Jinyeop Lee (이진엽, 李溱燁)

Postdoc Researcher (mentor Chiara Saffirio)

Department of Mathematics

The University of British Columbia

1984 Mathematics Rd, Vancouver, BC V6T 1Z2, Canada

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Current Position 

• Postdoc (mentor Chiara Saffirio) at the Department of Mathematics, The University of British Columbia, Vancouver, Canada, Jan. 2025 - Present

Past Position 

• Postdoc (mentor Chiara Saffirio) at the Department of Mathematics and Computer Science of University of Basel, Basel, Switzerland, May 2024 - Apr. 2025

• Postdoc (mentor Phan Thành Nam) at the  Mathematisches Institut of Ludwig-Maximilians-Universität München, Munich, Germany, Apr. 2021 - Apr. 2024

• Junior Researcher at the Center for Advanced Studies der LMU München (CAS-LMU), Munich, Germany, Oct. 2022 - Apr. 2023

• Project Research Fellow (mentor Nam-Gyu Kang) at the School of Mathematics of Korea Institute of Advanced Study, Seoul, Republic of Korea, Mar. 2020 - Mar. 2021

Education 

Korea Advanced Institute of Science and Technology, Daejeon, Republic of Korea, Mar. 2013 - Feb. 2020

• Ph. D. in Mathematics (advisor Ji Oon Lee), Mar. 2016 - Feb. 2020

• M.S. in Mathematics, Mar. 2014 - Feb. 2016

• Ph.D. in Physics (incomplete), Mar. 2013 - Feb. 2014

Sogang University, Seoul, Republic of Korea, Mar. 2009 - Feb. 2013 

• B.S. in Physics and Mathematics, summa cum laude

Research Interests

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

• Probability Theory - Random Matrix Theory, Spin Glass 

• Applied Mathematics - Physics, Engineering etc.

Research Grants

• Postdoctoral Fellowship Program (Nurturing Next-generation Researchers), National Research Foundation of Korea, Sep. 2024 - Aug. 2025 

• Center for Advanced Studies der LMU München (CAS) Junior Researcher, Wintersemester 2022/23

• Research Grant from National Research Foundation of Korea, Jun. 2020 - Mar. 2021

Honors and Scholarship

• Top 2 of 2018 KAIST Ig-Nobel Prizes, Jan, 2019

• KIA Motors Scholarship, 2018

• Winner of 2017 KAIST Ig-Nobel Prizes, Jan, 2018

• Top 2 of 2016 KAIST Ig-Nobel Prizes, Dec, 2016

• Chungsoo Scholarship, 2011 - 2012

• Dean's List, School of  Natural Sciences, Sogang University, Spring 2011, Fall 2011, Spring 2012, Fall 2012

• Sogang University Honor Scholarship, Fall 2009, Spring 2010, Fall 2010

Organizing Workshop/Conference

• “New Directions in Correlated Quantum Systems”, MFO Mini-workshop 2508a, Oberwolfach, Germany, 16-21 Feb. 2025

• “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 (Session Organizer)

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

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

• “On Fermionic Quantum Systems”, CAS LMU Workshop, Munich, Germany, Jan. 2023, (Workshop Organizer)

Publications

Preprints

• Well-posedness of the periodic nonlinear Schrödinger equation with concentrated nonlinearity (with Andrew Rout)
  arXiv:2508.00594

• Quantitative derivation of the two-component Gross–Pitaevskii equation in the hard-core limit with uniform-in-time convergence rate (with Jacky Chong and Zhiwei Sun)
  arXiv:2502.18787

• Derivation of the Chern–Simons–Schrödinger equation from the dynamics of an almost-bosonic-anyon gas (with Théotime Girardot)
  arXiv:2412.13080

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

Published

• Microscopic derivation of a Schrödinger equation in dimension one with a nonlinear point interaction (with Riccardo Adami)
  Journal of Functional Analysis, 288 (10), 110866  (2025)
  doi: 10.1016/j.jfa.2025.110866 

• Exactly solvable Schrödinger operators related to the confluent equation (with Jan Dereziński)
  Milan Journal of Mathematics, 93, 109–147 (2025)

doi: 10.1007/s00032-025-00414-2

• Derivation of Vlasov equations for multi-species fermions (with Hongshuo Chen, Li Chen, and Zhiwei Sun)
  Journal of Mathematical Physics, 66 (2), 021901 (2025)

doi: 10.1063/5.0228404

• 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)
  doi: 10.1137/23M1568338

