CURRICULUM VITAE: Oleg Bogopolski

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1 CURRICULUM VITAE: Oleg Bogopolski March 14, 2017 I. Personal History and Professional Experience A. Educational Background and Degrees B.Sc. (with honors), Novosibirsk State University (Russia), June 1984 Ph.D. in Mathematics, Sobolev Institute of Mathematics (Novosibirsk, Russia), November 1987 Habilitation, Sobolev Institute of Mathematics (Novosibirsk, Russia), 2001 Second Habilitation, Düsseldorf University (Germany), 2010 B. List of Academic Positions since Final Degree Sobolev Institute of Mathematics (Novosibirsk, Russia): Junior Research Fellow, Research Fellow, Senior Research Fellow, Leading Research Fellow, 2001 present Novosibirsk State University, Russia (simultaneously) Assistant Professor, Associate Professor, Professor, Düsseldorf University (simultaneously) Research Fellow, 2009, 2011 Deputy Professor, since October 2011 C. Other Professional Employment Visiting Researcher, Centre de Recerca Matematica, Bellaterra (Spain), September-December 2004 DAAD (Germain Academic Exchange Service) Fellowship: Guest Professor at Dortmund University, Visiting Researcher, Centre de Recerca Matematica, Bellaterra (Spain), September 2007 Visiting Researcher, Max-Planck-Institute of Mathematics, Bonn (Germany), September-December

2 Visiting Researcher, Max-Planck-Institute of Mathematics, Bonn (Germany), September-December 2010 Research Fellow, Bielefeld University (Germany), January-March 2011 D. Honors and Recognition Winner of the contest Young Researchers at the Sobolev Institute of Mathematics (Novosibirsk) of Siberian Branch of the Russian Academy of Sciences, 1991 Mal cev Prize of Siberian Branch of the Russian Academy of Sciences, 1992 Grant of the President of Russian Federation for the best Habilitation in Mathematics DAAD (Germain Academic Exchange Service) Fellowship: Guest Professor at Dortmund University, E. Grants (travel grants are not included) Grant of RFBR N ( ). I was the main researcher in a team of 3 researchers. Theme: Hyperbolic groups, their automorphisms, and the theory of ends of groups. Supported by 3000 Euro. Grant N7 of the Siberian Branch of Russian Academy of Sciences for young researchers ( ). I was the main researcher in a team of 7 young researchers. Theme: Group theory. Supported by 4000 Euro. Grant of the President of Russian Federation for the best Habilitation in Mathematics (Grant M-(01) Nr and MD ). Theme: Geometric methods in group theory. Supported by 5000 Euro. International Grant INTAS N This grant was given to a team of researchers from Germany, Italy, and Russia ( ). The main coordinator of the project was Prof. C. Petronio (University of Pisa). I was supported by USD. I was the main organizer of the international conference Combinatorial and Geometric Group Theory with Applications, Technical University of Dortmund, August, gcgta/ Supported by grants of DAAD (5000 Euro) and DFG (7000 Euro). Grant of the Spanish Government: Movilidad de profesores visitantes en masteres oficiales, code MAS P, (2009). I gave 10 invited lectures for Ph.D students and professors at the Universitat Politecnica de Catalunya in Barcelona: Automorphisms of free groups and train tracks (5 lectures in April 2009) Hyperbolic groups (5 lectures in June 2009). 2

