Yohannes Tadesse Aklilu

Teaching

Autumn 2019

• Practical Cryptology
• Matematik 3, behörighetsgivande kurs
• Matematik T

I also am course coordinator and examiner to the following courses this term:

• Förberedande kurs i matematik
• Matematiskt introduktionskurs till tekniker
• Matematik 3, behörighetsgivande kurs
• Matematik T
• Diskrete matematik
• Matematik för Ingenjörer II
• Praktisk Kryptologi

Spring 2019

• Förberedande kurs i matematik
• Matematik 3, behörighetsgivande kurs
• Applied functional analysis (University of Dar es Saalam)

Research

I am interested in studying algebraic, combinatorial and topological properties of monomial ideals in a polynomial ring. Syzygies, minimal free-resolutions, (graded) Betti numbers of monomial ideals, (hyper) graphs, Hilbert (Poincare) series are some of the topics of my interest.

I am also interested in differential operators over a commutative Noetherian local ring. In particular, I am interested in studying structure and properties of Lie-algebroids of derivations preserving ideals and modules over them.

Publications

Rolf Källström and Yohannes Tadesse, Hilbert series of modules over Lie algebroids, J. Algebra 432(2015), 129{184, DOI 10.1016/j.jalgebra. 2015.02.020. MR3334144

Yohannes Tadesse, Poincare’ series of monomial rings with minimal Taylor resolution, Matematiche(Catania) 67 (2012), no. 1, 119{128. MR2927824

Yohannes Tadesse, Derivations preserving a monomial ideal, Proc. Amer. Math. Soc. 137 (2009), no. 9, 2935{2942, DOI 10.1090/S0002-9939-09-09922-5. MR2506451

Yohannes Tadesse, Tangential Derivations, Hilbert Series and Modules over Lie Algebroids, Ph.D thesis, isbn:978-91-7447-372-8, urn: urn:nbn:se:su:diva-62642, 2011.

Yohannes Tadesse, The Module of Derivations Preserving a Monomial Ideal, Research Reports in Mathematics 10 (2007),  Stockholm University.