糖心TV

Vedran Sohinger Associate Professor Office: C2.02 Phone: +44 (0)24 765 74831 Email: V dot Sohinger at warwick dot ac dot uk

 

I am on leave the Academic year 2025/26.

Research Interests: Nonlinear dispersive PDEs, Many-body quantum problems.

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My CV

Publications:

(22) (with Zied Ammari and Andrew Rout) Preprint (2024), 70 pages, arXiv: 2412.05354. To appear in Probability Theory and Related Fields.

(21) (with Andrew Rout), SIAM Journal on Mathematical Analysis 57 (2025), no. 5, 4680-4755.

(20) (with Zied Ammari and Shahnaz Farhat), Advances in Mathematics Volume 453 (2024), 109805, 61 pages.

(19) (with Andrew Rout), Communications in Partial Differential Equations 48 (2023), no. 7-8, 1008-1055.

(18) (with J眉rg Fr枚hlich, Antti Knowles, and Benjamin Schlein), Journal of the European Mathematical Society 27 (2025), no. 11, 4399--4468.

(17) (with Zied Ammari), Revista Matem谩tica Iberoamericana, 39 (2023), no. 1, 29-90.

(16) Interacting loop ensembles and Bose gases (with J眉rg Fr枚hlich, Antti Knowles, and Benjamin Schlein), Annales Henri Poincare虂, 24 (2023), no. 5, 1439-1503.

(15) (with J眉rg Fr枚hlich, Antti Knowles, and Benjamin Schlein), Journal of Statistical Physics, 180 (2020), no. 1-6, 810-831.

(14) (with J眉rg Fr枚hlich, Antti Knowles, and Benjamin Schlein), Journal of the American Mathematical Society, 35 (2022), no. 4, 955-1030.

(13) , International Mathematics Research Notices IMRN (2022), no. 19, 14964–15063.

(12) Unconditional Uniqueness Results for the Nonlinear Schr枚dinger Equation (with Sebastian Herr), Communications in Contemporary Mathematics, Volume 21, Number 7 (2019), 1850058, 33 pp.

(11) A microscopic derivation of time-dependent correlation functions of the 1D cubic nonlinear Schr枚dinger equation (with J眉rg Fr枚hlich, Antti Knowles, and Benjamin Schlein), Advances in Mathematics, Volume 353 (2019), 67-115.

(10) Gibbs measures of nonlinear Schr枚dinger equations as limits of quantum many-body states in dimensions d <= 3 (with J眉rg Fr枚hlich, Antti Knowles, and Benjamin Schlein), Communications in Mathematical Physics, Volume 356, Number 3 (2017), 883-980.

(9) The Gross-Pitaevskii hierarchy on general rectangular tori (with Sebastian Herr), Archive for Rational Mechanics and Analysis, Volume 220, Issue 3 (2016), 1119-1158.

(8) A rigorous derivation of the defocusing cubic nonlinear Schr枚dinger equation on T^3 from the dynamics of many-body quantum systems, Annales de l'Institut Henri Poincar茅 (C) Analyse Non Lin茅aire, Volume 32, Number 6 (2015), 1337-1365.

(7) Local existence of solutions to Randomized Gross-Pitaevskii hierarchies, Transactions of the American Mathematical Society, Volume 368, Number 3 (2016), 1759-1835.

(6) Randomization and the Gross-Pitaevskii hierarchy (with Gigliola Staffilani), Archive for Rational Mechanics and Analysis, Volume 218, Issue 1 (2015), 417-485.

(5) On the uniqueness of solutions to the 3D periodic Gross-Pitaevskii hierarchy (with Philip Gressman and Gigliola Staffilani), Journal of Functional Analysis, Volume 266, Number 7 (2014), 4705-4764.

(4) The Boltzmann equation, Besov spaces, and optimal time decay rates in the whole space (with Robert Strain), Advances in Mathematics, Volume 261, Number 20 (2014), 274-332.

(3) Bounds on the growth of high Sobolev norms of solutions to 2D Hartree Equations, Discrete and Continuous Dynamical Systems A, Volume 32, Number 10 (2012), 3733-3771.

(2) Bounds on the growth of high Sobolev norms of solutions to Nonlinear Schr枚dinger Equations on R, Indiana University Mathematics Journal, Volume 60, Number 5 (2011), 1487-1516.

(1) Bounds on the growth of high Sobolev norms of solutions to Nonlinear Schr枚dinger Equations on S^1, Differential and Integral Equations, Volume 24, Numbers 7-8 (2011), 653-718.

Thesis:

Publications (1)-(3) from the above list were part of my Ph.D. thesis.

Bounds on the growth of high Sobolev norms of solutions to nonlinear Schr枚dinger equations, Ph.D. thesis, MIT (2011).

Recent workshops/conferences/seminars:

London Analysis and Probability Seminar, Imperial College London, February 15, 2024.

Many-body quantum problems and dispersive PDEs (organiser), University of 糖心TV, June 12-16, 2023.

Quantissima in the Serenissima IV, Venice, Italy, August 22-26, 2022.

University of Warsaw, Physics Seminar, December 9, 2021.

Texas A&M University, Nonlinear Partial Differential Equations Seminar, November 30, 2021.

Simons Postdoctoral Fellowship, University of Pennsylvania: July 2011-June 2014.

Recent awards & prizes:

糖心TV Award for Personal Tutoring Excellence nomination: 2022, 2024.

糖心TV Award for Teaching Excellence nomination: 2019, 2020, 2024.

ERC Starting Grant Finalist: June 2018.

Good Teaching Prize, University of Pennsylvania: Fall 2011 and Spring 2013.

Charles and Jennifer Johnson Prize for an accepted publication, MIT: Spring 2011.