My research is in combinatorics and combinatorial algebraic geometry

Papers and preprints

1. Sums of weighted lattice points of polytopes. With J. De Loera, N. Kaplan, and C. Wang, 2024.


2. Which Schubert Varieties are Hessenberg Varieties? With M. Precup and J. Shareshian, Transform. Groups, 2023.


3. Complexity of the usual torus action on Kazhdan-Lusztig varieties. With M. Donten-Bury and I. Portakal, Algebr. Comb., 6(3):835–861, 2023.


4. Enumeration of max-pooling responses with generalized permutohedra. With P. Gallardo, J. González Anaya, J. González, G. Montúfar, and A. Morales, 2022.


5. Hessenberg varieties of codimension one in the flag variety. With M. Precup and J. Shareshian, 2022.


6. Partial permutohedra. With R. Behrend, F. Castillo, A. Chavez, A. Diaz-Lopez, P. Harris, and E. Insko, 2022.


7. K-orbit closures and Barbasch-Evens-Magyar varieties. With B. Wyser and A. Yong, Pacific J. Math. 320, No. 1, 103–132. 2022.


8. Wall-crossing for Newton-Okounkov bodies and the tropical Grassmannian. With M. Harada, Int. Math. Res. Not. IMRN, (7):5152–5203, 2022.


9. Edge Constrained Vertex Colorings and their Applications to Genomics. With J. Anema, 2021.


10. 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.


11. The harmonic polytope. With F. Ardila, Selecta Math. (N.S.), 27(5):Paper No. 91, 2021.


12. Convex Polytopes, Algebraic Geometry, and Combinatorics. With K. Kaveh, Notices of the American Mathematical Society 67(8):1116–1123, 2020.


13. 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.


14. Newton polytopes and symmetric Grothendieck polynomials. With A. Yong, C. R. Math. Acad. Sci. Paris, 355(8):831–834, 2017.


15. 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.


16. Rhombic tilings and Bott-Samelson varieties. With O. Pechenik, B. E. Tenner, and A. Yong, Proc. Amer. Math. Soc., 146(5):1921–1935, 2018.


17. Toric matrix Schubert varieties and their polytopes. With K. Mészáros, Proc. Amer. Math. Soc., 144(12):5081–5096, 2016.


18. Subword complexes via triangulations of root polytopes. With K. Mészáros, Algebraic Combinatorics, 1(3):395–414, 2018.


19. Brick manifolds and toric varieties of brick polytopes, Electron. J. Combin., 23(2):Paper 2.25, 18, 2016.