My research is in the area of Commutative Algebra. I graduated from the Department of Mathematics at Purdue University under the direction of Professor Bernd Ulrich.
In the Fall 2012, I was a Research Member at MSRI, Berkeley.
My research was funded by a Simons Collaboration Grant , 2012-2018.
Alessandra Costantini, Louiza Fouli, Kriti Goel, Kuei-Nuan Lin, Haydee Lindo, Maral Mostafazade- hfard, Algebraic invariants of the special fiber ring of ladder determinantal modules, submitted, available at arxiv.org/abs/2507.22167
Michael DiPasquale, Louiza Fouli, Arvind Kumar, and \c{S}tefan O. Toh\v{a}neanu, Generalized Hamming weights and symbolic powers of Stanley-Reisner ideals of matroids, submitted, available at arxiv.org/abs/2406.13658
Louiza Fouli, Jonathan Montano, Claudia Polini, and Bernd Ulrich, The core of monomial ideals, to appear in Journal of Algebra and Number Theory, 19 (2025), 1463–1494.
Ela Celikbas, Emilie Dufresne, Louiza Fouli, Elisa Gorla, Kuei-Nuan Lin, Claudia Polini, and Irena Swanson, Rees algebras of sparse determinantal ideals, Trans. Amer. Math. Soc., 377 (2024), no.4, 2 317-2333.
Alessandra Costantini, Louiza Fouli, and Jooyoun Hong, Residual intersections and core of modules, J. Algebra 629 (2023), 227–246.
Louiza Fouli, T`ai Huy H`a, and Susan Morey, Regular sequences on squares of monomial ideals, Sao Paulo J. Math. Sci. 17 (2023), no. 1, 122–146.
Louiza Fouli, Huy T`ai H`a, and Susan Morey, Depth of powers of squarefree monomial ideals, Advances in Mathematical Sciences, 161–171, Assoc. Women Math. Ser., 21, Springer, Cham, 2020.
Louiza Fouli, Huy T`ai H`a, and Susan Morey, Initially regular sequences and depths of ideals, J. Algebra 559 (2020), 33–57.
Louiza Fouli and Bruce Olberding, Generators of reductions of ideals in a local Noetherian ring with finite residue field, Proc. Amer. Math. Soc. 146 (2018), 5051–5063.
Louiza Fouli, Paolo Mantero, and Yu Xie, Chudnovsky’s Conjecture for very general points in P_k^N , J. Algebra 498 (2018), 211–227.
Louiza Fouli, Reduction numbers and balanced ideals, Commutative Algebra and Noncommuta-tive Algebraic Geometry, I, Math. Sci. Res. Inst. Publ., 67 Volume II (2015), 169–180.
Louiza Fouli and Susan Morey, Lower bounds for the depth of powers of edge ideals, J. Algebraic Combin., 42 (2015), 829–848.
Louiza Fouli and Kuei-Nuan Lin, Rees algebras of square-free monomial ideals, J. Commut. Alg. 7 (2015), 25–54.
Louiza Fouli and Susan Morey, Minimal reductions and cores of edge ideals, with J. Algebra 364 (2012), 52–66.
Louiza Fouli, Janet Vassilev, and Adela Vraciu, A formula for the ∗-core of an ideal, Proc. Amer. Math. Soc. 139 (2011), 4235–4245.
Louiza Fouli, Craig Huneke, What is a system of parameters?, Proc. Amer. Math. Soc. 139 (2011), 2681–2696.
Louiza Fouli, Claudia Polini, and Bernd Ulrich, Annihilators of Graded Components of the Canonical Module and the Core of Standard Graded Algebras, Trans. Amer. Math. Soc. 362 (2010), 6183–6203.
Louiza Fouli and Janet Vassilev, The cl-core of an ideal, Math. Proc. Camb. Phil. Soc. 149 (2010), 247–262.
Louiza Fouli, Claudia Polini, and Bernd Ulrich, The core of ideals in arbitrary characteristic, Michigan Math. J. 57 (2008), 305–319.
Louiza Fouli, Computing the core of ideals in arbitrary characteristic, J. Algebra 319 (2008), 2855–2867.
Louiza Fouli, A study on the core of ideals, Ph. D. thesis under the direction of Professor Bernd Ulrich, 2006.