Technische Universität Graz Antoine Austria H (0033) 6 82 76 65 95 MARNAT B [email protected] Born 06/11/88 in Strasbourg (France) Forschungassistent French National

"Das Wesen der Mathematik liegt gerade in ihrer Freiheit" - Georg Cantor

Employement December Research Assistant in Number Theory, Technische Universität Graz, 2018 Austria. Sept. 2017 - Postdoctoral Research Associate, University of York, UK. Nov. 2018 2016 - Research Assistant in Number Theory, Technische Universität Graz, August 2107 Austria. Education 2012–2015 PhD in Pure Mathematics, Université de Strasbourg, On the spectrum of classical and twisted exponents of Diophantine approximation. Supervised by Yann Bugeaud and Nicolas Chevallier 2012 Master Degree in Pure Mathematics, Université Joseph Fourier (Grenoble, France), "Geometric Number Theory". Master thesis supervised by Yann Bugeaud, "Exposants des approximations diophanti- ennes en dimension 2" 2011 Agrégation de Mathématiques, ENS Cachan, Campus from Ker Lann (Rennes). 2008-2012 Normalien at ENS Cachan, Campus from Ker Lann (Rennes). Licences in both Mathematics and Computerscience, Master in Pure Mathematics Internships at Université de Strasbourg, (1 month, 1st year) with Christian Kassel and at Macquarie University in Sydney, Australia, (2 months, 2nd year) with Christophe Doche 2006-2008 Classes préparatoires MPSI-MP*, Lycée Kleber, Strasbourg. Two-year intensive program in Advanced Mathematics and Physics in preparation for the nationwide competitive examination to the French Grandes Écoles 2006 Abibac in Science, Lycée Jean Monnet, Strasbourg (France), Highest Honors. Both french and german High School Diploma

1/7 Fields of Research Geometric Number Theory, homogeneous and inhomogeneous Diophantine Approximation. Parametric geometry of numbers introduced recently by W. M. Schmidt and L. Summerer. Publications See my ArXiv account 2019 Hausdorff and Packing dimension of Diophantine sets. 2018 Diophantine transference inequalities: weighted, inhomogeneous and intermediate exponents, with Sam Chow, Anish Ghosh, Lifan Guan and David Simmons, submitted. 2018 An optimal bound for the ratio between ordinary and uniform exponents of Diophantine approximation, with Nikolay Moshchevitin, submitted. 2017 Note on the spectrum of classical and uniform exponents of Diophan- tine approximation, Acta Arithmetica, to appear. 2017 On Diophantine transference principles, avec Anish Ghosh, Math- ematical Proceedings of the Cambridge Philosophical Society, 1-17. doi:10.1017/S0305004118000014. 2017 About Jarník-type relation in higher dimension, Annales de l’Institut Fourier, Annales de l’institut Fourier, 68 no. 1 (2018), pp. 131-150, doi: 10.5802/aif.3154. 2016 There is no analogue to Jarník’s relation for twisted diophantine ap- proximation, Monatshefte für Mathematik, 2016, Volume 181, Issue 3, pp. 675–688. 2015 Sur le spectre des exposants d’approximation diophantienne clas- siques et pondérés, PhD Thesis. Experience Project Important member of the FWF - RSF project Geometry of Numbers and Diophantine approximation, collaboration between Austria and Russia. Review Reviewer for Mathematical Reviews. Referee for Monatshefte für Mathematik, The American Mathematical Monthly, Journal de Théorie des Nombres de Bordeaux, and Publicationes Mathematicae. Teaching Autumn Metric Spaces MAT00037H, University of York, UK. 2017

