Aloysius Helminck

Dean of Natural Sciences

University of Hawaii at Manoa

United States

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Dr. Aloysius Helminck is the Dean of Natural Sciences at the University of Hawaii at Manoa. His research focuses on advanced topics in mathematics, including the orbits of unipotent elements in generalized symmetric spaces, solutions of integrable deformations of Lie algebras, and the classification of orbits in extended symmetric spaces. His recent publications reflect a commitment to exploring the intersections of algebra and geometry.

Articles (4)

Year:

2025

Year:

2025

Year:

2020

Year:

2020

Collaborators (3)

Ruth Haas

Professor

University of Hawaii

UNITED STATES

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Matthew Welz

Assistant Professor

Fort Lewis College

UNITED STATES

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Catherine Buell

Professor of Mathematics

Fitchburg State University

UNITED STATES

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Aloysius Helminck

Research Interests

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Articles (4)

Orbits of unipotent elements in the generalized symmetric space defined by inner involutions of SL3(𝔽q) and SL4(𝔽q) for q = 2n

A construction of solutions of an integrable deformation of a commutative Lie algebra of skew hermitian Z×Z-matrices

Classifying the orbits of the generalized symmetric spaces for SL2(Fq)

Extended symmetric spaces and θ-twisted involution graphs

Collaborators (3)

Ruth Haas

Matthew Welz

Catherine Buell

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