Dr. Nakato Sarah is a pure mathematics lecturer in the Department of Mathematics, Faculty of Science, Kabale University. 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.

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 group leader/lecturer for the Algebra group at the Women in Sage -Uganda workshop, 2023, and participated in 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 is a mentor under Mfano Africa and 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

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

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Supervision

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Presentations

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

Mathematics in Africa – a panel discussion,Vienna School of Mathematics Event, University of Vienna, Austria. December 2022

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,African Women in Mathematics Seminar, Stellenbosch University, South Africa. October 2020. (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)

Non-unique factorizations in rings of integer-valued polynomials, Algebra and Functional Analysis seminar – University of Ljubljana, Slovenia. March 2019.

Absolutely irreducible elements in the ring of integer-valued polynomialsDoctoral School Seminar, University of Graz, Austria. June 2018.

Non-unique factorizations in rings of integer-valued polynomials on certain Dedekind domainsDoctoral 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.

On the Prime Ideal Principle in commutative rings,   1st Nairobi Workshop on Algebraic Geometry, University of Nairobi, Kenya. August 2015.

 

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)

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