Dr. Nakato Sarah

Lecturer-Mathematics

Dr. Sarah Nakato is a mathematics lecturer and Head of the Department of Mathematics at Kabale University, Uganda. Before the lectureship, she worked for two years as a postdoctoral researcher at the Institute of Analysis and Number Theory, Graz University of Technology, Austria. She completed her Ph.D. studies at the same University in 2020, supervised by Prof. Sophie Frisch and Dr. Roswitha Rissner.
She is passionate about teaching and research; her research interests lie in commutative algebra, factorization theory, integer-valued polynomials, and cryptography. She is a co-founder and current convenor of African Women in Algebra, an association that brings together African women working in algebra and its applications.

She has been active in several African mathematics initiatives; for instance, she was the convenor of the Inaugural African Women in Algebra Workshop held at Kabale University in July 2024. She was also the group leader/lecturer for the Algebra group at the Women in Sage – Burundi workshop – September 2024 and the Women in Sage – Uganda workshop – September 2023, and a trainer at the Training School in Algebraic Geometry and Arithmetic at the University of Rwanda in August 2024. She also participated in the Eastern Africa Algebra Research Group workshops, the African mathematics seminar, and the Abram Gannibal Project, a collaborative research project in applied algebra and geometry in Africa.

She is also enthusiastic about giving back to the mathematics community; for instance, she runs Facebook groups for mathematics job announcements and stipends: Mathematics scholarships and Mathematics Scholarships II.

Her non-academic life is a life of service in any way God guides her; she desires to see people care for one another. She also runs the Facebook group Christ-like living to encourage others in their life’s journey.

Qualifications

Ph.D. in Natural Sciences (Mathematics) – Graz University of Technology, Austria

Master of Science in Mathematics – Makerere University, Uganda

Bachelor of Science with Education (Mathematics major) – Kyambogo University, Uganda

Research Interests

  •  Commutative algebra, factorization theory, integer-valued polynomials, and cryptography 

Publications

Victor Fadinger, Sophie Frisch, Sarah Nakato, Daniel Smertnig, Daniel Windisch . (2026) . Primes and absolutely or non-absolutely irreducible elements in atomic domains . Communications in algebra, [online] Volume . Available at: https://www.tandfonline.com/doi/full/10.1080/00927872.2025.2586234
Sarah Nakato, Roswitha Rissner . (2025) . Irreducible Integer-Valued Polynomials with Prescribed Minimal Power that Factors Non-uniquely . Available at: https://link.springer.com/chapter/10.1007/978-3-031-75326-8_17
Moritz Hiebler, Sarah Nakato, Roswitha Rissner . (2023) . Characterizing absolutely irreducible integer-valued polynomials over discrete valuation domains . Journal of Algebra, [online] Volume 633, pp. 696-721. Available at: https://www.sciencedirect.com/science/article/pii/S0021869323003307
S. Frisch, S. Nakato, R. Rissner . (2022) . Split absolutely irreducible integer-valued polynomials over discrete valuation domains . Journal of Algebra, [online] Volume 602, pp. 247-277. Available at: https://www.sciencedirect.com/science/article/pii/S0021869322001028
S. Frisch, S. Nakato . (2020) . A graph-theoretic criterion for absolute irreducibility of integer-valued polynomials with square-free denominator . Communications in Algebra , [online] Volume 48(9), pp. 3716-3723. Available at: https://doi.org/10.1080/00927872.2020.1744618
S. Nakato . (2020) . Non-absolutely irreducible elements in the ring of integer-valued polynomials . Communications in Algebra, [online] Volume 48(4), pp. 1789-1802. Available at: https://doi.org/10.1080/00927872.2019.1705474
S. Frisch, S. Nakato, R. Rissner . (2019) . Sets of lengths of factorizations of integer-valued polynomials on Dedekind domains with finite residue fields . Journal of Algebra, [online] Volume 528, pp. 231-249. Available at: https://www.sciencedirect.com/science/article/pii/S0021869319301486
A. Antoniou, S. Nakato, R. Rissner . (2018) . Irreducible polynomials in Int(Z) , p. 10. Available at: https://doi.org/10.1080/00927872.2019.1705474

Projects

Africa-Uninet Project: Uganda-Austria Collaboration in Algebra and Geometry

Prof. Balazs Szendroi, Prof. Sophie Frisch, Prof. David Ssevviiri, Dr. Sarah Nakato, Dr. Annet Kyomuhangi January, 2025

Supervision

Master’s students

Zaituni Kansiime (Graduated October 2025)

Nalule Hadijah (Graduated October 2024)

Sania Kyoyagala (Graduated October 2024)

 

 

Undergraduate students

Ahimbisibwe Godfrey (Graduated October 2024)

Ahimbisibwe Juden (Graduated June 2024)

Begumisa Hassan (Graduated June 2024)

Mugondi Ivan (Graduated October 2024)

Muhindo Imani Solomon (Graduated October 2024)

Isaac Namanya (Graduated October 2025)

Ndayambaze John (Graduated June 2024)

Tusiime Hannington (Graduated June 2024)

Twisigimana Derick (Graduated June 2024)

 

 

 

 

 

 

 

Presentations

INVITED TALKS

  • Women in Sage – Burundi workshop, University of Burundi, Burundi, September 2024. Lecturer/ group leader for the Algebra group

CONFERENCE TALKS

  • Factorization theory in rings of integer-valued polynomials, Polynomials and Arithmetic, Université de Lille, France.  May 2022

SEMINAR AND WORKSHOP TALKS 

  • Factorization theory in rings of integer-valued polynomials (Slides), Kabale University Mathematics Seminar, Kabale University. February 2023
  • Split absolutely irreducible integer-valued polynomials, Mfano Africa Graduate Seminar. February 2022. (Online)
  • Factorization theory in rings of integer-valued polynomials, Research talk, York University, Canada. January 2022. (Online)
  • Split absolutely irreducible integer-valued polynomials over a DVR, Algebra colloquium, Graz University of Technology. March 2021.  (Online)
  • Factorization theory in rings of integer-valued polynomials on Dedekind domains (Video) African Mathematics Seminar, University of Nairobi, Kenya. October 2020. (Online)
  • Absolutely irreducible integer-valued polynomials on a principal ideal domain, Algebra and Number theory seminar– University of Graz, Austria. June 2020.  (Online)
  • Absolutely irreducible elements in the ring of integer-valued polynomials, Doctoral School Seminar, University of Graz, Austria. June 2018.
  • Non-unique factorizations in rings of integer-valued polynomials on certain Dedekind domains, Doctoral School Seminar, Graz University of Technology, Austria. January 2018.
  • Non-unique factorizations in rings of integer-valued polynomials, DK Seminar – Alpen-Adria-Universität Klagenfurt, Austria. April 2018.
  • Integer-valued polynomials on rings of integers in number fields with prescribed sets of lengths,Algebra and Number theory seminar – University of Graz, Austria. November 2017.

 

CAREER TALKS 

  • Scholarships and Scholarship Access (Slides), Mfano Career event, Mfano Africa. March 2023 (Online)
  • African female mathematicians – opportunities and overcoming challenges (Video): Mfano Africa. November, 2020 (Online)

More Information

Workshop Organisation

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