CURRICULUM
VITAE
Alfred
Gérard Noël
The University of Massachusetts
Boston, Department of Mathematics
Science Building, Floor 03, Room
00175
100 Morrissey Boulevard Boston, MA
02125-3393
e-mail: anoel@math.umb.edu Phone: (617) 287-6458
Fax: (617) 287-6433
EDUCATION
1993 - 1997: Ph. D. Pure Mathematics,
Northeastern University, Boston, MA.
"Nilpotent
Orbits and Theta-Stable Parabolic Subalgebras"
directed by Donald R. King
1984 - 1986: M.Sc. Applied Mathematics,
Northeastern University, Boston, MA.
Fields:
Combinatorics & Computer science.
1983 - 1984: Undergraduate Courses in Computer
science, Northeastern University, Boston, MA.
1983 - 1983: Programmer Certificate Control
Data Institute, Burlington, MA.
Completed
seven months of training in Cobol Programming and System Analysis.
1980 - 1982: Mathematics High School Teacher
certificate, Institut Pédagogique
National, Port-au-Prince, Haiti
1977 - 1980: B.E.T. Electrical Engineering,
Centre Pilote de Formation Technique, Port-au-Prince,
Haiti
1975 - 1976: Baccalauréat
II, Collège Roger Anglade, Port-au-Prince, Haiti
EMPLOYMENT
2010 -: Professor of Mathematics, University of
Massachusetts Boston, MA.
2005 – 2010: Associate Professor of Mathematics,
University of Massachusetts Boston, MA.
2/06 – 8/07 : Visiting Scholar, Department of Mathematics, Massachusetts
Institute of Technology, Cambridge, MA.
2006 – : Member of the international group
working on the Atlas of Lie Groups and Representations project.
2006 – Spring: Visiting Scholar, Department of
Mathematics, Harvard University, Cambridge, MA.
2006 – January: Professeur Invité, Département de Mathématique, Université de Poitiers , Poitiers
France.
1998 - 2005: Assistant Professor of
Mathematics, University of Massachusetts Boston, MA.
Courses
taught include: Advanced Data Structures & Algorithms, Calculus, Linear
Algebra, Mathematical Analysis, Complex Analysis, Vector Calculus, Abstract Algebra,
Differential Equations, Probability and Statistics, Graduate Analysis for
secondary school teachers.
Research
areas: Lie Theory, Representation Theory, Nilpotent
Orbits.
2003 - Summer: Visiting Scholar, Department of
Mathematics, Massachusetts Institute of Technology, Cambridge,
MA.
2003 - January: Professeur
Invité, Département de Mathématique, Université de Poitiers , Poitiers France.
2002 - Summer: Visiting Scholar, Department of
Mathematics, Massachusetts Institute of Technology, Cambridge,
MA.
2000 - 2001: Martin Luther King Visiting
Assistant Professor of Mathematics, Massachusetts Institute of Technology,
Cambridge, MA.
Taught
Linear Algebra and did research on admissible nilpotent orbits of real Lie
groups.
1997-1998: Senior Engineer: Peritus Software Services, Billerica, MA.
Developed
algorithms to support Year 2000 renovation engineers. Conducted research in
Program Understanding using Dijkstra's Weakest
Precondition theory.
1984-1998: Lecturer in Mathematics and
Computer Science, Northeastern University.
Courses
taught include: Algorithms & Data Structures using Pascal and/or C,
Numerical Analysis using Fortran, Pascal, C, MATLAB and Mathematica,
Calculus, Differential Equations, Probability & Statistics, Linear Algebra.
1993-1996: Supervisor of Cooperative Learning
in Math excel at Northeastern University.
Conducted
special mathematical workshops for under-represented Engineering Freshmen.
1986-1987: Adjunct-Lecturer in Statistics,
Roxbury Community College, Boston, MA.
1987-1994: Software Engineer ( Senior 1990 ), Computervision,
Bedford, MA.
Designed and implemented modules for
curve, surface, and solid modeling.
