
I have a PhD in mathematics from University of Nice, France with a grant from CNRS-Lebanon. I was a postdoc at Linköping University with a grant from Wenner Gren Foundations.
Nancy Abdallah
I am a senior lecturer in mathematics at Chalmers University of Technology, Gothenburg, Sweden.
My research interests are in commutative algebra, algebraic geometry, algebraic combinatorics, and the interactions between them. My current research is focused on classification of Artin Gorenstein algebras, Weak and Strong Lefschetz properties and Jordan type decompositions.
A list of workshops about the Lefschetz properties can be found here.
Upcoming Activities
- Organizing “The Weak and Strong Lefschetz Properties Across Mathematics“, Ischia, Italy, October 18-23, 2026.
- Organizing Algebra and Friends, Uppsala University, 30 November 2026.
- Organizing “The Weak and Strong Lefschetz Properties Across Mathematics”, Pernambuco, Brazil, October 2027.
Talks and Conferences
Previous Conferences
- “Joint meeting of the NZMS, AustMS and AMS”, special session on Algebraic Geometry and Matroids, 9-13 December 2024, Auckland University, New-Zealand
- “Nordic mini-conference in algebra, analysis and geometry”, 6-8 November 2024, Mälardalen University, Västerås, Sweden
- Recent Developments in Commutative Algebra, the second AMS-UMI international joint meeting, 25-26 July 2024, Palermo, Italy
- Lefschetz properties in Algebra, Geometry, Topology and Combinatorics, 23-29 June 2024, Kraków, Poland
- Lefschetz Properties in Algebra, Geometry, Topology and Combinatorics, (assisted in a mini course on Jordan type), 5-11 May, 2024, Kraków, Poland
- Enumerative geometry of the Hilbert scheme of points, 28 jan – 2 feb, 2024, Les Diablerets, Switzerland
- Celebrating women in math 2023, 22-26 May 2023, Brazil
- Workshop on Lefschetz Properties in Algebra, Geometry, Topology and Combinatorics, 15-19 May 2023, Fields institute, Canada (followed online)
- AMS special session on The Combinatorics and Geometry of Jordan Type and Lefschetz Properties, Joint Mathematics Meetings, 4-7 January 2023, Boston, USA
- Commutative Algebra, Algebraic Geometry and Related Topics, Universitat Jaume I, Universidad Michoacana De San Nicolas De Higalgo, Universitat Politècnica de València, 8-9 December 2022, Spain and Mexico (online workshop)
- The strong and weak Lefschetz properties, 12-16 September 2022, INdAM meeting, Il Palazzone, Cortona, Italy
- AMS-EMS-SMF special session on Deformation of Artinian algebras and Jordan type, 18-22 July 2022, Grenoble, France
- Arrangements in Ticino, 27 June – 1 July 2022, Ticino, Switzerland
- Lefschetz Properties in Algebra, Geometry and Combinatorics II, 14-18 October 2019, CIRM, Marseille, France
- Algebraic Combinatorics in Ancona, 13-15 June 2018, Ancona, Italy
- Lefschetz properties and Jordan type in algebra, geometry and combinatorics, 25-29 June 2018, Levico Terme, Italy
- Lefschetz properties in algebra, geometry and combinatorics, 10-14 July 2017, Mittag-Leffler, Stockholm, Sweden
- LICMA ’17, 16-19 May 2017, Lebanon
- Combinatorics at the crossroads of Algebra, Geometry and Topology, AMS Special Session, 24-24 September 2016, Brunswick, USA
- Computational Geometric Topology in Arrangement Theory, 6-10 July 2015 ICERM, Providence, USA
- Conference on Differential Geometry, Notre-Dame University / CAMS, 27-30 April 2015 Lebanon
- Applications of Artin Approximation in Singularity Theory, February 2015, CIRM, Marseille, France
- Algebraic Topology, geometric and combinatorial group theory, 19 January – 8 February 2015, Centro di Ricerca Matematica, Pisa, Italy
- Commutative Algebra and Singularity Theory, 28 July – 1 August 2014, Tateyama, Japan
- Local cohomology and syzygies of affine algebras, Pragmatic School, 23 June – 11 July 2014, Catania, Italy
- Geometry and Topology of Singular Varieties, Theory and Applications, CIMPA School Hanoi, 2-14 December 2013, Vietnam
- Geometry and Topology of Complex Singularities, CIRM, April 2013, Marseille, France
- Characteristic Classes, Summer School, 22-26 October 2012, Porquerolles, France
Conferences Organisation
- “Algebra and Friends”, (recurrent meeting)
- “Jordan Types of Artinian Algebras and Geometry of Punctual Hilbert Schemes”, to celebrate the 80th birthday of Professor Anthony Iarrobino, 23-26 June 2025, Laboratoire Jean Alexandre Dieudonné, Université Côte d’Azur, Nice, France
- “The Weak and Strong Lefschetz Properties across Mathematics“, 2-6 June 2025, Sophus Lie Conference Center, Nordfjordeid, Norway
- Seminar in mathematics at University of Borås, 2021-2024.
