P-Adic Analysis
Topics learned in course: p-adic numbers, p-adic absolute value, Hensel's Lemma, p-adic zeta functions.
Dedicated student who is skillful in problem-solving, data recording, and analytical thinking. Resourceful and adaptable 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.
Topics learned in course: p-adic numbers, p-adic absolute value, Hensel's Lemma, p-adic zeta functions.
Topics learned in course: qubits, quantum light generation and detection, quantum logic, entanglement, quantum eraser experiment, quantum algorithms. (Both theoretical and experimental lab components)
Topics learned in course: modular arithmetic, Chinese Remainder Theorem, quadratic reciprocity.
Topics learned in course: mathematical logic, model theory, logical structures, signatures, elementary equivalence and isomorphisms.
Topics learned in course: single photon emitters, quantum dots, topological states, majorana fermions, topological insulators, abelian vs. non-abelian anyons.
Topics learned in course: convergence, limits, continuity, basic topology, differentiability.