltech and wanted ..."
Because How Could She Be Competent?Commentary Yeah, kitt finished writing this at 19:55 on 30 December 2021
Misogyny is alive and well in our "modern" era. I mean, when you're reading about this amazing find of lapis lazuli in a medieval woman's teeth, and you come across the paragraph,