I often write blogposts detailing my mathematical journey, predominantly through Medium and LinkedIn. I have also served as a guest contributor to Proofs and Prompts. These blogposts are mostly about either my teaching, or about my academic career. Recent topics have included: an overview of recurrence relations, takeaways from some talks I gave on my research, and how I built a meaningful working relationship with my PhD advisors.
I have also collaborated on these efforts with others. Joint expository mathematics articles submitted to peer-reviewed journals are listed below.
Hung V. Chu, Steven J. Miller, Joshua M. Siktar, "Fractional derivatives and the Gamma function: a motivated introduction via the half-derivative" (in preparation).
Hung V. Chu, Steven J. Miller, Joshua M. Siktar, “Why does the slope definition of e Work? A self-contained exploration after real analysis” (submitted).
Hung V. Chu, Steven J. Miller, Joshua M. Siktar, “Composite numbers in an arithmetic progression,” Mathematics Magazine, Vol. 99, July 2026, pp. 224-232.
Finally, I sometimes write expository lecture notes to aid in my own understanding of a mathematical topic, and then share the notes with others.
Gâteaux differentiation of abstract cost functionals
Nonlinear problems: monotonicity theory terminology and results
Why to use continuous finite element functions instead of discontinuous ones
Green's function bounds with correctors
Service to the profession is an important aspect of my career as a mathematician. The beautiful thing about outreach and service is that there are a lot of different ways a mathematician can make a broader impact on their communities, be it within their department, surrounding educational institutions, or even society as a whole. My service contributions focus on paying forward opportunities that were given to me as a student, and serving as a source of inspiration and advice for students wishing to pursue math and science-oriented careers. In the past, this has involved recruiting graduate students for the University of Tennessee, as well as giving talks to high school and college students about problem-solving techniques and overviews of life as a mathematician. Also, when organizing minisymposia at regional meetings, I make sure to invite students to present their work.