Publications and Preprints
Peer-reviewed articles
- N. Abdallah, N. Altafi, A. Iarrobino and J. Yaméogo. Jordan Degree Type for Codimension Three Gorenstein Algebras of Small Sperner Number, Linear Algebra and its Applications, 728, (2026), 82-120
(arxiv) - N. Abdallah and C. McDaniel. Lattice Paths, Lefschetz Properties, and Almkvist’s Conjecture in Two Variables,Algebraic Combinatorics, Volume 8 (2025) no. 2, pp. 295-317
(arxiv) - N. Abdallah. A note on Artin Gorenstein algebras with Hilbert function (1,4,k,k,4,1). Contemporary Mathematics, In: Deformation of Artinian Algebras and Jordan Type: AMS-EMS-SMF Special SessionDeformation of Artinian Algebras and Jordan TypeJuly 18–22, 2022, Université Grenoble Alpes, Grenoble, France / [ed] Anthony Iarrobino, Pedro Macias Marques, Maria Evelina Rossi, Jean Vallès, American Mathematical Society (AMS), 2024, p. 57-66
(arXiv) - N. Abdallah, J. Emsalem, A. Iarrobino and J. Yaméogo. Limits of graded Gorenstein algebras with Hilbert function (1,3^k,1), European Journal of Mathematics, 10, (2024)
(arXiv) - N. Abdallah, N. Altafi, P. De Poi, L. Fiorindo, A. Iarrobino, P. M. Marques, E. Mezzetti, R. M. Miró-Roig, L. Nicklasson. Hilbert functions and Jordan type of Perazzo Artinian algebras, Lefschetz properties: current and new directions”, Springer – INdAM Series (2024).
(arXiv) - N. Abdallah and H. Schenck. Free resolutions and Lefschetz properties of some Artin Gorenstein rings of codimension four, Journal of Symbolic Computation, 121, (2024).
(arXiv) - N. Abdallah and H. Schenck. Nets in P^2 and Alexander Duality, Discrete & Computational Geometry, 70, (2023), 1840-1861.
(arXiv) - N. Abdallah, N. Altafi, A. Iarrobino, A. Seceleanu and J. Yaméogo. Lefschetz properties of some codimension three Artinian Gorenstein algebras, J. Algebra, 625, (2023), 28-45.
- N. Abdallah, J. Emsalem and A. Iarrobino. Nets of Conics and associated Artinian algebras of length 7, European Journal of Mathematics, 9, 22 (2023)
- N. Abdallah, M. Hansson and A. Hultman. Topology of posets with special partial matchings, Advances in Mathematics, 348, (2019), 255-276
- N. Abdallah and A. Hultman. Combinatorial invariance and Kazhdan-Lusztig-Vogan polynomials for fixed point free involutions, Journal of Algebraic Combinatorics, 47 No.4, (2018), 543-560
- N. Abdallah. On Hodge Theory of Singular Plane Curves, Canadian Mathematical Bulletin, 59, (2016), 449-460
- N. Abdallah. On Plane Curves with Double and Triple Points, Mathematica Scandinavica, 119, No.1 (2016)
Conference Papers
Preprints
Research visits
Northeastern University and Endicott college, Boston, USA
(January 1-14, 2023)
University of Côte d’Azur, Nice, France
(April 24 to May 5, 2022)
RIMS, Kyoto, Japan
(October 16-28, 2016)
University of Zaragoza, Spain
(October 5-12, 2016)
Past Experiences
Senior lecturer at University of Borås, Sweden
(2021-2024)
I taught “Linear algebra”, “Calculus 1 and 2”, “Discrete mathematics”, and “Matematik 1 – Basår”
Visiting assistant professor at Uppsala University, Sweden
(Fall 2020)
I taught “Linear algebra and Geometry” and “Matematik Baskurs”
Visiting assistant professor at University of Gothenburg, Sweden
(2019 – 2020)
I taught “Linear algebra”, “Statistics and discrete mathematics”, “Several variable calculus”, “Matematik 3 – Basår” and “Calculus”
Visiting assistant professor at Örebro University, Sweden
(2018)
I taught “Discrete mathematics”, “Case studies in statistics”, “Case stusdies in computational mathematics”, “Matlab projects in linear algebra and calculus”, and problem solving in linear algebra, calculus and statistics.
Postdoc at Linköping University, Sweden
(2016-2017)
I worked with Axel Hultman on Kazhdan-Lusztig polynomials and Coxeter groups.
Lecturer at American University of Beirut, Lebanese American University and University of Holy Spirit of Kaslik, Lebanon
(Fall 2015)
I taught “Discrete mathematics”, “Biostatistics” and “Freshman Calculus”.
Lecturer at Skema Business School, Sophia-Antipolis, France
(2012-2015)
I taught “College Algebra”, “Applied mathematics with matrices”