Homepage of Christian Lomp

Curriculum Vitae

Positions

Degrees

2019-now

Associate Professor, Universidade do Porto

2002-2019

Professor Auxiliar, Universidade do Porto

1998-2002

Assistent, Universidade do Porto

1997-1998

Teaching Assistant, University of Wisconsin-Milwaukee

1995

Tutor, University of Glasgow

1994+1995

Software Developer, Scientific Center IBM, Heidelberg

1993-1995

Grader, Universität Düsseldorf + Fernuni-Hagen

1991

Programmer, CoCoNet Düsseldorf

1989-1990

Zivildienst, Sozialamt Düsseldorf

2019

Diplom Informatik, Fernuni-Hagen, grade: “mit Auszeichnung”,
Thesis: Untere Schranken für das Erkundungsproblem

2011

Agregação (Habilitation), Universidade do Porto

2002

PhD Mathematics (Dr.Rer-Nat), Universität Düsseldorf, grade: “magna cum laude”,
Thesis: Primeigenschaften von Algebren in Modulkategorien über Hopfalgebren

1997

Master of Science, University of Glasgow, Thesis: On dual Goldie dimension

1997

Diplom Mathematik, Universität Düsseldorf, grade: “mit Auszeichnung”

1989

Abitur, Mataré-Gymnasium Meerbusch

Publications

You can find a complete list of my publication on arXiv or Zentralblatt. Here is a selection:

Locally finite representations over Noetherian Hopf algebras.
Hatipoğlu, Can; Lomp, Christian, Proceedings of the American Mathematical Society 150, No. 5, 1903-1923 (2022), arXiv

Panov's theorem for weak Hopf algebras
A.Sant'Ana, Alveri, Lomp, Christian and Leite dos Santos, Ricardo, Contemp. Math. AMS (2019)

Differential smoothness of skew polynomial rings
Brzeziński, Tomasz and Lomp, Christian, Journal of Pure and Applied Algebra 222(9) (2018) 2413-2426, arXiv

Ring theoretical properties of affine cellular algebras
Carvalho, Paula AAB, Koenig, Steffen, Lomp, Christian and Shalile, Armin, Journal of Algebra 476 (2017) 494-518, arXiv

Injective hulls of simple modules over differential operator rings
Paula Carvalho, Paula, Hatipoglu, Can and Lomp, Christian, Communications in Algebra 43 (2015), 4221-4230 arXiv

Integral Calculus on Quantum Exterior Algebras
Karaçuha, Serkan and Lomp, Christian, Int. J. Geom. Methods Mod. Phys. 11, 1450026 (2014), arXiv

Injective hulls of simple modules over finite dimensional nilpotent complex Lie superalgebras
Hatipoglu, Can and Lomp, Christian, Journal of Algebra, Volume 361 (2012), 79-91

Fleury's spanning dimension and chain conditions on non-essential elements in modular lattices
Lomp, Christian and Özcan, Ayse Cigdem, Colloquium Mathematicum 124 (2011), 133-144

Non-commutative integral forms and twisted multi-derivations
Brzezinski, Tomasz, El Kaoutit, Laiachi and Lomp, Christian, Journal of Noncommutative Geometry 4(2) 281-312 (2010)

All hereditary torsion theories are differential.
Lomp, Christian and van den Berg, John, Journal of pure and applied Algebra 213 (2009), 476-478

Duality for partial group actions
Lomp, Christian, International Electronic Journal of Algebra 4 53-62 (2008)

Chain and Distributive Coalgebras
Lomp, Christian and Sant'Ana, Alveri, Journal of Pure and Applied Algebra, 211(3), 581-595 (2007)

Lifting modules - Supplements and Projectivity in Module Theory
Clark, John, Lomp, Christian, N.Vanaja and Wisbauer, Robert, Frontiers in Mathematics, Birkhäuser (2006)

A central closure construction for certain extensions. Applications to Hopf actions
Lomp, Christian, Journal of Pure and applied Algebra, 198 (1-3), 297-316 (2005)

Prime elements in partially ordered groupoids applied to modules and Hopf algebra actions.
Lomp, Christian, Journal of Algebra and its Applications, 4(1), 77-98 (2005)

Integrals in Hopf algebras over rings
Lomp, Christian, Communications in Algebra, 32(12), 4687-4711 (2004)

When is a smash product semiprime? A partial answer
Lomp, Christian, Journal of Algebra 275(1), 339-355 (2004)

Semilocal modules and rings
Lomp, Christian, Communications in Algebra 27(4), 1921-1935 (1999)

Teaching

Modules for which I was responsible at the University of Porto since 2002.

