Junaid Aftab

University of Maryland

College Park, MD 20740

junaida at umd dot edu

Hi! 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 fall under the umbrella of “Mathematics of Quantum Information.” I am interested in quantum algorithms for scientific computation, quantum machine learning theory, and the mathematical foundations of topological phases of matter and topological quantum computation.

The slogan Pure × Applied reflects my philosophy in approaching mathematics. I strive to 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 (K-theory, bordism, TQFTs), category theory, noncommutative geometry (C*-algebras, operator K-theory), and statistical learning theory in my research.

“There is no branch of mathematics, however abstract, which may not someday be applied to the real world.” – Nikolai Lobachevsky

Links: CV || 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.
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.