Curriculum Vitae of Artem A. Lopatin 1. Curriculum Vitae. Artem A. Lopatin. Personal Data. Representations of Quivers and their Generalizations

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1 Curriculum Vitae of Artem A. Lopatin 1 Curriculum Vitae Artem A. Lopatin Personal Data Date of Birth: May 25, Place of Birth: Omsk, Russia. URL: lopatin artem lopatin@yahoo.com Research interests Representations of Quivers and their Generalizations Invariant Theory PI-algebras Education Sept. 2004: June 2002: Ph.D., Mathematics, Omsk State University, Advisor: professor Alexandr N. Zubkov. Thesis: Generating Systems for Invariant Algebra of Representations of Quivers. Diploma, Mathematics (with honours), Omsk State University (Russia). Employment Nov Oct. 2009: Since Feb. 2008: Oct Jan. 2008: Sept May 2003: Principal Investigator, Bielefeld University (Germany), sponsored by DFG. Senior Researcher at Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Omsk. Researcher at Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Omsk. Teaching Assistant at Omsk State Technical University.

2 Curriculum Vitae of Artem A. Lopatin 2 Grants, Fellowships, Visits Nov. 1, 2011 Dec. 31, 2011: Sep. 1, 2011 Oct. 31, 2011: Oct. 1, 2010 Nov. 30, 2010: Oct. 1, 2008 Oct. 30, 2008: Oct July 2007: Sept. 1, 2006 Sept. 30, 2006: Oct Dec. 2005: Oct March 2005: March 2001 Feb. 2002: Bielefeld University (Germany), sponsored by SFB grant. Bielefeld University (Germany), sponsored by DAAD. Max Planck Institute for Mathematics (Bonn, Germany). Bielefeld University (Germany), sponsored by SFB grant. DAAD grant for young scientists (Forschungsstipendien für Doktoranden und Nachwuchswissenschaftler), to visit Bielefeld University (Germany). University Tor Vergata (Rome, Italy), visiting scientist. University of Antwerp (Belgium), sponsored by Marie Curie Research Training Network Liegrits. Programme Michail Lomonosov of DAAD and Russian Ministry of Education, to visit Bielefeld University (Germany). Potanin Charitable Foundation Grant for the best students. Other Activities Reviewer for Mathematical Reviews (AMS): 27 reviews. Reviewer for Zentralblatt MATH: 15 reviews.

3 Curriculum Vitae of Artem A. Lopatin 3 Participation at Conferences and Seminars I gave talks at the following occasions: Conferences International Conference on Ring Theory dedicated to the 90 th anniversary of A.I. Shirshov, Novosibirsk, July 14 18, The 2 nd school-conference Lie Algebras, Algebraic Groups and Invariant Theory, Moscow, Russia, Jan. 31 Feb. 5, International Conference Stochastic Models in Biology and Limit Algebras, Omsk, Russia, August 2 7, International Algebraic Conference dedicated to the 70th anniversary of A.V. Yakovlev, St. Petersburg, Russia, June 19 24, International Conference Mal tsev Meeting, Novosibirsk, Russia, May 2 6, Perspectives in Representation Theory, Cologne, Germany, Sept. 27 Oct. 3, Algebraic Conference dedicated to the 60th Anniversary of A. I. Generalov, St. Petersburg, Russia, Sept. 2 3, Workshop on Algebra, Geometry and Dynamics, Belfast, UK, Aug , International Algebraic Conference dedicated to the 100th anniversary of A.G. Kurosh, Moscow, Russia, May 28 June 3, International Algebraic Conference dedicated to the 100th anniversary of D.K. Faddeev, St. Petersburg, Russia, Sept , International Conference Algebra and Its Applications, Krasnoyarsk, Russia, Aug , Representation Theory Days, Hannover, Germany, July 13 14, International Conference on Modules and Comodules, Porto, Portugal, Sept. 8 10, ESF Research Conference Geometric Representations and Invariant Theory, Spa, Belgium, Sept , International Algebraic Conference dedicated to the 100th birthday of P.G. Kontorovich and to 70th birthday of L.N. Shevrin, Ekaterinburg, Russia, Aug. 29 Sept. 3, International Conference Representational Theory and Its Applications a satellite conference to the Fourth European Congress of Mathematics, Uppsala, Sweden, June 22 27, International Algebraic Conference on the occasions of the 250th anniversary of Moscow State University and the 75th anniversary of the Department of Algebra, Moscow, Russia, May 26 June 2, 2004.

