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I am a senior lecturer at the Science faculty of
Kibbutzim College of Education, Technology and the Arts, since 2018.

 

My postdoctoral research was carried in the Tropical team, 
led by Prof. Stephane Gaubert, and joint to INRIA and CMAP,
at École Polytechnique, Paris.

 

My Ph.D., earned in 2014, was carried out
at the Mathematics Department of Bar-Ilan University,
and supervised by Prof. Louis Rowen,
with one year as an Erasmus student at KUL Belgium
hosted by Dr. Filip Cools.

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My research interests are

Max-Plus Algebra:   Tropical algebraic structures and their extensions,

                                 determinantal identities, normal forms, matrix factorization,

                                 eigenspaces and eigenvalues.

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Matrix Theory:         Total positivity and total non-negativity, elementary 
                                matrices, weight matrices, Boolean matrices, sign-singularity.

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Graph Theory:         Combinatorics of permutations, weighted quivers, optimal
                                assignment problems, perfect matchings.

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Abstract Algebra:    Semirings with symmetry, ordered semirings, group actions,
                                path algebra. 

 

Math education:    Euclidean geometry, non-Euclidean geometry, combinatorics.

Adi Niv
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