E-Mail:

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### PERSONAL

- Born in Zagreb, Croatia 1983. Croatian Citizen.
### EDUCATION

- Massachusetts Institute of Technology, Ph.D. in Mathematics, June 2011.
- Advisor: Gigliola Staffilani.
- Thesis Title: Bounds on the growth of high Sobolev norms of solutions to Nonlinear Schrödinger equations.
- University of California Berkeley, B.A. in Mathematics with Highest Honors, May 2006.
- University of Zagreb, Mathematics Department, Fall 2002–Spring 2003.
### EMPLOYMENT

- Universität Zürich, Postdoctoral researcher, starting September 2016.
- Advisor: Benjamin Schlein.
- Eidgenössische Technische Hochschule Zürich, Postdoctoral researcher, September 2014–August 2016. Advisor: Antti Knowles.
- Mathematical Sciences Research Institute, Berkeley, CA, USA, research member September–October 2015.
- University of Pennsylvania, Simons Postdoctoral Fellow, 2011-2014.
- Advisor: Philip Gressman and Robert Strain.
- Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany, visitor, January–February 2012. Host: Felix Otto.
### PUBLICATIONS

#### Thesis

- Bounds on the growth of high Sobolev norms of solutions to nonlinear Schrödinger equations, Ph.D. Thesis, MIT (2011). Advisor: Gigliola Staffilani.
- Vedran Sohinger
#### Papers

- 1) Bounds on the growth of high Sobolev norms of solutions to Nonlinear Schrödinger equations on S1, Differential and Integral equations, 34 (2011), no. 7-8, 653–718.
- 2) Bounds on the growth of high Sobolev norms of solutions to Nonlinear Schrödinger equations on R, Indiana University Mathematics Journal, 60 (2011), no. 5, 1487–1516.
- 3) Bounds on the growth of high Sobolev norms of solutions to 2D Hartree equations, Discrete and Continuous Dynamical Systems A, 32 (2012), no. 10, 3733–3771.
- 4) The Boltzmann equation, Besov spaces, and optimal time decay rates in the whole space (with Robert Strain), Advances in Mathematics, 261 (2014), no. 20, 274–332.
- 5) On the uniqueness of solutions to the 3D periodic Gross-Pitaevskii hierarchy (with Philip Gressman and Gigliola Staffilani), Journal of Functional Analysis, 266 (2014), no. 7, 4705–4764.
- 6) Randomization and the Gross-Pitaevskii hierarchy (with Gigliola Staffilani), Archive for Rational Mechanics and Analysis, 218 (2015), no. 1, 417–485.
- 7) Local existence of solutions to Randomized Gross-Pitaevskii hierarchies, Transactions of the American Math- ematical Society, 368 (2016), no. 3, 1759–1835.
- 8) A rigorous derivation of the defocusing nonlinear Schrödinger equation on T3 from the dynamics of many-body quantum systems, Annales d l’Institut Henri Poincaré C, Analyse Non-Linéaire, 32 (2015), no. 6, 1337– 1365.
- 9) The Gross-Pitaevskii hierarchy on general rectangular tori (with Sebastian Herr), Archive for Rational Mechanics and Analysis, 220 (2016), no. 3, 1119–1158.
- 10) Gibbs measures of nonlinear Schrödinger equations as limits of quantum many-body states in dimensions d ≤ 3 (with Jüerg Fröhlich, Antti Knowles, and Benjamin Schlein), preprint (2016), 101 pages. http://arxiv.org/abs/1605.07095.
#### Research Reports

- 1) On the uniqueness of solutions to the periodic 3D Gross-Pitaevskii hierarchy (based on joint work with Gigliola Staffilani), Oberwolfach Reports, Vol. 9 (2012), no. 2, 1622–1644.
- 2) The Gross-Pitaevskii hierarchy on the three-dimensional torus (based on joint work with Philip Gressman
- and Gigliola Staffilani), Oberwolfach Reports, Vol. 9 (2013), no.3, 2360–2365.
#### Summer School Reports

- Evolution Equations at the Swiss Federal Institute of Technology, Zürich, Switzerland
- (summer school report written jointly with Dean Baskin and Jacques Smulevici), in CMI Annual Report 2008,
- http://www.claymath.org/library.
### AWARDS

