I am working in probability and mathematical physics. My research interests include: Kardar-Parisi-Zhang universality, interacting particle systems, random growth models, non-intersecting paths, orthogonal polynomials and related problems.

My research has been supported by KU Start up funding, KU New Faculty Research Grant, Simons Collaboration Grant No. 637861, and NSF DMS-1953687.

Publications (google scholar, arXiv)

• Limiting one-point distribution of periodic TASEP , with Jinho Baik and Guilherme Silva.

• accepted by Ann. Inst. H. Poincaré B, arXiv:2008.07024. PDF.

• Periodic TASEP with general initial conditions, with Jinho Baik.

• Probab. Theory Related Fields . 179:1047–1144, 2021. PDF.

• Multi-time distribution of TASEP

• submitted, arXiv:1907.09876. PDF.

• Integral formulas of ASEP and q-TAZRP on a ring, with Axel Saenz and Dong Wang.

• Commun. Math. Phys. 379: 261–325, 2020. PDF.

• Multi-point distribution of periodic TASEP, with Jinho Baik.

• J. Amer. Math. Soc., 32: 609-674, 2019. PDF.

• Height fluctuations of stationary TASEP on a ring in relaxation time scale

• Ann. Inst. H. Poincaré B, Volume 54, Number 2, 1031-1057, 2018. PDF.

• TASEP on a ring in sub-relaxation time scale, with Jinho Baik.

• J. Stat. Phys., 165: 1051–1085, 2016. PDF.

• Fluctuations of TASEP on a ring in relaxation time scale, with Jinho Baik.

• Comm. Pure Appl. Math., Vol. 71, Issue 4, 747-813, 2018. PDF.

• Fluctuations of TASEP and LPP with general initial data, with Ivan Corwin and Dong Wang.

• Ann. Appl. Probab., Vol. 26, Number 4, 2030-2082, 2016. PDF.

• Discrete Toeplitz determinants and their applications

• PhD dissertation. May 2014, PDF.

• On the average of the Airy process and its time reversal, with Jinho Baik.

• Electron. Commun. Probab., 18, no.89, 1-10, 2013. PDF.

• Discrete Toeplitz/Hankel determinants and the width of non-intersecting processes, with Jinho Baik.

• Int. Math. Res. Not., Vol. 2014, Issue 20, 5737–5768, 2014. PDF.

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