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==Biography ==
==Biography ==
Born and raised in [[Brussels]], he obtained his B. Sc. in 1989 and Ph.D. in 1994 from the [[Université Libre de Bruxelles]] where he became lecturer in the Mathematics Department. Shortly after, he moved to the [[University of Arizona]] to take the positions of Research Associate (1994-1997), Assistant Professor (1998-2002), Associate Professor (2002-2007) and Professor (2007-2010). In Tucson, he also served as acting head for the Program in Applied Mathematics in 2006-2007 and 2007-2008. In 2010, he moved to Oxford to take up the inaugural chair of Mathematical Modelling and to become Director of the Oxford Centre for Collaborative Applied Mathematics (OCCAM). He is a Senior Fellow of the [[Oxford Martin School]] and received a M.A. in 2010 from the University of Oxford (by resolution). He has held a number of visiting positions, including visiting professorship at the [[École Polytechnique Fédérale de Lausanne]], the [[École normale supérieure (Paris)]], and the [[Pierre and Marie Curie University]]. He also held the Timoshenko professorial fellowship at [[Stanford University]] and the Distinguished Rothschild Visiting Fellowship at the [[Isaac Newton Institute]] <ref>[https://www.newton.ac.uk/about/fellowships/nm-rothschild-sons/ Rothschild Fellows]</ref>.
Born and raised in [[Brussels]], he obtained his B. Sc. in 1989 and Ph.D. in 1994 from the [[Université Libre de Bruxelles]] where he became lecturer in the Mathematics Department. Shortly after, he moved to the [[University of Arizona]] to take the positions of Research Associate (1994-1997), Assistant Professor (1998-2002), Associate Professor (2002-2007) and Professor (2007-2010). In Tucson, he also served as acting head for the Program in Applied Mathematics in 2006-2007 and 2007-2008. In 2010, he moved to Oxford to take up the inaugural chair of Mathematical Modelling and to become Director of the Oxford Centre for Collaborative Applied Mathematics (OCCAM). He is a Senior Fellow of the [[Oxford Martin School]] and received a M.A. in 2010 from the University of Oxford (by resolution). He has held a number of positions, including visiting professorships at the [[École Polytechnique Fédérale de Lausanne]], the [[École normale supérieure (Paris)]], and the [[Pierre and Marie Curie University]]. He also held the Timoshenko professorial fellowship at [[Stanford University]] and the Distinguished Rothschild Visiting Fellowship at the [[Isaac Newton Institute]] <ref>[https://www.newton.ac.uk/about/fellowships/nm-rothschild-sons/ Rothschild Fellows]</ref>.


==Research==
==Research==
Alain Goriely works in the field of applied mathematics and he is interested in a broad range of problems including dynamical systems; the mechanics of biological growth; the modelling of the brain, the theoretical foundations of mechanics; the dynamics of curves, knots, and rods; the modelling of cancer; the development of new photovoltaic devices; the modelling of lithium-ion batteries and, more generally the study and development of mathematical methods for applied sciences.
Alain Goriely works in the field of applied mathematics and he is interested in a broad range of problems including dynamical systems; the mechanics of biological growth; the modelling of the brain, the theoretical foundations of mechanics; the dynamics of curves, knots, and rods; the modelling of cancer; the development of new photovoltaic devices; the modelling of lithium-ion batteries and, more generally the study and development of mathematical methods for applied sciences.

===Differential equations and dynamical systems===
In his doctoral research on singularities, integrability theory, and dynamical systems, he established deep connections between the analytic and geometric approaches of differential equations by showing that the local behavior of the solutions of differential equations in complex time is connected to their global geometric properties in phase space. In particular, he developed new tests to prove the integrability and non-integrability for systems of differential equations and discrete mappings, based on the so-called Painlevé expansions in complex time. More importantly, he derived a new form of the [[Melnikov distance]] from the local [[Painleve property]] that can be used to prove the existence of transverse [[homoclinic connections]], thereby directly relating local multivaluedness in complex time to chaotic dynamics in real-time. He also gave sufficient conditions for the existence of open sets of initial conditions leading to finite-time singularities which cosmologists use to explore possible singularities in cosmological models (such as the expanding general-relativistic Friedmann universe, brane singularity).


==Publications==
==Publications==

Revision as of 09:18, 18 September 2021

Alain Goriely
Born
NationalityBelgian
Alma materUniversité libre de Bruxelles (1989 – 94)
OccupationMathematician
SpouseNita Goriely
ChildrenZébulon, Zakkai, Zéphyr
AwardsCozzarelli Prize (US National Academy of Sciences) (2019)
Fellow of the Society of Industrial and Applied Mathematics (2018)
Royal Society Wolfson Research Merit Award (2010)
Alfred P. Sloan Fellow (1999)
Scientific career
Fields
InstitutionsUniversity of Oxford
University of Arizona
Université libre de Bruxelles
Thesis Integrability and Nonintegrability of Dynamical Systems: A Singularity Analysis Approach.
Doctoral advisorRadu Bălescu
Websitewww.goriely.com

Alain Goriely is a mathematician. Currently, he holds the statutory professorship (chair) of mathematical modelling[2] at the University of Oxford, Mathematical Institute, he is director of the Oxford Centre for Industrial Mathematics (OCIAM)[3], of the International Brain and Mechanics Lab (IBMTL)[4] and Professorial Fellow at St Catherine's College, Oxford[5]. At the Mathematical Institute, he is also director of external relations and public engagement initiating the Oxford Mathematics series of public lectures [6].


Biography

Born and raised in Brussels, he obtained his B. Sc. in 1989 and Ph.D. in 1994 from the Université Libre de Bruxelles where he became lecturer in the Mathematics Department. Shortly after, he moved to the University of Arizona to take the positions of Research Associate (1994-1997), Assistant Professor (1998-2002), Associate Professor (2002-2007) and Professor (2007-2010). In Tucson, he also served as acting head for the Program in Applied Mathematics in 2006-2007 and 2007-2008. In 2010, he moved to Oxford to take up the inaugural chair of Mathematical Modelling and to become Director of the Oxford Centre for Collaborative Applied Mathematics (OCCAM). He is a Senior Fellow of the Oxford Martin School and received a M.A. in 2010 from the University of Oxford (by resolution). He has held a number of positions, including visiting professorships at the École Polytechnique Fédérale de Lausanne, the École normale supérieure (Paris), and the Pierre and Marie Curie University. He also held the Timoshenko professorial fellowship at Stanford University and the Distinguished Rothschild Visiting Fellowship at the Isaac Newton Institute [7].

Research

Alain Goriely works in the field of applied mathematics and he is interested in a broad range of problems including dynamical systems; the mechanics of biological growth; the modelling of the brain, the theoretical foundations of mechanics; the dynamics of curves, knots, and rods; the modelling of cancer; the development of new photovoltaic devices; the modelling of lithium-ion batteries and, more generally the study and development of mathematical methods for applied sciences.

Differential equations and dynamical systems

In his doctoral research on singularities, integrability theory, and dynamical systems, he established deep connections between the analytic and geometric approaches of differential equations by showing that the local behavior of the solutions of differential equations in complex time is connected to their global geometric properties in phase space. In particular, he developed new tests to prove the integrability and non-integrability for systems of differential equations and discrete mappings, based on the so-called Painlevé expansions in complex time. More importantly, he derived a new form of the Melnikov distance from the local Painleve property that can be used to prove the existence of transverse homoclinic connections, thereby directly relating local multivaluedness in complex time to chaotic dynamics in real-time. He also gave sufficient conditions for the existence of open sets of initial conditions leading to finite-time singularities which cosmologists use to explore possible singularities in cosmological models (such as the expanding general-relativistic Friedmann universe, brane singularity).

Publications

He is the author of three books[1]

  • Goriely A. Integrability and nonintegrability of dynamical systems. World Scientific; 2001.
  • Goriely A. The mathematics and mechanics of biological growth. Springer; 2017
  • Goriely A. Applied Mathematics: A very short introduction. Oxford University Press; 2017

His most cited papers are:

  • Eperon GE, Burlakov VM, Docampo P, Goriely A, Snaith HJ. Morphological control for high performance, solution‐processed planar heterojunction perovskite solar cells. Advanced Functional Materials. 2014 Jan;24(1):151-7. According to Google Scholar, it has been cited 1922 times.[8]
  • Saidaminov MI, Abdelhady AL, Murali B, Alarousu E, Burlakov VM, Peng W, Dursun I, Wang L, He Y, Maculan G, Goriely A. High-quality bulk hybrid perovskite single crystals within minutes by inverse temperature crystallization. Nature Communications. 2015 Jul 6;6(1):1-6. According to Google Scholar, this article has been cited 1159 times [8]
  • Noel NK, Abate A, Stranks SD, Parrott ES, Burlakov VM, Goriely A, Snaith HJ. Enhanced photoluminescence and solar cell performance via Lewis base passivation of organic–inorganic lead halide perovskites. ACS Nano. 2014 Oct 28;8(10):9815-21. According to Google Scholar, this article has been cited 1131 times [8]
  • Stranks SD, Burlakov VM, Leijtens T, Ball JM, Goriely A, Snaith HJ. Recombination kinetics in organic-inorganic perovskites: excitons, free charge, and subgap states. Physical Review Applied. 2014 Sep 11;2(3):034007. According to Google Scholar, this article has been cited 950 times [8]
  • Ben Amar M, Goriely A. Growth and instability in elastic tissues. Journal of the Mechanics and Physics of Solids. 2005 Oct 1;53(10):2284-319. According to Google Scholar, this article has been cited 353 times [8]
  • Goriely A, Geers MG, Holzapfel GA, Jayamohan J, Jérusalem A, Sivaloganathan S, Squier W, van Dommelen JA, Waters S, Kuhl E. Mechanics of the brain: perspectives, challenges, and opportunities. Biomechanics and Modeling in Mechanobiology. 2015 Oct;14(5):931-65. According to Google Scholar, this article has been cited 271 times [8]
  • Cangelosi R, Goriely A. Component retention in principal component analysis with application to cDNA microarray data. Biology Direct. 2007 Dec;2(1):1-21. According to Google Scholar, this article has been cited 255 times [8]


References

  1. ^ a b Alain Goriely publications indexed by Google Scholar
  2. ^ [url=https://www.maths.ox.ac.uk/people/alain.goriely Professor Alain Goriely]
  3. ^ OCIAM
  4. ^ IBMTL
  5. ^ Faculty at Catz
  6. ^ Oxford Mathematics Public Lectures Series
  7. ^ Rothschild Fellows
  8. ^ a b c d e f g [1] Google Scholar Author page, Accessed June 28, 2021

[Category:Fellows of the Society for Industrial and Applied Mathematics]]