

I am
a
Professor in the Department of
Mathematics at University of
Rochester. Prior to coming
to Rochester, I served as a Tamarkin Assistant Professor at Brown University. I received my Ph.D. in Mathematics from
University of Maryland – College Park in 2012. Here is my CV. 

Courses
Award & Grants
·
Simons Fellowship
2022 – 2023 ·
NSF DMS2005469 2020 – present. ·
Dean’s Office Research Fund 2019 – present. ·
NSF DMS1464869 2015 – 2019. ·
AMSSimons Travel Grant 2013  2015. 

Research Publications and Preprints
(My papers can be
found on arXiv. Here is my Google
Scholar page.)
29. (with Jiahao Wu and Zhifei Zhang) The Second Order 2D Behaviors of a 3D Bose Gases in the
GrossPitaevskii Regime, arXiv:2401.15540, 142pp. 28. (with Justin Holmer) The Derivation of the Boltzmann
Equation from Quantum Manybody Dynamics, arXiv:2312.08239, 106pp. 27. (with Shunlin Shen and Zhifei Zhang) Sharp
Global Wellposedness and Scattering of the Boltzmann Equation, arXiv:2311.02008, 42pp, submitted. 26. (with Shunlin Shen and Zhifei Zhang)
Well/Illposedness of the Boltzmann Equation with Soft Potential, arXiv:2310.05042, 47pp, submitted. 25. (with Shunlin Shen and Zhifei Zhang) On the
meanfield and semiclassical limit from quantum Nbody dynamics, arXiv:2304.03447, 40pp, submitted. 24. (with Shunlin Shen and Zhifei Zhang)
Quantitative derivation of the EulerPoisson equation from quantum manybody
dynamics, Peking Mathematical
Journal, 69pp. DOI: 10.1007/s42543023000655. 23. (with Justin Holmer) Well/illposedness bifurcation for
the Boltzmann equation with constant collision kernel, arXiv:2206.11931, 31pp, submitted. 22. (with Shunlin Shen, Jiahao Wu, and Zhifei
Zhang) The derivation of the compressible Euler equation from quantum
manybody dynamics, Peking
Mathematical Journal, 56pp. DOI: 10.1007/s42543023000664. 21. (with Shunlin Shen and Zhifei Zhang) The
unconditional uniqueness for the energysupercritical NLS, Annals of PDE 8 (2022), Article 14,
182. DOI: 10.1007/s40818022001309. 20. (with Justin Holmer) Quantitative Derivation and
Scattering of the 3D Cubic NLS in the Energy Space, Annals of PDE 8 (2022), Article 11,
139. DOI: 10.1007/s40818022001265. 19. (with Justin Holmer) The
Unconditional Uniqueness for the Energycritical Nonlinear Schrödinger
Equation on T^4, Forum of Mathematics, Pi 10 (2022),
Article e3 149. DOI: 10.1017/fmp.2021.16. 18. (with Justin Holmer) The
Derivation of the Energycritical NLS from Quantum Manybody Dynamics,Inventiones Mathematicae 217 (2019), no. 2, 433547. DOI: 10.1007/s00222019008683. 17. (with Justin Holmer) The
Rigorous Derivation of the 2D Cubic Focusing NLS from Quantum Manybody Evolution, International
Mathematics Research Notices, 2017,
no. 14, 4173–4216. DOI: 10.1093/imrn/rnw113. 16. (with Justin Holmer) Focusing
Quantum Manybody Dynamics II: The Rigorous Derivation of the 1D Focusing
Cubic Nonlinear Schrödinger Equation from 3D, Analysis & PDE 10 (2017), no. 3, 589633. DOI: 10.2140/apde.2017.10.589. 15. (with Justin Holmer) Correlation
structures, Manybody Scattering Processes and the Derivation of the
GrossPitaevskii Hierarchy, International Mathematics Research Notices 2016, no. 10, 30513110. DOI: 10.1093/imrn/rnv228 14. (with Justin Holmer) On the
KlainermanMachedon Conjecture of the Quantum BBGKY Hierarchy with
Selfinteraction, Journal of
the European Mathematical Society 18 (2016), no. 6, 11611200.