• 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)
  doi: 10.1137/23M1608215

• On the characterisation of fragmented Bose–Einstein condensation and its emergent effective evolution (with Alessandro Michelangeli)
  Nonlinearity, 36 (12), 6364–6402, (2023)
  doi: 10.1088/1361-6544/ad027a

• 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, 109 (6), (2023)
  doi: 10.1007/s10955-023-03123-5

• 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)
  doi: 10.1093/imrn/rnab310

• 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)
  doi: 10.1007/s00023-021-01103-7

• Rate of convergence towards equations of Hartree type for mixture condensates with factorized initial data
  Journal of Mathematical Physics, 62 (9),  091901, (2021)
  doi: 10.1063/5.0019679

• Combined mean-field and semiclassical limits of large fermionic systems (with Li Chen and Matthew Liew)
  Journal of Statistical Physics, 182 (24), (2021)
  doi: 10.1007/s10955-021-02700-w

• On the time dependence of the rate of convergence towards Hartree dynamics for interacting Bosons
  Journal of Statistical Physics, 176 (2), 358-381 (2019)
  doi: 10.1007/s10955-019-02303-6

• Micromechanics-based homogenization of the effective physical properties of composites with an anisotropic matrix and interfacial imperfections (with Jiyoung Jung,  Youngsoo Kim, Sangryun Lee, and Seunghwa Ryu)
  Frontiers in Materials, 6 (2019)
  doi: 10.3389/fmats.2019.00021 

• Applicability of the interface spring model for micromechanical analyses with interfacial imperfections to predict the modified exterior Eshelby tensor and effective modulus (with Youngsoo Kim, Sangryun Lee, and Seunghwa Ryu)
  Mathematics and Mechanics of Solids, 24 (9), 2944–2960 (2019)
  doi: 10.1177/1081286519826343

• Modified Eshelby tensor for an anisotropic matrix with interfacial damage (with Sangryun Lee and Seunghwa Ryu)
  Mathematics and Mechanics of Solids, 24 (6), 1749–1762 (2019)
  doi:10.1177/1081286518805521

• 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 (1), 7266 (2018)
  doi:10.1038/s41598-018-25379-8

• 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)
  doi: 10.1063/1.5003665

Proceedings, Reports and Expositions

• Mini-Workshop: New Directions in Correlated Quantum Systems (with Emanuela Giacomelli and Marius Lemm)
  Oberwolfach Reports, 22 (1), 339–374 (2025)
  doi:10.4171/OWR/2025/7

• 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)
  doi: 10.1007/978-981-99-5884-9_10

Selected Talks

Invited Talks

• “Derivation of the Chern–Simons–Schrödinger equation from the dynamics of an almost-bosonic-anyon gas”, KAIST SAARC Seminar, Deajeon, Korea, Aug. 2025

• “Derivation of the Chern–Simons–Schrödinger equation from the dynamics of an almost-bosonic-anyon gas”, KIAS Analysis, PDE & Probability Seminar, Seoul, Korea, Jul. 2025

• “From Many-Body Quantum Dynamics to Nonlinear PDEs”, SNU Probability Seminar, Seoul National University, Seoul, Korea, Jul. 2025

• “Derivation of the Chern–Simons–Schrödinger equation from the dynamics of an almost-bosonic-anyon gas”, Anyons from small to large scales, Institut Mittag-Leffler, Djursholm, Sweden Jul. 2025

• “Derivation of the Chern–Simons–Schrödinger equation from the dynamics of an almost-bosonic-anyon gas”, East-Asian Workshop on Dispersive Equations, Jeju, Korea, Jun. 2025

• “Derivation of the Vlasov equation from the fermionic many-body Schrödinger system using the Husimi measure”, International Symposium on Analysis and Quantum Physics, Tsinghua Sanya International Mathematics Forum (TSIMF) in Sanya, China, Jun. 2025

• “Derivation of the Chern–Simons–Schrödinger equation from the dynamics of an almost-bosonic-anyon gas”, Spring Time in Mathematical Quantum Physics, PIMS, Vancouver, Canada, May 2025

• “Derivation of the Chern–Simons–Schrödinger equation from the dynamics of an almost-bosonic-anyon gas”, AMS Spring Southeastern Sectional Meeting, Clemson, USA, Mar. 2025

• “On the convergence of nonlinear averaging dynamics with three-body interactions on hypergraphs”, KIAS APP Seminar, Seoul, Korea, Dec. 2024