3 I was the main organizer of the international conference Geometric and Combinatorial Group Theory with Applications (GAGTA-6), Heinrich-Heine-Universität Düsseldorf, July 25 - August 3, gcgta/index.htm Supported by DFG (24000 Euro), by the Gesellschaft von Freunden und Förderern der H.-H.-Universität Düsseldorf (8000 Euro), and by Mathematical Institute of the H.-H.-Universität Düsseldorf (5000 Euro). Grant of the Gesellschaft von Freunden und Förderern der HHU for organisation of the Mathematics Academy 2016 [for pupils in age 16-18] (4000 Euro) F. Conference Talks and Talks on Research Seminars F1) Plenary and 1-hour Conference Talks since 2001 Sobolev Instutute of Mathematics (Novosibirsk, Russia), November 21-25, 2016, Mal cev Meeting, e.htm Plenary talk: From local to global conjugacy in relatively hyperbolic groups Stevens Institute of Technology (NY, USA), June 13-17, 2016, Geometric and Asymptotic Group Theory with Applications (GAGTA-10) Plenary talk: From local to global conjugacy in relatively hyperbolic groups Bedlewo (Poland), June 22-26, 2015, International conference Groups and their Actions, Main Speaker: Train Tracks Bonn (Germany) December 5, 2014, Geometric Group Theory in Bonn, Plenary talk: An algorithm for finding a basis of the fixed point subgroup of an automorphism of a free group Newcastle (QL, Australia), July 21-25, 2014, Geometric and Asymptotic Group Theory with Applications (GAGTA-8) Plenary talk: Infinite words and generalized presentations of groups versus classical combinatorial group theory New York (USA), May 28-31, 2013, Geometric and asymptotic group theory with applications (GAGTA-7), Plenary talk: An efficient algorithm for computing a basis of the fixed point subgroup of an automorphism of a free group South Padre Island (USA), March 21-24, 2013, G 3 -Conference, mineyev/ggg/ Plenary talk 1: Introduction to train tracks Plenary talk 2: An efficient algorithm for computing the fixed point subgroup of an automorphism of a free group 3

4 Barcelona-Bellaterra (CRM) (Spain), 10th November, 2012 Workshop for the International Conference Automorphisms of free groups. 1-hour talk: A basis of the fixed point subgroup of an automorphism of a free group Düsseldorf (Germany) July 25 - August 3, 2012, Geometric and Combinatorial Group Theory with Applications (GAGTA-6). Plenary talk: A basis of the fixed point subgroup of an automorphism of a free group Köln (Germany) September 19-22, 2011, Minisymposium Geometric Group Theory in frames of the DMV-Jahrestagung hour talk: Generalized presentations of infinite groups, in particular of Aut(F ω ) Manresa (Barcelona, Spain), July 11-15, 2011, International Conference Geometric and Asymptotic Group Theory Plenary talk: Some new residual properties of groups Omsk (Russia), August 16-22, 2009, International Workshop New Algebra-Logical Methods in Solution for Systems of Equations in Algebraic Structures 1-hour talk: Conjugacy separability for subgroups of virtually free groups Barcelona (Spain), April 24-25, 2009, 4th Barcelona Weekend in Group Theory. Invited talk: On endomorphisms of torsion-free hyperbolic groups Alagna Valsesia (Italy), December 14-20, 2008, Makanin-Razborov Workshop najd2/alagna/ 1-hour talk: On the fundamental and the first homology groups of the Hawaiian Earrings and of Griffiths space Düsseldorf (Germany), November 26-28, 2008, Workshop Algebra, Geometry, Arithmetic, Dynamics Related to the Solvable Radical and Representations of Finite Groups grunewald/conf2008/nov2008.html 1-hour talk: On the fundamental and the first homology groups of the Hawaiian Earrings and of Griffiths space Erlangen (Germany), September 14-19, 2008, Minisymposium Combinatorial and geometric group theory in frames of the DMV-Jahrestagung hour talk: A presentation of a subgroup of F n F n with unsolvable membership problem 1-hour talk: On the fundamental and the first homology groups of the Hawaiian Earrings and of Griffiths space Manresa, Barcelona (Spain), August 31 - September 4, 2006, International conference Geometric and asymptotic group theory with applications gagta/programen.shtml Plenary talk: On a Magnus property for some one-relator groups Piestany (Slovak Republic), July 16-20, 2005, Workshop Equations in Groups and Applications of Algebraic Methods in Computer Science and Cryptology 1-hour talk: Some methods of detecting the hyperbolicity for one relator groups 4

