Valdo Tatitscheff –

59, rue de Zurich 67 000 Strasbourg France H +33 6 51 35 18 12 Valdo Tatitscheff B valdo.tatitcheff@normalesup.org Education and Research Experiences sept.2018-sept.2021 PhD in Mathematics, IRMA, Strasbourg, under the supervision of Prof. V. Fock. Subject: Dimer integrable systems jan.2018-jun.2018 Research internship, City, UoL, London, under the supervision of Prof. Y.H He. Dessins d’enfants, Monstrous Moonshine and cusps of Hecke congruence groups nov.2017-dec.2017 Solvay doctoral school in theoretical physics, Paris (nov.) and Amsterdam (dec.). Topics: Supersymmetry (Paris session) and AdS/CFT correspondence (Amsterdam session) oct.2017 Master’s degree in Mathematics, UPMC, Paris, with honours. Subject of the thesis: Super-Teichmüller spaces, V. Fock (IRMA) 2015-2017 Theoretical Physics, ICFP, Paris. During the academic year 2015-2016, I followed and validated the classes Quantum Field Theories, Quantum Chromodynamics and Introduction to the bosonic string of the M2 ICFP. The next year I discovered large-N expansions in QFTs and two-dimensional supersymmetric QFTs under the kind supervision of Prof. A.K. Kashani-Poor. sept.2015 Bachelor’s degrees in Mathematics and Physics, Paris XIII, Paris, with honours. Subject: In which sense do Maxwell equations already contain hints of QFTs ? T. Lévy (UPMC) BSM Physics through effective approaches of the di-Higgs coupling at LHC. R. Salerno (LLR) jul. 2014 Admission at the Ecole Normale Supérieure de la rue d’Ulm. Research Interests Cluster varieties, with V. Fock. One of the topics I’m working on at the time of writing (and which forms the main subject of my PhD) consists of the theory of cluster integrable systems. These are finite-dimensional integrable system, with a phase space which enjoys nice properties commonly shared by cluster varieties. In particular: canonical deformation quantization for the X -version, and a motivic avatar in the A-case. The link with algebraic K-theory let us hope for some relationship between cluster integrable systems, and the higher-Teichmüller theory - as well as exact WKB, BPS states in string theory and the Spectral Networks defined by Gaiotto, Moore and Neitzke. Brane tilings and dynamical supersymmetry breaking, with R. Argurio, M. Bertolini, E. García-Valdecasas, A. Pasternak and S. Meynet. One way to extend the original setting of the AdS/CFT correspondence has been to consider IIB string backgrounds in which regular D3-branes are placed at the tip of an affine toric Calabi-Yau 3-fold X. In that case, one gets an equivalence between supergravity on some Sasaki-Einstein 5-manifold Y5 over which X is the real cone, and a special type of 4d quiver gauge theory with N = 1 supersymmetry (and in some special cases, N = 2), which can be completely encoded in an embedding of a bipartite graph on a torus, in such a way that the faces are topological disks, plus an additional minimality condition. These theory are believed to flow to superconformal fixed points in the IR. If one places fractional branes on top of the regular ones in the geometric background, the superconfomality is broken and now the theory flows. The question is to understand whether in the extreme IR one can obtain some of the "canonical" N = 1 dynamical supersymmetry breaking models, such as the SU(5) model, or the 3 − 2 model, using such tools. Duality cascades and dimer integrable systems. Brane tilings, which are a natural setting for generalisations of Strassler and Klebanov duality cascades, seem to be very related to a special class of cluster integrable systems defined by Goncharov and Kenyon using bipartite surface graphs and dimer techniques. I would like to understand more deeply these links. Exceptional objects. I am also interested in Monstrous Moonshine type of correspondences, on which I had the chance to work for a while, when in London, with Prof. Yang-Hui He. Teaching Experiences jan.-jun. 2020 Maths pour la Science, 2., Université de Strasbourg, Strasbourg. This is a class for first-year students from the physics department, which could be called a first course in Linear Algebra. mar. 2018 Teaching replacements, City, UoL, London. Replacements of Prof. Yang-Hui He { Introduction to Mathematical Physics, 3rd year of Bachelor (2 hours) { Applied Mathematics, 2nd year of Bachelor (6 hours) oct.2014-jun.2017 Khôlles, Lycée Stanislas, Paris. The goal of khôlles in Classes Préparatoires is to provide the students a regular and specific training for the competition that they will pass at the end of these two years of Classes Préparatoires, called Concours pour les grandes écoles. As during the real oral exams, each student has to solve exercises on the blackboard, that are chosen by the examiner. A generic khôlle lasts one hour, during which three students are given different exercices at the same time. { 2014-2015 Chemistry in second-year PSI∗ (one hour a week) { 2015-2016 - Physics and Chemistry in second-year PSI∗ (one hour a week) - Mathematics in first-year MPSI (one hour a week) - Mathematics in first-year PCSI (one hour a week) { 2016-2017 Mathematics in first-year PCSI (one hour a week) mar. 2015 Exam marking, Lycée Stanislas, Paris. Marking of the mathematics mock exam of second-year students (approx. 180 examination scripts) Publications 7th Feb. 2019 A short introduction to Monstrous Moonshine, arXiv:1902.03118. 31st Dec. 2018 Cusps, Congruence Groups and Monstrous Dessins, arXiv:1812.11752. Co-authored with Prof. Y.H He and Prof. J. McKay. Languages French Motherthongue English Bilingal German Basic working knowledge Miscellanous 2013-2018 Youth monitoring, in the french Scout Association EEUdF. I have been scout leader of 8 to 12 years-old children between sept. 2013 and aug. 2015, then scout leader of 12 to 16 years-old children between sept. 2015 and aug. 2018. This activity consisted of approx. one week-end leadership each month (during the academic year), and of three weeks of summer camp in July. I got the national youth monitoring qualification BAFA in 2016 and the first half of the camp-director qualification BAFD in 2017. 2005-2016 Trumpet studies, at the conservatoire municipal Charles Munch, Paris. I still play the trumpet nowadays, and enjoy music a lot. 2013 45th International Chemistry Olympiads, for the french national team, Moscow, Russia. My final rank was 84th (silver medal) ICFP Theoretical Physics - 2015-2016 Quantum field theories, A. Bilal. Introduction to QCD. String theory (bosonic strings), J. Troost, I chose the topic of my final project to be on a homological picture of the Fadeev-Popov procedure and BRST quantization.. UPMC Fundamental Mathematics - 2016-2017 Géométrie différentielle et Riemannienne, J. Marché. Introduction à la géometrie algébrique, I. Itenberg. Introduction aux surfaces de Riemann, M. Maculan. Algèbre homologique et cohomologie des faisceaux, F. Loeser. Géométrie complexe et théorie de Hodge, J. Cao. Topologie algébrique, A. Oancea. Variations de structures de Hodge, B. Klinger. Théorie de Hurwitz, P. Georgevia. Master thesis Description of super-Teichmüller spaces as moduli spaces of graph connections, under the kind supervision of V. V. Fock. Solvay doctoral school - Paris, nov. 2017 4-dimensional supersymmetry and MSSM, U. Ellwanger. Introduction to Supergravity, A. van Proeyen. Introduction to Superstrings, C. Bachas. Lie algebras in Physics, A. Kleinschmidt. Solvay doctoral school - Amsterdam, dec. 2017 QFT in curved spaces, G. Pimentel. Topics in large N, D. Anninos. Introduction to AdS/CFT, K. Papadodimas. Applied AdS/CFT, J. Sonner. Introduction to Resurgence, M. Vonk.