Query about the q- and qt-Characters Implementation Project

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Mohamed Mahdi

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Mar 31, 2025, 10:04:46 AMMar 31
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Hi,

I am a fourth-year ICT Engineering student from Tunisia (our program lasts five years) and I am interested in the q- and qt-characters implementation project. I find this project very interesting because it focuses on engineering, understanding the theory and finding an optimized implementation, instead of being only theoretical or research-based.

After studying the subject briefly through research papers and discussing it with ChatGPT, I have created an initial plan for representing q- and qt-characters.

Class Diagram:
Monomial Class: This class will define the mathematical operations as they are described in algebra.
Character Class: This class will include a collection of Monomials (that is, a sum of Monomials).

Implementation Strategy:
I plan to represent operations using a graph where each node represents a monomial. A combinatorial operation will then be implemented by traversing this graph. I intend to use DFS because it allows me to add DP techniques to reduce computation and memorize previous computations.

For qt-characters, I will extend the Monomial class using inheritance to add the extra grading factor.

Please note that I completed my studies in French, so I sometimes find it difficult to express mathematical ideas in English.

I would like to ask: Even though I am not a PhD candidate or an expert in advanced mathematics, I have completed two years of pre-engineering. This has given me a solid foundation to understand the necessary mathematical concepts.

Do you think my background qualifies me for this project ? 
I am happy to discuss the details further if I am eligible.

tcscrims

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Apr 1, 2025, 11:17:13 PMApr 1
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Dear potential applicant,
   I would strongly recommend that if you want to submit a proposal, you select a different idea to build your proposal around. In particular, your class design and implementation strategy is not related with how q/qt-characters are computed.

Best,
Travis

Pawani Agarwal

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Apr 2, 2025, 6:51:16 PMApr 2
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Hello,

I am Pawani. I have been interested in two projects. One of which is Functionalities for Krylov Methods over exact fields and other is Providing an implementation for q- and qt- characters. Is it possible to get a feedback for my proposal regarding implementation of q- and qt- characters. Also should I send you my proposal privately or here?
Looking forward to your response!

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