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Euclidean Algorithms & GCD
Rigorous study of divisibility, greatest common divisors, and Bézout's Theorem — the arithmetic backbone of modern cryptography.
Mahindra University · Class of 2027
Ambresh Yadav
Theoretical CS · Researcher · Founder
A polymath entrepreneur at the intersection of rigorous mathematical research, theoretical computer science, and ground-level business leadership. Motivated by a personal encounter with Anand Mahindra — bridging abstract computation with real-world impact.
IYMC
Qualifier
6
Math Disciplines
CMI
Research Mentor
1K
sq ft Startup
Class of
2027
Profile
The Polymath
Entrepreneur
Ambresh is a high-achieving Freshman at Mahindra University (Class of 2027), majoring in Computer Science. His profile is a unique intersection of rigorous mathematical research, competitive excellence, and ground-level entrepreneurship.
He specialises in the Mathematical Foundations of Computer Science — Multivariable Calculus, Complex Analysis, Linear Algebra, Number Theory, and Cryptography — driven by a passion for the theoretical frameworks that power modern computation and digital security.
Beyond academia, Ambresh is the founder of Soaply The Restro in Kerakat, Jaunpur — a premium multi-cuisine startup inspired by the "Rise" philosophy of Anand Mahindra. He also serves as an academic mentor for NTSE and CBSE students.
His current interests span cryptography and business security, and he is actively learning Mandarin Chinese.
C Programming
Number Theory
Graph Theory
RSA Cryptography
Linear Algebra
Abstract Algebra
Data Science
Formal Logic
Academic Work
Number Theory
& Cryptography
Working under Dr. M. Subramani — an alumnus of the prestigious Chennai Mathematical Institute — at IIITDM Kanchipuram. This research project bridges pure mathematical abstraction with the practical security of our digital world.
The work moved from rigorous study of the Euclidean Division Algorithm through Congruence Theory, Prime Numbers, and Ring Theory — culminating in the full implementation of RSA Encryption, one of the most widely used public-key cryptosystems in existence today.
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Congruence & Modular Arithmetic
Fermat's Little Theorem, Euler's Theorem, and the Chinese Remainder Theorem — the mathematics of clocks that powers encryption.
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Ring Theory & Units
Algebraic structures — Rings, Fields, Gaussian integers — the formal framework behind encryption and error-correction.
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RSA & One-Way Functions
Full RSA key generation, encryption & decryption. Analysis of One-Way Functions, Strong/Weak OWFs, and the Factoring Assumption.
π
Primes & Generalized Induction
Generalized induction proofs for prime distribution — Chebyshev's Theorem, Fermat's Two-Square Theorem, and primality testing.
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Classical Cryptography
Caesar, Substitution, Vigenère ciphers, the One-Time Pad, Shannon's Theorem, and the conditions for perfect secrecy.
📄
Download the Full Research Paper
PDF · 423 KB · Co-authored with Dr. M. Subramani (CMI)
Download ↓
Entrepreneurship
Soaply The Restro
Inspired by the "Rise" philosophy and a personal encounter with Anand Mahindra, Ambresh founded Soaply The Restro in Kerakat, Jaunpur — a 1,000 sq ft multi-cuisine startup that brings Taj-level premium hospitality to his local community.
Meeting Anand Mahindra wasn't just meeting a billionaire — it was meeting the architect of the "Rise" philosophy. His core belief that business is a tool to drive positive change reinforced the idea that you don't have to choose between being a Technical CS Student and a Business Founder.
Ambresh applied the same analytical rigour from his research to the startup — designing the menu, pricing model, and customer experience from first principles. The multi-cuisine innovation mirrors how the Mahindra Group itself diversified from steel to tech to autos.
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Multi-Cuisine Menu
47+ items · 9 categories
📱
Online Ordering
UPI, Card, Net Banking, COD
⚡
30 min Delivery
Fast, fresh, always hot
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Affordable Pricing
Quality without compromise
Curriculum
Mathematical
Foundations
of CS
These six disciplines are the "first principles" of the digital world — the mathematical bedrock beneath every algorithm, security protocol, and AI system.
Mastering the intersection of these fields with a specific focus on how abstract mathematical structures manifest as concrete computational tools: from RSA encryption to graph traversal, from tensor operations to error-correction codes.
01
Combinatorics
Asymptotic analysis through generating functions and recurrence relations — mastering exactly how algorithms scale toward infinity.
Algorithm Complexity02
Graph Theory
Network flow, tree traversals, and the structures that allow the internet, social networks, and circuit boards to function efficiently.
Networks · Connectivity03
Number Theory
Modular arithmetic, primality testing, and the Chinese Remainder Theorem — the integer properties underpinning all of cryptography.
Primes · Congruences04
Cryptography
Applying "hard" math problems — integer factorization, discrete logarithms — to create secure communication. Mathematical complexity into digital privacy.
RSA · OWF · Shannon05
Linear Algebra
The heartbeat of modern AI and computer graphics. Tensor operations, eigendecomposition, and vector spaces for high-dimensional data.
AI · Data Science06
Abstract Algebra
Groups, rings, and fields — the deep symmetries behind error-correction codes (QR codes), formal language theory, and cryptographic protocols.
Rings · Fields · GroupsLeadership
Teaching &
Mentorship
Ambresh actively mentors NTSE and CBSE students — translating the same complex mathematical concepts he masters at the university level into accessible, structured learning for competitive exam aspirants.
His "Math-to-Code" philosophy: for every Abstract Algebra concept learned, implement a small script that demonstrates it — from RSA encryption simulators to graph traversal algorithms. The fastest way to solidify the "Theoretical" part of a CS identity.
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IYMC Qualifier
Qualified for the International Youth Math Challenge — demonstrating world-class problem-solving ability in pure mathematics.
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NTSE Tutor
Mentoring students preparing for one of India's most competitive national scholarships — covering mathematics and science fundamentals.
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CBSE Mathematics Mentor
Translating university-level mathematical rigour into accessible learning frameworks for Class 10-12 students.
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Learning Mandarin
Expanding linguistic horizons — studying Chinese as part of a broader intellectual curiosity and global perspective.
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C Programming · Theoretical CS
Implementing theoretical constructs in C — bridging the gap between pure mathematical abstraction and computational practice.
Let's Connect
Get in Touch
Whether you're interested in research collaboration, academic discussion, Soaply Restaurant, or you'd just like to connect — reach out.
📍 Mahindra University, Hyderabad · Soaply Restaurant — Kerakat, Jaunpur