Di Fang

About me: I am an Assistant Professor of Mathematics at Duke University, and a member of Duke Quantum Center. This fall, I will be visiting and co-organizing a semester-long program on quantum computing at IPAM UCLA. Previously, I was at University of California, Berkeley as a Morrey Visiting Assistant Professor at Department of Mathematics (hosted by Prof. Lin Lin) and Simons Quantum Postdoctoral Fellow at Simons Institute for the Theory of Computing (hosted by Prof. Lin Lin and Prof. Umesh Vazirani). I received my PhD in mathematics from University of Wisconsin-Madison.
I currently serve as an editor of the journal Quantum. My research is funded in part by NSF grant DMS-2208416.

Research Interests: My research interests lie broadly in applied and numerical analysis of partial differential equations. After joining Berkeley, I became intrigued by quantum algorithms. My current focus is quantum related problems and quantum computing, in particular, quantum algorithms for differential equations including unbounded Hamiltonian simulation and other classical differential equations.

Organizing and Recent Activities: (for a list of recent talks please see here. )

• I am excited to serve on the program committee of QIP 2024.
• I am honored and excited to co-organize the IPAM long program Mathematical and Computational Challenges in Quantum Computing in 2023, Institute for Pure and Applied Mathematics (IPAM), UCLA.
• I gave two tutorial lectures on Quantum Algorithms for Dynamics Simulation (aka quantum version of numerical differential equations) at IPAM. Youtube Videos: Lecture 1 and Lecture 2.
• I served on Challenge Institute for Quantum Computation (CIQC) community council during 2021-2022 academic year. I am proud to be part of the Berkeley quantum ecosystem. To learn the quantum efforts and ecosystem at Berkeley, please see here for a quick 5-min video intro with me appearing shortly after 2min. :)
• I co-organized Applied Math Seminar (UC Berkeley / Lawrence Berkeley Laboratory) with Michael Lindsey and Franziska Weber from Fall 2019 to Spring 2023.
• April 2023: Our work on Trotter observable error bounds has been accepted as a talk on TQC 2023.
• March 2023: I am honored to give an invited talk in the annual American Physical Society (APS) March Meeting.
• January 2023: I co-organized a SIAM special session on quantum algorithms in Joint Mathematics Meeting 2023 (JMM 2023) with Dong An and Lin Lin. Please click the underlined session name to see the tentative schedule. Hope to see you in Jan!
• November 2022: Our work on Hamiltonian learning has been selected as a short plenary talk on QIP 2023.
• October 2022: Our work (with Albert Tres, an undergraduate student advised by me) on Observable Error Bounds has been accepted by SIAM Journal on Numerical Analysis.
• October 2022: I was invited to give a Colloquium in Applied Mathematics at University of Chicago.
• August 2022: My NSF proposal has been awarded by NSF Division of Mathematical Sciences for three years. I am happy to be the principle investigator.
• June 2022: I gave a talk on 2022 Association for Women in Mathematics (AWM) Research Symposium, University of Minnesota. It was my first time attending the AWM annual meeting. Thanks Jingwei Hu and Sara Pollock for the invitation!
• April 2022: Our paper "Time-dependent Hamiltonian Simulation of Highly Oscillatory Dynamics and Superconvergence for Schrodinger Equation" was accepted as a talk on TQC 2022 (17th Conference on the Theory of Quantum Computation, Communication and Cryptography). Here is the talk recording. (talk is in-person in July)
• Feb 2022: I was invited to give a Mathematics Department Colloquium at UC Berkeley.
• Jan-Feb 2022: I was a long-term visitor at Program on Towards Classically Intractable Quantum Simulations of Physics and Chemistry, The Kavli Institute for Theoretical Physics (KITP), UC Santa Barbara, and was invited to give a talk in hybrid format. Here is the recording. (talk is in-person)
• Jan 2022: I was an invited speaker and session chair at Workshop on Quantum Numerical Linear Algebra, IPAM, UCLA. Here is the recording. (talk is virtual)

Past Research Supervising (Undergraduate): Albert Tres, Troy Ryder, Enoch Liu, Alec Lumsden.