- Good Teaching Award, UPenn, Spring 2013. Good Teaching Award, UPenn, Fall 2011.
- Vedran Sohinger 3
- Simons Postdoctoral Fellowship, UPenn, Fall 2011-Spring 2014.
- Charles and Jennifer Johnson Prize for a paper accepted for publication, MIT, Spring 2011.
- MIT Presidential Fellowship, Fall 2006.
- Valedictorian, UC Berkeley Mathematics Department, May 2006.
- B.A. with Highest Honors, UC Berkeley, May 2006.
- Phi Beta Kappa (Liberal Arts and Sciences), May 2006 to present.
- Dorothea Klumpke Roberts Prize for Academic Excellence, UC Berkeley, May 2006.
- Dean’s Honor List, UC Berkeley.
- International House Scholarship, UC Berkeley.
- William Lowell Putnam Mathematical Competition 2005, Honorable Mention, Individual Rank 27th.
- International Mathematical Olympiad 2001 and 2002, Bronze Medal.
### PRESENTATIONS

#### Invited Talks

- University of Warwick, job interview, January 23, 2017.
- University of Birmingham, job interview, December 8, 2016.
- The 3rd SwissMAP General Meeting, Engelberg, Switzerland, September 13, 2016.
- Workshop “Singularity formation and long-time behavior in dispersive PDEs", University of Bonn, March 16, 2016.
- University of Bielefeld, Oberseminar Analysis, October 30, 2015.
- University of California Berkeley, Analysis Seminar, October 5, 2015.
- University of Texas Austin, Analysis Seminar, October 2, 2015.
- MSRI five minute introduction talk, MSRI, Berkeley, California, September 2015.
- ETH Analysis Seminar, December 9, 2014.
- Radcliffe Institute, Workshop "Randomness and Long-Time Dynamics in Nonlinear Evolution Differential Equations", November 2, 2014.
- University of Bielefeld, Oberseminar Analysis, October 20, 2014.
- Hausdorff Institute, Workshop on Real Analysis, July 18, 2014.
- University of Bielefeld, Bielefeld Stochastics Afternoon, April 16, 2014.
- AMS Spring 2014 Sectional Meeting of the American Mathematical Society, Special Session on
- Stochastics and PDEs, Albuquerque, NM, April 6, 2014.
- University of California Los Angeles, Analysis and PDE Seminar, February 21, 2014.
- University of Rochester, Colloquium, February 11, 2014.
- Eidgenössische Technische Hochschule Zürich, Postdoctoral Interview, January 23, 2014.
- Joint Mathematics Meetings, AMS Special Session on Dispersive and Geometric Partial Differential Equations, Baltimore, MD, January 18, 2014.
- University of Miami, Colloquium, January 16, 2014.
- SIAM Conference on Analysis of Partial Differential Equations, section on Dynamics of Nonlinear
- Dispersive Wave Equations, Lake Buena Vista, FL, December 7, 2013.
- University of Pennsylvania, Analysis Seminar, November 12, 2013.
- Oberwolfach workshop on Nonlinear Waves and Dispersive Equations, August 15, 2013.
- University of Zagreb, Probability Seminar, July 9, 2013.
- Princeton University, Analysis Seminar, February 25, 2013.
- University of Zagreb, Probability Seminar, December 18, 2012.
- New York University, Analysis Seminar, November 29, 2012.
- Massachusetts Institute of Technology, PDE/Analysis Seminar, October 23, 2012.
- University of Pennsylvania, Analysis Seminar, October 2, 2012.
- AMS 2012 Fall Eastern Sectional Meeting, Special Session on Microlocal Analysis and Nonlinear Evolution Equations, Rochester, NY, September 22, 2012.
- University of Texas Austin, 2012/13 Thematic Program on nonlinear Schrödinger equations and Bose gases from a multidisciplinar, integrative perspective, September 17 and September 19, 2012.
- Conference in honor of Michael Taylor’s 65th birthday, July 19, 2012. Oberwolfach workshop on Nonlinear Evolution Equations, May 17, 2012. Johns Hopkins Analysis Seminar, April 30, 2012.
- Simons Postdoctoral Fellows Meeting, Stony Brook, April 11, 2012.
- Drexel University, Applied Mathematics and PDE Seminar, March 20, 2012.
- University of Pennsylvania, Analysis Seminar, March 13, 2012.
- SIAM Conference on Analysis of Partial Differential Equations, section Recent Progress on Dispersive Partial Differential Equations, November 14, 2011.
- AMS 2011 Fall Western Sectional Meeting, Special Session on Harmonic Analysis and Dispersive Partial Differential Equations, Salt Lake City, October 22, 2011.
- Princeton University, Analysis Seminar, October 3, 2011.
- SISSA trimester on Nonlinear Hyperbolic PDEs, Dispersive and Transport equations, Trieste, Italy, section on Dispersive equations, July 9, 2011.
- University of Pennsylvania, Analysis Seminar, February 8, 2011.
- Max Planck Institute for Mathematics in the Sciences, Leipzig, January 14, 2011.
- Hausdorff Center for Mathematics, University of Bonn, January 11, 2011.
- University of California Los Angeles, Analysis and PDE Seminar, October 22, 2010.
- University of North Carolina Chapel Hill, Analysis/PDE Seminar, September 29, 2010. University of
- Zagreb, Probability Seminar, June 15, 2010.
- SIAM conference on Emerging Topics in Dynamical Systems and PDEs, Barcelona, June 3, 2010. New York University Analysis Seminar, May 7, 2010.
- Brown Department of Applied Mathematics PDE Seminar, March 19, 2010.
#### Poster presentations

