David Aristoff's homepage
David Aristoff, Ph.D.
Positions held
- Assistant Professor,
Department of Mathematics, Colorado State University (2014--)
- Labex Bézout Visiting Professor, CERMICS,
Ecole des Ponts ParisTech, (June/July 2018)
- Dunham Jackson Assistant Professor,
Department of Mathematics, University of Minnesota (2011--2014)
Education
- Ph.D. in Mathematics, University of Texas at Austin (May 2011),
advisor: Charles Radin
- B.A. in Mathematics, University of Michigan (May 2005)
Research interests
- mathematical and statistical physics
- modeling and simulation
- phase transitions and metastability
- percolation, random graphs and networks
Publications
- D. Aristoff and D.M. Zuckerman, Optimizing weighted ensemble sampling of steady states, arXiv:1806.00860v2
- D. Aristoff, Generalizing parallel replica dynamics: trajectory fragments, asynchronous computing, and PDMPs, arXiv:1802.09444v3
- D. Aristoff, Analysis and optimization of weighted ensemble sampling, ESAIM: Mathematical Modelling and Numerical Analysis 52(2018), 1219--1238
- D. Aristoff and L. Zhu, On the phase transition curve in a directed exponential random graph model (2018)
Adv. Appl. Prob. 50(1), 272--301
- T. Wang, P. Plecháč, and D. Aristoff (2018) Stationary averaging for multi-scale continuous time Markov chains using parallel replica dynamics,
SIAM Multiscale Model. Simul. 16(1), 1--27
- D. Aristoff and L. Zhu (2017) Lattice gas models with long range interactions, J. Math. Phys. 58(2), 023301
- D. Aristoff, S. Chill and G. Simpson (2016) Analysis of estimators for adaptive Kinetic Monte Carlo, Comm. App. Math. and Comp. Sci. 11(2), 171--186
- D. Aristoff, J.M. Bello-Rivas and R. Elber (2016) A mathematical framework for exact milestoning,
SIAM Multiscale Model. Simul. 14(1), 301--322
- D. Aristoff (2015) The parallel replica method for computing equilibrium averages
of Markov chains, Monte Carlo Methods Appl. 21(4), 255--273
- D. Aristoff and L. Zhu (2015) Asymptotic structure and singularities in constrained directed graphs,
Stoch. Proc. Appl. 125(11), 4154--4177
- D. Aristoff, T. Lelièvre, C. Mayne and I. Teo (2015) Adaptive multilevel splitting in molecular dynamics simulations,
ESAIM: Proceedings and Surveys 48, 215--225
- D. Aristoff, T. Lelièvre and G. Simpson (2014)
The parallel replica method for generating long
trajectories of Markov chains, Appl. Math Res. Express 2014(2), 332--352
- D. Aristoff (2014) Percolation of hard disks, J. Appl. Prob. 51(1), 235--246
- D. Aristoff and T. Lelièvre (2014)
Mathematical analysis of temperature accelerated dynamics,
SIAM Multiscale Model. Simul. 12(1), 290--317
- D. Aristoff and C. Radin (2013)
Emergent structures in large networks, J. Appl. Prob. 50, 883--888
- D. Aristoff and C. Radin (2011) Rigidity in solids, J. Stat. Phys. 144, 1247--1255
- D. Aristoff and C. Radin (2011) Dilatancy transition in a granular model,
J. Stat. Phys. 143, 2152251
- D. Aristoff and C. Radin (2011) First order phase transition in a model of quasicrystals,
J. Phys. A: Math. Theor. 44, 255001
- D. Aristoff
and C. Radin (2011) First order phase transition of a long polymer chain, J. Phys. A: Math. Theor. 44, 065004
- D. Aristoff and C.
Radin (2010) Random close packing in a granular model, J. Math. Phys. 51, 113302
- D. Aristoff and C. Radin (2010) Layering in crumpled sheets, Europhys.