Programmed complicated mathematical algorithms and User Interface in C under
Unix. Broad knowledge of the mathematics of Bézier & Splines curves and surfaces and formal
semantics of programming languages. Excellent command
of C and Unix.
1979 -1982: High School Mathematics
Teacher, Port-au-Prince, Haiti
PUBLICATIONS
Refereed Papers:
Nilpotent
Orbits Attached to Coxeter Cells with Steven Glenn
Jackson (Submitted) 2009.
A new approach for computing
generators for U(g)^K with
Steven Glenn Jackson Journal of
Algebra Volume 332 (2607-2620), 2009.
Maximal
Tori of Reductive Centralizers of Nilpotents in
Exceptional Complex Symmetric Spaces, American
Mathematical Society Contemporary Mathematics, Volume 467, (103 – 139),
2008.
The Atlas of Lie Groups and
Representations: Scope and Successes,
American Mathematical Society Contemporary Mathematics, Volume 467, (85 –
101), 2008.
Prehomogeneous
spaces associated with real nilpotent orbits, with Steven Glenn Jackson Journal
of Algebra Volume 305, Issue 1, (194-269) 2006.
Prehomogeneous
spaces associated with nilpotent orbits in simple real Lie algebras E6(6) and E6(-26) and their relative invariants, with Steven Glenn Jackson
Experimental Mathematics Volume 15, Issue 4, (455-469) 2006.
A general computational scheme for
testing admissibility of nilpotent orbits of real Lie groups of inner type. Lecture Notes in Computer Science,
Springer-Verlag Vol 4151, (1—11), 2006.
Polarizable theta-stable parabolic subalgebras and $K_C$-saturation in the non-compact real
forms of $G_2$ and $F_4$,
with Steven Glenn Jackson. Lecture Notes in Computer Science, Springer-Verlag Vol 3992, (422—429), 2006.
Some remarks on Richardson orbits in
complex symmetric spaces.
American Mathematical Society Journal of Mathematics of
Computations Volume 75, (395-417) 2006.
A LiE
subroutine for computing prehomogeneous spaces
associated with nilpotent Complex Orbits Co-authors Steven Glenn Jackson and Alfred G. Noël Lecture
Notes in Computer Science, Springer-Verlag Vol 3516, (611—618), 2005.
A LiE
subroutine for computing prehomogeneous spaces
associated to real nilpotent orbits Co-authors
Steven Glenn Jackson and Alfred G. Noël Lecture Notes in Computer Science,
Springer-Verlag Vol 3482, (512—521), 2005.
Prehomogeneous
spaces associated to complex nilpotent orbits Co-authors Steven Glenn Jackson and
Alfred G. Noël Journal of Algebra
Volume 289, Issue 2, (515-557) 2005.
Computing theta-stable parabolic subalgebras using LiE. Lecture Notes in Computer Science,
Springer-Verlag Vol 3039,
(335- 342) , 2004
Computing maximal tori using LiE and Mathematica. Lectures Notes in
Computer Science, Springer-Verlag. Vol 2657
(728-736), 2003.
Classification of Admissible
Nilpotent Orbits in Simple Exceptional Lie Algebras of Type E6(6)
and E6(-26).
American Mathematical Society Journal of Representation Theory, Vol 5 (494-502) 2001
Classification
of Admissible Nilpotent Orbits in Simple Exceptional Real Lie Algebras of Inner
Type. American Mathematical Society
Journal of Representation Theory, Vol 5 (455-493)
2001.
Component
Groups of Centralizers of Nilpotents in Symmetric
Spaces. Co-authors Alfred Noël and Donald R.
King . Journal of Algebra
Vol 232 (94-125)
2000.
Nilpotent Orbits and Theta-stable
Parabolic Subalgebras. American Mathematical Society
Journal of Representation Theory Vol 2 (1-32) 1998.
Classification
of Nilpotent Orbits in Symmetric Spaces. Proceedings of the American Mathematical
Society DIMACS African American in Math. Vol 34 (123-127) 1997.