- Workshop “Probability and asymptotic analysis in strongly coupled systems”, University of Bonn, January 12, 2015.
#### Expository Talks

- UPenn Friday Pizza Seminar, "The nonlinear Schrödinger equation", Spring 2014.
- MIT Pure Math Graduate Student Seminar, "Low regularity solutions of nonlinear dispersive equations", Spring 2010 .
- MIT Pure Math Graduate Student Seminar, "Counting the number of lattice points in Euclidean balls", Fall 2008.
- MIT Applied Math Student Seminar, "Solitary wave solutions to the Nonlinear Schrödinger equation", Spring 2008.
#### Undergraduate research

- "Orbits under wreath products"
- University of California Berkeley, Subfactor seminar, September 2005.
### CONFERENCES AND WORKSHOPS

- The 3rd SwissMAP General Meeting, Engelberg, Switzerland, September 11–13, 2016.
- Oberwolfach workshop on Nonlinear Evolution Problems, Oberwolfach, Germany, May 29–June 4, 2016.
- Singularity formation and long-time behavior in dispersive PDEs, University of Bonn, March 14–18, 2016. Probability and asymptotic analysis in strongly coupled systems, University of Bonn, January 11–15, 2016.
- New Challenges in PDE: Deterministic Dynamics and Randomness in High and Infinite Dimensional Systems, Semester program at the MSRI, Berkeley, CA, USA, September-October 2015.
- Geometric non-linear analysis: Conference on the occasion of Michael Struwe’s 60th birthday, ETH Zürich, June 8-12, 2015.
- Symposium: 50 years of Mathematics at the FIM, ETH Zürich, June 3-8. 2015.
- Frontiers in Analysis and Probability, Strasbourg / Zürich meeting, University of Strasbourg, France, February 19-21, 2015.
- Workshop on Randomness and Long-Time Dynamics in Nonlinear Evolution Differential Equations, Radcliffe Institute, Cambridge, MA, November 1-3, 2014.
- Harmonic Analysis & Partial Differential Equations: Recent & Developments and Future Directions: A conference in honor of C. E, Kenig, University of Chicago, September 19-21, 2014.
- Workshop on Real Analysis, part of Trimester on Harmonic Analysis and Partial Differential Equations at the Hausdorff Institute in Bonn, Germany, July 14-18, 2014.
- AMS 2014 Spring Western Sectional Meeting, University of New Mexico, Albuquerque, NM, April 5-6, 2014.
- Joint Mathematics Meetings, Baltimore, MD, January 15-18, 2014.
- SIAM Conference on Analysis of Partial Differential Equations, Lake Buena Vista, FL, December 7-10, 2013.
- Oberwolfach workshop on Nonlinear Waves and Dispersive Equations, Oberwolfach, Germany, August 11-17, 2013.
- The Global Behavior of Solutions to Critical Nonlinear Wave Equations: A conference in honor of Carlos Kenig, Kansas State University, Manhattan, KS, June 17-21, 2013.
- The Sixteenth Rivière-Fabes Symposium on Analysis and PDE, University of Minnesota, April 19-21, 2013. AMS 2012 Fall Eastern Sectional Meeting, Rochester Institute of Technology, Rochester, NY, September
- 22-23, 2012.
- Partial Differential Equations: Analytic and Geometric Aspects, in honor of Michael Taylor’s 65 Birthday, University of North Carolina, Chapel Hill, July 16-20, 2012.
- Oberwolfach workshop on Nonlinear Evolution Equations, Oberwolfach, Germany, May 13-19, 2012.
- Evolution Equations: A Workshop in Honor of Terence Tao, Northwestern University, May 4-6, 2012.
- Simons Foundation Postdoctoral Fellows Meeting, Simons Center for Geometry and Physics, Stony Brook, NY, April 10-13, 2012.
- SIAM Conference on Analysis of Partial Differential Equations, San Diego, CA, November 14-18, 2011.
- ICERM conference on Boltzmann models in Kinetic theory, ICERM, Brown, Providence, RI, November 7-11, 2011.
- AMS 2011 Fall Western Sectional Meeting, Salt Lake City, October 22-23, 2011.
- SISSA trimester on Nonlinear Hyperbolic PDEs, Dispersive and Transport equations, Trieste, Italy, section on Dispersive equations, July 7-14, 2011.
- The Fourteenth Rivière-Fabes Symposium on Analysis and PDE, University of Minnesota, April 15-17, 2011. SIAM Conference: Emerging Topics in Dynamical Systems and PDEs, Barcelona, Spain, May 31-June 4,
- 2010.
- The Thirteenth Rivière-Fabes Symposium on Analysis and PDE, University of Minnesota, April 23-25, 2010.
- Workshop on Nonlinear dispersive and geometric evolution equations: Singularities and Asymptotics,
- Pacific Institute for the Mathematical Sciences, Vancouver, Canada, August 17-28, 2010
- Conference Ondes Non-linéaires et Dispersion, Institut Henri Poincaré, Paris, France, June 22-26, 2009.
- The power of Analysis, Birthday conference for Charles Fefferman, Princeton May 4-8, 2009.
- Clay Mathematics Institute Summer School on Evolution Equations, ETH, Zurich, Switzerland June 23-July 18, 2008.
- The Eighth International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial, Spain, June 16-20, 2008.
- Nonlinear Waves, Conference in honor of Walter Strauss, Brown University, May 8 - 11, 2008.
- MIT Women in Mathematics: A Celebration, Massachusetts Institute of Technology, April 12-13, 2008.
- Teaching
### COURSES

#### At UZH

- Introduction to Nonlinear Dispersive Equations (Master's level), Fall 2016, instructor.
#### At ETH

- Introduction to Harmonic Analysis (Master’s level), Spring 2016, instructor.
- Introduction to Harmonic Analysis (Master’s level), Spring 2015, instructor.
#### At UPenn

- Math 240: Calculus III, Fall 2013, instructor.
- Math 425: Partial Differential Equations (Undergraduate Level), Spring 2013, instructor. Math 644:
- Partial Differential Equations (Graduate Level), Fall 2011, instructor.
#### At MIT

- 18.152: Introduction to PDE, Fall 2010, grader.
- 18.155: Differential Analysis, Fall 2010, grader.
- 18.03: Ordinary Differential Equations, Spring 2010, recitation instructor.
- 18.02: Multivariable Calculus, Fall 2009, recitation instructor.
- 18.06: Linear Algebra, Fall 2008, recitation instructor.
- 18.075: Advanced Calculus for Engineering, Spring 2008, grader.
- 18.101: Analysis II, Fall 2007, grader.
- 18.704: Undergraduate Seminar in Algebra and Number Theory, Spring 2007, grader.
#### Seminar Courses

- Undergraduate seminar for Putnam Exam preparation, UPenn, Fall 2012.
- Course on Nonlinear Dispersive Equations, Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany, January-February, 2012.
#### Reading Groups

