Junaid Aftab
PhD Student || Mathematician ||
I am a graduate student at University of Maryland, College Park. Previously, I completed my MS in Mathematics at Kansas State University and my BS in Economics & Mathematics at Lahore University of Management and Sciences.
My research interests lie in the mathematics of quantum information, with a focus on quantum algorithms for scientific computation—including linear systems of equations, differential equations, and quantum simulation—as well as quantum machine learning theory, topological phases of matter and quantum error correction.
The slogan Pure × Applied reflects my philosophy in approaching mathematics. I keep an open mind and I am eager to learn new mathematical techniques that can help solve problems I find compelling. In particular, I am interested in applying methods from algebraic topology, non-commutative geometry, category theory and various fields of applied mathematics in my research.
“There is no branch of mathematics, however abstract, which may not someday be applied to the real world.” – Nikolai Lobachevsky
Email: junaida@umd.edu
Links: Curriculum Vitae || arXiv || Lecture Notes || Code
news
| Jun 30, 2025 | I attended the Workshop on QFT and Topological Phases via Homotopy Theory and Operator Algbras workshop at Harvard from June 30 to August July 11. |
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| Dec 17, 2024 | A revised version of our paper titled Approximating Korobov functions via quantum circuits is now available on arXiv (arXiv:2404.14570). |
| Jul 29, 2024 | I attended the Algebraic Quantum Mechanics and Topological Phases of Matter workshop at CU Boulder from July 29 to August 2. I am excited to learn more about the operator algebraic approach to TQC and TPM. |