Progress and Process in Math Excel
at Northeastern University: Co-authors Maurice P. Gilmore, Alfred Noël and Thomas P.
Stephens, Jr. The Center for Innovation in Urban Education Studies, Volume II,
1996 edited by J. Frazer, Northeastern University.
Memoirs and Books:
Council for African American
Researchers in the Mathematical Sciences: Volume V. Thirteenth Conference for
African American Researchers in the Mathematical Sciences, June 19-22, 2007,
Northeastern University and the University of Massachusetts Boston. Alfred G. Noël, Donald R. King,
Gaston M. N’Guérékata, Edray
H. Goins
Editors. American Mathematical Society
Contemporary Mathematics, Volume 467. 2008.
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.
Ph.D. Thesis, Northeastern University, March
1997.
Conference Proceedings:
A
canonical basis for maximal tori of the reductive
centralizer of a nilpotent element. Proceedings of
the NATO Advanced Study Institute Computational Noncommutative Algebra and Applications July 6--19,
2003 Il Ciocco Resort Hotel, Italy.
Edited by Jim Byrnes, Nato
Science Series II. Mathematics, Physics and Chemistry –
Vol. 136.
A short note on nilpotent
orbits associated to Coxeter cells. Co-authors
Steven Glenn Jackson and Alfred G. Noël. ACM Communications in Computer
Algebra, Issue 168, Volume 43, No. 2, (52-53), June 2009.
Work in Progress:
Associating elliptic Pseudo-Levi subalgebras to nilpotent conjuagcy
classes in the classical simple real Lie algebras. ( Unfinished
Manuscript )
National
Science Foundation “NSF/CBMS Regional
Conference in the Mathematical Sciences - Unitary Representations of Reductive
Groups” with principal lecturer David Vogan [1/2012
– 12/2012] PI $42,158.00
Atlas
of Lie Groups and Representations National Science Foundation grant number DMS
0554278: Partially supported since 2006-2010
Outstanding
Achievement Award for Research and Scholarship for 2003-2004 and 2004-2005
academic years University of Massachusetts Boston College of Science and
Mathematics.
National
Science Foundation Research Opportunity Award [7/ 2003 – 7/2004 ] Massachusetts Institute of Technology (With David Vogan) $45, 453.00.
National Science Foundation Research
Opportunity Award [3/2002 - 3/2003] Massachusetts Institute of Technology (With
David Vogan) $46, 000.00.
Martin Luther King Visiting
Professorship [9/2000 - 6/2001] Massachusetts Institute of Technology
$66,000.00.
National
Science Foundation Research Travel Grant to attend Conference on Mathematical
Challenges for the Next Century, Los Angeles[2000]
$1,000.00.
University
of Massachusetts Boston Proposal Development Award: [ 7/99-7/00
] $4,000.00.
National
Science Foundation Research Travel Grant to attend Summer Institute on
Representation of Lie Groups in Park City Utah. [1998] ( Full
coverage ).
Northeastern University travel
stipend to attend a Summer Institute on Lie groups and Quantum Groups, Banff
Canada [1994] $1,500.00.
GRANT REVIEWS
In
Fall 1999 and in Spring 2000, I was a reviewer of
internal proposals developed by faculty members of the College of Arts of
Sciences at the University of Massachusetts Boston.
INVITED LECTURES
Invariant Theory of
the Enveloping Algebra. Colloquium Howard University, Washington
DC, March 9, 2012.
Molien Series and a Recent Theorem of Kostant. Worldwide Center
of Mathematics, Cambridge Massachusetts February 24, 2012.
Variations on a Recent Theorem of Kostant.
Workshop “Topics in the Theory of Weyl Groups and Root Systems” in honor of Professor Jiro Sekiguchi on his 60th
birthday Graduate School of Math. Sciences, University of
Tokyo, Japan 2011/09/20 - 2011/09/22.
The Exceptional Lie Group E8, the Unitary Question,
and the Standard Model. CAARMS 16 (Conference for African-American Researchers in the
Mathematical Sciences) Mt. Washington Conference Center Johns Hopkins
University Baltimore, MD June 15-18, 2010.