5 Novosibirsk (Russia), November 17-19, 2003, Mal cev Meeting 03, Plenary talk: On Dehn functions of groups Novosibirsk (Russia), November 21-23, 2001, Mal cev Meeting 01, win.htm Plenary talk: On Magnus theorem for fundamental groups of compact surfaces F2) Invited Courses 10 invited lectures for Ph.D students and professors at the Universitat Politecnica de Catalunya in Barcelona (Grant of the Spanish Government: Movilidad de profesores visitantes en masteres oficiales, code MAS P, 2009). Automorphisms of free groups and train tracks (5 lectures in April 2009) Hyperbolic groups (5 lectures in June 2009). F3) Invited Lectures on Research Seminars Nashville University (USA) (invited by Prof. Osin, March 2017) Stevens Institute of Technology (USA), Group Theory International, Online-Seminar (invited by Prof. Serbin, Mai 2016) Universitat Bielefeld (invited by Prof. Bux, April 2016) Macquarie University Sydney (Australia) (invited by Prof. Batanin, 2014) University of Melbourne (Australia) (invited by Dr. Lawrence Reeves, 2014) Stevens Institute of Technology (USA), Group Theory International Online-Seminar (invited by Prof. Serbin, April 2014) University of Illinois at Urbana Champaign (USA) (invited by Prof. Mineyev, March 25-29, 2013) Stevens Institute of Technology (USA), Group Theory International Online-Seminar (invited by Prof. Miasnikov, 2012) Bar-Ilan University (Israel) (invited by Prof. Tsaban, 2011) Kiel University (Germany) (invited by Prof. Weidmann, 2011) Karlsruhe Institute of Technology (Germany) (invited by Prof. Rieder, 2010) Moscow MGU (Russia) (invited by Prof. Klyachko, 2010) Düsseldorf University (Germany) (2 times; invited by Prof. Grunewald, 2009) MPIM Bonn (3 times; invited by Prof. Moree und Prof. Ballmann, 2008, 2010) Newcastle (Great Britain) (invited by Prof. Duncan, 2007) Edinburgh (Great Britain) (invited by Prof. Howie, 2007) Barcelona (Spain) (2 times; invited by Prof. Ventura, 2005, 2007) Lausanne (Switzerland) (invited by Prof. Bartholdi, 2006) Toulouse (France) (invited by Prof. Boileau, 2004) Gdansk (Poland) (5 times; invited by Prof. Szepanski and Zastrow) Berlin (Germany) (2 times; invited by Prof. Pinkall, Pohst, and Brinkmann, 2005) Bielefeld (Germany) (2 times; invited by Prof. Helling) Frankfurt (Germany) (6 times; invited by Prof. Bieri, Burde und Metzler) Dortmund (Germany) (3 times; invited by Prof. Rosenberger) Bochum (Germany) (6 times; invited by Prof. Zieschang) 5

6 F4) Sectional Conference Talks Braunschweig (Germany), May 21-24, 2013, Workshop Questions, Algorithms, and Computations in Abstract Group Theory, algebra/ws-qac/index.php Talk: An efficient algorithm for computing the fixed point subgroup of an automorphism of a free group Braniewo (Poland), July 24-25, 2010, Weierstraß-Killing-Colloquium. Talk: On generalized conjugacy separability in the class of virtually free groups Novosibirsk (Russia), August 24-28, 2009, Mal tsev Meeting Talk: Conjugacy separability for subgroups of virtually free groups Göttingen (Germany), November 17-21, 2008, Summer School Geometric invariants of groups Talk: On the fundamental and the first homology groups of the Hawaiian Earrings and of Griffiths space Oberwolfach (Germany), June 22-28, 2008, Workshop Profinite and Asymptotic Group Theory Talk: The conjugacy problem for some extensions of groups and a presentation of Mihailova s subgroup Bendlewo (Poland), July 1-7, 2007, International conference Groups and their actions Talk: Subgroups of small index in Aut(F n ) and Kazhdan s property (T) Marseille, CIRM (France), February 26 - March 2, 2007, International conference Groups coulbois/groups007/index.html Talk: Subgroups of small index in Aut(F n ) and Kazhdan s property (T) Novosibirsk (Russia), November 15-17, 2005, Maltsev Meeting e.htm Talk: On the generalized Whitehead problem for hyperbolic groups Barcelona (Spain), June 28 - July 2, 2005, Barcelona Conference on Geometric Group Theory. Talk: Endomorphisms of hyperbolic groups 6

7 Mainz (Germany), June 16-19, 2005, 2nd Joint Meeting of AMS, DMV, ÖMG Two talks: 1) The conjugacy problem in free-by-hyperbolic groups 2) On the generalized Whitehead problem for hyperbolic groups Bendlewo (Poland), April 18-24, 2004, Conference on Geometric group theory Talk: Mean Dehn functions of groups Sankt Petersburg (Russia), September 11-22, 2002, International Algebraic Conference dedicated to the memory of Z.I. Borevich Talk: An analogue of a theorem of Magnus for fundamental groups of surfaces Sevilla (Spain), June 18-21, 2003 First Joint Meeting AMS/RSME burillo/sevilla.html Talk: An analogue of a Magnus theorem for surface groups and some other one-relator groups Ustron (Poland), June 10-14, 2003, International conference Groups and Group Rings Gaeta (Italy), June 1-6, 2003, International Conference Geometric, Combinatorial and Dynamical Aspects of Infinite Groups Earlier conferences with sectional talks: Cortona (Italy), 2002; Hattingen (Germany), 2001; Haifa (Israel), 2000; Warwick (England), 1999; Southampton (England), 1997; Anogia, Crete (Greece), 1996; L vov (Ukraine), 1987; Gomel (Belorussia), 1986 Krasnoyarsk (Russia), August 23-28, 1993, The IIIrd International Conference on Algebra Plenary talk: Finitely generated groups with the M. Hall property 7

8 G. Organization of International Conferences I am a member of the Steering Committee of GAGTA, This committee organizes conferences in geometric and combinatorial group theory. Main organizer of the international conference Geometric and Combinatorial Group Theory with Applications (GAGTA-6), Heinrich-Heine-Universität Düsseldorf (Germany), July 25 - August 3, gcgta/ Organizer of the minisymposium in frames of the DMV-Jahrestagung 2011 Geometric Group Theory, Universität Köln (Germany), September 19-22, /index/minisymposien.html Member of the Scientific Committee of the international conference Geometric and Asymptotic Group Theory with Applications (GAGTA-5), Manresa, Barcelona (Spain), July 11-15, gagta5 Main organizer of the minisymposium in frames of the DMV-Jahrestagung 2008 Combinatorial and geometric group theory, Universität Erlangen (Germany), September 14-19, dmvadmin/dmv08/vortragprogramm/minisymposien.shtml Main organizer of the international conference Combinatorial and Geometric Group Theory with Applications, Technische Universität Dortmund (Germany), August 27-31, gcgta Coorganizer of the Malt sev Meeting, Institute of Mathematics of SB RAS, Novosibirsk (Russia), November 17-19, H. Supervision of Ph.D Students E. Schesler: Subgroups growth rate for relatively hyperbolic groups (started August 2016) C. Feldkamp: Magnus theorems for abstract and pro-finite groups (started October 2015) T. Leßmann: Some algorithmic problems for automorphisms of free groups (July 2016) A. Elsawy: Subgroup conjugacy separability property (2012) K. Sviridov: Magnus property and hyperbolic groups (2011) N. Buskin: One-relator hyperbolic groups (2009) O. Maslakova: Fixed-point subgroups of automorphisms of free groups (2004) 8

9 II. Publications A) Books (Author) 1. Bogopolski O., Introduction to Group Theory, European Mathematical Society Publishing House, Zürich, February 2008, 177 pages. (This is an extended English edition of the next book in the list.) 2. Bogopolski O.V., Introduction to Group Theory, Scientific-publishing Center Institute of Computer Science, Moscow-Izevsk, 2002, 148 pages (in Russian). B) Books (Editor) 3. Bogopolski O.V., ed. of the translation (in Russian) and the author of the preface to the book of M. Gromov, Hyperbolic groups, Scientific-publishing Center Institute of Computer Investigations, Moscow-Izevsk, (Translated from: M. Gromov, Hyperbolic groups, Essays in group theory [S. M. Gersten, ed.], MSRI Publ. 8, Springer-Verlag, 1987, ) 4. Bogopolski O.V., Bumagin I., Kharlampovich O., Ventura E. (eds.), Combinatorial and Geometric Group Theory. Dortmund and Ottawa-Montreal conferences, New Trends in Mathematics, Birkhäuser, Bogopolski O., Kharlampovich O., Myasnikov A., Sapir M. (eds.), Proceedings of the conference Geometric and Asymptotic Group Theory with Applications (GAGTA-5), International Journal of Algebra and Computation (special issue), Vol. 22, N 8, C) Articles and Preprints 6. Bogopolski O., Bux K.-U., From local to global conjugacy of subgroups of relatively hyperbolic groups, 15 pages. Accepted to International J. of Algebra and Computation, Available at 7. Bogopolski O., Bux K.-U., On subgroup conjugacy separability of hyperbolic QVH-groups, 22 pages. Available at 8. Bogopolski O., Maslakova O., An algorithm for finding a basis of the fixed point subgroup of an automorphism of a free group, International J. of Algebra and Computation, 26 (1) (2016), Bogopolski O., Zastrow A., An uncountable homology group, where each element is an infinite product of commutators, Topology and its Applications, 197 (1) (2016), Bogopolski O., Maslakova O., An efficient algorithm for finding a basis of the fixed point subgroup of an automorphism of a free group, Extended Abstracts Fall Automorphisms of Free Groups, Birkhäuser s series: Trends in Mathematics, Vol. 1, 2014; pages Bogopolski O., Bux K.-U., Subgroup conjugacy separability for surface groups, Preprint (2014), 22 pages. Available at Bogopolski O., Singhof W., Generalized presentations of infinite groups, in particular of Aut(F ω ), Intern. Journal of Algebra and Computation, v. 22, n. 8 (2012), 39 pages. 9

10 13. Bogopolski O., Abstract commensurators of solvable Baumslag-Solitar groups, Communications in Algebra, v. 40, issue 7 (2012), Bogopolski O., Zastrow A., The word problem for some uncountable groups given by countable words, Topology and its Applications, v. 159, issue 3 (2012), Bogopolski O., Ventura E., On endomorphisms of torsion-free hyperbolic groups, International Journal of Algebra and Computations, v. 21, n. 8 (2011), Bogopolski O., Grunewald F., On subgroup conjugacy separabiltiy in the class of virtually free groups, Max-Planck-Institute of Mathematics Preprint Series, n. 110 (2010), 18 pages. 17. Bartholdi L., Bogopolski O., On abstract commensurators of groups, Journal of Group Theory, v. 13, n. 6 (2010), Bogopolski O., Ventura E., A recursive presentation for Mihailova s subgroup, Groups, Geometry and Dynamics, v. 4, Issue 3 (2010), Bogopolski O., Vikentiev R., Subgroups of small index in Aut(F n ) and the Kazhdan property (T), in Combinatorial and Geometric Group Theory. Dortmund and Ottawa-Montreal conferences, Bogopolski O.V., Bumagin I., Kharlampovich O., Ventura E. (eds.), pp. 1-17; New Trends in Mathematics, Birkhäuser, Bogopolski O., Martino A., Ventura E., Orbit decidability and the conjugacy problem for some extensions of groups, Transactions of the American Mathematical Society, v. 362, no. 4 (2010), Bogopolski O., Sviridov K., A Magnus theorem for some one-relator groups. In the Geometry and Topology Monograph. The Zieschang Gedenkschrift (ed. R. Weidmann, M. Boileau, M. Scharlemann), v. 14 (2008), Bogopolski O., Ventura E., The mean Dehn functions of abelian groups. Journal of Group Theory, v. 11, n. 4 (2008), Baumslag G., Bogopolski O., Fine B., Gaglione A., Rosenberger G., Spellman D., On some finiteness properties in infinite groups, Algebra Colloquium, 15, n. 1 (2008), Bogopolski O., The conjugacy problem for some extensions of groups and a presentation of Mihailova s subgroup, Oberwolfach Reports (EMS Publishing House), v. 5, issue 2 (2008), pp Bogopolski O., Buskin N., Buturlakin A., A classification, up to hyperbolicity, of groups given by 2 generators and one relator of length 8, Preprint N 764 of CRM (Centre de Recerca Matematica), Barcelona, 2007, 16 pages. Available at Bogopolski O., Martino A., Ventura E., The automorphism group of a free-by-cyclic group in rank 2, Communications in Algebra, v. 35, issue 5 (2007), Bogopolski O., Martino A., Maslakova O., Ventura E., Free-by-cyclic groups have solvable conjugacy problem, Bulletin of the London Math. Soc., v. 38, part 5 (2006), Bogopolski O., A surface group analogue of a theorem of Magnus, in Geometric Methods in Group Theory, Contemp. Math., vol. 372, Amer. Math. Soc., Providence, RI, 2005, pp

11 29. Bogopolski O., Kudrjavtseva E. and Zieschang H., Simple curves and an analog of a theorem of Magnus for surface groups, Mathematische Zeitschrift, Heft 247, No. 3 (2004), Bogopolski O.V., Decompositions of fundamental groups of compact surfaces into free constructions, Geometriae Dedicata, v. 94 (2002), Bogopolski O. and Weidmann R., On the uniqueness of factors of amalgamated products, J. Group Theory, v. 5 (2002), Bogopolski O.V. and Puga D.V., On embeddings of Out(F n ), the outer automorphism group of the free group of rank n, into Out(F m ) for m > n, Algebra and Logic, v. 41, no. 2 (2002), Bogopolski O.V., The automorphic conjugacy problem for subgroups of fundamental groups of compact surfaces, Algebra and Logic, v. 40, no. 1 (2001), Bogopolski O.V., Classification of automorphisms of the free group of rank 2 by ranks of fixedpoint subgroups, J. Group Theory, v. 3, no. 3 (2000), Bogopolski O.V., Infinite commensurable hyperboloic groups are bi-lipschitz equivalent, Algebra and Logic, v. 36, no. 3 (1997), Bogopolski O.V., Classification of actions of finite groups on orientable surface of genus 4, Proceedings of the Institute of Mathematics of Siberian Branch of Russian Academy of Sciences, v. 30 (1996), (in Russian), English translation in: Siberian Advances in Mathematics, v. 7, no. 4 (1997), Bogopolski O.V., Generalized ends of hyperbolic groups, Bericht Nr. 207, August 1996, Fakultät für Mathematik der Ruhr-Universität Bochum, 13 pages. 38. Bogopolski O.V. and Gerasimov V.N., Finite subgroups of hyperbolic groups, Algebra and Logic, v. 34, no. 6 (1995), Bogopolski O.V., Almost free groups and the M. Hall property, Algebra and Logic, v. 33, no. 1 (1994), Bogopolski O.V. and Vasil ev V.A., On the multiplicity of illumination of convex bodies by point sources, Math. Notices, v. 54, no. 4 (1993), Bogopolski O.V., Finitely generated groups with the M. Hall property, Algebra and Logic, v. 31, no. 3 (1992), Bogopolski O.V., On the conjugacy problem for automorphisms of free groups, Algebra and Logic, v. 28, no. 1 (1989), Bogopolski O.V., On stabilizers of quadratic words in the automorphism group of a free group, deposited in the Institute of Scientific and Technical Information of USSR, no B87, 1987, 19 pages (in Russian). 44. Bogopolski O.V., Stabilizer of the product of two commutators in the automorphism group of free group of rank four, Preprint no. 13, 1987, Novosibirsk, Institute of Mathematics of Siberian Branch of the USSR Academy, 26 pages (in Russian). 45. Bogopolski O.V., Arboreal decomposability of groups of automorphisms of free groups, Algebra and Logic, v. 26, no. 2 (1987),

12 D) Doctoral Thesis Title 46. Bogopolski O., Automorphisms of free groups, Ph.D. dissertation, Novosibirsk, Institute of Mathematics of Siberian Branch of the USSR Academy of Sciences, 1988, 83 pages (in Russian). E) Habilitation Thesis Title (I am habilitated in Russia and in Germany on two different topics) 47. Bogopolski O., Decompositions and automorphisms of fundamental groups of compact surfaces, Habilitation in Russia, Novosibirsk, Institute of Mathematics of Siberian Branch of Russian Academy of Sciences, 2000, 142 pages (in Russian). 48. Bogopolski O., Lösbarkeit und Unlösbarkeit einiger algorithmischer Probleme der Gruppentheorie ( Decidability and undecidability of some algorithmic problems in group theory ), Habilitation, Heinrich-Heine-Universität Düsseldorf (Germany), 2010, 148 pages. F) Other mathematical papers 49. Bogopolski O., Mikhail Gromov. Premi Abel 2009, SCM Noticies [Societat Catalana de Matematiques Noticies], Numero 27 (2009),

CURRICULUM VITAE: Oleg Bogopolski

CURRICULUM VITAE: Oleg Bogopolski Oleg Bogopolski Mathematisches Institut Heinrich-Heine-Universität Düsseldorf Universitätsstraße 1 D-40225 Düsseldorf Tel.: +49(0)211-81-12173 E-mail: bogopolski@math.uni-duesseldorf.de Meine Homepage: