Curiculum Vitae

PERSONAL

Name in full: Mathieu Dutour SikirićAddress (Main): 28b Karlovacka Cesta

10452 JastrebarskoCroatia

Address (France): 4 passe du Marais85300 Le PerrierFrance

Cellphone: 00 385 99 25 40 187E-mail: Mathieu.Dutour@gmail.com, mdsikir@irb.hr

and Mathieu.Dutour@ecmwf.intPosition: Member of Laboratory for Physical Oceanography

and Chemistry of water SystemsFamily situation: Born 07/01/1974, married, one daughterHome page: http://mathieudutour.altervista.org/Social Medias: https://www.quora.com/Mathieu-Dutour-Sikiric

https://www.linkedin.com/profile/view?id=36942168

EDUCATION

1997-1999: Ph.D. student at Université Paris 11 Orsay, France1996-1998: Masters student in École Normale Supérieure, France1994-1996: Undergraduate student in École Normale Supérieure, France

DIPLOMAS AND/OR TITLES

2007: Scientific Advisor in Mathematics in Croatia1999: Ph.D. in Mathematics (mention très honorable)

Bifurcation vers l’état d’Abrikosov et diagramme des phasesDefended at l’Université Paris XI, Orsay, France.Thesis advisor: Prof. B. Helffer

1996: B.Sc. Thesis, (mention très honorable)Asymptotic Analysis and Inverse ScatteringDefended at l’Université Paris VI, Paris, France.Thesis advisor: G. Henkine

1997: Agrégation de mathématique (rank 32 on 2138 candidates)1997: B.Sc. in mathematics École Normale Supérieure, France.1998: M.Sc. in Mathematics and Computer Science, École Normale Supérieure, France.

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RESEARCH FIELDS

• Numerical Models, oceanography/meteorology, coupling between models

• Planar Graphs, tilings and Crystallography.

• Enumeration Methods in Combinatorics.

• Geometry of polytopes and Theory of lattices.

TECHNICAL SKILLS

1. Programing in the following languages:

• Fortran 90 (around 30000 lines of code)• C, C++ (around 30000 lines of code)• GAP (around 70000 lines)• Others: Perl, Matlab,

2. Environments: Unix, Linux, GIT, SVN, Qt(GUI).

3. Multiprocessor programming with MPI, OpenMP, Posix threads, andC++11 threads.

4. Optimization: linear programming, semidefinite programming, integerprogramming. SAT enumeration techniques.

LANGUAGES

Mother tongue: FrenchVery good knowledge: EnglishGood knowledge: CroatElementary knowledge: Hebrew

PROFESSIONAL ACTIVITIES

1. More than 100 refereee done for following journals:Acta Crystallographica, Ars Combinatorica, Ars Mathematiqua Contem-poranea, Applicable Algebra in Engineering Communications and Com-puting European J. of Combinatorics, Contributions in Discrete Math-ematics, Croatia Chemica Acta, Dicrete Applied Mathematics, DiscreteMathematics, MATCH mathematical Chemistry, Discrete and Compu-tational Geometry, Discrete and Applied Mathematics, Entropy, Experi-mental Mathematics, International Journal of Computational Geometryand Applications, Journal of Algebraic Combinatorics, Journal of Com-putational Physics, Journal of Homotopy and Related Structures, Journalof Mathematical Physics, Journal of the London Mathematical Society,Memoirs of the American Mathematical Society, Fourth Voronoi Confer-ence of the Number Theory and Spatial Tesselations, Journal of combina-torial theory A, Ocean Engineering, Ocean Modelling, Proceedings of theNational Academy of Science, Proceedings of the Royal Society A, SIGMA(Symmetry, Integrability and Geometry: Methods and Applications),

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2. Reviewer for Mathematical review

3. Member of editorial board of European J. of Combinatorics from 2004 to2007.

4. More than 100 presentations in Seminar and Conferences all over theworld.

PROFESSIONAL CAREER

2006-present Researcher in “Laboratory for satellite oceanography”at Rudjer Bos̆ković Institute of Zagreb.

2012.1.1-2014.5.23 Humboldt fellow in Rostock University (1 year in total)(Work with Achill Schürmann, Klaus Hulek and Alexey Garber)

2009.11.1-2009.11.30 Invited researcher at the national university of Irland, Galway(Work with Ellis Graham)

2009.5.7-2009.5.21 Invited researcher at Oberwolfach institute in a “research in pair”2008.2.1-2008.4.30 Invited researcher at HIM Hausdorff Institute for Mathematics, Bonn2007.9.1-2007.10.31 Invited researcher in National University of Galway2006.12.1-2007.3.10 Tenure track professor at Nagoya University

(Resigned for personnal reasons)2006.1.1-3.31 Invited professor in Institut of Statistical Mathematics, Tokyo.2001-2005 Researcher at LIGA in École Normale Supérieure, Paris.2002-2004 Postdoc at “Hebrew University” of Jerusalem, Israel.

(with Gil Kalai)1998-2002 Professor agrégé de mathématique

in Classe Preparatoire aux Grandes Écoles1994-1998 Paid Student at École Normale Supérieure, Paris.

(Most prestigious French academic institution)

PROFESSIONAL ACHIEVEMENTS

1. I gave the first complete proof of the phase diagram for superconductors.The diagram had been drawn for more than 40 years but the mathematicalproof of its exactness had never been published before.

2. I computed all combinatorial types of Delaunay polytopes in dimension 6and all perfect Delaunay polytopes in dimension 7.

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Types of delaunay polytopes in dimension 3

3. I introduced the methods of linear programming to the problem ofbathymetry optimization in oceanographic models.

Raw depth of the Adriatic Sea Hydrodynamic stability

4. I obtained the best known coverings of Euclidean space from dimension 9to 15.

Best covering in dimension 2

5. I created an algebraic formalism of (k, l)-product for planar graphs and theGoldberg-Coxeter construction completely from scratch. Some graphs:

1,0 1,1 2,0 2,1

6. I enumerated the space fullerenes up to 21 tiles per reduced fundamentaldomain. Some of them:

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7. Classify many face regular graphs and tori. Examples:

(4, 8)-sphere 4R1, 8R4 (5, 10)-torus 5R3, 10R2

8. Solve chemical concentration optimization problem in C++ using Quasi-Newton methods and wrote Windows GUI for it:

9. Couple Geophysical models together (ROMS, COSMO, WAM). Effect ofcoupling with current on significant wave height:

SOFTWARE PACKAGES

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1. Lattice-CVP, a program for solving Closest Vector Problem, http://www.liga.ens.fr/~dutour/CVP/.

2. TorusDraw, a program for visualization of toroidal maps using Circle pack-ings, http://www.liga.ens.fr/~dutour/TorusDraw/.

3. polyhedral, a package for polyhedral and lattice computations in GAP,http://www.liga.ens.fr/~dutour/polyhedral/.

4. ChemicalReact, a windows program for computing chemical equilibrium,http://mathieudutour.altervista.org/ChemicalReact/index.html

PUBLICATION LIST

36 articles in journals indexed by Current Contents. 48 articles in journalsindexed by Web of Science. 42 articles in mathematical reviews. 82 books orarticles published.

Book

1. E. Deza, M. Deza, M. Dutour Sikiri¢, Generalizations of Finite Metrics and Cuts, WorldScienti�c 2016.

2. M. Deza, M. Dutour Sikiri¢, M. Shtogrin, Geometric Structure of Chemistry-relevantGraphs: zigzags and central circuits, Springer, Forum for Interdisciplinary Mathematics2015

3. M. Dutour Sikiri¢, Y. Itoh, Random sequential packing of cubes, World Scienti�c 2011

4. M. Deza and M. Dutour Sikiri¢, Geometry of chemical graphs: polycycles and two-facedmaps, Cambridge University Press, Encyclopedia of mathematics and its applications, 119,2008

Papers in journals

1. M. Dutour Sikiri¢, The seven dimen-sional perfect Delaunay polytopes andDelaunay simplices, to appear in Cana-dian Journal of Mathematics

2. M. Deza, M. Dutour Sikiri¢, The hyper-metric cone on eight vertices and somegeneralizations, to appear in Journal ofSymbolic Computations

3. H. Gangl, P.E. Gunnells, J. Hanke,A. Schürmann, M. Dutour Sikiri¢, D.Yasaki, On the cohomology of lineargroups over imaginary quadratic �elds,Journal of Pure and Applied Algebra220(7) (2016) 2564�2589.

