Sophie Kriz

I am a mathematician interested primarily in representation theory, algebraic topology, and algebraic geometry, CV. I graduated from the University of Michigan with a B.S. in Honors Mathematics. I am currently a Ph.D. student at Princeton University. I am supported by a 2023 National Science Foundation Graduate Research Fellowship, no. 2023350430.


Research Papers:

1. Equivariant cohomology and the super reciprocal plane of a hyperplane arrangement, (Algebraic & Geometric Topology 22 (2022), 991-1015)

2. Noether's problem for orientation p-subgroups of symmetric groups, (Communications in Algebra 46 (2018), 5261-5272)

3. On Weil reciprocity in motivic cohomology, (Mathematische Zeitschrift 303 (2023) no.3, Paper No. 57)

4. Actads, (Science China Mathematics 65 (2022) 1909-1952)

5. Notes on equivariant homology with constant coefficients, (Pacific Journal of Mathematics 309 (2020) 381-399)

6. On completion and the evenness conjecture for homotopical equivariant cobordism , (Peking Mathematical Journal (2025))

7. Some remarks on Mackey functors (arXiv: 2205.12192.15346)

8. On the local cohomology of L-shaped integral FI-modules ( Journal of Algebra 611 (2022) 149-174)

9. Some examples of simple generic FI-modules in positive characteristic, (Representation Theory 27 (2023) 1194-1207)

10. On the Frobenius type of semisimple pre-Tannakian categories in characteristic p>0

11. On the canonicity of the singularities of quotients of the Fulton-MacPherson compactification (Proceedings of the AMS 152 (2024) 2725-2730)

12. Arbitrarily high growth in quasi-pre-Tannakian categories (to appear in Michigan Mathematical Journal)

13. Quantum Delannoy categories

14. On semisimplicity and deformations of quasi-pre-Tannakian categories

15. Interpolation of general affine groups and semidirect products of symplectic groups with Heisenberg groups via representation stability

16. Oscillator representations and semisimple pre-Tannakian categories

17. The Delannoy tree category

18. Howe duality over finite fields I: the two stable ranges (arXiv: 2412.15346)

19. Howe duality over finite fields II: explicit stable computation (arXiv:2506.22983)

20. Howe duality over finite fields III: full computation and the Gurevich-Howe conjectures (arXiv:2506.22986)

21. Interpolated equivariant schemes


Check out my book Introduction to Algebraic Geometry! I co-authored this text because I wanted to make the subject more accessible to students. It is based on my notes from when I first learned it.


Other Links:

Listen to me play the Ricercar by J.S.Bach and my piano transcription of the Prelude in E flat Major or Aus tiefer Not by J.S.Bach.

Contact me