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| Baik, Jinho | |
|---|---|
| Name | Baik, Jinho |
| Birth date | 1957 |
| Birth place | South Korea |
| Fields | Mathematics, Probability, Combinatorics, Mathematical Physics |
| Workplaces | Seoul National University, University of Michigan, Duke University |
| Alma mater | Seoul National University, University of California, Berkeley |
| Doctoral advisor | K. Johansson |
| Known for | Baik–Deift–Johansson transition, Random matrix theory, Longest increasing subsequence |
Baik, Jinho is a South Korean mathematician noted for pioneering work connecting random matrix theory, probability, and combinatorics. He gained international recognition for joint results establishing distributional limits in problems such as the longest increasing subsequence, linking asymptotic behavior to integrable systems and special functions. His research has influenced studies across mathematical physics, representation theory, and statistical mechanics.
Baik was born in South Korea in 1957 and completed undergraduate studies at Seoul National University. He pursued graduate study in the United States, earning a Ph.D. in mathematics from the University of California, Berkeley. During his doctoral training he worked on problems related to probability and statistical mechanics, interacting with researchers in the communities around Stanford University, Princeton University, and the Mathematical Sciences Research Institute. His early mentors and collaborators included figures active in random matrix theory and integrable systems linked to institutions such as Courant Institute and Institute for Advanced Study.
Baik held faculty appointments at several universities, notably serving on the faculty of Seoul National University before taking positions abroad at institutions including the University of Michigan and Duke University. He spent research visits at centers like the Institute for Advanced Study, the Fields Institute, and the Banff International Research Station. Baik also participated in programs at the Kavli Institute for Theoretical Physics and contributed to workshops organized by the American Mathematical Society and the International Congress of Mathematicians. He supervised doctoral students who later joined faculties at universities such as KAIST, POSTECH, and Yonsei University.
Baik is best known for the Baik–Deift–Johansson result linking the distribution of the longest increasing subsequence in random permutations to the Tracy–Widom distribution from random matrix theory. This work established connections between combinatorial models like the Ulam problem and integrable structures appearing in the Gaussian Unitary Ensemble and Painlevé equations. Baik contributed to asymptotic analysis using Riemann–Hilbert methods associated with researchers at Rutgers University and New York University's Courant Institute. His research expanded to include last passage percolation models related to the Kardar–Parisi–Zhang equation and connections to representation-theoretic objects such as Schur measures and symmetric functions studied at institutions like Cambridge University and École Normale Supérieure. Collaborations with mathematicians including Percy Deift, Craig Tracy, and Harold Widom linked Baik's work to developments in integrable probability, orthogonal polynomial theory, and asymptotic combinatorics. His contributions influenced later studies at centers like Princeton University and Bonn addressing universality classes, fluctuation theorems, and connections to random growth models.
Baik's influential papers include the landmark joint article on the distribution of the longest increasing subsequence, follow-up works on discrete orthogonal polynomial ensembles, and studies on growth models and determinantal point processes. He published in journals such as the Annals of Mathematics, Communications in Mathematical Physics, and Duke Mathematical Journal, and presented at conferences like the International Congress of Mathematicians and workshops at the Simons Center for Geometry and Physics. Selected works have been cited alongside foundational texts by authors affiliated with Cambridge University Press and Springer monographs on random matrices and integrable systems.
Baik has received recognition from national and international bodies, including honors from the Korean Mathematical Society and invitations to lecture at venues such as the Institute for Advanced Study and the Fields Institute. His work on asymptotic combinatorics and random matrices has been highlighted in award citations alongside prominent mathematicians associated with the American Mathematical Society and the National Academy of Sciences symposia. He has been invited as a plenary or invited speaker at meetings organized by the European Mathematical Society and the International Congress of Mathematicians-related events.
Baik's legacy lies in forging enduring links between combinatorics, probability, and mathematical physics, influencing subsequent generations working on universality, integrable probability, and stochastic growth phenomena. His mentees and collaborators have continued research at institutions such as MIT, Harvard University, University of Chicago, and Columbia University, propagating themes introduced by his work into contemporary studies on random interfaces, spectral theory, and algebraic combinatorics. Baik's results remain central in courses and seminars at departments including Seoul National University and research centers like the Korea Institute for Advanced Study.
Category:South Korean mathematicians Category:Probability theorists Category:Random matrix theory