4. A. Alahmadi, H. Alhazmi, S. Ali, M.Deza, M. Dutour Sikiri¢, Patrick Solé,Hypercube emulation of interconnectionnetworks topologies, to appear in Mathe-matical Methods in the Applied Sciences.

5. M. Deza, I. Deza, M. Dutour Sikiri¢,Polyhedral structures associated withquasi-metrics, Chebyshevskii Sbornik,16(2) (2015) 79�92.

6. M. Deza, M. Dutour Sikiri¢, Enumera-tion of the facets of cut polytopes oversome highly symmetric graphs, to ap-pear in International Transactions in Op-erational Research.

7. M. Dutour Sikiri¢, K. Hulek, A. Schür-mann, Smoothness and singularities ofthe perfect form compacti�cation of Ag,Algebraic Geometry 2(5) (2015) 642-653.

8. M. Dutour Sikiri¢, I. Janekovi¢, I.Tomazi¢, M. Kuzmi¢, A. Roland, Windcomparison of atmospheric productsover the Adriatic, Acta Adriatica 56(1)(2015) 67-82.

9. L. Fenoglio-Marc, S. Dinardo, R. Schar-roo, A. Roland, B. Lucas, R. Weiss, M.Dutour Sikiri¢, M. Becker, J. Benveniste,A Validation Exercise for CryoSat-2 inSAR mode in the German Bight Area,Advances in Space Research 11 (2015)2641-2656.

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10. S. Casalaina-Martin, S. Grushevsky, K.Hulek, R. Laza, Extending the Prymmap to toroidal compacti�cations of themoduli space of abelian varieties (withan appendix by M. Dutour Sikiri¢), toappear in Journal of the European Math-ematical Society.

11. A. Roland, R. Rausch, T. Huxhorn, T.Kraus, S. Wallisch, M. Dutour-Sikiri¢,Y.J. Zhang, U. Zanke, Hochau�ösendeSimulation von urbanen Sturz�uten An-wendungsbeispiel: Über�utungsprüfungfür die Stadt Worms, KorrespondenzAbwasser Abfall 62(3) (2015) (62).

12. M. Dutour Sikiri¢, Y. Itoh, New resultson torus cube packings and tilings, Pro-ceedings of the Steklov Institute of Math-ematics 288 (2015) 243-246.

13. M. Dutour Sikiri¢, V. Grishukhin, Zono-topes and Parallelotopes, to appear inSoutheast Asian Bulletin of Mathemat-ics, preprint at arxiv:1304.2498.

14. D. Bremner, M. Dutour Sikiri¢, D.V.Pasechnik, T. Rehn, A. Schürmann,Computing symmetry groups of polyhe-dra, LMS Journal of Computation andMathematics 17(1) (2014) 565�581.

15. M. Deza, M. Dutour Sikiri¢, VoronoiPolytopes for Polyhedral Norms on Lat-tices, Discrete Applied Mathematics 197(2015) 42-52.

16. M. Dutour Sikiri¢, V. Grishukhin, A.Magazinov, On the sum of a parallelo-tope and a zonotope, European Journalof Combinatorics 42 (2014) 49�73.

17. M. Dutour Sikiri¢, A. Roland, I.Janekovi¢, I. Toma�zi¢, M. Kuzmi¢, Cou-pling of the Regional Ocean ModellingSystem and Wind Wave Model, OceanModelling 72 (2013) 59�73.

18. M. Dutour Sikiri¢, K. Rybnikov, Delau-nay polytopes derived from the Leechlattice, to appear in Journal de Théoriedes Nombres de Bordeaux, preprint atarxiv:0907.0776

19. M. Deza, M. Dutour Sikiri¢, M. Shtogrin,Fullerenes and disk-fullerenes, UspekhiMatematicheskikh Nauk 412 (2013) 69�128.