Algorithmic
Approaches to the Unitary Dual, CUNY Graduate Center
Representation Theory Seminar, New York, May 14, 2010.
Computational
Aspects of the Unitary questions,
Physics Department Seminar Series University of Massachusetts Boston, March 31,
2010.
The Orbit Method: An insight from Physics, Mathematics Department Colloquium Medgar Evers College Brooklyn New York, December
2, 2009
Invariant
Theory of the Enveloping Algebra. AMS 2009 Spring Southeastern Section Meeting. Special Session on Algebraic Groups and Symmetric Spaces,
Raleigh, NC, April 4-5, 2009.
Algorithmic and Theoretical Considerations for Computing
Generators of the Centralizer of K in U( g). Number Theory Seminar, Purdue University,
West Lafayette, IN. Thursday March 12, 2009.
Nilpotent Orbits Attached to Coxeter
Cells, American Mathematical Society
Joint Meeting, Washington DC, January 5 – 8, 2009.
A new approach for computing generators for U(g)^K , American
Mathematical Society Joint Meeting, San Diego, CA January 6 – 9, 2008.
Bala-Carter type
classification of nilpotent orbits of real Lie groups: Workshop on ATLAS OF LIE GROUPS V July 16, 2007 - July 20,
2007, American Institute of Mathematics, Palo Alto CA.
The Atlas of Lie groups and representations:
Character Table, Cohomology and representation theory for finite groups of
Lie type, American Institute of Mathematics, Palo Alto, CA June 25-29, 2007.
The Atlas of Lie groups and representations:
scope and successes, CAARMS13, Boston, MA June 19-22 2007.
Software for Computing Standard Representations II, Atlas of Lie Groups and Representations Winter Meeting, MIT
Cambridge MA March19 – March 23, 2007.
Software for Computing Standard Representations I, Atlas of Lie Groups and Representations Winter Meeting, MIT
Cambridge MA March19 – March 23, 2007.
Structure and Representations of Real Reductive Lie Groups:
A Computational Approach. Interactive
Parallel Computation in Support of Research in Algebra, Geometry and Number
Theory, Mathematical Sciences Research Institute in Berkeley, CA January 29
– February 2, 2007.
Classification
of a large class of prehomogeneous spaces and
description of their relative invariants. Morgan State University Department of
Mathematics Colloquium November 30 2006 Baltimore MD.
Bala-Carter
Classification and Vinberg Prehomogeneous
Spaces. University of Maryland
College Park MD November 29, 2006.
A general computational scheme for testing admissibility of
nilpotent orbits of real Lie groups of inner type. Second International Congress on
Mathematical Software ICMS'2006, September 1-3 2006, Castro Urdiales
Spain.
Prehomogeneous spaces
associated to graded reductive Lie algebras and their relative invariants. International Congress of
Mathematicians, August 22 - 30, 2006, Madrid Spain.
Espaces préhomogènes associés aux orbites nilpotentes des groupes de Lie réductifs, Séminaire Théorie
de Lie et Applications Université
de Poitiers, France Jeudi 26 Janvier
2006.
Une
application élémentaire d’un théorème
de Tauvel,
GEGAL Université de Poitiers, France Jeudi 19 Janvier 2006.
A LiE subroutine for computing prehomogeneous spaces associated to real nilpotent orbits International Conference on Computational Science and its
Applications (ICCSA 2005) May 9 - 12, 2005 Suntec,
Singapore, Singapore.
Some Remarks on the Theory of Nilpotent Orbits and Prehomogeneous Spaces,
Stonehill College, Easton Massachusetts, January 31,
2005
Richardson Orbits AMS
Session on Manifolds and Topology, AMS Joint Mathematical Meeting January 5- 8,
2005 Atlanta Georgia.
Prehomogeneous
Spaces Associated with Nilpotent Orbits of Complex Lie Groups AMS Special Session on Representations of Lie
Algebras AMS Joint Mathematical Meeting January 5- 8, 2005
Atlanta Georgia.