Lett. 91, 56003
- D. Aristoff and C. Radin (2009) Random loose packing in granular matter,
J. Stat. Phys., 135, 1--23
Grants
- NSF-DMS-1818726. "Stochastic Methods for Complex Systems" (joint PI with G. Simpson),
$201,292, 8/01/2018--7/31/2021
- NSF-DMS-1522398. "Algorithms for Complex Systems" (sole PI), $179,802, 8/15/2015--7/31/2018
Conferences/workshops
- SIAM conference on analysis of partial differential equations, Baltimore, MD (December 2017) minisymposium organizer
- IPAM semester program on complex high dimensional landscapes (September-December 2017)
- SIAM central states section, Little Rock, AR (October 2016)
- Journées Adaptive Multilevel Splitting et évènements rares, Ecole des Ponts ParisTech, Paris, FR (June 2016)
- SIAM conference on mathematical aspects of materials science, Philadelphia, PA (May 2016) minisymposium organizer
- Colorado Nonlinear Day, University of Colorado, Colorado Springs (April 2016)
- BIRS conference on free-energy computations: a mathematical perspective, Oaxaca, Mexico (July 2015)
- IMA workshop on Graphical Models, Statistical Inference, and Algorithms, University of Minnesota (May 2015)
- SIAM Central States Section, Missouri S&T (April 2015)
- SIAM Sponsored Workshop on Dimension Reduction, Penn State University (March 2015)
- ICERM semester program on phase transitions and emergent properties,
Brown University (February-May 2015)
- AIMS Conference on Dynamical Systems,
Differential Equations and Applications, Madrid, Spain (July 2014)
- CEMRACS research session: modelling and simulations of complex systems,
Luminy, France (July-August 2013)
- SIAM conference on mathematical aspects of materials science,
Philadelphia, PA (June 2013)
- Mathematics and the materials genome initiative, Institute for
Mathematics and its Applications, Minneapolis, MN (September 2012)
- Quantum and atomistic modeling of materials defects, IPAM, Los
Angeles, CA (October
2012)
- Mathematics and the Materials Genome Initiative, IMA, Minneapolis, MN (September 2012)
- SIAM annual meeting, Minneapolis, MN (July
2012)
- Particulate matter: Does dimensionality matter? Max Planck
Institute for the Physics of Complex Systems, Dresden, Germany (June
2010)
- Optimal Configurations on the sphere and Other manifolds,
Vanderbilt University (May 2010)
- Summer Graduate Workshop on Random Matrix Theory, MSRI, Berkeley,
CA (July 2009)
Invited talks
- Invited speaker, scientific computing seminar, CERMICS, Ecole des Ponts ParisTech (July 2018)
- Invited speaker, J-PSI working group of young researchers: statistical physics and interactions, INRIA Paris (June 2018)
- Invited speaker, IMA Working Group on Mathematical Modeling of Finite-temperature Coarse-graining, University of Minnesota (April 2018)
- Invited speaker, Applied Math Seminar, University of Delaware (March 2018)
- Invited speaker, Materials Research Society fall meeting and exhibit, Boston, MA (November 2017)
- Invited speaker, workshop on Stochastic Sampling and Accelerated Time Dynamics on Multidimensional Surfaces (October 2017)
- Invited speaker, Los Alamos National Laboratory Center for Nonlinear Studies (August 2017)
- Colloquium, University of Denver (June 2017)
- Center for Computational Mathematics (CCM) seminar, UC Denver (December 2016)
- Colloquium, UC Colorado Springs (November 2016)
- Minisymposium, SIAM central states section, Little Rock, AR (October 2016)
- Invited speaker, Journées Adaptive Multilevel Splitting et évènements rares, Ecole des Ponts ParisTech, Paris, FR (June 2016)
- Invited speaker, Colorado Nonlinear Day, University of Colorado Colorado Springs (April 2016)
- Invited speaker, colloquium, University of Colorado Boulder (April 2016)
- Invited speaker, colloquium, Florida State University (March 2016)
- Invited speaker, applied math seminar, University of Colorado Boulder (September 2015)
- Invited speaker, University of Chicago (August 2015)
- Invited speaker, BIRS conference on free-energy computations: a mathematical perspective, Oaxaca, Mexico (July 2015)
- ICES seminar, University of Texas (April 2015)
- Minisymposium, SIAM central states section, Missouri S&T (April 2015)
- Invited speaker, SIAM workshop on dimension reduction,
Penn State University (March 2015)
- Invited speaker, ICERM semester program on phase transitions and emergent properties,
Brown University (February 2015)
- Special session, AIMS Conference on Dynamical Systems,
Differential Equations and Applications, Madrid (July 2014)
- Numerical analysis seminar, University of Delaware (April 2014)
- Applied math seminar, Drexel University (April 2014)
- Colloquium, Kansas State University (December 2013)
- Concurrent session, SIAM conference on mathematical aspects of materials science,
Philadelphia, PA (June 2013)
- Applied math seminar, University of Texas (March 2013)
Teaching
Spring 2018:
- Linear algebra (Math 369)
- Topics in molecular dynamics simulation (Math 676)
Spring 2017:
- Measure theory (Math 617)
Fall 2016:
- Graduate linear algebra (Math 560)
- Linear algebra (Math 369)
Fall 2015:
- Undergraduate analysis (Math 417)
- Numerical analysis (Math 450)
Fall 2014:
- Graduate analysis (Math 517)
- Linear algebra (Math 369)
Fall 2013:
- Honors introduction to analysis
- Advanced calculus I
Spring 2013:
- Advanced calculus II
- Calculus II
Fall 2012:
- Advanced calculus I
Spring 2012:
- Calculus II -- course coordinator
Fall 2011:
- Calculus I
Spring 2009:
- Precalculus
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