Our research is at the interface of stochastic analysis, statistical mechanics, scientific computation, and machine learning. Application areas include soft condensed matter physics, fluid mechanics, and biophysics. We also work on general methods for numerical analysis and for inference in machine learning.
We gratefully acknowledge the following sources of support: *This material is based upon work supported by the National Science Foundation under Grant No. NSF DMS-0635535 and NSF CAREER DMS-0956210. Any opinions, findings and conclusions or recomendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation (NSF).
GD-VAEs: Geometric Dynamic Variational Autoencoders for Learning Nonlinear Dynamics and Dimension Reductions, R. Lopez and P. J. Atzberger, (2022), [paper].
SDYN-GANs: Adversarial Learning Methods for Multistep Generative Models for General Order Stochastic Dynamics, P. Stinis, C. Daskalakis, and P. J. Atzberger, (2023),
[paper]
Variational Autoencoders for Learning Nonlinear Dynamics of Physical Systems, R. Lopez and P. J. Atzberger, (2020), [paper].
GMLS-Nets for Learning Operators on Scattered Data Sets
GMLS-Nets: A Framework for Learning from Unstructured Data, N. Trask, R. G. Patel, B. J. Gross, and P. J. Atzberger, arXiv:1909.05371, (2019), [paper].
Career Information I [PDF] Career Information II [PDF]
Postdoctoral Position Available in Scientific Computation and Machine Learning.
Funding has become available for a new postdoctoral position concerning research on machine learning methods and related approaches in scientific computation. To apply, please see link here. Some additional information can be found in position paper and recent UC Current Article.
April 2022: Congratulations to Patrick Tran on being award National Science Foundation (NSF) Graduate Student Fellowship!
April 2022: Congratulations to Ryan Lopez on being admitted to graduate program at Massachusetts Institute of Technology (MIT)!
April 2022: Congratulations to Daniel Guo on being admitted to graduate program at Columbia University!
September 2021: Congratulations to Patrick Tran on the research Goldwater Fellowship!
August 2021: Congratulations to Samarth Kadaba on Poster Award at SMB 2021! Congratulations also on acceptance to Stanford University!
July 2021: Congratulations to Christian Bueno on his thesis defense and graduation!
June 2021: Congratulations to Andrew Gracyk on his thesis defense and graduation!
June 2019: Congratulations to David Rower!
Congratulations to David Rower on acceptance to Massachusetts Institute of Technology (MIT), selection for National Science Foundation (NSF) Graduate Student Fellowship, and receiving UCSB Physics Research Excellence Award!
June 2019: Congratulations to Ben Gross on his thesis defense and graduation!
September 2018: Awarded by the US Department of Energy a collaborative grant as part of MMICCs initiative for machine learning and scientific computation.
The grant provides support for research at UCSB and collaborative activities with researchers at Sandia National Laboratories (SNL), Pacific Northwestern National Laboratories (PNNL), and Stanford, Brown, and MIT. Additional information: [PDF][UC Current Article].
August 2018: David Rower and Ben Gross attending and giving research talks at SIAM Conference in Minneapolis, MN.
Hydrodynamic Flows on Curved Surfaces: Spectral Numerical Methods for Radial Manifold Shapes, B.J. Gross and P.J. Atzberger, (accepted), J. Comp. Phys., (2018) [preprint][full paper].
Spectral Numerical Exterior Calculus Methods for Differential Equations on Radial Manifolds, B.J. Gross and P.J. Atzberger, 76, pp 145–165, Journal of Scientific Computing, (2018) [preprint][full paper].
also see
Meshfree Methods on Manifolds for Hydrodynamic Flows on Curved Surfaces: A Generalized Moving Least-Squares (GMLS) Approach, B. J. Gross, N. Trask, P. Kuberry, and P. J. Atzberger, Journal of Computational Physics, Vol. 409, 15 May (2020), [preprint][full paper].
As the newly elected Vice-Chair for the SIAM Life Sciences Activity Group, I would like to encourage you to join the LS SIAG. For more information and upcoming conferences / events please see:
June 2016: Summer School on Multiscale Modeling of Materials CM4 (Stanford University, June 20-23, 2016)
The workshop focuses on mathematical modeling of soft materials and computational methods. We present a tutorial on fluctuating hydrodynamics approaches and our computational package SELM for simulations using the LAMMPS molecular dynamics software.
Software package SELM for fluctuating hydrodynamics simulations in LAMMPS [software website]
June 2016: Soft Matter Journal highlights on the cover our work on curved fluid interfaces.
This research is reported in the paper
Hydrodynamic Coupling of Particle Inclusions Embedded in Curved Lipid Bilayer Membranes, J.K. Sigurdsson and P.J. Atzberger, 12, 6685-6707, Soft Matter, The Royal Society of Chemistry, (2016) [paper] .
Funding has become available for a new postdoctoral position. To apply, please send a CV and a short summary of your research interests. [see link]
May 2014: Our paper "Shape matters in protein mobility within membranes," was published in the Proceedings of the National Academy of Sciences (PNAS). [full paper]
Congratulations Jon Sigurdsson!
May 2014: Congratulations to Kai Sikorksi on his new position at Goldman Sachs!
May 2014: Recent expository demonstration we put together for the Poincare Sections of the Duffing Oscillator.
December 2013: Congratulations to Jon Karl Sigurdsson who successfully defended his thesis!
September 2013: Congratulations to Pat Plunkett who successfully defended his thesis!
Thanks Pat for the very cool 3D printout of an adaptive mesh! [JPG]
July 2013: Soft Matter Journal has highlighted on the September cover our work on supported lipid bilayers.
This research is reported in the paper
Simulation of edge facilitated adsorption and critical concentration induced rupture of vesicles at a surface, P. Plunkett, B. Camley, K. Weirich, J. Israelachvili, P. Atzberger. [paper]
June 2013: Congratulations to Gil Tabak on winning the Undergraduate Wilder Award!
This research work is reported in the paper
Stochastic Reductions for Inertial Fluid-Structure Interactions Subject to Thermal Fluctuations, G. Tabak and P.J. Atzberger, SIAM J. Appl. Math., 75(4), 1884–1914, (2015). [PDF][full paper]
June 2013: Gil Tabak gives CCS Commencement Speech.
December 2012: Software Package Mango-Selm for fluctuating hydrodynamics thermostats has been released!
This is available as part of the Lammps Molecular Dynamics Software (Sandia, DOE). The package allows for dynamic simulations of implicit-solvent coarse-grained models using SELM thermostats. [more information].
December 2012: Awarded from US Department of Energy a collaborative grant to found a MMICCs center on Computational Methods for Soft Materials (CM4).
The grant will provide support for research at UCSB and collaborative activities with researchers at Sandia National Laboratories (SNL), Pacific Northwestern National Laboratories (PNNL), and Stanford, Brown, Penn State, and MIT. Additional information: [CM4 MMICCs Center].
July 2012: David Valdman successfully defends his thesis!
Congratulations to Dr. Valdman!
April-June 2012: KITP Workshop :
Physical Principles of Multiscale Modeling, Analysis and Simulation in Soft Condensed Matter, Coordinators: Paul J. Atzberger, Kurt Kremer, Mark Robbins [link]
June 2011: Daniel Kerr gives CCS Commencement Speech.