20. M. Dutour Sikiri¢, Torus square tilings,Applicable Algebra in Engineering, Com-munication and Computing 23 (2012)251�261.

21. M. Dutour Sikiri¢, A. Roland, I. Toma�zi¢,I. Janekovi¢, Hindcasting the AdriaticSea near-surface motions with a cou-pled wave-current model, Journal of Geo-physical Research - Oceans, 117 (2012)C00J36.

22. A. Roland, Y.J. Zhang, H.V. Wang,Y. Meng, Y.-C. Teng, V. Maderich,I. Brovchenko, M. Dutour Sikiri¢, U.Zanke, A fully coupled 3D wave-current interaction model on unstruc-tured grids, Journal of Geophysical Re-search - Oceans, 117 (2012) C00J33.

23. M. Dutour Sikiri¢, M. Deza, Spacefullerenes: computer search for newFrank-Kasper structures II, StructuralChemistry 23-4 (2012) 1103�1114.

24. M. Dutour Sikiri¢, Complexparametrization of triangulations onoriented maps, Ars Mathematica Con-temporanea 6 (2013) 69�81.

25. M. Dutour Sikiri¢, M. Knor, P. Poto�cnik,J. �Siran, R. �Skrekovski, Hyperbolic ana-logues of fullerenes on orientable sur-faces, Discrete mathematics 312 (2012)729�736.

26. M. Dutour Sikiri¢, A. Schürmann, F. Val-lentin, Inhomogeneous extreme forms,Annales de l'Institut Fourier, 62-6 (2012)2227�2255.

27. M. Dutour Sikiri¢, E. Graham, A. Schür-mann, On the integral homology ofPSL4(Z) and other arithmetic groups,Journal of Number Theory 131 (2011)2368�2375.

28. M. Deza, M. Dutour Sikiri¢, Zigzag andcentral circuit structure of (1,2,3, 6)-spheres, Taiwanese Journal of Mathe-matics 16-3 (2012) 913�940.

29. W. Keller, J. Martinet, A. Schür-mann, On classifying Minkowskian sub-lattices (with an appendix by M. DutourSikiri¢), Mathematics of Computation 81(2012) 1063�1092.

30. M. Dutour Sikiri¢, P. Fowler, Cubic poly-hedral Ramanujan graph with face sizeno larger than 6, Journal of Mathemati-cal Chemistry 49 (2011) 843�858.

31. M. Dutour Sikiri¢, A. Felikson, P. Tu-markin, Automorphism group of rootsystems matroids, European journal ofcombinatorics 32 (2011) 383�389.

32. M. Dutour Sikiri¢, O. Delgado Friedrichs,M. Deza, Space fullerenes: computersearch for new Frank-Kasper structures,Acta crystallographica A 66 (2010) 602�615.

33. I. Janekovi¢, M. Dutour Sikiri¢, I.Tomazi¢, M. Kuzmi¢, Hindcasting theAdriatic Sea surface temperature andsalinity: A recent modeling experience,Geo�zika 27 (2010) 85�100.

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34. M. Dutour Sikiri¢, A. Schürmann, F. Val-lentin, The contact polytope of the Leechlattice, Discrete and Computational Ge-ometry 44 (2010) 904�911.

35. M. Dutour Sikiri¢, K. Rybnikov, Perfectbut not generating Delaunay polytopes,to appear in Special issue of SymmetryCulture and Science on polytopes.

36. M. Dutour, G. Ellis, Wytho� polytopesand low-dimensional homology of Math-ieu groups, Journal of Algebra 322

(2009) 4143�4150.

37. M. Dutour Sikiri¢, I. Janekovi¢, M.Kuzmi¢, A new approach to bathymetrysmoothing in sigma-coordinate oceanmodels, Ocean Modelling 29 (2009) 128�136.

38. M. Deza, M. Dutour Sikiri¢ and P.Fowler, The symmetries of cubic polyhe-dral graphs with face size no larger than6, MATCH 61 (2009) 589-602.

