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1 Curriculum Vitae Artem Dudko Position: Milnor Lecturer at the Institute for Mathematical Sciences at the State University of New York, Stony Brook. Address: Institute for Mathematical Sciences Stony Brook University Stony Brook NY , USA Telephone: (631) , Fax: (631) Education: PhD student September, 2008 July, Mathematics Department, University of Toronto Supervisor: Michael Yampolsky Thesis title: Dynamics of holomorphic maps: Resurgence of Fatou coordinates, and polytime computability of Julia sets. M.Sc. student September, 2006 May, 2007: Diploma magna cum laude Mathematics Department, Karazin Kharkiv National University, Ukraine Supervisor: Nikolai Nessonov B.Sc. September, 2002 May, 2006: Diploma magna cum laude Mathematics Department, Karazin Kharkiv National University, Ukraine Supervisor: Nikolai Nessonov Main areas of interest: Holomorphic Dynamics, Parabolic Renormalization, Resurgence Theory, Computability and Computational Complexity in Dynamics Representations of infinite-dimensional groups, Groups acting on rooted trees, Self-similar groups, Spectral Theory, Ergodic Theory

2 Publications: On irreducibility of Koopman representations of Higman-Thompson groups, arxiv.math.rt/ (joint with R. Grigorchuk) On spectra of Koopman, groupoid and quasi-regular representations, arxiv:math.rt/ (joint with R. Grigorchuk) On irreducibility and disjointness of Koopman and quasi-regular representations of weakly branch groups, accepted to Modern Theory of Dynamical Systems: A Tribute to Dmitry Victorovich Anosov, AMS Cont. Math. Ser. (2016); arxiv:math.rt/ (joint with R. Grigorchuk) On diagonal actions of branch groups and the corresponding characters, arxiv:math.rt/ (joint with M. Yampolsky) Poly-time Computability of the Feigenbaum Julia set, Ergodic Theory and Dynam. Sys., to appear. (joint with D. Sauzin) On the resurgent approach to Ecalle-Voronin's invariants, Comptes Rendus Mathematique, Volume 353, 3 (2015), (joint with D. Sauzin) The resurgent character of the Fatou coordinates of a simple parabolic germ, Comptes Rendus Mathematique, Volume 352, 3 (2014), Computability of the Julia set. Nonrecurrent critical orbits, Discrete and Continuous Dynamical Systems, Volume 34, 7 (2014), (joint with K. Medynets) Finite Factor Representations of Higman-Thompson groups, Groups, Geometry, and Dynamics, 8 (2014). (joint with K. Medynets) On Characters of Inductive Limits of Symmetric Groups, Journal of Functional Analysis 264 (2013), no.7, Characters on the Full Group of an Ergodic Hyperfinite Equivalence Relation, Journal of Functional Analysis, 261 (2011), no. 6, (joint with S. Favorov), A uniformly spread measure criterion, Anal. Math. Phys., Volume 1, 2-3 (2011), (joint with T. Banakh and D. Repovš) Symmetric monochromatic subsets in colorings of the Lobachevsky plane, Discrete Math. Theor. Comput. Sci. 12 (2010), no. 1, A description of characters on generalized groups of motions associated with GL(,Fq), (Russian) Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki 2008, no. 10, (joint with N. Nessonov), Invariant states on the wreath product, arxiv: math.rt/ v1, 37pp.

3 (joint with N. Nessonov), Characters of projective representations of the infinite generalized symmetric group, (Russian) Mat. Sb. 199 (2008), no. 10, 3 32; translation in Sb. Math. 199 (2008), no. 9 10, (joint with N. Nessonov), Projective characters of the infinite generalized symmetric group, (Russian) Funktsional. Anal. i Prilozhen. 42 (2008), no. 1, 82 85; translation in Funct. Anal. Appl. 42 (2008), no. 1, (joint with N. Nessonov), A description of characters on the infinite wreath product, Methods Funct. Anal. Topology 13 (2007), no. 4, Tame representations of the group GL(,Fq) (Russian) Algebra i Analiz 18 (2006), no. 2, 57 79; translation in St. Petersburg Math. J. 18 (2007), no. 2, Recent invited talks: November 12, 2015, On Koopman, groupoid and quasi-regular representations and weakly branch groups, Geometric and Probabilistic Methods in Group Theory and Dynamical Systems, Texas A&M University, USA. September 12, 2014, On diagonal actions of branch groups and the corresponding characters, Linear Analysis Seminar, Texas A&M University, USA. September 10, 2014, Representations associated with group actions and spectra of Hecke type operators, Groups and Dynamics Seminar, Texas A&M University, USA. February 25, 2014, On characters of approximately finite groups and Higman-Thompson groups, Groups acting on rooted trees and around, Paris, France. December 8, 2013, The Julia set of the Feigenbaum map is poly-time computable, Holomorphic dynamics and related topics, CMS Winter meeting, Ottawa, Canada. October 17, 2013, On the resurgent approach to local dynamics of simple parabolic germs, Topological and Combinatorial Problems in One-dimensional Complex Dynamics, Pisa, Italy. April 28, 2013, On Characters of Approximately Finite Groups and the Higman-Thompson Groups, Von Neumann Algebras and Ergodic Theory, Vanderbilt University, USA. January 21, 2013, Dynamics of parabolic germs via Resurgence Theory, Dynamical Systems Seminar, University of Toronto, Canada. February 16, 2012, Computability of Julia sets: a survey, Ergodic Theory and Probability Seminar, The Ohio State University, USA. September 9, 2011, On characters of inductive limits of symmetric groups, Workshop on Symmetric Functions and its Applications, City University of New York, USA.

