Rena Chu
I am a fifth-year graduate student at Duke University. I am interested in analytic number theory and more specifically, additive and multiplicative character sums. My advisor is Lillian Pierce. I'm on the job market this Fall 2024!
I am currently supported by the Katherine Goodman Stern Fellowship from The Graduate School at Duke University.
Before starting a PhD at Duke, I completed my undergraduate studies at the University of Toronto and a master's degree (Part III) at the University of Cambridge.
Email: rena[dot]chu[at]duke[dot]edu
Here is a list of my publications:
Generalizations of the Schrödinger maximal operator: building arithmetic counterexamples, with L. B. Pierce, Journal d’Analyse Mathématique 2023 (arXiv)
Counterexamples for high-degree generalizations of the Schrödinger maximal operator, with C. An and L. B. Pierce, International Mathematics Research Notices 2023 (arXiv)
Constant root number on integer fibres of elliptic surfaces, with J. Desjardins, Journal of Number Theory 2023 (arXiv)
Recent funding and awards:
Katherine Goodman Stern Fellowship, Duke University, 2024/2025
L.P. Smith Award for Teaching Excellence, 2024
Finalist for the Jane Street Graduate Research Fellowship, 2024
Talks given:
Palmetto Number Theory Series (PANTS) XXXVIII (contributed), Sep 2024
LSU Algebra and Number Theory Seminar (invited), Jan 2024
Monodromy and Its Applications, on the Occasion of Nicholas Katz' 80th Birthday (contributed), Dec 2023
AMS Fall Southeastern Sectional Meeting (invited), Oct 2023
32èmes Journée Arithmétiques (contributed), Jul 2023
IAS Women and Mathematics Evening Research Talks (invited), May 2023
Triangle Area Graduate Mathematics Conference (contributed), Feb 2023
Triangle Area Graduate Mathematics Conference (contributed), Mar 2022
Zoom On Rational Points (ZORP) (invited), Jun 2021
Duke Number Theory Seminar, Oct 2020
Workshops and conferences attended:
Palmetto Number Theory Series (PANTS) XXXVIII, Sep 2024, Winston-Salem, NC
Hausdorff Summer School: Uniformity and Stability of Oscillatory Integrals, Jul 2024, Bonn, Germany
Monodromy and Its Applications, on the Occasion of Nicholas Katz' 80th Birthday, Dec 2023, Princeton, NJ
AMS Fall Southeastern Sectional Meeting, Oct 2023, Mobile, AL
RHB70: Analytic Number Theory and Its Interfaces, Jul 2023, Oxford, UK
32èmes Journées Arithmétiques, Jul 2023, Nancy, France
IAS Women and Mathematics, May 2023, Princeton, US
Mordell 2022, Aug 2022, Cambridge, UK
Elliptic Curves Graduate School, Aug 2022, Baskerville Hall, UK
PCMI 2022 Graduate Summer School: Number Theory Informed by Computation, Jul-Aug 2022, Park City, US
Arizona Winter Semester 2021: Virtual School in Number Theory, Jan-Mar 2021, on zoom
Teaching:
Math 112L Laboratory Calculus II (Instructor), Fall 2023
Summer Workshop in Math (SWiM) at Duke (Instructor), Summer 2023
IAS Women and Mathematics Program (TA), May 2023
Math 111L Laboratory Calculus I (Instructor), Fall 2022
Math 290 Special Topics in the History of Mathematics (Grader), Spring 2022
Math 111L Laboratory Calculus I (TA), Fall 2021
Expository writing:
On large gaps between primes, Cambridge Part III essay (an exposition of Long gaps between primes by Ford, Green, Konyagin, Maynard, and Tao)
On Waring's problem with restricted digits (an exposition of Waring's problem with restricted digits by Green) (pdf)
On Roth's theorem on Diophantine approximation of algebraic numbers (an exposition of Roth's theorem as recorded in Diophantine Approximation by Schmidt) (pdf)
Others:
My colleague Kairi Black and I started a graduate number theory seminar at Duke University in 2022. See more details here: https://sites.google.com/view/winter-at-duke/home.