Stony Brook University · Pure & Applied Mathematics

Mathematics for cryptography.

I’m Asim Yel, an undergraduate preparing for research in post-quantum cryptography, number theory, and the mathematics of secure systems.

Research interests

Where I want to contribute.

Abstract lattice and quantum-wave illustration for post-quantum cryptography
01

Post-quantum cryptography

Lattices, LWE-style assumptions, hash-based signatures, and security after quantum attacks.

02

Number theory

Congruences, finite fields, modular arithmetic, and algebraic structure.

Code + proof

Readable experiments that test mathematical intuition.

Channel

Learn Math with Asim

Undergraduate math explanations in calculus, differential equations, and linear algebra.

Visit YouTube channel
Integer factorization

Modern public-key systems such as RSA rely on the practical difficulty of factoring large composite integers into their prime factors. These toy examples show the structure; real cryptographic moduli are vastly larger, which is why efficient factoring algorithms—and quantum threats to them—matter.

Selected work

A compact academic snapshot.

Short enough for a first pass; specific enough for a research conversation.

Research

Cybersecurity research project · NYIT

Conducted cybersecurity research under the supervision of Dr. Anand Santhanakrishnan, connecting secure systems with my growing interest in cryptography.

  • Cybersecurity
  • Research
  • NYIT
Teaching

Teaching Assistant · Probability & Statistics, SBU

Supported student learning in probability and statistics through course assistance, mathematical explanation, and problem-solving guidance.

  • Probability
  • Statistics
  • Mentoring
Instruction

Mathematics Instructor · Mathnasium

Taught mathematics in a student-centered environment, strengthening my ability to communicate technical ideas clearly and patiently.

  • Teaching
  • Math education
  • Communication

Education & academic preparation

A clear view of my training.

Education

Stony Brook University

Undergraduate student in Pure & Applied Mathematics after transferring from NJIT.

  • Pure & Applied Mathematics training with emphasis on proof-based coursework
  • Preparing for graduate study in cryptography, number theory, and secure computation

Academic & professional preparation

Research, teaching, and communication

A compact view of the work habits I bring into a lab, classroom, or graduate program.

  • Cybersecurity research experience at NYIT with Dr. Anand Santhanakrishnan
  • TA experience in Probability & Statistics at Stony Brook University
  • Mathematics instruction experience through Mathnasium
  • Creator of “Learn Math with Asim,” a YouTube channel for undergraduate math topics including calculus, differential equations, and linear algebra

Contact

Research conversations, mentorship, or admissions correspondence.

If your lab, reading group, or program works near post-quantum cryptography or number theory, I’d be glad to hear from you.

asim.yel@stonybrook.edu Stony Brook University