Nancy Abdallah

PhD in Mathematics

Nancy Abdallah

PhD in Mathematics

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Nancy Abdallah

PhD in Mathematics

​I am a postdoctoral research fellow in the Mathematics department at Linköping University.

Profile

Full Name

Nancy Abdallah

Address

Hus B, rum 2A 649, Campus Valla, Linköping University, Linköping, Sweden

Born

Lebanon

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Research

Research Areas

Algebraic Geometry

Combinatorics

Commutative Algebra

Research Topics

Mixed Hodge Theory of Singular Varieties

Plane curves and hyperplane arrangements

Syzygies of the Jacobian ideal

Coxeter Groups, Kazdhan Lusztig Theory

Publications and Preprints

N. Abdallah and A. Hultman, Combinatorial Invariance of Kazhdan-Lusztig-Vogan Polynomials for Fixed Point Free Involutions - Journal of Algebraic Combinatorics, (2017) (appeared online)

Abstract. When Sp(2n,C) acts on the flag variety SL(2n,C), the orbits are in bijection with fixed point free involutions in the symmetric group S_2n. In this case, the associated Kazhdan-Lusztig-Vogan polynomials can be indexed by pairs of fixed point free involutions u>u, where > denotes the Bruhat order on the symmetric group. We proved that these polynomials are combinatorial invariants for upper intervals in the Bruhat order on fixed point free involutions.

N. Abdallah, On Hodge Theory of Singular Plane Curves - Canad. Math. Bull. 59(2016), 449-460.

Abstract. The dimensions of the graded quotients of the cohomology of a plane curve complement with respect to the Hodge filtration are described in terms of simple geometrical invariants. The case of curves with ordinary singularities is discussed in detail. We also give a precise numerical estimate for the difference between the Hodge filtration and the pole order filtration.

N. Abdallah, On Plane Curves with Double and Triple Points - Mathematica Scandinavica 119(2016), 60-72.

Abstract. We describe in simple geometric terms the Hodge filtration on the cohomology of the complement of a plane curve with ordinary double and triple points. Relations to Milnor algebra, syzygies of the Jacobian ideal and pole order filtration.

Books

N. Abdallah, A. Dalmasso, S. Rochow, Fundamental Mathematics for Future Managers - (still in process)

N. Abdallah, A. Dalmasso, S. Rochow, Applied Mathematics and Firm Strategy - (still in process)

Teaching

2015

Lebanese American University - Lecturer

Fall: Calculus I (Freshman), Biostatistics

American University of Beirut - Lecturer

Fall: Calculus I (Freshman)

University of Holy Spirit, Kaslik - Lecturer

Fall: Discrete Algebra for Engineering

2014 - 2015

SKEMA Business School - Instructor

Summer: College Algebra

Fall: Applied Calculus and Matrices, College algebra

University of Nice Sophia-Antipolis - Instructor

Fall: Discrete Mathematics for 1st year mathematics for biology (L1SV), 1st year business administration (L1 EG) - Mathematics for economics and 1st year economic and social administration (L1 AES) - Applied Quantitative Techniques

2013 - 2014

SKEMA Business School - Instructor

Summer, Spring, Fall: College Algebra

University of Nice Sophia-Antipolis - Instructor

Spring: 2nd year business administration (L2 EG) - Mathematics for economics

Fall: 2nd year business administration (L2 EG) - Mathematics for economics, 1st year business administration (L1 EG) - Mathematics for economics and 1st year economic and social administration (L1 AES) - Applied Quantitative Techniques

2012 - 2013

University of Nice Sophia-Antipolis - Instructor

Spring: 2nd year business administration (L2 EG) - Mathematics for economics

Fall: 1st year economic and social administration (L1 AES) - Applied Quantitative techniques

2008 - 2010

Graduate Assistant at American University of Beirut

Master Students

Jean-Pierre Abi Baroud

Grants

2016 - 2017

Wenner-Gren for a postdoc position at Linkoping University

2011 - 2014

CNRS-L for PhD studies at University of Nice

2008 - 2010

Scholarship from American University of Beirut for Master Studies​

Education

2011 - 2014: Phd in Algebraic Geometry

University of Nice Sophia-Antipolis - Nice - France, Scholarship from CNRS-L

2008 - 2014: MS Pure Mathematics

American University of Beirut - Beirut - Lebanon

2004 - 2008: Maitrise Mathematics / Teaching Diploma

Lebanese University - Fanar - Lebanon​

Activities

Seminars and Talks

"Seminar of Geometry", University of Zaragoza, Spain - November 2016

"Seminar of Combinatorics", University of Miami, Miami, USA - October 2016

“Combinatorics at the crossroads of Algebra, Geometry and Topology”, AMS Special Session, Brunswick, USA - September 2016

"Seminar of Mathematics", Lebanese University, Faculty of Science, Tripoli, Lebanon - January 2016

“Computational Geometric Topology in Arrangement Theory”, ICERM, Providence, USA - July 2015

"Seminar of Singularities", University of Aix-Marseille, Marseille, France - May 2015

"Conference on Differential Geometry" Notre-Dame University / CAMS, Lebanon - April 2015

"Seminar of Analysis and Geometry", American University of Beirut, Lebanon - March 2015

"Algebraic Topology, geometric and combinatorial group theory", Centro di Ricerca Matematica, Pisa, Italy - February 2015

Thank You!

“Ideas are the beginning points of all fortunes”

Napoleon Hill