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I am a PhD student in the Statistics, Probability, and Machine Learning Research Group at Universitat Pompeu Fabra (UPF), supervised by Piotr Zwiernik. I will hold the "la Caixa" Doctoral INPhINIT Fellowship starting in October.
My research is primarily centered around inequalities, with further interests in robust statistics, matrix analysis, and optimization.
Previously, I completed my bachelor's and master's degrees at the University of Toronto and the University of Chicago, respectively.
Email: zhekai.pang@upf.edu
Publications
Publications
A Gamma envelope and sharp moment inequalities for Gaussian quadratic forms, preprint
Counterexamples to a conjectured Schatten norm inequality, preprint
Counterexamples to a multivariable matrix Young conjecture, preprint
Proof of Dittert's conjecture for dimensions n>=17, preprint
Real matrices as linear combinations of three orthogonal matrices, Linear Algebra and its Applications, Vol. 753, 198-209.
Absolute moment inequalities under quadratic-form positivity, Statistics & Probability Letters 2026, Vol. 238, 110869.
Teaching
Teaching
Teaching Assistant
Teaching Assistant
Fixed Income Securities and Hedging (32888), Spring 2026 (Graduate)
Mathematics III (21127), Spring 2026 (Undergraduate)
International Strategic Management (21144), Spring 2026 (Undergraduate)
Strategic Management II (21862), Winter 2026 (Undergraduate)
Instructor
Instructor
Before beginning my PhD, I spent one year teaching mathematics competition preparation courses for middle and high school students, mainly for contests in the United States, Canada, and the United Kingdom.
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