Yunqing Tang


Yunqing Tang is a mathematician specialising in number theory and arithmetic geometry and an associate professor at the University of California, Berkeley. She was awarded the SASTRA Ramanujan Prize in 2022 for "having established, by herself and in collaboration, a number of striking results on some central problems in arithmetic geometry and number theory".
Yunqing Tang was born in China and secured a BSc degree from Beijing University in 2011 and then moved to Harvard University for higher education, from where she graduated with a PhD degree in 2016 under the guidance of Mark Kisin. She was associated with Princeton University in several capacities. First she was with the IAS Princeton during 2016–2017, then as an instructor from July 2017 to Jan 2020 and then as an assistant professor from July 2021 to June 2022, In between, she worked as a researcher at CNRS from February 2020 to June 2021. She is with University of California, Berkeley since July 2022.

Work

In collaboration with Vesselin Dimitrov and Frank Calegari, Tang proved the unbounded denominators conjecture of A.O.L. Atkin and Swinnerton-Dyer: if a modular form is not modular for some congruence subgroup of the modular group, then the Fourier coefficients of have unbounded denominators. It has been known for decades that if is modular for some congruence subgroup, then its coefficients have bounded denominators.
Also in collaboration with Dimitrov and Calegari, she proved the linear independence of and
The citation for SASTRA Ramnujan Prize summarizes Yunqing Tang's contributions to mathematics thus:

Awards and recognition

The awards and recognition conferred on Yunqing Tang include: