Skip to main content

I figured it out!

I was just talking three days ago that I haven't figured out how to show that quadratic annihilation operators are linearly independent. Yesterday, I figured it out! At least, for a certain type of operator. I just have to be clever about it. 

I am really proud of this one because I struggled with it for days. This proof is a bit more complicated than the one about annihilation operators. And it needs a lemma or two. And some mathematical induction.

The last three weeks has been crazy. Too many things happened. Now I want to settle down a bit. Focus on what matters. 

For now, we are preparing a paper. Then I'm writing the manuscript. I have a month to do that before I submit it to my advisers. Then make arrangements for that trip in Tunisia. 

It will be a crazy semester. I hope I graduate on time. I have so many ideas but that will have to go to the recommendation chapters. Let's wrap it up! I think I have enough to answer the objectives in my proposal.

Labels:

Comments

Post a Comment

Popular posts from this blog

The Greatest Love Story Ever Told

This is the greatest love story ever told (and still being written). And I’m living in it! Since this blog has been instrumental in making it happen, it’s only fitting that I post it here. And so when people (me included) think it happened so fast, it’s actually years in the making. Having this blog fast tracked the “getting to know” stage. At least, that’s the logical part of me talking. But love is rarely logical.  How it started A day after final exams for the summer term of AY 2023-2024, I received a bunch of anonymous emails. At first, I shrugged it off as a newsletter that I signed up to. A couple emails later, it became clear that it came from one of my former students. Didn’t know it was her until August 2nd. Realized feelings were mutual the day after. Made the relationship official on August 7th. I was the one who asked because “she didn’t wanna cross the line”.  I used to say, in this blog , that I’m only interested in how couples get together, not really what’s ...
Post a Comment
Read more

Dream high: My ideal dissertation topic

I want my study to be foundational . Something I and others can stand on. Seminal, I would say. I don't want it to just be a dissertation. Something you write and then forget. I want it to inspire me and others. The second criteria that I want is interdisciplinarity. It has to draw on two or more fields--not just mathematics. Something people outside math can appreciate. The T-shaped model comes to mind. The generalist-specialist. Source:  Why T-shaped people? by Jason Yip I know it's a pipe dream. But if I have to dream, why not dream high, right? But I have to be careful that it doesn't stop me from even starting. I should not let perfectionism hinder me from exploring.
Post a Comment
Read more

Happy new year!

I'm done with the dissertation. I sent it to my adviser and I'm just waiting for his feedback. This past month has been tough. I realized that I couldn't make it to the deadline. I could not graduate this semester. My break was not fun. It was no break at all. But it's over now. And strangely, I don't know what to do with myself. What do I do with my free time? Guess I gotta find a job soon.
Post a Comment
Read more