Uha Isnaini


Number Theory, Cryptography, and Algebra


  • Undergraduate: Department of Mathematics, UGM
  • Master : Department of Mathematics, UGM
  • Doctoral : Mathematics and Mathematics Education, NIE – NTU Singapore

Dr Uha Isnaini is an Assistant Professor at Algebra Laboratory, Department of Mathematics, Universitas Gadjah Mada, Yogyakarta. Dr Uha received his PhD in pure mathematics from the National Institute of Education, Nanyang Technological University, Singapore. His main research interests is on partition functions, congruences and algebraic number theory. He also has interests in algebra research, such as ring theory and module theory.

Currently, he is a co-chair of Indonesian Algebraic Society (IAS). He was the chair of Indonesian Algebraic Society region Yogyakarta and Central Java in 2021-2022. In Indonesian Mathematical Society, he served as coordinator of media and information technology.

Dr. Uha received Dean Commendation award three times from National Institute of Education, Singapore. He was awarded people choice for poster presentation in Graduate Student Conference 2018 conducted by National Institute of Education, Singapore. He also won poster presentation in the 9th Singapore Mathematics Symposium 2018, conducted by Singapore Mathematical Society in 2018.

Research interests

Uha’s initial research interest was ring theory and module theory. In the early years of his faculty career, he devoted much attention to properties of associated prime over module. He also worked on clean ring, especially clean ideal and n-clean ideal.

While ensemble learning continued to captivate his curiosity, in more recent years Uha explored a hodgepodge of different topics—such as number theory and cryptography. In 2020, he received PhD with thesis entitled Arithmetic properties of partitions and representations of integers by binary quadratic forms


PhD student

  1. Yosua Feri Wijaya (2023-) (Co-promotor) Topic: –
  2. Annisa Dini Handayani (2023-) (Co-promotor) Topic: –
  3. Abdul Hadi (2022-) (Co-promotor) Topic: –

Master student

  1. Naelufa Syifna Wifaqotul Muna (2023) (Supervisor) Topic: –
  2. Saifullah Ali (2023) (Supervisor) Topic: –
  3. Purnama Sari (2023) (Supervisor) Topic: –
  4. Aisyah Nooravieta Setiawan (2022-) (Co-supervisor) Topic: –
  5. Yosua Feri Wijaya (2021-2022) (Supervisor) Topic: Partitions with Designated Summands and Some of Its Development

Undergraduate student

  1. Adi Sudrajat (2023-) (Supervisor) Topic: –
  2. Salsabilla Nirmalasari (2023-) (Supervisor) Topic: –
  3. Indriani Safitri (2023-) (Supervisor) Topic: –
  4. Widya Ruli Astuti (2023-) (Supervisor) Topic: –
  5. Dinda Lestari (2023-) (Supervisor) Topic: –
  6. Eterna Maka Suci (2022- ) (Supervision) Topic: –
  7. Annisa Nur Fatikah (2022-2023) (Supervision) Topic: Arithmetic Identity of the Number of Representations of a Number as a Sum of Three Triangles
  8. Cika Aryanti (2022- 2023) (Supervision) Topic: Arithmetic Properties of Partitions with Even Parts Distinct
  9. Agung Aldhi Prastya (2022-2023) (Supervision) Topic: The Binary Partition Function
  10. Fadhlan Zaahiran (2022-2023) (Supervision) Topic: Residue of Some Partition Functions with respect to Modulo 2,3, and 4.
  11. Maria Ayu Rosari (2021-2022) (Supervision) Topic: Eigenvector of Companion and Double Companion Matrix
  12. Fiszedta Putri Kinanti (2021-2022) (Supervision) Topic: MATRU : An NTRU–based Cryptosystem
  13. Naelufa Syifna Wifaqotul Muna (2021) (Supervision) Topic: On Partitions with Designated Summands


Paper in Journal/Proceeding

  1. Prastya, A.P. and Isnaini, U., 2023, Interpretasi Kombinatorial Kongruensi Fungsi Partisi Biner Modulo 2, Journal of Mathematics UNP, 8(1), 85-91.
  2. Zhaahiran, F. and Isnaini, U., 2023, Residu b_{4,6}(n) terhadap modulo 2 dan 3, Journal of Mathematics UNP, 8(1), 101-109.
  3. Isnaini, U and Hong, N., 2022. New congruences for fractional powers of the generating function for the partition function. AIP Conference Proceedings, 2575(1), p. 020004. AIP Publishing LLC.
  4. Muna, N.S.W. and Isnaini, U., 2021. Bukti Alternatif Beberapa Fungsi Pembangkit pada Partisi dengan Penjumlah Ditandai. Jurnal Matematika Integratif, 17(1), pp.43-49.
  5. Isnaini, U., 2019. On $k$-restricted overpartitions. Rocky Mountain Journal of Mathematics, 49(4), pp.1207-1221.
  6. Isnaini, U., Melham, R. and Toh, P.C., 2019. The number of representations of a positive integer by triangular, square, and decagonal numbers. Bulletin of Korean Mathematical Society, 56(5), pp 1143–1157.
  7. Isnaini, U. and Toh, P.C., 2018. On some congruences for Andrews’ singular overpartitions. Integers, #A5, pp. 1-17.
  8. Isnaini, U., 2016. Beberapa Sifat Ideal Bersih-N. Jurnal Fourier, 5(2), pp.65-70.
  9. Isnaini, U. and Wijayanti, I.E., 2015. Pembentukan Ring Bersih Menggunakan Lokalisasi Ore. Jurnal Matematika & Sains, 19(1), pp.1-7.


  1. Aljabar linear elementer | Yeni Susanti, Sri Wahyuni, Uha Isnaini, Iwan Ernanto | Gadjah Mada University Press, 2023 | ISBN: 978-623-359-122-5
  2. Prasetyo, Puguh Wahyu and Isnaini, Uha and Nurnugroho, Burhanudin Arif and Prahmana, Rully Charitas Indra (2020) Elementary Number Theory. UAD Press. ISBN 978-602-0737-75-1

See also his Google Scholar(link) page for further information