Alfred Noel

MLK Visiting Professor 2000-2001 Assistant professor, Department of Mathematics, University of Massachusetts Boston

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This was a very productive year. The teaching was very stimulating. I had the opportunity to work with some very good African American students. My research went very well. I submitted one paper for publication, and I am about to complete another. I express my deepest gratitude to the MLK Visiting Professorship Program at MIT and to David Vogan, chairman of the Mathematics Department, for allowing me to be part of the Program.

— Alfred Noel

Background

Alfred G. Noel is a lecturer in mathematics, computer science and biostatistics at Northeastern University. Noel holds a BET in electrical engineering from the Centre Pilote de Formation Technique in Port-au-Prince, Haiti. He earned a mathematics high school teacher certificate at the Institut Pédagogique National in Port-au-Prince, Haiti. Noel went on to earn an MSc in applied mathematics (1986) and a PhD in pure mathematics (1997).

Interests

Noel’s research focuses on representation theory of lie groups using a combination of classical and computational techniques as well as mathematics education. He worked as a senior software engineer at Computervision and a research engineer at Peritus Software before joining the faculty at Northeastern in 1984. Noel gives lectures at national and international conferences worldwide (France, Spain, Poland, Russia, China, Japan, Singapore). He is a member of the American Mathematical Society and the National Association of Mathematicians. Since 1996 he has organized a seminar series for the Haitian Scientific Society, of which he is a founding member.

As a 2000-2001 MLK Scholar at MIT, Noel was hosted by the Department of Mathematics, where he taught a course in linear algebra and conducted research, resulting in two papers in the American Mathematical Society Journal of Representation Theory.

News Items

Dec 13, 2001

MLK Visiting Professors welcomed

Five new Dr. Martin Luther King Jr. Visiting Professors have joined two holdovers on campus for the fall semester.

Sample Work

Publication
Classification of Admissible Nilpotent Orbits in Simple Exceptional Lie Algebras of Type E6(6) and E6(-26)
Classification of Admissible Nilpotent Orbits in Simple Exceptional Lie Algebras of Type E6(6) and E6(-26) American Mathematical Society Journal of Representation Theory, Volume 5 (494-502) 2001.
Publication
Classification of Admissible Nilpotent Orbits in Simple Exceptional Lie Algebras of Inner Type
Classification of Admissible Nilpotent Orbits in Simple Exceptional Lie Algebras of Inner Type. American Mathematical Society Journal of Representation Theory, Volume 5 (455-493) 2001.
Publication
Component Groups of Centralizers of Nilpotents in Symmetric Space
Component Groups of Centralizers of Nilpotents in Symmetric Space. Co-author Donald R. King. Journal of Algebra Vol 232 (94-125) 2000.
Publication
Nilpotent Orbits and Theta-stable Parabolic Subalgebras
Nilpotent Orbits and Theta-stable Parabolic Subalgebras. American Mathematical Society Journal of Representation Theory, Volume 2 (1-32) 1998.

Publication
Classification of Nilpotent Orbits in Symmetric Spaces
Classification of Nilpotent Orbits in Symmetric Spaces. Proceedings of the American Mathematical Society DIMACS African Americans in Mathematical Sciences volume 34 (123-127) 1997.
Publication
Progress and Process in Math Excel at Northeastern University
Progress and Process in Math Excel at Northeastern University. Co authors Maurice P. Gilmore, Thomas P. Stephens,Jr. The Center for Innovation in Urban Education Studies, Volume II, 1996 edited by J. Frazer, Northeastern University
Publication
Council for African American Researchers in the Mathematical Sciences: Volume III
Council for African American Researchers in the Mathematical Sciences: Volume III. Fifth Conference for African American Researchers in the Mathematical Sciences, June 22-25, 1999, University of Michigan, Ann Arbor, Michigan. Alfred G. Noël, Earl Barnes, Sonya A. F. Stephens Editors. American Mathematical Society Contemporary Mathematics, Volume 275. (2001)
Expository Paper
TITS SYSTEMS, PARABOLIC SUBGROUPS, PARABOLIC SUBALGEBRAS
TITS SYSTEMS, PARABOLIC SUBGROUPS, PARABOLIC SUBALGEBRAS, Northeastern University, June 1996. This paper was written as part of the requirements for a course, Topics in algebraic geometry, taught by Prof. V. Lakshmibai in the Spring 1996 quarter.
Presentation
NOTICED NILPOTENT ORBITS OF REAL LIE ALGEBRAS
NOTICED NILPOTENT ORBITS OF REAL LIE ALGEBRAS. This is the content of a poster presentation at the Third CAARMS meeting in Baltimore Maryland in June 1997.
Presentation
CENTRALIZERS OF NILPOTENTS AND THE BALA-CARTER CLASSIFICATION
CENTRALIZERS OF NILPOTENTS AND THE BALA-CARTER CLASSIFICATION. This is the content of a talk given at the GASC seminar at Northeastern University on June 7, 1999.
Presentation
COMPONENT GROUPS OF CENTRALIZERS OF NILPOTENTS IN SYMMETRIC SPACES
COMPONENT GROUPS OF CENTRALIZERS OF NILPOTENTS IN SYMMETRIC SPACES. This file contains a talk that was given at CAARMS5, University of Michigan, in June 99. The general theory is studied using the group SL(n,R) as an example. This is for an audience of non-specialists. There is no Lie structure theory. Everything is done in thecontext of Linear Algebra.
Presentation
ON THE ADMISSIBILITY OF NILPOTENT ORBITS OF SIMPLE EXCEPTIONAL REAL LIE GROUPS OF INNER TYPE
ON THE ADMISSIBILITY OF NILPOTENT ORBITS OF SIMPLE EXCEPTIONAL REAL LIE GROUPS OF INNER TYPE. This is the content of a talk given at an AMS Sectional Meeting held at University of South Carolina Columbia on March 16-18, 2001, Special Session on Algebraic Structures Associated with Lie Theory, III.

Alfred Noel

Background

Interests

News Items

MLK Visiting Professors welcomed

Sample Work

Publication

Classification of Admissible Nilpotent Orbits in Simple Exceptional Lie Algebras of Type E6(6) and E6(-26)

Publication

Classification of Admissible Nilpotent Orbits in Simple Exceptional Lie Algebras of Inner Type

Publication

Component Groups of Centralizers of Nilpotents in Symmetric Space

Publication

Nilpotent Orbits and Theta-stable Parabolic Subalgebras

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