Paula Burkhardt-Guim

Office: 1065 Evans Hall
Email: paulab (at) math (dot) berkeley (dot) edu

I am a PhD candidate in mathematics at UC Berkeley. My advisor is Richard Bamler.


Here, updated November 2019.


Pointwise lower scalar curvature bounds for C^0 metrics via regularizing Ricci flow, Geometric and Functional Analysis (2019) 29, 1703 - 1772, doi: 10.1007/s00039-019-00514-3. [arXiv: 1907.13116][ article]

One-level density for holomorphic cusp forms of arbitrary level (with O. Barrett, J. DeWitt, R. Dorward, S. J. Miller), Research in Number Theory (2017) 3, doi: 10.1007/s40993-017-0091-9. [arXiv: 1604.03224]

Random matrix ensembles with split limiting behavior (with P. Cohen, J. Dewitt, M. Hlavacek, S.J. Miller, C. Sprunger, Y. N. Truong Vu, R. Van Peski, K. Yang, and an appendix joint with M. Fernandez and N. Sieger), Random Matrices: Theory and Applications (2018) 7 No. 3. [arXiv:1609.03120]

Visual properties of generalized Kloosterman sums (with A. Z.-Y. Chan, G. Currier, S. R. Garcia, F. Luca, H. Suh), Journal of Number Theory (2016) 160, 237-253. [arXiv:1505.00018]

An exhibition of exponential sums: visualizing supercharacters (with G. Currier, S. R. Garcia, M. de Langis, B. Lutz, H. Suh), Proceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture (2015), 475-478.

Past Teaching

Spring 2018: GSI, Math 16B with Professor Yuan (Sections 201, 204, and 206)
Fall 2017: GSI, Math 16A with Professor Paulin (Sections 208, 212, and 213)
Spring 2017: GSI, Math 1B with Professor Stankova (Sections 102 and 104)
Fall 2016: GSI, Math 1A with Professor Paulin (Sections 104 and 108)