Songhao Zhu | 朱淞豪

Congratulations! You've found the homepage of Songhao Zhu at the School of Mathematics, Georgia Institute of Technology.

My hobbies/speialties include, but not limited to, mathematics, classical music, piano, reading, linguistics, hiking, cooking (inflation, but you can't starve yourself), gardening (as a corollary), and I just started learning chess.

Research

Upcoming Talk

• UGA Algebra Seminar, Athens, GA
• Time: Oct. 12, 4:30-5:30 PM
• Title: From Shimura operators to the integrability of Calogero-Moser-Sutherland operators
• Abstract: We discuss super Shimura operators associated with Hermitian symmetric superpairs and their relationship to type BC supersymmetric interpolation polynomials. In a different direction, Heckman–Opdam theory establishes the quantum complete integrability of Calogero–Moser–Sutherland operators arising in quantum mechanics. In the non-super setting, the commutativity of Shimura operators, and thus of their radial parts, suggests an alternative way of proving such integrability. By bypassing geometry, we propose a conjectural, purely algebraic approach to this problem in both the ordinary and super settings. We will share recent developments. 
• Slides

Research Works

• In progress: Integrability of CMS systems via Shimura operator theory
• Super Krawtchouk Polynomials via Lie Superalgebras (with Plamen Iliev) (ArXiv)
• Eigenvalues of Supersymmetric Shimura operators and interpolation polynomials (with Siddhartha Sahi) (Adv. in Math.) (slides)
• Shimura operators for certain Hermitian symmetric superpairs (Journal of Lie Theory) (slides)
• Growth of root multiplicities along imaginary root strings in Kac–Moody algebras (with Lisa Carbone, Terence Coelho, Scott H. Murray, and Forrest Thurman) (Comm. in Alg.)
• A vanishing theorem for the canonical blow-ups of Grassmann manifolds (with Hanlong Fang) (Complex Manifolds),

Graduate Algebraic Representation Theory Seminar (GARTS) (at Rutgers)

Teaching

Fall 2026 MATH 3012: Applied Combinatorics

I'm a passionate teacher too. I have taught at both Rutgers University and Georgia Tech form Calculus stram to Combinatorics. The happiest thing for me is to look my students learn math and grow. It's absolutely joyous to share knowledge and above all, share how to acquire knowledge. Even/especially with AI, it's vital for us humans to know how to "own" what we know!

In my classes, I use small-group activities and student presentations to help students develop both problem-solving skills and mathematical reasoning. Beyond the classroom, I have mentored and organized the Directed Reading Program.

Contact me

Address:

Songhao Zhu
School of Mathematics
Georgia Institute of Technology
686 Cherry Street
Atlanta, GA 30332-0160 USA

Office:

Groseclose 223D

Email:

zhu DOT math AT gatech DOT edu

Music

Maintained by Songhao Zhu