39. M. Dutour Sikiri¢, A. Schürmann andF. Vallentin, Complexity and algorithmsfor computing Voronoi cells of lattices,Mathematics of computation 78 (2009)1713�1731.

40. M. Dutour Sikiri¢, Y. Itoh, Combinato-rial cube packings in the cube and thetorus, European J. Combin., 31 (2010)517�534.

41. M. Dutour Sikiri¢ and V. Grishukhin, Adecomposition of the hypermetric coneinto L-type domains, European Journalof Combinatorics, 30 (2009) 853-865.

42. M. Dutour Sikiri¢ and W. Myrvold, Thespecial cuts of 600-cell, Beiträge zur al-gebra und geometrie 49 (2008) 269�275.

43. M. Deza, M. Dutour Sikiri¢, S. Shpec-torov, Hypercube Embedding of Wythof-�ans, Ars Math. Contemp. 1 (2008), 99�111.

44. M. Dutour, M. Deza and M. Shtogrin,Filling of a given boundary by p-gonsand related problems, Discrete Appl.Math. 156 (2008) 1518�1535.

45. M. Dutour Sikiri¢, A. Schürmann and F.Vallentin, A generalization of Voronoi'sreduction theory and applications, DukeMathematical journal. 142 (2008) 127�164.

46. M. Dutour Sikiri¢, Y. Itoh and A. Po-yarkov, Cube packings, second momentand holes, European Journal of Combi-natorics 28 (2007) 715�725.

47. M. Dutour, R. Erdahl and K. Rybnikov,Perfect Delaunay Polytopes in Low Di-mension, Integers 7 (2007) A39.

48. M. Dutour Sikiri¢, F. Vallentin andA. Schürmann, Classi�cation of eight-dimensional perfect forms, ElectronicResearch Annoucements of the AMS 13

(2007) 21�32.

49. M. Dutour Sikiri¢ and V. Grishukhin,How to compute the rank of a Delaunaypolytope, European Journal of Combina-torics 28 (2007) 762�773.

50. M. Deza, M. Dutour Sikiri¢ and M.Shtogrin, Elliptic polycycles with holes,Uspechi Mat. Nauk. 60 (2005) 157�158(in Russian). English translation in Rus-sian Math. Surveys 60.

51. M. Dutour, In�nite series of extremeDelaunay polytope, European Journal ofCombinatorics 26 (2005) 129�132.

52. M. Dutour and M. Deza, Zigzag struc-ture of complexes, South-East AseanMathematical Society, Special Issue inmemory of K. Beidar 29 (2005) 301�320.

53. M. Deza, M. Dutour and S. Shpec-torov, Graphs 4n that are isometricallyembeddable in hypercubes, Bulletin ofSouth-East Asian Mathematical Society29 (2005) 469�484.

54. M. Deza and M. Dutour, Zigzag struc-ture of Simple Two-faced Polyhedra,Combinatorics, Probability & Computing14 (2005) 31�57.

55. M. Dutour and M. Deza, Goldberg-Coxeter construction for 3- or 4-valentplane graphs, Electronic Journal of Com-binatorics 11 (2004) R20.

56. M. Dutour, A result on the phase di-agram of a Ginzburg-Landau problem,HAIT journal of science and engineering,1 (2004) 23�40.

57. M. Deza, M. Dutour and H. Maehara,On volume measures as hemi-metrics,Ryukyu Mathematical Journal 17 (2004)1�9.

58. M. Deza, M. Dutour and P. Fowler,Zigzags, Railroads and Knots inFullerenes, Journal of Chemical Infor-mation and Computer Sciences 44 (2004)1282�1293.

59. M. Deza and M. Dutour, The hypermet-ric cone on seven vertices, ExperimentalMathematics 12 (2004) 433�440.

60. M. Dutour, The six-dimensional Delau-nay polytopes, European Journal of Com-binatorics 25 (2004) 535�548.

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61. M. Deza, M. Dutour and M. Shtogrin, Onsimplicial and cubical complexes withshort links, Israel Journal of Mathemat-ics 144 (2004) 109�124.