- Organizer of student reading group on the use of U and V function spaces in nonlinear dispersive
- equations, MIT, Spring 2011.
- Organizer of student reading group on KAM Theory, MIT, Fall 2009.
#### High school teaching

- Olympiad training for high school students in Croatia, 2003–2010.
### COMMITTEE WORK

- Chair of the Prize Committee at UPenn in the academic year 2012–2013.
- Member of the Prize Committee at UPenn in the academic year 2013–2014.
- Member of Ph. D. Thesis Defense Committee for Taisong Jing (UPenn), 2014.
### JOURNALS REFEREED

- Dynamics of Partial Differential Equations.
- Probability Theory and Related Fields.
- International Mathematics Research Notices.
- Annales scientifiques de l’École normale supérieure. Analysis and PDE.
- SIAM Journal on Mathematical Analysis.
- Annales de l’Institut Henri Poincaré (C), Analyse Non Linéaire.
- Discrete and Continuous Dynamical Systems, Series A.
- Journal of Mathematical Analysis and its Applications.
- Journal of Functional Analysis.
- Proceedings of the American Mathematical Society. Physica D.
- Communications in Pure and Applied Analysis.
### MEMBERSHIP

- American Mathematical Society.
- Croatian Mathematical Society.
- Phi Beta Kappa.
### LANGUAGE SKILLS

- Croatian: native speaker.
- English: fluent.
- German: B1.
- French: basic knowledge.

- In my Ph.D. thesis I proved upper bounds on the growth of high Sobolev norms of solutions of nonlinear Schrödinger equations using almost conserved quantities. In my subsequent work I considered the Gross-Pitaevskii hierarchy on a periodic domain with the aim of studying uniqueness of solutions to this system. In addition, I have studied the non cut-off Boltzmann equation. More recently, I have worked on the derivation of Gibbs measures of nonlinear Schrödinger equations from many-body dynamics.
- Thesis:
- Bounds on the growth of high Sobolev norms of solutions to nonlinear Schrödinger equations, Ph.D. Thesis, MIT (2011). Advisor: Gigliola Staffilani.
- Papers:
- 1) Bounds on the growth of high Sobolev norms of solutions to Nonlinear Schrödinger equations on S1, Differential and Integral equations, 34 (2011), no. 7-8, 653–718.
- 2) Bounds on the growth of high Sobolev norms of solutions to Nonlinear Schrödinger equations on R, Indiana University Mathematics Journal, 60 (2011), no. 5, 1487–1516.
- 3) Bounds on the growth of high Sobolev norms of solutions to 2D Hartree equations, Discrete and Continuous Dynamical Systems A, 32 (2012), no. 10, 3733–3771.
- 4) The Boltzmann equation, Besov spaces, and optimal time decay rates in the whole space (with Robert Strain), Advances in Mathematics, 261 (2014), no. 20, 274–332.
- 5) On the uniqueness of solutions to the 3D periodic Gross-Pitaevskii hierarchy (with Philip Gressman and Gigliola Staffilani), Journal of Functional Analysis, 266 (2014), no. 7, 4705–4764.
- 6) Randomization and the Gross-Pitaevskii hierarchy (with Gigliola Staffilani), Archive for Rational Mechanics and Analysis, 218 (2015), no. 1, 417–485.
- 7) Local existence of solutions to Randomized Gross-Pitaevskii hierarchies, Transactions of the American Math- ematical Society, 368 (2016), no. 3, 1759–1835.
- 8) A rigorous derivation of the defocusing nonlinear Schrödinger equation on T3 from the dynamics of many-body quantum systems, Annales d l’Institut Henri Poincaré C, Analyse Non-Linéaire, 32 (2015), no. 6, 1337– 1365.
- 9) The Gross-Pitaevskii hierarchy on general rectangular tori (with Sebastian Herr), Archive for Rational Mechanics and Analysis, 220 (2016), no. 3, 1119–1158.
- 10) Gibbs measures of nonlinear Schrödinger equations as limits of quantum many-body states in dimensions d ≤ 3 (with Jüerg Fröhlich, Antti Knowles, and Benjamin Schlein), preprint (2016), 101 pages. http://arxiv.org/abs/1605.07095.