• “Mini-courses in Mathematical Quantum Mechanics”, Yonsei University, Seoul, Korea, Dec. 2024

• “On the convergence of nonlinear averaging dynamics with three-body interactions on hypergraphs”, KIAS APP Seminar, Seoul, Korea, Dec. 2024

• “Deriving effective PDEs from many-body Schrödinger equations”, University of British Columbia, Vancouver, Canada, Nov. 2024

• “Derivation of the Vlasov equation from fermionic many-body Schrödinger systems via Husimi measure”, GSSI, L'Aquila, Italy, Sep. 2024

• “On the convergence of nonlinear averaging dynamics with three-body interactions on hypergraphs”, VIASM Summer School on Mathematical Physics in 2024, Hue, Vietnam, Aug. 2024

• “Derivation of the Vlasov equation from fermionic many-body Schrödinger systems via Husimi measure”, Mathematical Colloquium, LMU Munich, Apr. 2024

• “On the convergence of nonlinear averaging dynamics with three-body interactions on hypergraphs”, CM2LA Seminar 2024, POSTECH, Pohang, Korea, Mar. 2024

• “Deriving effective PDE from many-body Schrödinger equations”, Probability Workshop, Sokcho, Korea, Jan. 2024

• “Two-term expansion of Gibbs state reduced densities at low temperature in the Gross–Pitaevskii regime”, KIAS APP Seminar, Seoul, Korea, Jan. 2024

• “Second Order expansion of Gibbs state reduced densities at low temperature in the Gross–Pitaevskii regime”, KAIST SAARC Seminar, Deajeon, Korea, Dec. 2023

• “Derivation of the Vlasov equation from the fermionic many-body Schrödinger system using the Husimi measure” , Séminaire: Problèmes Spectraux en Physique Mathématique, Institut Henri Poincaré in Paris, Paris, France Dec. 2023

• “Second Order Expansion of Gibbs State Reduced Densities in the Gross-Pitaevskii Regime”, LMU-TUM Junior researcher Christmas seminar, LMU Munich, Munich, Dec. 2023

• “Microscopic derivation of a Schrödinger equation in dimension one with a nonlinear point interaction”, Seminar Analysis and Mathematical Physics, University of Basel, Basel, Swiss, Nov. 2023

• “Microscopic derivation of a Schrödinger equation in dimension one with a nonlinear point interaction”, KIAS APP Seminar, Seoul, Korea, Sep. 2023

• “Deriving Vlasov equation from a many-body quantum system”, 2023 International Workshop for Future Value of Mathematics and Its Applications (at Chungnam National University), Zoom, Online, Aug. 2023

• “A mixed-norm estimate of two-particle reduced density matrix of many-body Schrödinger dynamics for deriving Vlasov equation”, Workshop of Young Researchers in Mathematical Physics, Westerham, Germany, Jul. 2023

• “Uniform in Time Convergence to Bose–Einstein Condensation for a Weakly Interacting Bose Gas with an External Potential”, Analysis Seminar (at Politecnico di Torino), Turin, Italy, May 2023

• “Uniform in Time Convergence to Bose–Einstein Condensation for a Weakly Interacting Bose Gas with an External Potential”, AG seminar (at MPI-MIS), Leipzig, Germany, May 2023

• “On the characterisation of fragmented Bose–Einstein condensation and its emergent effective evolution”, GAuS-seminar, Zoom, Online, Apr. 2023

• “Deriving effective PDE from many-body Schrödinger equations”, KIAS APP Seminar, Seoul, Korea, Feb. 2023

• “Deriving effective PDE from many-body Schrödinger equations”, KAIST SAARC Seminar, Deajeon, Korea, Feb. 2023

• “Uniform in Time Convergence to Bose–Einstein Condensation for a Weakly Interacting Bose Gas with an External Potential”, Analysis Oberseminar, Bonn, Germany, Dec. 2022

• “On the characterisation of fragmented Bose–Einstein condensation and its emergent effective evolution”, KIAS Analysis Seminar, Zoom, Online, Nov. 2022

• “A mixed-norm estimate of two-particle reduced density matrix of many-body Schrödinger dynamics for deriving Vlasov equation”,, Workshop on Recent Advances in Nonlocal Kinetic, Fluid and Diffusive PDEs at Liaoning University, Zoom, Online, Nov. 2022

