Summer Al Hamdani

Research

Broadly speaking, my interests (of the mathematical variety) revolves around multilinear harmonic analysis--specifically, I have been thinking about under what conditions certain Radon-like transforms are $L^p$-improving, and exploring certain questions in Fourier restriction theory. More casually, I also enjoy learning about how certain problems in harmonic analysis naturally arise in fields like data science, physics, PDEs, and number theory (and vice versa).

Publications

  1. Summer Al Hamdani. “Multilinear Averages on Curves.” In preparation 2026 [link]
  2. Summer Al Hamdani and Khang Tran. “Zeros of a binomial combination of Chebyshev polynomials.” International Journal of Number Theory 18, no. 04, pp. 799-811, 2022 [doi | link]
  3. Summer Al Hamdani. “Zero distribution of binomial combinations of Chebyshev polynomials of the second kind.” Master's thesis, California State University, Fresno 2021
  4. Mihai Raul Gherase and Summer Al-Hamdani. “Improvements and reproducibility of an optimal grazing-incidence position method to L-shell x-ray fluorescence measurements of lead in bone and soft tissue phantoms.” Biomedical Physics and Engineering Express 4, no. 6, 2018 [doi | link]
  5. Mihai Raul Gherase and Summer Al-Hamdani. “A microbeam grazing-incidence approach to L-shell x-ray fluorescence measurements of lead concentration in bone and soft tissue phantoms.” Physiological Measurement 39, no. 3, pp. 035007, 2018 [doi | link]
  6. Summer Al-Hamdani and Alexandra Leon. “On Classical Multiplier Sequences.” The PUMP Journal of Undergraduate Research 1, pp. 14-29, 2018