4 Curriculum Vitae of Artem A. Lopatin 4 International Conference Mal tsev Meeting, Novosibirsk, Russia, November 17 19, International Conference Mal tsev Meeting, Novosibirsk, Russia, November 18 22, XL International Conference Students and Scientific-technical Progress, Novosibirsk, Russia, March, This talk was awarded the second prize.

5 Curriculum Vitae of Artem A. Lopatin 5 University Talks Ruhr-Universität Bochum, Germany, November 26, Technische Universität München, Germany, October 14, Bielefeld University, Germany, September 11, Bielefeld University, Germany, May 15, Bielefeld University, Germany, December 12, Bielefeld University, Germany, October 20, Bielefeld University, Germany, December 16, University of Antwerp, Belgium, December 2, Bielefeld University, Germany, March 4, Bielefeld University, Germany, October 29, Institute of Mathematics SBRAS, Novosibirsk, Russia, August 2, Institute of Mathematics SBRAS, Omsk, Russia, numerous talks. Omsk State University, Russia, numerous talks.

6 Curriculum Vitae of Artem A. Lopatin 6 Papers In preparation Minimal generating set for invariants of bilinear forms in dimension two case, in preparation. Free relations for matrix invariants, II, in preparation. Submitted 15. On the nilpotency degree of the algebra with identity x n = 0, submitted, arxiv: Published / Accepted 14. Free relations for matrix invariants in modular case, J. Pure Appl. Algebra, 216 (2012), , arxiv: Relations between O(n)-invariants of several matrices, to appear in Algebra Repr. Theory, arxiv: Orthogonal matrix invariants, to appear in J. Math. Sciences, arxiv: Orthogonal invariants of skew-symmetric matrices, Linear Mult. Algebra, 59 (2011), No. 8, Minimal generating set for semi-invariants of quivers of dimension two, Linear Algebra Appl., 434 (2011), No. 8, On minimal generating systems for matrix O(3)-invariants, Linear Mult. Algebra, 59 (2011), No. 1, Indecomposable invariants of quivers for dimension (2,..., 2) and maximal paths, II, Siberian Electronic Math. Reports, 7 (2010), Indecomposable invariants of quivers for dimension (2,..., 2) and maximal paths, Commun. Algebra, 38 (2010), No. 10, Invariants of quivers under the action of classical groups, J. Algebra, 321 (2009), On block partial linearizations of the pfaffian, Linear Algebra Appl., 426/1 (2007), (in collaboration with A.N. Zubkov) Semi-invariants of mixed representations of quivers, Transform. Groups, 12 (2007), No. 2, Relatively free algebras with the identity x 3 = 0, Commun. Algebra, 33 (2005), No. 10, The ring of invariants of three (3 3)-matrices over a field of prime characteristic, Sibirsk. Mat. Zh., 45 (2004), No. 3, (Russian). English translation: Siberian Mathematical Journal, 45 (2004), No. 3,

7 Curriculum Vitae of Artem A. Lopatin 7 1. The algebra of invariants of 3 3 matrices over a field of arbitrary characteristic, Commun. Algebra, 32 (2004), No. 7, Other publications Free relations for matrix invariants in modular case, Max-Planck-Institut für Mathematik, Preprint Series (2010), No. 107, 15 pp. Algebras of matrix invariants, Stochastic Models in Biology and Limit Algebras, International Conference Proceedings, Omsk, Russia, (2010), (in collaboration with A.N. Zubkov) Representations of quivers, their generalizations and invariants, Vestn. Omsk Univ., Spec. Issue, (2008), Generating Systems for Invariant Algebra of Representations of Quivers, Ph.D. Thesis, Omsk State Univ., 2004, 97 pp. (in collaboration with V.M. Gichev and E.Yu. Daniyarova) Geometry of root systems, Omsk State Univ. Publ., 2003, 88 pp. (Russian). Non-commutative invariants over a field of an arbitrary characteristic, Commun. of Omsk Univ., 23 (2002), No. 1, (Russian).