Zheng Liu

About

Zheng Liu is an associate professor at the University of California, Santa Barbara. He received his Ph.D. from Columbia University in 2016 under the supervision of Eric Urban. His research area is number theory, with a particular focus on p-adic properties of automorphic forms, special L-values, and Iwasawa theory. His work involves deep investigations into p-adic L-functions, theta lifts of Hida families, and the arithmetic of modular forms. Liu's research contributions include studies on derived p-adic heights, the leading coefficients of p-adic L-functions, and the Iwasawa Greenberg main conjecture for non-ordinary modular forms. His collaborations with other mathematicians have led to advances in understanding Eisenstein congruences, Archimedean zeta integrals for unitary groups, and the theory of Klingen Eisenstein series on symplectic groups. Overall, his research advances the understanding of the interplay between automorphic forms, p-adic analysis, and arithmetic geometry.

Research topics

• Computer Science
• Artificial Intelligence
• Data Mining
• Machine Learning
• Reliability engineering
• Engineering
• Natural resource economics
• Computer vision
• Ecology
• Environmental planning

Selected publications

• <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>p</mml:mi> </mml:math> -adic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>L</mml:mi> </mml:math> -functions for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi mathvariant="normal">GSp</mml:mi> <mml:mo>(</mml:mo> <mml:mn>4</mml:mn> <mml:mo>)</mml:mo> <mml:mo>×</mml:mo> <mml:mi mathvariant="normal">GL</mml:mi> <mml:mo>(</mml:mo> <mml:mn>2</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> , II

  Journal de l’École polytechnique — Mathématiques · 2026-05-22

  articleOpen access1st authorCorresponding

  We construct a four-variable <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>p</mml:mi> </mml:math> -adic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>L</mml:mi> </mml:math> -function for cuspidal Hida families on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi mathvariant="normal">GSp</mml:mi> <mml:mo>(</mml:mo> <mml:mn>4</mml:mn> <mml:mo>)</mml:mo> <mml:mo>×</mml:mo> <mml:mi mathvariant="normal">GL</mml:mi> <mml:mo>(</mml:mo>…

  PublisherOA PDFDOI

• Ball Mill Grinding Condition Classification Method Based on Triaxial Vibration Spectrograms and Deep Attention Networks

  Radioengineering · 2025-08-07

  articleOpen access

  Accurate detection of mill conditions during the cement grinding process directly impacts the quality of particle size distribution and energy consumption per ton of cement. This paper proposes a mill condition classification method based on three-axis wireless vibration sensing and deep feature learning to address issues such as distortion of mill condition characterization caused by power grid disturbances in traditional electrical power methods and sound transmission attenuation in mill sound…

  PublisherDOI

Recent grants

• P-adic Aspects of L-Values, Congruences Between Automorphic Forms, and Arithmetic Applications

  NSF · $123k · 2020–2025

Frequent coauthors

• Huan Liu

  200 shared

• Tao Zha

  Emory University

  130 shared

• Jian Ge

  Southeast University

  119 shared

• Salvatore Baglio

  University of Catania

  100 shared

• Shervin Shirmohammadi

  University of Ottawa

  100 shared

• Alessandro Ferrero

  99 shared

• Vice Provost

  University of Ottawa

  98 shared

• Reta Wehmeier

  Argonne National Laboratory

  98 shared

Education

• Ph.D.

  University of Ottawa

  2007

• Ph.D.

  Kyoto University

  2000

Similar researchers at University of California, Santa Barbara

• Linda Petzoldh-68
• Igor Mezich-60
• Zhenghan Wangh-56