Jinyeop Lee

Jinyeop Lee (이진엽, 李溱燁)

Postdoc Researcher at University of Basel (mentor Chiara Saffirio)

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Current Position 

• Postdoc (mentor Chiara Saffirio) at the Department of Mathematics and Computer Science of University of Basel, Basel, Switzerland, May 2024 - Present

Research Interests

• Mathematical Physics - Quantum and Statistical Physics, Bose-Einstein Condensation, Large Fermion System

• Probability Theory - Random Matrix Theory, Spin Glass 

• Applied Mathematics - physics, engineering etc.

Organizing workshop/conference

• (upcoming) “New Directions in Correlated Quantum Systems”, MFO Mini-workshop 2508a, Oberwolfach, Germany, Feb. 2025 (Workshop Organizer)

• “Mini-Workshop on Condensed Matter Physics", Garmisch, Germany, 10-12 Oct. 2024 (Workshop Organizer)

• “Collective Phenomena of Fermionic Systems”, Mini-Symposia at 9th European Congress of Mathematics (9ECM), Sevilla, Spain, 15-19 Jul. 2024

• “Frontiers in Analysis and Mathematical Physics”, Seoul, Korea, 8-12 Apr. 2024

• “Mini-workshop for Young Researchers on Analysis and Mathematical Physics”, Seoul, Korea, 18-20 Sep. 2023

• “On Fermionic Quantum Systems”, CAS-LMU Workshop, Munich, Germany, 23-24 Jan. 2023

Publications

Preprints

• Exactly solvable Schrödinger operators related to the confluent equation (with Jan Dereziński)
  arXiv:2409.14994 (preprint)

• Derivation of Vlasov equations for multi-species fermions (with Hongshuo Chen, Li Chen, and Zhiwei Sun)
  arXiv:2312.01075 (preprint)

• Microscopic derivation of a Schrödinger equation in dimension one with a nonlinear point interaction (with Riccardo Adami)
  arXiv:2308.09674 (preprint)

• Rate of convergence towards mean-field evolution for weakly interacting bosons with singular three-body interactions
  arXiv:2006.13040 (preprint)

Published

• On the convergence of nonlinear averaging dynamics with three-body interactions on hypergraphs (with Emilio Cruciani and Emanuela L. Giacomelli)
  SIAM Journal on Applied Dynamical Systems, 23 (3), 2364-2406 (2024) (link, preprint)

• Second order expansion of Gibbs state reduced densities in the Gross-Pitaevskii regime (with Christian Brennecke and Phan Thành Nam)
  SIAM Journal on Mathematical Analysis, 56 (4), 5262-5284 (2024) (link, preprint)

• Uniform in time convergence to Bose–Einstein condensation for a weakly interacting Bose gas with an external potential (with Charlotte Dietze)
  Springer INdAM Series vol 58: Quantum Mathematics II (2023) (link, preprint)

• On the characterisation of fragmented Bose-Einstein condensation and its emergent effective evolution (with Alessandro Michelangeli)
  Nonlinearity, 36 (12), 6364–6402 (2023) (link, preprint)

• A mixed-norm estimate of two-particle reduced density matrix of many-body Schrödinger dynamics (with Li Chen, Yue Li, and Matthew Liew)
  Journal of Statistical Physics, 190 (6), 109 (2023) (link, preprint)

• Real eigenvalues of elliptic random matrices (with Sung-Soo Byun, Nam-Gyu Kang, and Ji Oon Lee)
  International Mathematics Research Notices, 2023 (3), 2243–2280, (2023) (link, preprint)

• Convergence towards the Vlasov-Poisson equation from the N-fermionic Schrödinger equation (with Li Chen and Matthew Liew)
  Annales Henri Poincaré, 23 (2), 555–593, (2022) (link, preprint)

• Rate of convergence towards equations of Hartree type for mixture condensates with factorized initial data
  Journal of Mathematical Physics, 62 (9),  091901, (2021) (link,  preprint)

• Combined mean-field and semiclassical limits of large fermionic systems (with Li Chen and Matthew Liew)
  Journal of Statistical Physics, 182 (24), (2021) (link, preprint)

• On the time dependence of the rate of convergence towards Hartree dynamics for interacting Bosons
  Journal of Statistical Physics, 176 (2), 358-381 (2019)  (link, preprint)

• Micromechanics-based homogenization of the effective physical properties of composites with an anisotropic matrix and interfacial imperfections (with Seunghwa Ryu, Sangryun Lee, Jiyoung Jung, and Youngsoo Kim)
  Frontiers in Materials, 6, (2019) (link, preprint)

• Applicability of the interface spring model for micromechanical analyses with interfacial imperfections to predict the modified exterior Eshelby tensor and effective modulus (with Sangryun Lee, Youngsoo Kim, and Seunghwa Ryu)
  Mathematics and Mechanics of Solids, 24 (9), (2019) (link, preprint)

• Modified Eshelby tensor for an anisotropic matrix with interfacial damage (with Sangryun Lee and Seunghwa Ryu)
  Mathematics and Mechanics of Solids, 24 (6), (2019) (link, preprint)

• A micromechanics-based analytical solution for the effective thermal conductivity of composites with orthotropic matrices and interfacial thermal resistance (with Sangryun Lee, Byungki Ryu, and Seunghwa Ryu),
  Scientific Reports, 8, 7266 (2018) (link, preprint)

• Rate of convergence towards Hartree dynamics with singular interaction potential (with Li Chen and Ji Oon Lee)
  Journal of Mathematical Physics, 59 (3), 031902 (2018) (link, preprint)

Curriculum Vitae

• Curriculum vitae