• CAS Lunch Talk, Munich, Germany Nov. 2022

• “Deriving effective PDEs from many-body Schrödinger equations”, Analysis Seminar, Edinburgh, UK, Oct. 2022

• “A mixed-norm estimate of two-particle reduced density matrix of many-body Schrödinger dynamics”, DMV Annual Meeting 2022, Berlin, Germany, Sep. 2022

• “A mixed-norm estimate of two-particle reduced density matrix of many-body Schrödinger dynamics”, LMU Munich, Munich, Germany, May. 2022 

• “Convergence towards the Vlasov–Poisson equation from the N-fermionic Schrödinger equation”, PDEs from Physics - Republic of Korea Air Force Academy, Online, Feb. 2022

• “Convergence towards the Vlasov–Poisson equation from the N-fermionic Schrödinger equation”, LMU Munich, Munich, Germany, Jan. 2022

• “Rate of convergence towards mean-field evolution for weakly interacting bosons with singular three-body interactions”, Research Seminar: Applied Analysis, Mannheim, Germany, Oct. 2021

• “Convergence towards the Vlasov–Poisson equation from the N-Fermionic Schrödinger equation”, KIAS Analysis Seminar, Zoom, Online, Sep. 2021

• “Convergence towards the Vlasov–Poisson equation from the N-Fermionic Schrödinger equation”, Mathematics Seminar, Ewha Womans University, Seoul, Korea, Sep. 2021

• "Time evolution of Bose–Einstein condensation in the mean-field limit", Recent progress on understanding many-body systems, Zoom Online, Jun. 2021

• “Derivation of Vlasov–Poisson system from N-fermionic Schrödinger system”, 2021 KMS Spring Meeting Meeting, Zoom, Online, April. 2021

•  “Time evolution of Bose–Einstein condensation in the mean-field limit”, SAARC Seminar, Daejeon, Korea, Apr. 2021

• “Derivation of Vlasov–Poisson system from N-fermionic Schrödinger system”, Online Seminars on PDEs and Harmonic Analysis, Zoom, Online, Mar. 2021

• “Time evolution of Bose–Einstein condensation in the mean-field limit”, Workshop on Quantum Analysis, Pyeongchang, Korea, Aug. 2020

• “Investigating the stability of Bose–Einstein condensation using dispersive estimates”, 2020 KMS Spring Meeting Meeting, Zoom, Online, Jul. 2020

• “Combined mean-field and semiclassical limits of large fermionic system” 2020 KMS Spring Meeting Meeting, Zoom, Online, Jul. 2020

• “Rate of convergence towards equations of Hartree type for mixture condensates with factorized initial data” KIAS Analysis Seminar, Seoul, Korea, Feb. 2020

• “Investigating the stability of Bose–Einstein condensation using dispersive estimates”, Workshop on Harmonic Analysis Techniques for PDEs, Jeonju, Korea, Dec. 2019

• “Rate of convergence towards Hartree dynamics”, Mathematics Seminar, Mannheim, Germany, Jul. 2019

• “Rate of convergence towards Hartree dynamics”, KIAS Analysis Seminar, Seoul, Korea, Dec. 2018

• “Rate of convergence towards Hartree dynamics with singular interaction potential”, Workshop for Analysis & PDE students in Korea, Seoul, Korea, Jul. 2018

• “Brief introduction to quantum mechanics for math students”, Madmatics Seminar, Seoul, Korea, Aug. 2016

Contributed Talks

• “On the convergence of nonlinear averaging dynamics with three-body interactions on hypergraphs”, Venice 2024 - Quantissima in the Serenissima V, Venice, Italy, Aug. 2024

• “Combined mean-field and semiclassical limit to Vlassov-Poisson equation from many fermions”, Venice 2022 - Quantissima in the Serenissima IV, Venice, Italy, Aug. 2022

• “Uniform in time convergence to Bose–Einstein condensation for a weakly interacting Bose gas with external potentials”, Venice 2022 - Quantissima in the Serenissima IV, Venice, Italy, Aug. 2022

• “Convergence towards the Vlasov–Poisson equation from the N-fermionic Schrödinger equation”, IQM22, Milan, Italy, Mar. 2022

• “Rate of convergence towards mean-field evolution for weakly interacting bosons with singular three-body interactions”, Summer School on Current Topics in Mathematical Physics, Zurich, Switzerland, Jul. 2021

• “Rate of convergence towards mean-field evolution for weakly interacting bosons with singular three-body interactions”, 2020 KMS Annual Meeting, Zoom, Online, Oct. 2020

