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Update about.md
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kammitama5 authored Oct 28, 2023
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Expand Up @@ -35,7 +35,7 @@ won't use it much, except to read, as I'm pretty busy.
a Compilers course in Haskell and another CS course. For my oral quals, the agenda is: Quantum Computing and Mathematical Cryptography, Elliptic Curves (passed!) and Graph Theory (yes, I convinced the department to let me take all Maths topics!)!
- I do not work directly with Quantum Computers; post-quantum means "we assume that we have quantum computers; will this cryptography be subject
to attacks where a quantum computer can break it?". The cryptography with respect to this should have hardness properties to prevent this. However, I do have to know *just enough* about Quantum Computing (algorithms, how it works, what it can and cannot do) to write a dissertation
with a solid introduction on Quantum Computing in general, and how it relates to (post-quantum) isogeny-based cryptography.
with a solid introduction on Quantum Computing in general, and how it relates to (post-quantum) isogeny-based cryptography. This has taken me into work that has been on quantum algorithmic complexity, in particular, relating to work at the intersection of Algebraic / Spectral Graph Theory and Quantum Computing Complexity.
- I have been forbidden from taking any more classes (for now) by "some professor(s)" who do Algebraic Graph Theory research :) In terms of coursework, I've taken Post-Quantum Mathematical Cryptography (Maths department), Data Privacy (CS), Secure and Distributed Computation (CS), Machine Learning (CS), Abstract Algebra I: Group Theory (Maths) and Abstract Algebra III : Groups, Fields, some Ring and Galois Theory (Maths: focused on preparing Maths PhD students for Quals), Abstract Algebra IV A: Ring and Module Theory (Maths), along with a Random Probabilistic Graphs class (Maths), Algebra IV C: Elliptic Curves and Modular Forms (Maths), and sat in on an Elementary Number Theory course (Maths). I also have taken Combinatorical Graph Theory (Maths), Spectral Graph Theory (Maths), Category Theory, and self-learning (Set Point) Topology (Maths), Matroids (Maths), while sitting in on the Theory of Algebraic Differential Equations and a Matroids and Polytopes class because why not. I'm also learning a bit of Model Theory, too, because sometimes Pure Maths professors reach out to me to learn things because of my enthusiasm and passion for the subject! Basically, if there is "Abstract anything", you will find me there.
- Some other things along the way I am learning (not for research) are Real Analysis, Ramsey Theory, HDX and Expander Graphs, and Extremal Graph Theory, through my awesome professors in my Pure Maths department who have been quite patient with me!
- I have also participated in two Quantum Computing book clubs (2022 and 2023), a Quantum Field Theory book club (2023), and in 2023 participated in two quantum computing summer schools (PCMI and SoQ) and a Quantum hackathon. The summer schools focused on (i) quantum information theory, quantum algorithms and complexity (and the quantum advantage), quantum learning theory, and cryptography and error-correcting codes. I also participated in a quantum formalism course (because why not).
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