Richardson Orbits for Real Semisimple
Lie Groups Conference on Nilpotent Orbits and Representation Theory, 2004 Fuji-Zakura So, Japan
September 5-10 2004.
Computing theta-stable parabolic subalgebras
using LiE, International
Conference in Computational Science, Krakow, Poland, June 6-9, 2004, Workshop on Computer Algebra Systems.
Quantization in Physics and Mathematics, Science Colloquium Hour The University of Massachusetts
Boston April 9, 2004.
Computing maximal tori using LiE
and Mathematica, International Conference in Computational Science, St.
Petersburg, Russia June 2-4, 2003, Workshop on Computer Algebra Systems.
An algorithm for computing maximal tori of centralizers of nilpotents in symmetric spaces associated with non compact
simple exceptional real Lie algebras, AMS
Joint Mathematics Meeting, Baltimore, MD January 15-18, 2003, Special Session
on Algebras, Actions, and Algorithms.
Sur certains tores
du centralisateur réductif
d'un nilpotent élément, Université de Poitiers, France, 9
Janvier, 2003, Séminaire en
Théorie des Groupes de Lie,
Département de Mathématiques.
Maximal Tori of Reductive Centralizers of Nilpotents in Exceptional Complex Symmetric Spaces, Ottawa Canada Canadian Mathematical Society Winter 2002
Meeting December 8 -10, 2002, Special Session in Representation Theory of Real
and p-adic Groups.
Some
Applications of the Kostant-Sekiguchi Correspondence. International Congress of Mathematicians, Beijing, China, August
20-28, 2002 Session on Lie Groups and Representation Theory.
Admissibility
of Nilpotent Orbits in Simple Exceptional Real Lie Groups. AMS Joint Winter Mathematics Meeting San Diego, CA January 6-9, 2002
Special Session on Algebras, Forms, and Algebraic Groups.
On The admissibility of Nilpotent Orbits in Simple Exceptional Real Lie Algebras of Inner Type. AMS Sectional Meeting held at University of South Carolina Columbia on March 16-18, 2001, Special Session on Algebraic Structures Associated with Lie Theory.
Component
Groups of Centralizers of Nilpotents in Symmetric
Spaces. Fifth Conference for African American Researchers in the Mathematical
Sciences. University of
Michigan at Ann Arbor, June 1999
Centralizers
of Nilpotents and The Bala-Carter
Classification. Northeastern University Geometry Algebra Singularities and Combinatorics Seminar, June 1999
Nilpotent Orbits and Theta-Stable Parabolic Subalgebras. National Association of Mathematicians Granville-Brown Session.
AMS Joint Winter Mathematics Meetings Baltimore, Maryland January 1998
Classification
of Nilpotent Orbits in Symmetric Spaces. Northeastern University Algebra/Geometry Seminar, November
1995.
SESSIONS/CONFERENCES CHAIRED
National Science Foundation NSF/CBMS Regional
Conference in the Mathematical Sciences - Unitary Representations of Reductive
Groups University of Massachusetts Boston July 16-20, 2012.
Organizer: Alfred
G. Noël, University of Massachusetts, Boston
Organizers:
Donald R. King, Northeastern University and Alfred G. Noël, University of
Massachusetts, Boston
13th Conference for African American Researchers in
Mathematical Sciences, Northeastern
University and University of Massachusetts Boston, Boston, MA, June 19-22, 2007
Organizers:
Donald R. King, Northeastern University William A. Massey, Princeton University
and Alfred G. Noël, University of Massachusetts, Boston
Special Session on Recent
Developments in the Orbit Method for Real and P-adic Groups (Code: AMS SS F1) 2002 Fall
Eastern Section Meeting, Boston, MA, October 5-6, 2002 Northeastern University .
Organizers:
Donald R. King, Northeastern University and Alfred G. Noël, University of
Massachusetts, Boston
OTHER IMPORTANT CONFERENCES ATTENDED
Representation Theory and Mathematical Physics Conference in honor
of Gregg Zuckerman’s 60th birthday, Yale University, October 24-27,
2009.
