Curriculum Vitæ

Correspondence Details Academic Interests, History, and Affiliations Academic Publications

Conferences & Academic Gatherings Teaching Languages

Correspondence Details

• 1200 East California Boulevard
  California Institute of Technology
  Mail Code 9-94
  Pasadena
  California 91125-9400
  United States of America
• Telephone: +1-626-395-3491
• Email: tjs (obvious symbol) caltech.edu
• Webpage: http://www.its.caltech.edu/~tjs/

Academic Interests, History, and Affiliations

• Mathematical Research Interests
• Academic History
• Professional Affiliations

Mathematical Research Interests

• General mathematical research interests: analysis, especially problems that involve one or more of real analysis, functional analysis, probability theory, optimization and dynamical systems.
• The development of uncertainty quantification methods for complex systems that are both mathematically rigorous and computationally and physically practical. Topics of research include the theoretical foundations of uncertainty quantification and methods including optimal uncertainty quantification, concentration-of-measure inequalities, and data-on-demand versus legacy data techniques.
• Analysis of rate-independent processes and elastoplasticity, especially the justification of rate-independent processes as scaling limits of rate-dependent processes and the effects of coupling elastoplastic systems to heat baths.

Academic History

• From September 2012: Mathematics Institute, University of Warwick, Coventry, U.K.
  Warwick Zeeman Lecturer (Assistant Professor)
• 2012: California Institute of Technology, Pasadena, California, U.S.A.
  Senior Postdoctoral Scholar in Applied & Computational Mathematics and the Graduate Aerospace Laboratories
• 2009–2012: California Institute of Technology, Pasadena, California, U.S.A.
  Postdoctoral Scholar in Applied & Computational Mathematics and the Graduate Aerospace Laboratories
  Postdoctoral Advisors:
  • Prof. Michael Ortiz, PSAAP Center Director
  • Prof. Houman Owhadi, PSAAP Uncertainty Quantification group leader
• 2005–2009: University of Warwick, Coventry, U.K.
  Ph.D. in Mathematics by Research
  Doctoral Thesis: Analysis of Gradient Descents in Random Energies and Heat Baths
  Advisor: Dr Florian Theil
  Examiners:
  • Prof. Valery Smyshlyaev (University of Bath, U.K.)
  • Prof. Andrew Stuart (University of Warwick, U.K.)
• 2000–2004: University of Warwick, Coventry, U.K.
  Master of Mathematics (Class I)
  Advisors:
  • Dr Luca Sbano, academic tutor
  • Prof. Gero Friesecke (Technische Universität München), dissertation advisor
• 1990–2000: Hymers College, Kingston-upon-Hull, U.K.
  GCE ‘A’-Levels in Mathematics, Further Mathematics, Physics, Modern History and General Studies
  GCSEs in English Language, English Literature, Mathematics, Biology, Chemistry, Physics, History, German, Latin, Design & Technology (Electronics)

Professional Affiliations

• Society for Industrial and Applied Mathematics

Academic Publications

• Dissertations and Theses
• Journal Articles
• Proceedings
• Technical Reports
• Peer Review Activities

Dissertations and Theses

	Analysis of Gradient Descents in Random Energies and Heat Baths Ph.D. thesis, University of Warwick, U.K., 2009 Supervised by Dr Florian Theil and examined by Prof. Valery Smyshlyaev (University of Bath, U.K.) and Prof. Andrew Stuart (University of Warwick, U.K.)	Full Text
	“Linearized Dynamics of Oscillating Lattices — A Spatial Discretization of the Wave Equation” Undergraduate research project, University of Warwick, U.K., 2004 Supervised by Prof. Gero Friesecke (University of Warwick and Technische Universität München)	Full Text

Journal Articles

	Under Review
	T. J. Sullivan, M. McKerns, D. Meyer, F. Theil, H. Owhadi & M. Ortiz “Optimal uncertainty quantification for legacy data observations of Lipschitz functions” Submitted to Mathematical Modelling and Numerical Analysis (M2AN), February 2012	Preprint
	To Appear
	H. Owhadi, C. Scovel, T. J. Sullivan, M. McKerns & M. Ortiz “Optimal Uncertainty Quantification” SIAM Review	Preprint
	T. J. Sullivan, M. Koslowski, F. Theil & M. Ortiz “Thermalization of rate-independent processes by entropic regularization” Discrete and Continuous Dynamical Systems — Series S	Preprint
	2012
	T. J. Sullivan & H. Owhadi “Distances and diameters in concentration inequalities: From geometry to optimal assignment of sampling resources” International Journal for Uncertainty Quantification 2(1):21–38, 2012 doi:10.1615/Int.J.UncertaintyQuantification.v2.i1.30	Preprint
	A. A. Kidane, A. Lashgari, B. Li, M. McKerns, M. Ortiz, H. Owhadi, G. Ravichandran, M. Stalzer & T. J. Sullivan “Rigorous Model-Based Uncertainty Quantification with Application to Terminal Ballistics. Part I: Systems with Controllable Inputs and Small Scatter” Journal of the Mechanics and Physics of Solids, 60(5):983–1001, 2012 doi:10.1016/j.jmps.2011.12.001
	M. Adams, A. Lashgari, B. Li, M. McKerns, J. M. Mihaly, M. Ortiz, H. Owhadi, A. J. Rosakis, M. Stalzer & T. J. Sullivan “Rigorous Model-Based Uncertainty Quantification with Application to Terminal Ballistics. Part II: Systems with Uncontrollable Inputs and Large Scatter” Journal of the Mechanics and Physics of Solids, 60(5):1002–1019, 2012 doi:10.1016/j.jmps.2011.12.002
	2011
	T. J. Sullivan, U. Topcu, M. McKerns & H. Owhadi “Uncertainty quantification via codimension-one partitioning” International Journal for Numerical Methods in Engineering 85(12):1499–1521, 2011 doi:10.1002/nme.3030	Preprint
	2009
	T. J. Sullivan, M. Koslowski, F. Theil & M. Ortiz “On the behavior of dissipative systems in contact with a heat bath: Application to Andrade creep” Journal of the Mechanics and Physics of Solids 57(7):1059–1077, 2009 doi:10.1016/j.jmps.2009.03.006	Preprint

Proceedings

	To Appear
	M. Ortiz, M. McKerns, H. Owhadi, T. J. Sullivan & C. Scovel “Optimal Uncertainty Quantification” in Advanced Computational Engineering, 12–18 February 2012, ed. O. Allix, C. Carstensen, J. Schröder & P. Wriggers. Oberwolfach Reports 9(1):xxx–xxx, 2012 doi:10.4171/OWR/2012/09
	T. J. Sullivan, M. Koslowski, F. Theil & M. Ortiz “Thermalization of rate-independent processes by entropic regularization” in Interplay of Analysis and Probability in Physics, 22–28 January 2012, ed. W. König, P. Mörters, M. Peletier & J. Zimmer. Oberwolfach Reports 9(1):xxx–xxx, 2012 doi:10.4171/OWR/2012/06	Preprint
	M. M. McKerns, L. Strand, T. J. Sullivan, A. Fang & M. A. G. Aivazis “Building a Framework for Predictive Science” in Proceedings of the 10th Python in Science Conference (SciPy 2011), June 2011	Preprint
	2010
	T. J. Sullivan & F. Theil “On gradient descents in random wiggly energies” in Microstructures in Solids: From Quantum Models to Continua, 14–20 March 2010, ed. A. Mielke & M. Ortiz. Oberwolfach Reports 7(1):739–741, 2010 doi:10.4171/OWR/2010/14	Preprint
	T. J. Sullivan, M. McKerns, U. Topcu & H. Owhadi “Uncertainty quantification via codimension-one domain partitioning and a new concentration inequality” Procedia — Social and Behavioral Sciences 2(6):7751–7752, 2010 doi:10.1016/j.sbspro.2010.05.211	Preprint
	F. Theil, T. J. Sullivan, M. Koslowski & M. Ortiz “Dissipative systems in contact with a heat bath: Application to Andrade creep” in Proceedings of the IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials, Bochum, Germany, September 22–26, 2008, ed. K. Hackl. IUTAM Bookseries 21:261–272, 2010 doi:10.1007/978-90-481-9195-6_20
	2007
	T. J. Sullivan & F. Theil “Deterministic stick-slip dynamics in a one-dimensional random potential” in Analysis and Numerics for Rate-Independent Processes, 25 February–3 March 2007, ed. G. Dal Maso, G. Francfort, A. Mielke & T. Roubíček. Oberwolfach Reports 4(1):652–655, 2007 doi:10.4171/OWR/2007/11	Preprint

Technical Reports

	2010
	M. McKerns, H. Owhadi, C. Scovel, T. J.  Sullivan & M. Ortiz “The optimal uncertainty algorithm in the mystic framework” Caltech CACR Technical Report No. 523, August 2010	Report

Peer Review Activities

I have served as an academic peer reviewer for the following journals:

• ESAIM: Mathematical Modelling and Numerical Analysis (M2AN)
• Reliability Engineering & System Safety

Conferences & Academic Gatherings

	2012
	1–5 April 2012: SIAM Conference on Uncertainty Quantification Raleigh, North Carolina, U.S.A. Participant and minisymposium speaker	Slides
	27 January 2012: Third Annual Caltech Solid Mechanics Symposium California Institute of Technology, Pasadena, California, U.S.A. Member of the organizing committee
	22–28 January 2012: Interplay of Analysis and Probability in Physics Mathematisches Forschungsinstitut Oberwolfach, Germany Invited participant and speaker, supported by the US Junior Oberwolfach Fellows project (NSF Grant 0540019)	Slides
	2011
	12–16 December 2011: EPSRC Symposium on Probability Workshop on Multiscale Systems: Theory and Applications Mathematics Institute, University of Warwick, U.K. Invited speaker	Slides
	8 December 2011: Applied Physics and Applied Mathematics Colloquium Columbia University, New York City, New York, U.S.A. Colloquium speaker	Slides
	13–16 November 2011: INFORMS 2011 Annual Meeting Decision Support Models and Sensitivity Analysis Charlotte, North Carolina, U.S.A. Invited minisymposium speaker	Slides
	16–18 August 2011: PSAAP Verification and Validation Workshop Stanford University, Palo Alto, California, U.S.A. Participant and speaker	Slides
	10–14 July 2011: SciDAC 2011 Annual Meeting Denver, Colorado, U.S.A. Panel speaker	Slides
	12–18 June 2011: Spectral Methods of Uncertainty Quantification Mathematisches Forschungsinstitut Oberwolfach, Germany Invited participant
	18 March 2011: Applied Mathematics and Statistics Seminar Mathematics Institute, University of Warwick, U.K. Invited speaker	Slides
	17 March 2011: Applied Mathematics Reading Group Department of Mathematical Sciences, University of Bath, U.K. Invited speaker	Slides
	21 February 2011: CSRI Uncertainty Quantification, Verification & Validation Seminar Sandia National Laboratories, Albuquerque, New Mexico, U.S.A. Invited speaker	Slides
	19 January 2011: Second Annual Caltech Solid Mechanics Symposium California Institute of Technology, Pasadena, California, U.S.A. Invited contributing speaker	Slides
	2010
	12–18 November 2010: ASME International Mechanical Engineering Congress & Exposition Symposium on Uncertainty Quantification in Multiscale Multiphysics Simulations Vancouver, British Columbia, Canada Participant and symposium speaker	Slides
	29 August–3 September 2010: Rate-Independent Systems: Modeling, Analysis, and Computations Banff International Research Station, Banff, Alberta, Canada Invited participant and contributing speaker	Slides
	19–22 July 2010: 6th International Conference on Sensitivity Analysis of Model Output Bocconi University, Milano, Italy Participant and contributing speaker	Slides
	12–16 July 2010: 2010 SIAM Annual Meeting Minisymposium on Numerical Methods for Stochastic Computation and Uncertainty Quantification Pittsburgh, Pennsylvania, U.S.A. Participant and minisymposium speaker	Slides
	7–9 July 2010: PSAAP Verification and Validation Workshop University of Texas at Austin, Austin, Texas, U.S.A. Participant and panel speaker
	14–20 March 2010: Microstructures in Solids: From Quantum Models to Continua Mathematisches Forschungsinstitut Oberwolfach, Germany Invited participant and contributing speaker, supported by the Oberwolfach Leibniz Graduate Students programme	Slides
	8–11 February 2010: Advanced Simulation and Computing Principal Investigators Meeting Las Vegas, Nevada, U.S.A. Participant
	2009
	18–19 November 2009: Sensitivity Analysis and Uncertainty Quantification Workshop Part of Los Alamos National Laboratory's ASC Verification & Validation Program Santa Fe, New Mexico, U.S.A. Participant
	27–29 August 2009: Workshop on Energy-Driven Systems Center for Nonlinear Analysis, Carnegie Mellon University, Pittsburgh, Pennsylvania, U.S.A. Participant and contributing speaker	Slides
	28–30 July 2009: PSAAP Verification and Validation Workshop California Institute of Technology, Pasadena, California, U.S.A. Participant
	4 February 2009: Warwick Mathematics Institute Postgraduate Open Day University of Warwick, Coventry, U.K. Invited contributing speaker	Slides
	2008
	7–11 July 2008: LMS–EPSRC Short Course on Stochastic Partial Differential Equations Imperial College London, U.K. Participant
	October 2007–September 2008: Warwick Mathematics Institute Postgraduate Seminar Mathematics Institute, University of Warwick, Coventry, U.K. Organizer
	2007
	17–18 September 2007: Microscopic Models of Plastic Evolution Mathematics Institute, University of Warwick, Coventry, U.K. Organizer and speaker
	30 April–1 May 2007: Third Annual Structured Integrators Workshop University of Southern California, Los Angeles, California, U.S.A. Invited participant and contributing speaker
	16 March–5 May 2007: Graduate Aeronautical Laboratories California Institute of Technology, Pasadena, California, U.S.A. Visiting student researcher and invited speaker, guest of Prof. Michael Ortiz, supported by the University of Warwick Research Development Fund
	25 February–2 March 2007: Analysis and Numerics for Rate-Independent Processes Mathematisches Forschungsinstitut Oberwolfach, Germany Invited participant and contributing speaker	Slides
	19–20 January 2007: Opening Colloquium Hausdorff Centre for Mathematics, Bonn, Germany Participant
	2006
	11–23 September 2006: Fifth Prague Summer School: Mathematical Statistical Mechanics Center for Theoretical Study, Charles University, Prague, Czech Republic Participant and contributing speaker
	2002
	19–25 July 2002: Ninth International Mathematics Competition for University Students University of Warsaw, Warsaw, Poland Competitor, representing the University of Warwick

Teaching

California Institute of Technology

• Undergraduate Research Students
• Yutong Chen (2011–2012)
• Lan Huong Nguyen (2011–2012)

Mathematics Institute, University of Warwick

• Teaching Assistant
• MA131 Analysis I & II (2005–2008)
• MA222 Metric Spaces (2006–2009)
• MA225 Differentiation (2006–2009)
• MA244 Analysis III (2005)
• MA397 Consolidation (2005, 2008)
• MA4A2 Advanced PDEs (2007)
   Course Outline  Exercises
• MA4G6 Calculus of Variations (2006)
• Undergraduate Supervision
• Supervision of first- and second-year undergraduate students (2002–2004, 2005–2009)

Languages

	English	Fluent — first language
	German / Deutsch	Intermediate
	Latin / Lingua Latina	Intermediate
	Russian / Русский Язык	Beginner