##### My research is in combinatorics and combinatorial algebraic geometry

### Papers and preprints

- Geometric families of degenerations from mutations of polytopes. With M. Harada and C. Manon, 2024.
- Gorenstein-Fano polytopes and compactifications of rank 2 polyptych lattices. With A. Cook, M. Harada, and C. Manon, 2024.
- Automorphisms and deformations of regular semisimple Hessenberg varieties. With P. Brosnan, J. Hong, D. Lee, E. Lee, A. Mellit, and E. Sommers, 2024.
- Sums of weighted lattice points of polytopes. With J. De Loera, N. Kaplan, and C. Wang, 2024.
- Which Schubert Varieties are Hessenberg Varieties? With M. Precup and J. Shareshian, Transform. Groups, 2023.
- Complexity of the usual torus action on Kazhdan-Lusztig varieties. With M. Donten-Bury and I. Portakal, Algebr. Comb., 6(3):835–861, 2023.
- Enumeration of max-pooling responses with generalized permutohedra. With P. Gallardo, J. González Anaya, J. González, G. Montúfar, and A. Morales, 2022.
- Hessenberg varieties of codimension one in the flag variety. With M. Precup and J. Shareshian, 2022.
- Partial permutohedra. With R. Behrend, F. Castillo, A. Chavez, A. Diaz-Lopez, P. Harris, and E. Insko, 2022.
- K-orbit closures and Barbasch-Evens-Magyar varieties. With B. Wyser and A. Yong, Pacific J. Math. 320, No. 1, 103–132. 2022.
- Wall-crossing for Newton-Okounkov bodies and the tropical Grassmannian. With M. Harada, Int. Math. Res. Not. IMRN, (7):5152–5203, 2022.
- Edge Constrained Vertex Colorings and their Applications to Genomics. With J. Anema, 2021.
- Gröbner bases, symmetric matrices, and type C Kazhdan-Lusztig varieties. With A. Fink, J. Rajchgot , and A. Woo, 2021. Accepted to J. Lond. Math. Soc.
- The harmonic polytope. With F. Ardila, Selecta Math. (N.S.), 27(5):Paper No. 91, 2021.
- Convex Polytopes, Algebraic Geometry, and Combinatorics. With K. Kaveh, Notices of the American Mathematical Society 67(8):1116–1123, 2020.
- A brief survey about moment polytopes of subvarieties of products of Grassmanians, Algebraic and Geometric Combinatorics on Lattice Polytopes, Proceedings of the Summer Workshop on Lattice Polytopes, 23 July - 10 August 2018, pp. 200-216, 2019.
- Newton polytopes and symmetric Grothendieck polynomials. With A. Yong, C. R. Math. Acad. Sci. Paris, 355(8):831–834, 2017.
- The multidegree of the multi-image variety. With A. Knutson, In Combinatorial algebraic geometry, volume 80 of Fields Inst. Commun., pages 283–296. Fields Inst. Res. Math. Sci., Toronto, ON, 2017.
- Rhombic tilings and Bott-Samelson varieties. With O. Pechenik, B. E. Tenner, and A. Yong, Proc. Amer. Math. Soc., 146(5):1921–1935, 2018.
- Toric matrix Schubert varieties and their polytopes. With K. Mészáros, Proc. Amer. Math. Soc., 144(12):5081–5096, 2016.
- Subword complexes via triangulations of root polytopes. With K. Mészáros, Algebraic Combinatorics, 1(3):395–414, 2018.
- Brick manifolds and toric varieties of brick polytopes, Electron. J. Combin., 23(2):Paper 2.25, 18, 2016.

# Laura Escobar

Associate
Professor - Washington University in St. Louis