Summary
I am a professional mathematician working at the University of Nevada, Reno.
Research interests
- Analysis (functional, harmonic, real)
- Geometry (differential, non-commutative)
- Mathematical physics
- Operator algebras
- Set theory
- Topology (algebraic, differential)
Courses taught
- Math 120E (Fundamentals of College Mathematics Expanded)
- Math 126 (Precalculus I)
- Math 126E (Precalculus I Expanded)
- Math 126EE (Precalculus I Expanded 3 + 3)
- Math 283 (Calculus III)
- Math 310 (Introduction to Analysis I)
- Math 330 (Linear Algebra)
- Math 412/612 (Functional Analysis)
Education
- B.S. (First Class Honours), Mathematical Sciences, Nanyang Technological University, 2008
- M.A. (Distinction), Mathematics, University of Kansas, 2013
- Ph.D. (Distinction), Mathematics, University of Kansas, 2016
Selected publications
- L. Hall, L. Huang, J. Quigg. The Modular Stone-von Neumann Theorem.
Journal of Operator Theory, Volume 89(2) (2023), pp. 571-586. - L. Huang, L. Cummings. A Mathematical Analysis of the Wind-Triangle Problem and an Inquiry into True-Airspeed Calculations in Supersonic Flight.
International Journal of Aviation, Aeronautics, and Aerospace, Volume 8(4) (2021), 20 pages. - C. Farsi, L. Huang, A. Kumjian, J. Packer. Cocycles on Groupoids Arising from ℕᵏ-Actions.
Ergodic Theory and Dynamical Systems, published online (October 18, 2021), 32 pages. - L. Huang, L. Ismert. The Covariant Stone-von Neumann Theorem for Actions of Abelian Groups on C*-Algebras of Compact Operators.
Communications in Mathematical Physics, Volume 378 (2020), pp. 117-147. - L. Huang. Generalization of a Real-Analysis Result to a Class of Topological Vector Spaces.
New Zealand Journal of Mathematics, Volume 50 (2020), pp. 21-27. - L. Huang. Automatic Continuity of *-Representations for Discrete Twisted C*-Dynamical Systems.
New York Journal of Mathematics, Volume 24 (2018), pp. 1068-1075. - L. Huang. Metrized Quantum Vector Bundles over Quantum Tori Built from Riemannian Metrics and Rosenberg’s Levi-Civita Connections.
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), Volume 14 (2018), 079, 21 pages. - L. Huang. Generalized Fixed-Point Algebras for Twisted C*-Dynamical Systems.
Journal of Mathematical Analysis and Applications, Volume 463(2) (2018), pp. 534-575. - L. Huang. Some Applications of Order-Embeddings of Countable Ordinals into the Real Line.
Real Analysis Exchange, Volume 43(2) (2018), pp. 417-428.