P-Adic Analysis
UCSB
Topics learned in course: p-adic numbers, p-adic absolute value, Hensel's Lemma, p-adic zeta functions.
Lana Azar
Glendale,CA
Summary
Dedicated student who is skillful in problem-solving, data recording, and analytical thinking. Resourceful and adaptable individual with experience in advanced mathematics and computer science. Passionate and self-motivated, driven to ask questions that go beyond the scope of courses. Comfortable handling complex issues, meeting strict deadlines, and adjusting to rapidly changing conditions. Passionate about mathematics and computer science and motivated to dive in-depth into the subjects through research.
Work History
Quantum Photonics
UCSB
Topics learned in course: qubits, quantum light generation and detection, quantum logic, entanglement, quantum eraser experiment, quantum algorithms. (Both theoretical and experimental lab components)
Intro Number Theory
UCSB
Topics learned in course: modular arithmetic, Chinese Remainder Theorem, quadratic reciprocity.
Advanced Modern Logic (Model Theory)
UCSB
Topics learned in course: mathematical logic, model theory, logical structures, signatures, elementary equivalence and isomorphisms.
Materials for Quantum Information Science
UCSB
Topics learned in course: single photon emitters, quantum dots, topological states, majorana fermions, topological insulators, abelian vs. non-abelian anyons.
Real Analysis
UCSB
Topics learned in course: convergence, limits, continuity, basic topology, differentiability.
Quantum Electronic Materials
UCSB
Topics learned in course: Schrodinger's equation, wave-particle duality, periodic potentials and energy bands, exclusion principle, atom structure, and tunneling.
Education
Bachelor of Science - Mathematics, Computer Science
University of California, Santa Barbara (UCSB)
Santa Barbara, CA06.2026
Skills
- Data Compilation
- Technical Writing
- Data Analysis
- Written and Verbal Communication
- Analytical Thinking
- Excellent Communication
- Problem Solving
Accomplishments
- CyberPatriot - Attained national platinum-level recognition by co-leading my team throughout high school.
- Mathematics Directed Reading Program - Participated in 1st year of college; worked with a math graduate student to learn Lie Algebra; produced a poster that was presented at the program's showcase.
- Hackathons (DiceCTF, Hacker 101, etc.) - Participated in multiple hackathons throughout high school and college and attained recognition in some.
- Data Science Club - Began participating in my 2nd year of college.
Programming Languages
Java
Full Professional
Python
Full Professional
C++
Professional Working
QisKit
Professional Working
JavaScript & CSS
Professional Working
Personal Projects
- Quantum Image Processing (2022) - Spent 10 weeks independently studying Quantum Information Science & Quantum Image Processing, and produced a presentation on the topic for a lab course; taught myself QisKit and generated a basic quantum image using it.
- Shor's Algorithm (2022) - Compiled and presented a report on Shor's Algorithm; presented both the theoretical and applications of the algorithm.
- Topological Quantum Computing (2023) - Worked with a team of 4 students to explore the subject of Topological Quantum Computing and produced a course report and presentation; did optics experiments to compare photonic quantum computing and topological quantum computing.
Timeline
P-Adic Analysis
UCSB
Quantum Photonics
UCSB
Intro Number Theory
UCSB
Advanced Modern Logic (Model Theory)
UCSB
Materials for Quantum Information Science
UCSB
Real Analysis
UCSB
Quantum Electronic Materials
UCSB
Bachelor of Science - Mathematics, Computer Science
University of California, Santa Barbara (UCSB)