Paula Alexandra de Almeida Bastos Carvalho Lomp

Degrees:

1. PhD in Mathematics, University of Glasgow (1997):

   Thesis advisor: Kenneth Brown

   Thesis: “On the prime spectra of some noetherian rings” (PDF )

2. MSc in Mathematics, University of Lisbon (1994):

   Thesis: “Anéis Noetherianos não commutativos-Extensões de Ore e Anéis de Fracções”

3. Licenciatura in Mathematics, University of Lisbon (1991)

Positions and grants:

1. Professor Auxiliar, Universidade do Porto (Portugal), 1998-Present

2. Pos-doc grant da JNICT-PRAXIS XXI, University of Wisconsin-Milwaukee, 1997-1998

3. PhD grant da JNICT-PRAXIS XXI, University of Glasgow, 1993-1997

4. MSc grant da JNICT-Programa Ciência, Universidade de Lisboa, 1991-1993

Research interest: Algebra, non-commutative Noetherian rings, Representation theory of down-up algebras and related algebras, Automorphism groups.

Publications:

1. “Injective Modules over Down-Up algebras ” (with C.Lomp and D.Pusat-Yilmaz), to appear in Glasgow Math. Journal

2. “Double Ore Extensions versus Iterated Ore Extensions” (with S.Lopes and J.Matczuk) to appear in Comm. Alg.

3. “Partial Skew Group Rings over Polycyclic by finite groups” (with W. Cortes and M. Ferrero) to appear in Algebras and Representation Theory

4. “Automorphisms of generalized down-up algebras” (with S.Lopes) Comm. Algebra 37 (2009), no. 5, 1622--1646.

5. “On the Azumaya Locus of Some Crossed products”, Comm. Algebra 33 (2005),51-72.

6. “Down-up Algebras and their representation theory” (with Ian Musson), Journal of Algebra 228 (2000), no 1, 286-310.

7. “Prime Links in some skew-polynomial and skew-Laurent rings” Comm. in Algebra 25 (1997), no.5, 1443-1470.

Pre-Publications

1. “Monolithic modules over Noetherian Rings” (with I.Musson); preprint

International Cooperations:

1. 2007-2008 Project “Rings with additional structures”,GRICES/Ministry of Science and Higher Education of Poland, University of Warsaw, Poland.

2. 2005-2006 Project “Interactions of Algebras and Coalgebras”, GRICES/CAPES, Universidade Federal do Rio Grande do Sul and Universidade de São Paulo (Brazil). Coordinator of the project.

3. 2003-2004 Project “Homology and Cohomology of Down-Up algebras”, GRICES/SECyT, Universidade de Buenos Aires (Argentina). Coordinator of the project.

4. 2001-2002 Project “Hopf algebras and their applications to group gradings and group actions.”, ICCTI/DAAD, Heinrich Heine Universitat Dsseldorf (Germany). Coordinator of the project.

Short visits :

1. Departamento de Matemáica da Faculdade de Ciências exactas da Universidade de Buenos Aires, 21-28 November 2005.

2. Universidade Federal do Rio Grando do Sul, Brasil, 13-20 November 2005.

3. Universidade de São Paulo, Brasil, 8-12 November 2005.

4. Abdus Salam International Centre for Theoretical Phisics, Trieste, Italy, 21-28 February 2005.

5. Departamento de Matemática da Faculdade de Ciências exactas da Universidade de Buenos Aires, December 2004.

Students:

Jaime Augusto Silva, supersion of project on Grobner Basis (Student with a grant “Novos Talentos em Matemática” from Gulbenkian), 2006/2007.

Gabriela Alexandra da Cruz Barreiros, MSc thesis “Acções de grupos”, 2004-2006.

Jorge Vitória, co-supersion of project (Student with a research grant from CMUP), October 2004 to March 2005.

Inês Margarida Rodrigues Pais da Silva Borges, MSc thesis “Extensões de anéis e co-anéis”, 2003-2004.

Ana Cristina Azevedo Machado Oliveira, MSc thesis “Localização em Anéis Noetherianos não comutativos e aplicações aos anéis graduados”, 2000-2001.

Affiliation:

Member of the London Mathematical Society and Centro de Matemática da Universidade do Porto.

Some nice photos: