Research

Broadly speaking, I am interested in discrete mathematics, especially number theory, combinatorics, and finite fields. For my PhD, I am currently working on various problem related to equations of restricted height. During my bachelor and master studies, I did a total of two final projects on some objects over finite fields. However, I am open for learning other topics.

Publications

• Muhammad Afifurrahman, Vivian Kuperberg, Alina Ostafe, and Igor E. Shparlinski. Statistics of ranks, determinants and characteristic polynomials of rational matrices, submitted. Preprint.
• Muhammad Afifurrahman. Some counting questions for matrix products, accepted to Bulletin of Australian Mathematical Society. Preprint.
• Muhammad Afifurrahman and Aleams Barra. Determining Sidon polynomials in Sidon sets over Fq x Fq, accepted to Journal of Algebra Combinatorics Discrete Structures and Applications. Preprint.
• Muhammad Afifurrahman. On the number of different entries in involutory MDS matrices over finite fields of characteristic two, AIP Conference Proceedings 2423, 060002 (2021). Preprint.

Other projects coming soon.

Research Talks

Slides supplied when available.

• UNSW Number Theory Seminar, May 2024. Arithmetic statistics of rational matrices of bounded height. Slides
• Combinatorial Number Theory And Connected Topics (CONTACT - III) (online), March 2024. Counting products of integer matrices with bounded height.
• First Joint IIIMT – Algebra Forum Conference 2023, Universitas Mataram, Mataram, Indonesia (online), December 2023. Arithmetic statistics of rational matrices of bounded height.
• The 67th Annual Meeting of the Australian Mathematical Society (AustMS 2023), University of Queensland, Brisbane, Australia, December 2023. Arithmetic statistics of rational matrices of bounded height. Slides
• 11th Number Theory Down Under Conference, Australian National University Mathematical Science Institute, Canberra, Australia, September 2023. Counting products of integer matrices with bounded height. Slides
• MathTech 2020 , Universiti Sains Malaysia, Penang, Malaysia (online), November 2020. On the number of different entries in involutory MDS matrices over finite fields of characteristic two.

Education

PhD in Mathematics, University of New South Wales, Sydney, Australia (2022-present)

• Current thesis topic: Arithmetic statistics of matrices (over sets of number theoretic interests).
• Advisors: Alina Ostafe & Igor E. Shparlinski

MSc (M.Si.) in Mathematics, Institut Teknologi Bandung, Bandung, Indonesia (2020-2021)

• Thesis: Polynomial parametrization for some classes of maximum sidon sets over finite fields
• Advisor: Aleams Barra (also well-known for his YouTube channel. He might be the most-subscribed Indonesian lecturer in Youtube.)

BSc (S.Si.) in Mathematics, Institut Teknologi Bandung, Bandung, Indonesia (2016-2020)

• Thesis: On the mumber of different entries in involutory MDS matrices over finite fields of characteristic two
• Advisor: Aleams Barra