Education

Ph.D. Mathematics, Indiana University, August 1993
    thesis advisor: Ciprian Foias

Performer Diploma in Guitar, Indiana University, May 1992

    studio of: Ernesto Bitetti

M.S. Mathematics, University of Ljubljana, Slovenia, July 1988

    thesis advisor: Matjaž Omladič

B.S. Mathematics, University of Ljubljana, Slovenia, August 1986

    thesis advisor: Matjaž Omladič

Research Interests

Partial differential equations, mathematical fluid dynamics

Positions Held

September 2004–Present, Professor, University of Southern California
January 2012–May 2012, Visiting Associate, Caltech
September 1998–August 2004, Associate Professor, University of Southern California
September 1997–August 1998, Assistant Professor, University of Southern California
October 1995–August 1997, Assistant Professor, The University of Chicago
October 1993–September 1995, Dickson Instructor, The University of Chicago

Editorial Boards

August 2015–Present, AIMS Mathematics
January 2013–Present, Applied Mathematics and Optimization
March 2012–Present, Asymptotic Analysis
November 2005–Present, Communications in Pure and Applied Analysis
August 2016–Present, Lecture Notes in Mathematical Fluid Dynamics
August 2012–July 2018, Nonlinear Analysis: Real World Applications

Awards

Alfred P. Sloan Fellowship, 2000

Alfred P. Sloan doctoral dissertation fellowship, 1991

Weber Award, Indiana University, 1990

Preseren Award, University of Ljubljana, 1987

Ph.D. students with current affiliations

Mehmet Malcok, Ph.D., 2001, Nationwide insurance

Juan J. Torres, Ph.D., 2006

Vlad Vicol, Ph.D., 2010, Courant Institute, NYU

Ednei Reis, Ph.D., 2011, Universidade Tecnológica Federal do Paraná UTFPR, Brazil

Mihaela Ignatova, Ph.D., 2011, Temple University

Yuan Pei, Ph.D., 2014, Western Washington University

Fei Wang, Ph.D., 2016, Shanghai Jiao Tong University

Guher Camliyurt, Ph.D., 2018, University of Chicago

Weinan Wang, Ph.D., 2019, University of Arizona

David Massatt, Ph.D., 2022, Aerospace Corporation

Linfeng Li (current, joint with Juhi Jang), postdoc at UCLA

Quinn Le (current)

Mustafa Aydin (current)

Postdoctoral Associates

Seok Huang, Amjad Tuffaha, Walter Rusin, Weiwei Hu, Wojciech Ozanski, Trinh Nguyen, Pranava Jayanti

Short-term visits

Université de Genève, Summer 1995 (one month)

Universidad de Chile, Dec.~1995 (one week), Jun.~1996 (one week), Mar.~2011 (one week)

Université de Nice, Summer 1998 (one month)

Mathematical Institute of Czech Academy of Sciences, May 2011 (one week)

University of Ljubljana, Summers 2011, 2012, 2013 (one month)

California Institute of Technology, Winter and Spring 2012

University of Chicago, Feb.~2012 (one week)

Oberwolfach, Feb.~2013 (one week), Aug.~2015 (one week), Nov.~2016 (one week), May~2017 (one week), Aug.~2019 (one week)

Princeton University, Feb.~2014 (one week), Jan.~2015 (one week), Jan.~2016 (one week), Mar.~2017 (one week)

Banff, June~2016

University of Warwick, Sep.~2016 (one week)

Vanderbilt University, Feb.~2017 (one week)

Courant Institute, Feb.~2019 (one week), Jan.~2020 (one week)

Duke University, Nov.~2021 (one week)

Conferences co-organized (organizing committee)

“Southwestern Workshop on Dynamical Systems, USC,” Nov.~17–19,~2000

“Mathematics of Fluids,” Los Angeles, CA, Mar.~29–30, 2008

“International Conference on Partial Differential Equations Modeling Fluids and Complex Fluids” in Xian, China, Jun.~13–17, 2010

SIAM conference on “Analysis of Partial Differential Equations”, San Diego, CA, Nov.~14–17, 2011

Mathematics Research Communities, Regularity Problems for Nonlinear Partial Differential Equations Modeling Fluids and Complex Fluids, Jun.~25–Jul.~1, 2013

7 special sessions at AMS meetings, 2 special sessions at AIMS meetings, 2 SIAM mini-symposia

Oberwolfach workshop “Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions”, Nov.~2016

Summer School on Recent Advances in Mathematical Fluid Dynamics, May 20–24, 2019

MSRI semester program “Mathematical problems in fluid dynamics,” January 2021–May 2021

Euler and Navier-Stokes equations seminar at the MSRI semester program, January 2021–May 2021

Recent Advances in Mathematical Fluid Dyanamics, Duke University, May~16–24, 2023

Mathematical Problems in Fluid Dynamics, part~2, July~17–August~11, 2024