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: Special student 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

2005 – Present: Associate Professor of Mathematics, University of Massachusetts Boston, MA.

2/06 – 8/07 : Visiting Scholar, Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA.

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) 2008.

A new approach for computing generators for U(g)^K with Steven Glenn Jackson (Submitted) 2008.

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, Isuue 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.

Work in Progress:

Associating elliptic Pseudo-Levi subalgebras to nilpotent conjuagcy classes in the classical simple real Lie algebras. ( Unfinished Manuscript ) 

AWARDS & GRANTS

Atlas of Lie Groups and Representations National Science Foundation grant number DMS 0554278: Partially supported since 2006 -

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

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

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

Lie Theory and Geometry: The Mathematical Legacy of Bertram Kostant May 19-24 2008Pacific 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 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

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. Also I taught a course in higher algebra to a group of members who have decided to become high school teachers. We also act as mentors to high-school students. (See http://www.math.umb.edu/hss)

Since 2002, I have organized the Mathematics Department seminars. (See http://www.math.umb.edu/research/seminars)

For the last few years, I have been developing some new procedures that could be incorporated into the computer language called LiE. This work will take some time to mature. Since I have a strong background in computer science I am sure that in a few years I will turn these procedures into a set of tools for researchers in the field of representation theory.

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. 

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 )