• "Recent developments on the rate of convergence towards Hartree equations", Harmonic Analysis Workshop in SNU, Zoom, Online, Aug. 2020

• "Rate of convergence towards equations of Hartree type for mixture condensates with factorized initial data", 2019 KMS Annual Meeting, Seoul, Korea, Oct. 2019

• "On the time dependence of the rate of convergence towards Hartree dynamics for interacting Bosons", 2019 KMS Spring Meeting, Chooncheon, Korea, May, 2019

• “Rate of Convergence towards Hartree Dynamics with Singular Interaction Potential”, YRS, Montreal, Canada, Jul. 2018

• “Rate of Convergence towards Hartree Dynamics with Singular Interaction Potential”, Mathematical Challenges in Quantum Mechanics 2018, Rome, Italy, Feb. 2018

• “Rate of Convergence towards Hartree Dynamics with Singular Interaction Potential” in Analysis Session, 2017 KMS Annual Meeting, Cheonan, Korea, Oct. 2017

Poster

• “Convergence towards the Vlasov–Poisson equation from the N-fermionic Schrödinger equation”, When Kinetic Theory meets Fluid Mechanics, Zurich, Switzerland, Jul. 2022

• “On the time dependence of the rate of convergence towards Hartree dynamics for interacting bosons”, Harmonic Analysis, Stochastics and PDEs, Edinburgh, UK, Jun. 2022

• “Real eigenvalues of elliptic random matrices”, CIRM Conference Random Tensors, CIRM, France, Mar. 2022

• “Real eigenvalues of elliptic random matrices”, XVII Brunel - Bielefeld Workshop, Zoom, Online, Dec. 2021

• “Rate of convergence towards mean-field evolution for weakly interacting bosons with singular three-body interactions”, ICMP 2021, Geneva, Switzerland, Aug. 2021

• “Rate of convergence towards equations of Hartree type for mixture condensates with factorized initial data”, Applications of Bogoliubov Theory, Zoom, Online, Jun. 2020

• “Oil Drop is Floating”, KAIST Ig-Nobel Prizes, Deajeon, Korea, Jan. 2019

• “Rate of Convergence towards Hartree Dynamics with Singular Interaction Potential”, ICMP 2018,  Montreal, Canada, Jul. 2018

• “Color of Nature", KAIST Ig-Nobel Prizes, Deajeon, Korea, Jan. 2018 (with Gi-Hyun Go)

• "Physics of Cheating", KAIST Ig-Nobel Prizes, Deajeon, Korea, Dec. 2016 (with Sangeun Han, Sangjin Lee)

Referee/Reviewer

• Analysis and Mathematical Physics (AMP)

• Annales Henri Poincaré (AHP)

• Mathematical Reviews (AMS)

• SIAM Journal on Mathematical Analysis (SIMA)
  
  

Teaching Experience

Teaching Assistant, University of Basel

• Funktionentheorie und Vektoranalysis (in English), Autumn 2024 

Teaching Assistant, LMU Munich

• Numerical Mathematics II (in English), Summer 2022

• Numerical Mathematics I (in English), Winter 2021/2022

• Numerical Mathematics II (in English), Summer 2021

Lecturer, KAIST

• LaTeX, Fall 2020

Grading Assistant, KAIST

• MAS651, Stochastic Process, Spring 2018

• MAS540, Real Analysis, Spring 2017

• MAS550, Probability Theory, Fall 2016

• MAS540, Real Analysis, Spring 2016

Teaching Assistant, KAIST

• CC500, Scientific Writing, Fall 2018

• MAS109, Introduction to Linear Algebra, Fall 2015

• SAT Physics (in English), May 2015

• MAS102, Calculus II (in English), Spring 2015

• MAS109, Introduction to Linear Algebra, Fall 2014

• PH142, General Physics II, Fall 2013

• PH141, General Physics I, Spring 2013

Teaching Assistant, Sogang University

• Math Study Center, 2010 - 2012

Working Experience

• Computer system manager, department of mathematical sciences, KAIST, Mar. 2016 - Feb. 2020

Personal Information

• Date of Birth: 11th of April, 1989. (Incheon, Republic of Korea)

• Citizenship: Republic of Korea (South Korea)

• Languages:  Korean (native), English (fluent), German (basic), Italian (posso dire “scusa ho rotto un bicchiere”)

Last update at 3rd September 2025