Alexandra Florea

Assistant Professor (tenure-track), Department of Mathematics, UC Irvine

Biography

Alexandra Florea is an Assistant Professor in the Department of Mathematics at the University of California, Irvine. She has been serving in this capacity since July 2021. Prior to her current position, Florea was a Ritt Assistant Professor and NSF Postdoctoral Fellow at Columbia University from 2018 to 2021, and she also held an NSF Postdoctoral Fellowship at the University of Bristol from 2017 to 2018. Florea completed her Ph.D. in Mathematics at Stanford University in 2017, under the supervision of Professor Kannan Soundararajan, and she earned her Bachelor of Science in Mathematics from the California Institute of Technology in 2012.

Florea's research interests lie in analytic number theory, with a particular focus on L-functions, their moments, and zeros, as well as function fields and random matrix theory. She has published extensively in prestigious mathematics journals, contributing to topics such as the moments of L-functions and the properties of the Riemann zeta-function. Her research has been recognized with several grants and awards, including a 2024-2029 NSF CAREER Grant and the Chancellor’s Inclusive Excellence Award at UCI for the period 2021-2023. Florea has been active in presenting her research at international conferences and workshops and has been an invited speaker at various seminars and colloquia.

In addition to her research, Florea is committed to teaching and mentoring students. At UC Irvine, she has taught courses such as Abstract Algebra, Topics in Algebra, and Graduate Algebraic Number Theory. She has supervised several Ph.D. students, including Hua Lin, Tingyu Tao, and Thurman Ye, guiding them through their academic and professional development. Florea also contributes to the academic community through service roles, including co-organizing the UCI Number Theory Seminar and participating in university committees such as Graduate Studies and Graduate Admissions. Her involvement in professional organizations includes mentoring programs and review panels, reflecting her dedication to supporting the next generation of mathematicians.

Education

PhD in Mathematics, Stanford University, 2017
Bachelor of Science in Mathematics, California Institute of Technology, 2012

Distinctions

NSF CAREER Grant DMS-2339274 (PI), 2024
NSF Grant DMS-2101769 (PI), 2021
The Chancellor’s Inclusive Excellence Award at UCI, 2021
NSF Mathematical Sciences Postdoctoral Fellowship, 2017
American Institute of Math SQuaRE Grant, 2017
US Junior Oberwolfach Fellow, 2016
Eric Temple Bell Award for undergraduate research in mathematics, Caltech, 2012
Herbert J. Ryser Award for academic excellence, Caltech, 2011

Areas of Expertise

Analytic Number Theory
L-functions
Function Fields
Random Matrix Theory
Arithmetic Statistics
Zeros of L-functions
Moments of L-functions
Number Theory Education
Mathematical Outreach
Mentoring in Mathematics

Recent Publications

H. Bui, M. Milinovich, “Negative discrete moments of the derivative of the Riemann zeta-function” (opens in new tab), Bulletin of the London Math Soc., vol. 56, no. 8, pp. 2680–2703, 2024.
E. Jones, M. Lalin, “Moments of Artin-Schreier L–functions”, Quarterly Journal of Math, 2024.
H. Bui, “Negative moments of the Riemann zeta-function” (opens in new tab), Journal für die reine und angewandte Mathematik, vol. 806, pp. 247–288, 2024.
A. Bucur, A. Serrano Lopez, I. Varma, “Power saving error terms for the number of D 4 -quartic extensions over a number ﬁeld ordered by discriminant” (opens in new tab), Research Directions in Number Theory: Women in Numbers V, pp. 197–218, 2024.
“Negative moments of L-functions with small shifts over function fields” (opens in new tab), Int. Math. Res. Not., vol. 3, pp. 2298–2337, 2024.
H. Bui, J. Keating, “The Ratios Conjecture and upper bounds for negative moments of L–functions over function fields” (opens in new tab), Transactions of the AMS, vol. 376, no. 6, pp. 4453–4510, 2023.
Chantal David, Matilde Lalin, “Mean values of cubic L–functions over function fields” (opens in new tab), Algebra & Number Theory, vol. 16, no. 5, pp. 1259–1326, 2022.
C. David, M. Lalin, “Nonvanishing for cubic L–functions” (opens in new tab), Forum of Math, Sigma, vol. 9, pp. Paper no. e69, 2021.
E. Carneiro, M. Das, A. Kumchev, A. Malik, M. Milinovich, C. Turnage-Butterbaugh, J. Wang, “Hilbert transforms and the equidistribution of zeros of polynomials” (opens in new tab), Journal of Functional Analysis, vol. 281, no. 9, pp. Paper No. 109199, 2021.
H. Bui, J. Keating, “Type I-terms for the one and the two level density of zeros in the hyperelliptic ensemble”, J. Number Theory, vol. 221, pp. 389–423, 2021.
Bui H.M., Florea A., Keating J.P., “Type-I contributions to the one and two level densities of quadratic Dirichlet L–functions over function fields” (opens in new tab), Journal of Number Theory, vol. 221, pp. 389-423, 2021.
K. Soundararajan, “The large sieve in function fields” (opens in new tab), 2020.
H. Bui, “Moments of Dirichlet L–functions with prime conductors over function fields” (opens in new tab), Finite Fields and App., vol. 64, 2020.
H. Bui, J. Keating, E. Roditty-Gershon, “Moments of quadratic twists of elliptic curve L–functions over function fields” (opens in new tab), Algebra & Number Theory, vol. 14, no. 7, pp. 1853–1893, 2020.
Hung Bui, “Hybrid Euler-Hadamard product for quadratic Dirichlet L–functions in function fields” (opens in new tab), Proc. London Math Soc., no. 1, pp. 65–99, 2018.
Hung Bui, “Zeros of quadratic Dirichlet L–functions in the hyperelliptic ensemble” (opens in new tab), Transactions of the AMS, no. 11, pp. 8013–8045, 2018.
“The fourth moment of quadratic Dirichlet L–functions in function fields” (opens in new tab), GAFA, vol. 27, no. 3, pp. 541–595, 2017.
“The second and third moment of L 1 2 , χ in the hyperelliptic ensemble” (opens in new tab), Forum. Math., vol. 29, no. 4, pp. 873–892, 2017.
“Improving the error term in the mean value of L 1 2 , χ in the hyperelliptic ensemble” (opens in new tab), Int. Math. Res. Not., no. 20, pp. 6119–6148, 2017.
Eva Belmont, Holden Lee, Sarah Trebat-Leder, “–adic properties of partition functions”, Monatsh. Math., vol. 173, no. 1, pp. 1–34, 2014.

Contact Information

Website: https://sites.google.com/view/alexandraﬂorea

Email: floreaa@uci.edu

Phone: (949) 824-5500

Address: 340 Rowland Hall, Irvine, CA 92697, USA

This profile was created with the help of AI.

Last updated on 2/14/2025.