Darshan P.

Think Beyond!

"If something is intriguing and complex, it must hold a certain beauty."

Areas of Interest

Combining diverse fields of knowledge could become the key to solving bigger problems.

Computer Science

Computers are amazing machines. Exploring different programming languages is something that never gets old. Depending on the project, I've worked with Assembly (x86), Bash, C, C++, Fortran, Golang, Haskell, Java, Python, R, SQL, TypeScript, and more.

Economics & Finance

Economics is about understanding how small changes can have big impacts. The 2008 crisis sparked an interest in how economic policies and human behavior interact. I see this as an opportunity to blend math, programming, and an understanding of human nature.

Mathematics

I enjoy teaching Linear Algebra in an intuitive way. Playing with Calculus and Geometrical Analysis for things like Celestial Objects is something I do for fun. Number Theory can be addictive, and I like to challenge myself by solving problems on Project Euler.

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Research Work

At this point, I don't believe I have produced anything that could significantly impact the world. However, I am continuously working on various projects and research areas that I am passionate about.

From the Summation of the Quotient Function to the Partition of Integers

The formula is derived using the quotient function \(q(n, k) = \lfloor n/k \rfloor \) and simple summations.

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Mathematical Framework for Skill-Based Number Betting and Payout Liabilities

We develop a mathematical model for a number betting mechanism where the winning outcome is determined by minimizing the aggregate wager on a digit.

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An Alternative Proof of the Fundamental Theorem of Algebra

We show that the degree of an irreducible polynomial in \(\mathbb{R}[X]\) is either 1 or 2. The argument then extends naturally to \(\mathbb{C}[X]\), where every irreducible polynomial must have degree 1.

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Design Papers

Creativity is the way I share my soul with the world. Here are some of the design papers that reflect my passion for visual storytelling and innovation.

Blockchain and Urban Governance

Blockchain is transforming urban governance by boosting transparency, accountability, and efficiency. Decentralized systems help cities tackle infrastructure, resource management, and citizen engagement challenges, creating more responsive governance.

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A Deep Dive into Secure Shell

This deep dive explores how SSH works under the hood, from key exchange to encrypted communication, and explains the different layers and mechanisms that ensure secure data transmission.

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Authorship Claim & Smart Contracts

This guide shows how to prove you authored any digital file—PDF, code, manuscript—without publicly releasing its contents.

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Blog

My reflections span finance, mathematics, technology, law, philosophy, and beyond—threads of a curious mind.

The 2008 Financial Crisis: A Decade of Consequences and Lessons for the Future

An in-depth analysis of the 2008 financial crisis, its long-lasting impact on the global economy, and the critical lessons we must remember for the future.

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C: The Language that Changed the World

A comprehensive overview of the C programming language, its history, impact, and the critical role it has played in software development across generations.

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Fly Too Close to the Sun

Exploring the myth of Icarus, its implications for ambition and risk-taking, and how the story resonates in modern contexts of human aspiration.

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The Dead Renaissance Society

This explores the philosophy of science, nihilism, existentialism, epistemology, and the pursuit of ultimate knowledge through skepticism. It began as a guide on how and why to learn science in a world fixated on the surface. My aim is to start with fundamental questions and gradually unfold something profound.

The Erosion of Depth: From Philosophy to STEM (Latest)

An early draft in the form of a reflective blog—this work seeks to reignite a love for science, not as mere utility but as a profound engagement with the unknown. More than anything, it is a call to question, to doubt, and to resist intellectual complacency.

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Recent Works

A draft paper on Architecturing Consent for Democracy and its control over the masses
It is nothing more than manuscript work, a draft in the making.

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The Dead Renaissance Society Index

A map to the archives of intellectual restlessness—the Renaissance Society blogs exist as a testament to the dialectic between tradition and the avant-garde, between what is inherited and what is to be created.

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My Bookshelf

My collection spans nearly every area of interest you could imagine. I began with books on mathematics, but over time, I realized the power of blending diverse knowledge. Today, my bookshelf holds 70+ folders and over 550+ books and research papers each contributing to an ever evolving web of understanding.

Contact

Feel free to reach out for collaborations, queries, or just to say hello.

Have an idea or a project in mind? Drop me a message, and I'll get back to you!