Mitsuki Hanada
Department of Mathematics | UC Berkeley
Email: mhanada [at] berkeley [dot] edu
Office: 1037 Evans Hall
I am a fifth year math PhD student at UC Berkeley advised by Mark Haiman and Sylvie Corteel. My research interests are in algebraic combinatorics and representation theory, with a primary focus on problems related to modified Macdonald polynomials, generalized coinvariant rings, and catabolism. I completed my B.A. in Mathematics at Wellesley College in 2021.
I am on the job market in Fall 2025 . Here is my CV.
Research
- Representation Theoretic Bases for the $\Delta$-Springer module . arXiv:2509.24252 [math.CO] (2025).
- Slides from a talk I gave at the CAGE seminar (September 2025).
- A charge monomial basis of the Garsia-Procesi ring . arXiv:2410.15514 [math.CO] (2024), Accepted to Algebraic Combinatorics
- Slides from a talk I gave at CAAC (Combinatorial Algebra meets Algebraic Combinatorics) (January 2025)
- Extended Abstract that appeared in FPSAC 2025 proceedings.
- Polyhedral geometry of refined q,t-Catalan numbers (with Matthias Beck, Max Hlavacek, John Lentfer, Andrés R. Vindas-Meléndez, and Katie Waddle). arXiv:2407.21226 [math.CO] (2024)., Accepted to Journal of Combinatorics.
- Generalized parking function polytopes (with John Lentfer and Andrés R. Vindas Meléndez). Annals of Combinatorics, 28, 575–613, (2024). arXiv:2212.06885 [math.CO].
- Fourier Coefficients of Level 1 Hecke Eigenforms (with Rachana Madhukara), Acta Arith. 200, No. 4, 371--388 (2021). arXiv:2007.08683[math.NT].
Organizing
- September 2022- Present: Berkeley Combinatorics research seminar (currently with Christian Gaetz, Yuhan Jiang)
- September 2024- Present: Graduate Online Combinatorics Colloquium.
- Fall 2022, Spring 2024: Combinatorics student seminar "Talking about Combinatorial Objects Seminar" (TACOS).
Teaching
I am not teaching this semester.
- Spring 2025: Head GSI for Math 55, Discrete Math.
- Fall 2024: GSI for Math 110, Abstract Linear Algebra. Discussion material can be found here. (Berkeley email required)
- Summer 2024: Instructor for Math 55, Discrete Math. Course material can be found here. (Berkeley email required)
- Spring 2024: GSI for Math 110, Abstract Linear Algebra.Discussion material can be found here. (Berkeley email required)
- Fall 2023: GSI for Math 55, Discrete Math.. Discussion material can be found here. (Berkeley email required)
- Summer 2022: Instructor for Math 54, Linear Algebra and Differential Equations.
- Spring 2022: GSI for Math 54, Linear Algebra and Differential Equations.