Innovative plasma solutions

Pro. Amir Aghili

Expert in plasma electronics and education.

Postdoctoral Research Fellow, Stanford University
Department of Electrical Engineering and Applied Mathematics| Google Scholar: [Amir Aghili] | IEEE Member |  FRS  |  JHU

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Academic Appointments

Stanford University, USA
Postdoctoral Researcher – Electronics & Quantum Systems
• Research in advanced electronic architectures and quantum field interactions within geometric dynamical systems.
• Integration of multi-field coupling and geometric computation for high-precision energy and information transfer modeling.

Massachusetts Institute of Technology (MIT)
Department of Mathematics and Electronics
• Interdisciplinary research in nonlinear systems, Riemannian dynamics, and electronic-mathematical modeling.
• Collaboration with the Laboratory for Information and Decision Systems (LIDS) on hybrid dynamical frameworks.
      •        Recognized for contributions to advanced research and professional excellence; actively engaged in academic development, scholarly collaboration, and international scientific initiatives.

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Education

Ph.D. in Theoretical and Applied Mathematics
— Massachusetts Institute of Technology (MIT)
Dissertation: Geometric Formalisms and Quantum-Relativistic Unification Models
Supervisor: Prof. Curtis T. McMullen (FIELDS MEDAL – Complex Dynamics)

M.Sc. in Electronics and Applied Physics
— Stanford University

B.Sc. in Electrical Engineering and Mathematical Physics
— Sharif University of Technology

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Honors and Distinctions
• Clifford Paterson Medal, The Royal Society, for exceptional research in applied mathematics and electronic systems.
• Africa Prize, Royal Academy of Engineering, for innovation in sustainable mathematical-engineering frameworks.
• Fellow, The Royal Society (FRS).
• Senior Member, IEEE.
• Research Excellence Award, Stanford University (2023).

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Research Affiliations and Collaborations

Harvard University – Advanced Dynamics | Geometric Structures | Riemann Surfaces | Moduli Spaces
London Mathematical Society (LMS) – Algebraic Geometry | Lie Groups | Ergodic Theory | Algebraic Topology
Princeton University – Structural Sustainability | General Relativity | Quantum Mechanics | Unified Field Theory

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Professional Memberships
• IEEE – Institute of Electrical and Electronics Engineers
• AAAS – American Association for the Advancement of Science
• AMS – American Mathematical Society
• APS – American Physical Society
• MAA – Mathematical Association of America
• LMS – London Mathematical Society
• FRS – The Royal Society 
        •      BA  –  British Academy


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Research Interests

Mathematical foundations of dynamical and physical systems, emphasizing the intersection of algebraic geometry, topological structures, and theoretical physics.
Current work develops unified models bridging geometric frameworks, quantum field theory, and relativistic continuum mechanics, including higher-order Riemannian moduli, geometric quantization, and nonlinear field coupling across multi-scale manifolds.

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Selected Publications and Preprints

(Representative sample – full list available upon request)
1. Aghili, A. “Unified Riemannian–Quantum Correspondence in Nonlinear Dynamical Fields.” Journal of Mathematical Physics (2024).
2. Aghili, A., McMullen, C. T. “Complex Dynamics and Modular Field Structures in Hyperbolic Geometries.” Annals of Mathematics (2023).
3. Aghili, A. “Topological Invariants in Geometric Quantum Electronics.” IEEE Transactions on Advanced Mathematics and Physics (2023).
4. Aghili, A. “Ergodic Curvature Flows and Quantum Manifold Stability.” Proceedings of the Royal Society A (2022).

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Invited Talks and Seminars
• Royal Society Annual Meeting, London (2024) – “Geometric Coupling in Unified Field Dynamics.”
• MIT–Harvard Applied Geometry Colloquium, Cambridge (2023).
• IEEE Quantum Systems Symposium, Tokyo (2023).
• Princeton Institute for Advanced Study, (2022) – “Topology and Quantum Cohesion in Riemannian Phase Spaces.”

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Teaching and Mentorship
• Instructor, MIT – Advanced Topics in Mathematical Physics (MA-856).
• Lecturer, Stanford – Quantum Systems and Geometric Electronics.
• Mentor, MIT Undergraduate Research Opportunities Program (UROP).

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Languages and Technical Skills
• Languages: English (native-level), Persian (native), German (intermediate).
• Software & Frameworks: MATLAB, COMSOL Multiphysics, Maple, TensorFlow Physics, Mathematica, LATEX.
• Analytical Domains: Differential Geometry, Topological Field Theory, Quantum Computational Dynamics.

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References

Prof. Curtis T. McMullen – Harvard University (FIELDS MEDAL)
Prof. Leonard Susskind – Stanford University
Prof. Edward Witten – Institute for Advanced Study, Princeton
Supervisors: Curtis T. McMullen Awarded Fields Medal for complex dynamics work.
Phone: +441223337733
Address: https://www.google.com/maps/place/University+Road+Cambridge+MA+02138+US