### Academic positions

Professor, Division of Applied Mathematics, Brown University , 2013--present.

(Associate Professor (2008-13) and Assistant Professor (2004-8).)

Member, School of Mathematics, Institute for Advanced Study , 2018-2019.

Van Vleck Assistant Professor, Department
of Mathematics , University of
Wisconsin, Madison, 2001-04.

Guest scientist, Max-Planck Institute
for Mathematics in the Sciences , Leipzig, 2000-01.

Adjunct professor,
Centre for Applicable Mathematics, Tata Institute of Fundamenatal
Research, Bangalore, 2008--2011.

### Education

Ph.D, Division of Applied
Mathematics , Brown University, 2001. Advisor: George Haller.

M.S, Theoretical and Applied
Mechanics , Cornell University, 1996.

B. Tech (Hons), Mechanical
Engineering , IIT, Kharagpur, 1994.

### Ph.D students

Yu-Lin Lin, Ph.D 2009 (mathematics). * Perturbation theorems for Hele-Shaw flows and their appliations *.

Ravi Srinivasan , Ph.D 2009 (applied mathematics). * Closure and complete integrability in Burgers turbulence*.

Christian Pfrang, Ph.D 2011 (applied mathematics). * Diagonalizing random matrices with integrable systems *.

Joe Klobusicky, Ph.D 2014 (applied mathematics). * Kinetic limits of piecewise deterministics Markov processes and grain boundary coarsening *

Daniel Johnson-Chyzhykov, Ph.D 2015 (applied mathematics), * Combinatorial and geometric structure in the self-assembly of polyhedra. *

Vivian Olsiewski Healey, Ph.D 2017 (mathematics) * The Loewner equation with branching and the continuum random tree. *

Carey Caginalp, Ph.D 2017 (applied mathematics), * A derivation and analysis of the N-point hierarchy for conservation laws and multistable dynamics with white noise in the Allen-Cahn equation. *

Colin McSwiggen, Ph.D 2020 (applied mathematics), * Theory and Applications of Harish-Chandra integrals. *

Michael Lee, (applied mathematics, in progress). * Stochastic gradient descent and semidefinite proramming.y *

Ching-Peng Huang (applied mathematics, in progress). * Matrix flows and stochastic gradient descent . *

Zsolt Veraszto (applied mathematics, in progress). * Gradient flows and the deep linear network *

Tejas Kotwal (applied mathematics, in progress). * Graph embeddings and stochastic flows . *

Tianmin Yu (applied mathematics, in progress). * TBD. *

Ayeong Lee (applied mathematics, in progress). * TBD. *

### Undergraduate research supervised

Susan Tolwinski, Sc.B, 2005 (physics) *Ph.D 2011 (Applied Mathematics, University of Arizona).*

Margaret Ewing, AB, 2010 (mathematics). * First position: Ph.D student in math at the University of Minnesota. *

Andrew Furnas, Sc.B, 2011 (mathematics). * First position: Marshall scholar at the University of Leeds. *

Ryan Kaplan, Sc.B 2012 (mathematics-computer science).* First position at Dropbox. *

Andrew Kunas, AB 2012 (applied mathematics). * First position at Two Sigma, LLC. *

Nash Rochman, Sc.B 2013 (chemical physics). * First position: Ph.D student at Johns Hopkins University *.

Eric Kalosa-Kenyon, Sc.B 2015 (applied mathematics-biology). * First position: Symbiota. *

Collin Cademartori, Sc. B 2018 (mathematics). * First position: Ph.D student at Columbia University *.

### Significant grants

NSF DMS 0605006, Scaling and infinite divisibility in
models of coarsening and other dynamic selection problems (2006-2009).

NSF DMS 0748482, CAREER - Scaling and self-similarity in nonlinear science (2008-2013).

NSF EFRI 1022638, BECS: Engineering self-assembling systems composed of interacting patterned polyhedra: theory and experiments.

NSF DMS 1411278, Turbulence and integrability (2014-2017).

NSF DMS 1714187, High dimensional dynamical systems (2017-2020).

Simons Fellow (Class of 2018)