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YCor
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Gab Romero
Gab Romero
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I'm really interested in Topological Quantum Field Theory (TQFT) and am currently planning to focus on it in my undergraduate thesis. My university, unfortunately, does not allow double majors in mathematics and physics or even a minor in physics, hence I fear that I do not have enough background in physics. I have taken the standard physics series though and have also read that a high level of understanding of quantum field theory is not a hard prerequisite to doing mathematical research in TQFTs. My questions then are primarily:

How then should I start learning aboutand doing undergraduate-level research on TQFTs? Can I also ask for recommended readings oron TQFTs for undergraduates and/or directions for undergraduates hoping to do research in itthe field?

We were told that we are not really expected to come up with a unique result or proof of our own given our lack of mathematical knowledge, and I'm really hopeful that this is doable. Although I will do my best to independently learn what I need to, I will understand if this is too advanced of a topic for just an undergraduate. thankThank you!

I'm really interested in Topological Quantum Field Theory (TQFT) and am currently planning to focus on it in my undergraduate thesis. My university, unfortunately, does not allow double majors in mathematics and physics or even a minor in physics, hence I fear that I do not have enough background in physics. I have taken the standard physics series though and have also read that a high level of understanding of quantum field theory is not a hard prerequisite to doing mathematical research in TQFTs. My questions then are primarily:

How then should I start learning about TQFTs? Can I ask for recommended readings or directions for undergraduates hoping to do research in it?

We were told that we are not really expected to come up with a unique result or proof of our own given our lack of mathematical knowledge, and I'm really hopeful that this is doable. Although I will do my best to independently learn what I need to, I will understand if this is too advanced of a topic for just an undergraduate. thank you!

I'm really interested in Topological Quantum Field Theory (TQFT) and am currently planning to focus on it in my undergraduate thesis. My university, unfortunately, does not allow double majors in mathematics and physics or even a minor in physics, hence I fear that I do not have enough background in physics. I have taken the standard physics series though and have also read that a high level of understanding of quantum field theory is not a hard prerequisite to doing mathematical research in TQFTs. My questions then are primarily:

How then should I start learning and doing undergraduate-level research on TQFTs? Can I also ask for recommended readings on TQFTs for undergraduates and/or directions for undergraduates hoping to do research in the field?

We were told that we are not really expected to come up with a unique result or proof of our own given our lack of mathematical knowledge, and I'm really hopeful that this is doable. Although I will do my best to independently learn what I need to, I will understand if this is too advanced of a topic for just an undergraduate. Thank you!

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Gab Romero
Gab Romero
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  • 6

Undergraduate research in Topological Quantum Field Theory

I'm really interested in Topological Quantum Field Theory (TQFT) and am currently planning to focus on it in my undergraduate thesis. My university, unfortunately, does not allow double majors in mathematics and physics or even a minor in physics, hence I fear that I do not have enough background in physics. I have taken the standard physics series though and have also read that a high level of understanding of quantum field theory is not a hard prerequisite to doing mathematical research in TQFTs. My questions then are primarily:

How then should I start learning about TQFTs? Can I ask for recommended readings or directions for undergraduates hoping to do research in it?

We were told that we are not really expected to come up with a unique result or proof of our own given our lack of mathematical knowledge, and I'm really hopeful that this is doable. Although I will do my best to independently learn what I need to, I will understand if this is too advanced of a topic for just an undergraduate. thank you!