Anna Medvedovsky
Postdoc, Boston University.
Research interests: mod- p and p-adic phenomena in modular forms, Hecke algebras, and Galois representations.Previously, I was a postdoc at the Max-Planck-Institut für Mathematik. I completed my Ph.D. in 2015 from Brandeis University under the supervision of Joël Bellaïche. Curriculum vitae Updated January 2021. |

- Big images of Galois pseudorepresentations. Joint with Andrea Conti and Jaclyn Lang. Under revision at Math. Annalen.
- Newforms mod
*p*in squarefree level, with applications to Monsky’s Hecke-stable filtration. Joint with Shaunak Deo, and with an appendix by Alexandru Ghitza.*Transactions of the AMS, Series B*6 (2019), 245–273. - Mod-2 dihedral Galois representations of prime conductor. Joint with Kiran Kedlaya.
*Proceedings of the Thirteenth Algorithmic Number Theory Symposium*. Open Book Series 2 (2019) 325–342.- Kiran Kedlaya's slides at ANTS-XIII.

- Modular forms modulo 3 of level one.
**Paper draft:**An explicit universal Galois representation on the mod-3 Hecke algebra.**Speed talk slides:**A universal Galois representation attached to modular forms mod 3.**Data:**A convenient basis for the space of mod-3 modular forms of level one, adapted, in the spirit of Nicolas and Serre, to*T*_{7}–2 and*T*_{2}.

- Nilpotence order growth of recursion operators in characteristic
*p*.*Algebra and Number Theory*12 (2018) no. 3, 693–722. - Poster slides on this project. An overview. Some pretty pictures.

- Lower bounds on dimensions of mod-
*p*Hecke algebras: The nilpotence method. Ph.D. dissertation. Not short.- The proof of the key technical result (which had an error) has been corrected and appears in Nilpotence order growth of recursion operators in characteristic
*p*, above. **Data:**Hecke recursion polynomials in level one mod small primes.

- The proof of the key technical result (which had an error) has been corrected and appears in Nilpotence order growth of recursion operators in characteristic

- Fall 2021. BU MA 541: undergraduate algebra I