62. M. Deza and M. Dutour, Cones of met-rics, hemi-metrics and super-metrics,Annals of the European Academy of Sci-ences (2003) 141�162.

63. M. Deza, M. Dutour and E. Panteleeva,Small cones of oriented semi-metrics,American Journal of Mathematical andManagement Sciences 22 (2002) 199�225.

64. M. Dutour, Phase diagram forAbrikosov lattice, Journal of Mathemat-ical Physics 42 (2001) 4915�4926.

Book chapters

1. M. Deza, M. Dutour Sikiri¢ and M. Shtogrin, Elementary elliptic (R, q)-polycycles, Analysisof Complex Networks, From Biology to Linguistics, edited by M. Dehmer, F. Emmert-Streib,Wiley-Blackwell, Weinheim 2009, 351�376.

Papers in refereed proceedings

1. D. Bremner, M. Dutour Sikiri¢ and A. Schürmann, Polyhedral representation conversionup to symmetries, CRM proceedings & Lecture Notes 48 (2009) 45�72.

2. M. Dutour, Adjacency method for extreme Delaunay polytopes, Proceedings of �ThirdVoronoï Conference of the Number Theory and Spatial Tesselations�, 94�101.

3. M. Dutour and F. Vallentin, Some six-dimensional rigid lattices, Proceedings of �ThirdVoronoï Conference of the Number Theory and Spatial Tesselations�, 102�108.

Papers in non refereed proceedings

1. L. Fenoglio-Marc, S. Dinardo, R. Scharroo, A. Roland, B. Lucas, R. Weiss, M. DutourSikiri¢, M. Becker, J. Benveniste, Validation of CryoSat-2 Observations in SAR Mode inthe German Bight, in Proceedings Living Planet, Edinburgh, ESA SP-717, 2014.

2. L. Fenoglio-Marc, S. Dinardo, R. Scharroo, A. Roland, B. Lucas, R. Weiss, M. DutourSikiri¢, M. Becker, J. Benveniste, A Validation Exercise for CryoSat-2 in SAR Mode inthe German Bight Area, in Proceedings Third CryoSat-2 User Workshop, Dresden, Germany,ESA SP-717, 2013.

3. M. Deza, M. Dutour Sikiri¢, M. Shtogrin, Fullerene-like spheres with faces of negativecurvature, to appear in Diamond D5 and related nanostructures, edited by Mircea V. Diudeaand Csaba L. Nagy, preprint at arxiv:1112.3320

4. L. Cavaleri, A. Roland, M. Dutour Sikiri¢, L. Bertotti, L. Torrisi, On the coupling of COSMOto WAM, Proceedings of ECMWF Workshop on Ocean Waves, 25-27 June 2012, edited byJ. Bidlot.

5. M. Dutour Sikiri¢, M. Deza, 4-regular and self-dual analogs of fullerenes, Mathematics andTopology of Fullerenes, Lecture notes in physics, 2010, to appear.

6. M. Deza, M. Dutour and M. Shtogrin, 4-valent plane graphs with 2-, 3- and 4-gonal faces,�Advances in Algebra and Related Topics� (in memory of B.H.Neumann; Proceedings of ICMSatellite Conference on Algebra and Combinatorics, Hong Kong 2002), World Scienti�c Publ.Co. (2003) 73�97.

7. M. Dutour and B. Hel�er, On bifurcations from normal solutions for superconductingstates, Rendiconti del seminario matematico, Università e Politecnico Torino �Advances inPartial Di�erential Equations� 58 (2000) 259�280.

8. M. Dutour Sikiri¢, K. Rybnikov, A new algorithm in geometry of numbers, proceeding of4th International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2007),IEEE computer society (2009) 182�188.

Technical reports

1. M. Dutour and M. Deza, Face-regular 3-valent two-faced maps, research memorandum 976,Institute of Statistical Mathematics, Tokyo.

Thesis

1. M. Dutour, Bifurcation vers l'État d'Abrikosov et diagramme de phase, thèse de troisièmecycle, Orsay Paris 11, directeur: Bernard Hel�er.

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