M1026 Linear Algebra and Analytic Geometry 2, BSc Math.
M3015 Number Theory and its applications, BSc Math.
M3001 Applied Abstract Algebra, BSc Math.
M3010 Computational Mathematics (Gröbner Bases), BSc Math.
M341 Galois Theory, BSc Math.
M342 Computer Algebra, BSc Math.
M442 Rings and Modules, MSc Math.
M4075 Algebra , MSc Math.
M4029 Commutative Algebra, MSc Math.
M4081 Algebraic Coding Theory, MSc Math.
M561 Noncommutative Algebra, PhD Math.
M558 Quantum groups, PhD Math.
Introduction to abstract Algebra, BSc Math.
Linear Algebra II, BSc Comp. Science
Information- and Coding Theory,BSc Math.
M191 Mathematics I, BSc Comp. Science
Analysis I, BSc Comp. Science
Calculus II, BSc Comp. Science
Computers in the classroom, BSc Math.

Lectures held at other universities.

Intermediate Algebra, Universität Wisconsin-Milwaukee, 1997-1998
Exercises for linear algebra II (for Prof. Wisbauer), Düsseldorf, 1997
Tutorials in Maths for Engeneering students, University Glasgow, 1995/96

Mini-courses

Lectures on Rings, Modules and Algebras (6 hours), IYTE, Turkey (2022)
Introduction to affine cellular algberas (4 hours), Southwest Jiaotong University, Chengdu, China (2017)
Hopf Ore Extensions (8 hours), UFRGS, Porto Alegre, Brazil (2014)
Introduction to Hopf algebra actions (4 hours), University of Warsaw, Poland (2010)
Separable Algebras (6 hours), Dokuz Elyul University, Izmir, Turkey (2008)
Partial entwining structures (6 hours), UFRGS, Porto Alegre, Brazil (2006)

Supervision

Doctoral students

Ricardo Leite dos Santos, "Extensões de Ore e Álgebras de Hopf Fracas" (co-supervision with Alveri Sant'Ana, UFRGS), 2014-2017
Deividi Pansera, ”On semisimple Hopf actions”, 2014-2017
Serkan Karacuha, ”Aspects of Non-commutative Differential Geometry”, 2011-2015
Can Hatipoglu, ”Injective Hulls of simple modules over some Noetherian rings.”, 2010-2013
Marcin Szamotulski, ”Galois Theory for H-extensions”, (co-supervision with Roger Picken from IST), 2011-2013
Inês Borges, ”Actions of weak Hopf algebras”, 2005-2011

Master students

Francisco de Amorim Crista Tavares Barbosa, "Matlis Theory for non-commutative rings" (co-supervised with Paula Carvalho), 2024/2025
Patrícia Reis dos Reis, "Teorema de Extensão de MacWilliams", 2017/2018
Gjermund Johansen, "Primitivity of Skew Polynomial Rings", 2017/2018
Manuel Martins, ”Hopf Algebras and Ore Extensions” (co-supervised with Paula Carvalho), 2015/2016
Miguel Ângelo Couto ”Anéis primitivos e Teorema da Densidade” (Mestrado em Matemárica), 2012/2013
Orlando Sá Couto ”Isometrias em Teoria de Códigos” (Mestrado em Matemática para Professores), 2009/2010
Bruno Jesus ”Limites de códigos” (Mestrado em Engenharia de Matemática), 2005/2006
Sandra Mónica, Curvas Algébricas e Códigos Geométricos (Mestrado em Ensino de Matemática), 2004/2005
Dora Araújo “Um teorema com o Tangram” (Mestrado em Ensino de Matemática), 2003-2005

Students in other programs

Program Novos Talentos em Matemática, Fundação Calouste Gulbenkian
- Rafael Salles Moreira, "Rings with the finite zero property", 2023/2024 (together with P. Carvalho)
- Maria Ana Barbosa, "Zero-Divisor Problem in group rings", 2018/19 (together with P. Carvalho)
- Manuel Martins, “Rational equivalence of the quantum plane”, 2013/14 (together with P. Carvalho)
- Artur Amorim, “Characterisation of nilpotent Lie algebras”, 2010/11
- Sérgio Dias, “Van der Waerden numbers and Ramsey theory”, 2007/2008
- Lara Lacerda, “Neural networks”, Program “Novos Talentos em Matemática”, 2003/2004
João Pedro Cunha, high-school student of the program SigMa temático, 2006/2007
Jorge Vitoria, “Plano quântico e o seus simetrias”, research initiation program “Bolsas de iniciação científica”, 2004/2005 (together with P. Carvalho)

Postdoctoral Researcher

Zahra Nazemian, Yazd (Iran), 2016/2017
Tuğba Güroğlu, Celal Bayar University (Turkey), 2012
Engin Büyükaşık, Izimir Institute of Technology (Turkey), 2007
Alveri Sant’Ana, Universidade Federal do Rio Grande do Sul (Brazil), 2006/2007
Vigínia Rodrigues, Universidade Federal de Santa Clara (Brazil), 2005/2006

Contact

For further information, please contact Christian Lomp.

About me