DOI: 10.4171/JEMS/610. 13. (with Justin Holmer) Focusing
Quantum Manybody Dynamics: The Rigorous Derivation of the 1D Focusing Cubic
Nonlinear Schrödinger Equation,
Archive for Rational Mechanics and
Analysis 221 (2016), no. 2,
631676. DOI: 10.1007/s0020501609706. 12. (with
Walter Strauss) Convergence to Equilibrium of a Body Moving in a Kinetic Sea, SIAM Journal
on Mathematical Analysis 47 (2015), no. 6, 46304651. DOI: 10.1137/15M1035549. 11. (with Yan Guo) On
the Weak Coupling Limit of Quantum Manybody Dynamics and the Quantum
Boltzmann Equation, Kinetics and Related Models 8 (2015), no.
3, 443465. DOI: 10.3934/krm.2015.8.443. 10. (with
Walter Strauss) Velocity Reversal Criterion of a Body Immersed in a Sea of
Particles, Communications in Mathematical Physics 338 (2015), no. 1,
139168. DOI: 10.1007/s002200152368y 9.
(with Paul Smith) On the Unconditional Uniqueness of Solutions to the Infinite
Radial ChernSimonsSchrödinger Hierarchy, Analysis
& PDE 7 (2014), no. 7,
16831712. DOI: 10.2140/apde.2014.7.1683. 8.
(with Walter Strauss)
Approach to Equilibrium of a Body Colliding Specularly and Diffusely with a
Sea of Particles, Archive for Rational Mechanics and
Analysis 211 (2014), no. 3, 879910. DOI: 10.1007/s002050130675z. 7.
(with Justin Holmer) On
the Rigorous Derivation of the 2D Cubic Nonlinear Schrödinger Equation from
3D Quantum ManyBody Dynamics, Archive for Rational Mechanics and Analysis 210
(2013), no. 3, 909954. DOI: 10.1007/s002050130667z. 6.
On
the Rigorous Derivation of the 3D Cubic Nonlinear Schrödinger Equation with A
Quadratic Trap, Archive for Rational Mechanics and
Analysis 210 (2013), no. 2,
365408. DOI: 10.1007/s0020501306455. 5.
Collapsing
Estimates and the Rigorous Derivation of the 2d Cubic Nonlinear Schrödinger
Equation with Anisotropic Switchable Quadratic Traps, Journal de Mathématiques Pures et Appliquées 98 (2012), no. 5, 450478. DOI: 10.1016/j.matpur.2012.02.003. 4.
Second Order Corrections to Mean Field
Evolution for Weakly Interacting Bosons in the Case of Threebody
Interactions, Archive for Rational Mechanics and
Analysis 203 (2012), no. 2, 455497. DOI: 10.1007/s0020501104538. 3.
Elementary Proofs for Kato Smoothing Estimates
of SchrödingerLike Dispersive Equations, Contemporary Mathematics 581
(2012), 6368. DOI: 10.1090/conm/581/11487. 2.
Classical Proofs of Kato Type Smoothing
Estimates for the Schrödinger Equation with Quadratic Potential in Rⁿ⁺¹
with Application, Differential and Integral Equations 24 (2011), no. 34, 209230. pdf
1.