Workshop on ATLAS OF LIE GROUPS July 2007, July 2008, American Institute of
Mathematics, Palo Alto CA.
Workshop on ATLAS OF LIE GROUPS
March 2008, University of Maryland College Park.
Lie Theory and Geometry: The Mathematical Legacy of Bertram Kostant May 19-24 2008 Pacific
Institute of Mathematical Sciences, Vancouver, Canada.
Workshop
on ATLAS OF LIE GROUPS IV July 10, 2006 - July 14, 2006 ,
American Institute of Mathematics, Palo Alto CA
Affine Hecke
Algebras, Centre International de Rencontres Mathématiques June 19 – June 26 2006, Marseille,
France.
Representation
Theory of Real Reductive Lie Groups a
conference celebrating the birthdays of Bill Casselman
and Dragan Milicic June 4
to June 8, 2006 at the Snowbird Mountain Resort, Utah.
Annual Joint Meetings of the
American Mathematical Society.
1998, 1999, 2000, 2001, 2002, 2003, 2005, 2008, 2009
Conference for African American
Researchers in the Mathematical Sciences. 1996, 1997, 1999, 2000, 2001, 2002.
2003
NATO Advanced Study Institute Computational Noncommutative
Algebra and Applications July 6 - 19, 2003 Il Ciocco Resort
Hotel, Italy.
(American
Mathematical Society ) - (Mathematicians in Education
Reform) Workshop, November 7 - 10, 2002 Louisiana State University, Baton Rouge
Louisiana.
Computational Lie Theory. May 27 - June 7,
2002 Montréal, Québec, Canada.
Representation Theory of Algebraic
Groups ands Quantum Groups, August 1 - 10, 2001 Tokyo, Japan.
La
Méthode des Orbites en Géométrie et en Physique. December 4-8, 2000 Marseille, France.
Conference on Mathematical
Challenges for the Next Century, August 2000, Los Angeles.
Bridges
in Undergraduate Education: Connecting Mathematics and Partner Disciplines,
United States Military Academy, West Point, New York, June 16 – 18, 2000.
Summer Institute on Representation
of Lie groups July 1998, Park City, Utah.
Microsurveys in Discrete Probability: June 2 -
6, 1997 Institute for Advanced Study, Princeton, New Jersey.
Summer
Institute on Lie groups and Quantum groups, Summer
1994, Banff Canada.
SYNERGISTIC ACTIVITIES
Since
1996, I have organized a seminar series for the Haitian Scientific Society
whose membership consists mainly of engineers. The talks cover a wide range of
topics.
From
Spring 2002 to Spring 2010, I have organized the Mathematics Department
seminars. (See http://www.math.umb.edu/research/seminars)
DISSERTATION COMMITTEES
Pramod Achar Ph.
D. thesis committee, Massachusetts Institute of Technology (June 2001) Advisor:
David Vogan.
Richard
Butterworth Ph. D. thesis committee, University of Massachusetts Boston (June
2006) Advisor: Dan A. Simovici.
Selim Mimaroglu
Ph. D. thesis committee, University of Massachusetts Boston (October 2008)
Advisor: Dan A. Simovici.
Hiroshi
Wada Ph. D. thesis committee, University of Massachusetts Boston (November
2009) Advisor: Jun Suzuki
Chonho Lee Ph. D. thesis committee,
University of Massachusetts Boston (March 2010) Advisor: Jun Suzuki
Paskorn Champrasert
Ph. D. thesis committee, University of Massachusetts Boston (July 2011)
Advisor: Jun Suzuki
PROFESSIONAL SOCIETIES
American
Mathematical Society ( Member, Reviewer )
National
Association of Mathematicians ( Member )
Haitian
Scientific Society ( Founding Member )
FOREIGN LANGUAGES
French ( speak, read, write fluently )
Haitian Creole ( speak
fluently, read and write moderately )
German ( read and write moderately )
Spanish ( read and
write moderately )
Latin ( read and
write moderately )