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FÜR SCHÜLERiNNEN
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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.