(with YanPing Xiao, MeiMei Lai, JiXuan Hou,
and QuanHui Liu) A
Secondary Operator Ordering Problem for a Charged Rigid Planar Rotator in
Uniform Magnetic Field, Communication
of Theoretical Physics, 44
(2005), no. 1, 4950. DOI:
10.1088/6102/44/1/49. Selected Invited Talks or Visits
36. Aug. 30th,
2023, Special Lectures for Top Global University Project, Waseda University,
Tokyo, Japan. 35. Jun. 9th,
2023, IMS PDE Seminar, the Institute of Mathematical Sciences, Chinese
University of Hongkong. 34. Apr. 25th,
2023, MiniWorkshop on Nonlinear Analysis, Tohoku University, Sendai, Japan. 33. Apr. 21st,
2023, NLPDE seminar, Kyoto University, Kyoto, Japan. 32. Mar. 22nd,
2023, Colloquia, Morningside Center of Mathematics, Chinese Academy of
Sciences, Beijing, China. 31. Mar. 7th,
2023, Colloquia, Academy of Mathematics and Systems Science, Chinese Academy
of Science, Beijing, China. 30. Dec. 14th,
2022, Colloquium, Peking University, Beijing, China. 29. Nov. 14th,
2022, Analysis Seminar, University of Texas, Austin, TX. 28. Apr. 11th, 2022,
Analysis and Geometric Analysis Seminar, Cornell University, Ithaca, NY. 27. Dec. 12th,
2019, Colloquium, University of Melbourne, Melbourne, Australia. 26. Mar. 28th,
2019, Random Matrices and Probability Seminar, Harvard University, Cambridge,
MA. 25. Feb. 1st,
2019, Colloquium, Nagoya University, Nagoya, Japan 24. Sep. 28th,
2018, Analysis Seminar, University of Texas, Austin, TX. 23. Nov. 30th to
Dec 4th, 2016 University of Illinois, UrbanaChampaign, IL. 22. Oct. 28th,
2016, Colloquium, Georgetown University, DC. 21. July. 11th
to July 22nd, Applied Math Summer School of Peiking University, Beijing,
China. 20. Apr. 13th,
2016, Colloquium, University of Maryland, College Park, MD. 19. Mar. 10th,
2016, Analysis Seminar, University of Illinois, UrbanaChampaign, IL. 18. Dec. 2015, SIAM
Conference on Analysis of Partial Differential Equations, Scottsdale, AZ. 17. Nov. 20th,
2015, Analysis Seminar, University of Toronto, Toronto, Canada. 16. Nov. 2nd,
2015, International Conference on Nonlinear Analysis in Honor of TaiPing
Liu's 70th Birthday, Academia Sinica, Taiwan. 15. Dec. 10th,
2014, BU/Brown PDE Seminar, Boston University, Boston, MA. 14. Nov. 17th,
2014, Analysis Seminar, Princeton University, Princeton, NJ. 13. Nov. 14th,
2014, Analysis and PDE Seminar, University of California, Los Angeles, CA. 12. Oct. 13th,
2014, University of Wisconsin, Madison, WI. 11. Oct. 7th,
2014, PDE Seminar, Georgia Tech, Atlanta, GA. 10. Mar. 4th,
2014, Analysis/PDE Seminar, MIT, Cambridge, MA. 9.
Dec. 7th, 2013, 2013 SIAM Conference on
Analysis of PDE, Lake Buena Vista, FL. 8.
Oct. 10th, 2013, PDE/Applied Math Seminar,
University of Maryland, College Park, MD. 7.
Feb. 6th, 2013, Mathematical Physics &
Probability Seminar, University of California, Davis, CA. 6.
Feb. 4th, 2013, PDE/Analysis Seminar,
University of California, Berkeley, CA. 5.
May 23rd, 2012, PDE Seminar, Tsinghua
University, Beijing, China. 4.
Mar. 18th, 2012, 2012 Spring Eastern AMS
Sectional Meeting, George Washington University, Washington, DC. 3.
Jan. 17th, 2012, Harmonic Analysis and
Differential Equations Seminar, University of Illinois, Urbana, IL. 2.
Nov. 30th, 2011, Analysis Seminar, University
of Texas, Austin, TX. 1.
May 21st, 2010, Analysis Seminar, SUNY Stony
Brook, Stony Brook, NY. 