Skip to main content

Postdoctoral Scholar in Applied Mathematics

Position overview

Position title: Postdoctoral Scholar
Salary range: See Table 23 for the salary range for this position. A reasonable estimate for this position is $60,000 - $ 71,952.
Percent time: 100%
Anticipated start: January 16, 2024
Position duration: 2 years

Application Window

Open date: August 24, 2023

Next review date: Wednesday, Nov 1, 2023 at 11:59pm (Pacific Time)
Apply by this date to ensure full consideration by the committee.

Final date: Friday, Dec 15, 2023 at 11:59pm (Pacific Time)
Applications will continue to be accepted until this date, but those received after the review date will only be considered if the position has not yet been filled.

Position description

Prof. Harish S. Bhat ( in Applied Mathematics at UC Merced is seeking applicants for a postdoctoral position focused on automated learning of reduced-order models for quantum dynamics. The postdoctoral scholar will work on new mathematical and computational methods to learn tractable models that accurately predict the dynamics of time-dependent quantum systems. Systems/problems of interest include electron dynamics, nuclear/spin dynamics, and optimizing coherence times for quantum circuits.

The postdoctoral scholar will contribute to methods that fuse first-principle modeling (including numerical analysis and scientific computing) with machine learning modeling of quantum Hamiltonian terms (e.g., using neural networks). To train these models, the postdoctoral scholar will develop and apply optimization methods that are constrained by time-dependent, physical dynamics with symmetries and invariants. The postdoctoral scholar will be free to develop and incorporate ideas from a diverse array of subfields including physics-constrained learning, equation discovery, dimensionality reduction, interpretable machine learning, geometric mechanics, and/or optimal control. The resulting methods will enable simulation and control of quantum systems that cannot be handled by currently available methods.

The postdoctoral scholar will work closely with Prof. Bhat and will also be co-mentored by Prof. Christine Isborn (Chemistry, UC Merced). The postdoctoral scholar will be expected to publish in peer-reviewed journals and proceedings, to develop and publish open-source software, to present research findings at conferences, and to work with graduate and undergraduate student researchers.


Basic qualifications

A PhD in Applied Mathematics, Control & Dynamical Systems, Theoretical/Computational Physics, Theoretical/Computational Chemistry, or a related field

Experience developing new computational methods and implementing these methods in code, e.g., with Python and NumPy/SciPy

Interest in machine learning and quantum dynamics

Ability to effectively communicate verbally and in writing

Additional qualifications

Experience publishing peer reviewed articles and presenting at technical conferences

Preferred qualifications

Experience with one or more of the following areas: PDE-constrained optimization, optimal control, numerical simulation of quantum systems, physics-constrained learning, and/or geometric mechanics

Proficiency in scientific computing on modern clusters with GPU nodes

Experience with machine learning frameworks such as JAX, PyTorch, and/or TensorFlow

Application Requirements

Document requirements
  • Curriculum Vitae - Your most recently updated C.V.

  • Cover Letter

  • Statement on Contributions to Equity, Diversity, and Inclusion - Statement on your contributions to equity, diversity, and inclusion, including information about your understanding of these topics, your record of activities to date, and your specific plans and goals for advancing equity and inclusion. Please review the UC Merced Diversity Statement Guidelines and UC’s Commitment to Diversity

Reference requirements
  • 3 required (contact information only)
Apply link:

Help contact:

Campus Information

As a University employee, you will be required to comply with all applicable University policies and/or collective bargaining agreements, as may be amended from time to time. Federal, state, or local government directives may impose additional requirements. This includes the University of California Policy on Vaccination Programs:

The University of California is an Equal Employment Opportunity/Affirmative Action employer and invites applications from all qualified applicants, including women, minorities, veterans, and individual with disabilities, who will enrich the teaching, research and public service missions of the university. All qualified applicants will be considered for employment without regard to race, color, religion, sex, sexual orientation, gender identity, national origin, disability, age or protected veteran status. For the complete University of California nondiscrimination and affirmative action policy, see: UC Nondiscrimination & Affirmative Action Policy (

The University of California, Merced, is the newest of the University of California system’s 10 campuses. With over 9,000 undergraduate and graduate students (, UC Merced provides outstanding educational opportunities to highly qualified students from the heart of California, the nation, and abroad. The campus has special connections to nearby Yosemite National Park; is on the cutting edge of sustainability in construction and design; and supports the economic development of Central California. The Merced 2020 Project doubled the physical capacity of the campus, and enhanced academic distinction, student success, and research excellence (

UC Merced is a smoke & tobacco free campus (

Job location

Merced, CA