2/7 May 2017 Recent aspects of Geometry of Numbers, Minicourse for PhD Student, TU Graz. March 2015 Tournoi Français de Jeunes Mathématiciennes et Mathématiciens (TFJM), Jury Member of a french young national tournament in mathematics. 2012-2015 Formal Calculus, First & Second year, Université de Strasbourg, France. >64 hours per year 2013-2015 Colles in Mathematics, Classes Préparatoires MPSI, Lycée Kleber (Stras- bourg, France, 2 hours weekly. Weekly oral interrogation for students preparing the nationwide competitive examination to the French Grandes Écoles. 2012-2013 Cercle Mathématiques, 2 hours weekly, Université de Strasbourg, France. Extra courses for interested High School Students to prepare for example for Interna- tional Mathematical Olympiad 2011-2012 Colles in Computerscience, Classes Préparatoires MPSI, Lycée Champollion (Grenoble, France), 4 hours weekly. Formal Calculus lecture and tutorial for students preparing the nationwide competitive examination to the French Grandes Écoles. 2010-2011 Colles in Mathematics, Classes Préparatoires MPSI & ENSD2, Lycée Chateaubriand & Lycée Vitor et Hélène Basch (Rennes, France), 3 hours weekly. Weekly oral interrogation for students preparing the nationwide competitive examination to the French Grandes Écoles. Conferences & Workshop 25-29 Mars Number Theory and Dynamics, Cambridge, UK. 2019 1-5 Oct. 6e Colloque international sur la théorie de la répartition uniforme – 2018 UDT2018 , CIRM, Luminy, France. 10-14 Sept. Approximation diophantienne et transcendance, CIRM, Luminy, France. 2018 20-25 Mai Géométrie diophantienne, CIRM, Luminy, France. 2018 4-8 Workshop: Fractals and Dimensions, Institut Mittag Leffler, Stockholm, December Sweden. 2017 17-22 July Combinatorics and Number theory, Vilnius, Lithuania. 2017 9-14 July Specialization Problems in Diophantine Geometry, Cetraro, Italy. 2017 12-30 June Géométrie d’Arakelov et application diophantiennes, Summer School, 2017 Institut Fourier, Grenoble, France. 13-17 March Dynamical systems in number theory, SFB Workshop by V. Bergel- 2017 son, Universität Salzburg, Salzburg, Austria. 14-18 Nov. Normal Numbers: Arithmetical, Computational and Probabilistic 2016 Aspects, Erwin Schrödinger Institut, Vienna, Austria.

3/7 5 Nov. 2016 Symposium Edmund Hlawka, Österreichiche Akademie der Wissenschaft, Vienna, Austria. 9-14 Oct. Arbeitsgemeinschaft: Diophantine Approximation, Fractal Geometry 2016 and Dynamics, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany. 5-9 Sept. ELAZ2016, Elementary and analytic number theory, Strobl am Wolf- 2016 gangsee, Austria. 20-24 June Rencontres Lyon/Ottawa: Algèbre et Théorie des Nombres, Lyon, 2016 France. 12-17 June LEUCA16, Michel Waldschmidt’s 70th Birthday , Patù, Italy. 2016 10-16 April Diophantische Approximationen, Mathematisches Forschungsinstitut Ober- 2016 wolfach, Oberwolfach, Germany. 15-19 Feb. Computational Aspects of Diophantine Equations, University of 2016 Salzburg, Salzburg, Austria. 19 Mai 2015 Numeration 2015, Université de Lorraine, Institut Élie Cartan, Nancy, France. 15-19 Sept. Approximation diophantienne et transcendance, Centre International de 2014 Rencontres Mathématiques (CIRM), Marseille, France. March 31 - Dynamics and analytic Number Theory, Easter School, Durham Univer- April 4, 2014 sity, UK. Sept.30- Thue 150, conferences dedicated to the 150th anniversary of Axel Thue, Uni- Oct.4, versité Bordeaux 1, France. 2013 1-5 July 2013 28th Journées Arythmétiques, Université Joseph Fourier , Grenoble, France. 17-28 June Number Theory and Dynamics, Summer School, Université Joseph Fourier, 2013 Grenoble, France. 18-22 March Equidistribution in Number Theory and Dynamics, FIM - Institute for 2013 Mathematical Research, ETH Zurich, Switzerland. Talks Invited talks 1 -5 july 2019 On the ratio between ordinary and uniform exponent of Diophantine approximation, Journées Arithmetiques, Istanbul, Turkey. 26-30 August About the variational principle in parametric geometry of numbers, 2019 Baikal Number Theory, Baikal, Russie. 4-8 Transference between homogeneous and inhomogeneous Diophantine December approximation on manifolds, Fractals and Dimensions, Institut Mittag- 2017 Leffler, Stockholm. Sweden

4/7 17-22 July Transference between homogeneous and inhomogeneous Diophantine 2017 approximation on manifolds, Combinatorics and Number theory, Vilnius, Lithuania. 5-9 sept. On the spectrum of exponents of Diophantine approximation, ELAZ 2016 16, Elementary and analytic number theory, Strobl am Wolfgangsee, Austria. 13-17 July Parametric Geometry of Numbers and uniform exponent, Diophantine 2015 Approximation and Related Topics, Aarhus. Danemark 13-15 Oct. About Diophantine exponents, Rencontres Doctorales Lebesgues, Rennes, 2014 France. Workshop 18 March Roy’s Theorem and its applications, Zahlentheoretisches Kolloquium, TU 2016 Graz, Graz, Austria. Seminars January 2019 Uniform and ordinary Diophantine exponent, Number theory seminar, Colorado University Boulder, USA. 18 Octobre Spectra of exponents of Diophantine approximation, Research Seminar, 2018 HRI, Allahabad, India. 10 Mai 2018 On spectra of Diophantine approximation exponents, Number Theory Seminar, Oxford, UK. 26 Feb. 2018 Principes de transfert diophantiens, Groupe d’Étude sur les Problèmes Diophantiens, Jussieu, Paris, France. 12 Dec. 2016 About spectra of Diophantine approximation, Xmas special seminar, University of York, York, UK. 5 August Parametric Geometry of Numbers, Seminar, TIFR, Mumbai, India. 2016 26-29 April Parametric Geometry of Numbers, Seminar and Lectures, Lomonosov 2016 Moscow State University, Moscow, Russia. 27 Jan. 2016 On the spectra of Diophantine approximation, Seminar, JKU, Linz, Austria. 13 November Parametric Geometry of Numbers, Seminar for Number Theory, TU, Graz, 2015 Austria. 13 March Géométrie paramétrique des nombres, PhD Study Group, LMB, Besançon, 2015 France. 12 Feb. 2015 Géométrie paramétrique des nombres, Number Theory Study Group, In- stitut Fourrier, Grenoble, France. 29 Jan 2015 Géométrie paramétrique des nombres, Analysis seminar, LMIA, Mulhouse, France. Feb. 2014 Exposants d’approximation diophantienne et spectre, PhD Study Group, Université de Strasbourg, France.

5/7 2 Oct. 2013 Approximations diophantiennes et spectre des exposants en dimen- sion 2, Number Theory Study Group, Université de Bordeaux, France. 15 Mai 2013 Spectrum of diophantine exponents, twisted case, Seminar for Number Theory and Algebra, University of Zagreb, Croatia. Visits November Tata Institut of Fundamental Research (TIFR), invited by Anish Ghosh, 2019 Mumbay, India. January 2019 Boulder University, invited by Wolfgang Schmidt, Boulder, CO, USA. October 2018 Tata Institut of Fundamental Research (TIFR), invited by Anish Ghosh, Mumbay, India. 3-16 June Research in Pairs in Oberwolfach, with Nikolay Moshchevitin, Oberwolfach, 2018 Germany. April 2017 Tata Institut of Fundamental Research (TIFR), invited by Anish Ghosh, Mumbay, India. 5-8 Dec. University of York, invited by Victor Beresnevich and Sanju Velani, York, 2016 UK. August 2016 Tata Institut of Fundamental Research (TIFR), invited by Anish Ghosh, Mumbay, India. April 2016 Lomonosov Moscow State University, invited by Nikolay Moschchevitin and Oleg German, Moscow, Russia. 10-22 Mai University of Zagreb, invited by Andrej Dujella, Croatia. 2013 References Yann Bugeaud, Nicolas Chevallier, Michel Laurent, Damien Roy, Leonhard Summerer, Robert Tichy, Nikolay Moshchevitin, Anish Ghosh, Sanju Velani Languages Native French Fluent German & English Abitur & TOEIC 985 Notions Spanish & Russian Basic words and phrases only Computing Skills LATEX, HTML, Maple, SAGE, OCaml, C++ Interests Reading Sylvain Tesson, JRR Tolkien, Heinrich Heine, Charles Baudelaire, . . . Sport Trail running and many mountain outdoor sports (cross-country and alpine ski, (ski) mountaineering, climbing, triathlon, . . . ), Team sports (Rugby, Ultimate, Soccer, . . . )

6/7 I attempted French University Championship in Run&Bike (silver medalist), Crosscountry (8th Team), Mountainbike (21st), Downhillski (17th). My toughest race was the Eiger Ultra Trail (101km, 7000mD+) and Hard- moors110 (182km, 5500mD+), the highest mountain I climbed is Mera Peak ( 6 467m) Volonteering I am an active member of Mountain Wilderness France, and won the first prize of Concours changez d’approche 2015. I am the initiator of the advertising 10 idées de sorties sans voiture dans le massif des Vosges. I am a moderator of the online topoguide camptocamp.org

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