4 May 4, 2011, Ecalle-Voronin invariants and resurgent functions, Dynamical Systems Seminar, Centro di Ricerca Matematica Ennio de Giorgi, Pisa, Italy. Awards, Prizes, and Scholarships: Daniel B. DeLury Teaching Award, University of Toronto, 2012 Connaught Graduate Scholarship (a renewable entrance award aimed at attracting excellent international students), (Connaught Foundation) Ontario Graduate Scholarship (one of 50 foreign winners among all Ontario graduate applicants), Award of National Academy of Science of Ukraine, 2007 Scholarship to attend the First Ukraine-Canada Summer School in Mathematics: Dynamical systems and Related Topics (among 8 selected Ukrainian applicants), Fields Institute, Canada, August 14 August 26, 2006 Ukraine Presidential Scholarship, Silver medal on International Mathematical Olympiad at Glasgow, Great Britain, 2002 Silver medal on International Mathematical Olympiad at Washington, USA, 2001 Awards on Ukrainian Republican Mathematical Olympiads: 2002 and 2000 second prize 2001 and 1999 first prize Awards on Ukrainian Mahtematical Soros Olympiads: Kiev, 2000 second prize Artek,1999 second prize Award for successful participation in Summer Conference of the Tournament of Towns, Maloyaroslavets, Russia, 2000 Other services to the mathematical community: Reviewed papers for: Mathematical Reports - Comptes rendus mathématiques Communications in Mathematical Physics Mathematical Reviews Fall 2012 present time: editor of the IMS preprint series. Fall 2012: ran mini-course on Dynamics of parabolic germs via Resurgent Theory. Fall 2011: coordinated the Dynamics Learning Seminar at the Mathematics Department of the University of Toronto : ran the Graduate Student Seminar at the Mathematics Department of the University of Toronto : ran math circles for high school students at the University of Toronto, Mississauga and St. George campuses ran math circles for high school students at the Academic Gymnasium 45, Kharkiv, Ukraine.

5 Teaching experience at the State University of New York, Stony Brook: Fall 2015 lecturer for MAT118: Mathematical thinking. Spring 2015 lecturer for MAT303: Calculus IV with applications. Fall 2014 lecturer for MAT303: Calculus IV with applications. Spring 2014 lecturer and course coordinator for MAT126: Calculus B. Fall 2013 lecturer for MAT127: Calculus C. Spring 2013 lecturer for MAT123: Pre-Calculus. Fall 2012 lecturer for MAT303: Calculus IV with applications. Teaching experience at the University of Toronto: Fall 2011 lecturer for MAT242H Differential Equations at the University of Toronto, Mississauga. Teaching assistant for: Summer 2012 MAT334, Complex variables Spring 2012 MAT1002/454, Complex analysis, graduate course Spring 2012 MAT334, Complex variables Spring 2012 MAT224, Linear algebra II Fall 2011 MAT389, Complex analysis for engineering Fall 2011 MAT334, Complex variables Summer 2011 MAT133, Calculus & Linear Algebra for commerce MAT133Y, Calculus & Linear Algebra for commerce Fall 2010 MAT389, Complex analysis for engineering Spring 2010 MAT334, Complex variables Fall 2009 MAT389, Complex analysis for engineering Fall 2009 MAT188, Linear algebra Spring 2009 MAT195, Calculus for engineering Fall 2008 MAT194, Calculus for engineering Fall 2008 MAT294, Calculus and differential equations Languages: Native: Russian and Ukrainian. Fluent: English. Social activities: March 2010 and March 2011 co-organized Math Graduate Student Association (MGSA) Talent Show : Treasurer of MGSA of the University of Toronto : Vice President of MGSA of the University of Toronto. Hobbies: guitar, singing, rock climbing.

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