Leo Livshits Curriculum Vita

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1 Leo Livshits Curriculum Vita Tuesday 28 th February, 2017 PERSONAL DATA Address: Department of Mathematics, Colby College, Waterville, Maine 04901, USA Phone: Fax: EDUCATION Ph.D. University of Toronto 1991 M.Sc. University of Toronto 1986 B.Mat. University of Waterloo 1985 POSITIONS HELD Professor Colby College 2008-present Associate Professor Colby College Assistant Professor Colby College Visiting Scholar Carleton University Assistant Professor Bishop s University Assistant Professor Central Michigan University

2 RESEARCH PUBLICATIONS Submitted 1. Groups of Matrices That Act Monopotently (with Colby College student Joshua D. Hews 17) Appeared 1. A Perron-Frobenius-type Theorem for Positive Matrix Semigroups (with Gordon MacDonald and Heydar Radjavi) Positivity, 21, # 1, (2017) 2. Universal Bounds for Positive Matrix Semigroups (with Gordon MacDonald, Laurent Marcoux and Heydar Radjavi) Studia Mathematica, 232, # 2, (2016) 3. A Note on approximation conditions, standard triangularizability and a power set topology Bulletin of the Iranian Mathematical Society, Article 14, Volume 41, Issue 7, (2015) 4. A Spatial Version of Wedderburn s Principal Theorem (with Gordon MacDonald, Laurent Marcoux and Heydar Radjavi) Linear and Multilinear Algebra, 63, no. 6, (2015) 5. Paratransitive Algebras of Linear Operators II (with Gordon MacDonald, Laurent Marcoux and Heydar Radjavi) Linear Algebra and Its Applications, 439, (2013) 6. Paratransitive Algebras of Linear Operators (with Gordon MacDonald, Laurent Marcoux and Heydar Radjavi) Linear Algebra and Its Applications, 439, (2013) 7. Positive Matrix Semigroups with Binary Diagonals (with Gordon MacDonald and Heydar Radjavi) Positivity, 15, # 3, (2011) 2

3 8. Multiplicative diagonals of matrix semigroups (with Gordon MacDonald and Heydar Radjavi) Electronic Journal of Linear Algebra, 22, (2011) 9. Universal bounds for matrix semigroups (with Gordon MacDonald and Heydar Radjavi) Studia Mathematica, 203, # 1, (2011) 10. Cantor Groups (with Chris Dow (student) and Ben Mathes) College Mathematics Journal, 42, # 1, (2011) 11. Semigroups of operators with nonnegative diagonals (with Semigroup Working Group at LAW 08, Kranjska Gora) Linear Algebra and Its Applications, 433, # 11-12, (2010) 12. A Kadison Transitivity Theorem for C*-semigroups (with G.W. MacDonald, L. Marcoux, H. Radjavi) Journal of Functional Analysis, 254, #1, (2008) 13. Approximate permutability of traces on semigroups of matrices (with J. Bernik, R. Drnovšek, T. Košir, M. Mastnak, M. Omladič, and H. Radjavi) Operators and Matrices, 1, #4, (2007) 14. Topologically transitive matrix semigroups (with G.W. MacDonald, H. Radjavi) Operators and Matrices, 1, # 2, (2007) 15. Semitransitive subspaces of operators (with Semitransitivity Working Group at LAW 05, Bled) Electronic Journal of Linear Algebra, 15, (2006) 16. Schur algebras over function algebras (with S-C. Ong, S-W. Wang) Houston Journal of Mathematics, 30, # 4, (2004) 3

4 17. On decomposability of periodic semigroups of non-negative matrices Linear Algebra and Its Applications, 383, (2004) 18. Operator semigroups for which reducibility implies decomposibility (with G.W. MacDonald, B. Mathes, H. Radjavi) Positivity, 7, # 3, (2003) 19. Matrix semigroups with commutable rank (with G.W. MacDonald, B. Mathes, J. Okniński, H. Radjavi) Semigroup Forum, 67, (2003) 20. An irreducible semigroup of non-negative square-zero operators (with R. Drnovšek, D. Kokol-Bukovšek, G. W. MacDonald, M. Omladič, H. Radjavi) Journal of Integral Equations and Operator Theory, 42, (2002) 21. On band algebras (with G.W. MacDonald, B. Mathes, H. Radjavi) Journal of Operator Theory; 46, #3: (2001) 22. Banach space duality in absolute Schur algebras (with S-C. Ong, S-W. Wang) Journal of Integral Equations and Operator Theory, 41, # 3: (2001) 23. n-transitivity and the complementation property (with G. W. MacDonald) Linear Algebra and Its Applications, 329: (2001) 24. Cone-transitive matrix semigroups (with G.W. MacDonald, H. Radjavi) Linear and Multilinear Algebra, 47, (2000) 25. On operator bands (with R. Drnovšek, G.W. MacDonald, B. Mathes, H. Radjavi, P. Šemrl) Studia Mathematica, 139, # 1: (2000) 4

5 26. On transitive linear semigroups (with R. Drnovšek, G.W. MacDonald, B. Mathes, H. Radjavi, P. Šemrl) Linear Algebra and Its Applications, 305: (2000) 27. Transitive linear semigroups Obzornik za matematiko in fiziko, 46, # 2: (1999) 28. Reducible semigroups of idempotent operators (with G.W. MacDonald, B. Mathes, H. Radjavi) Journal of Operator Theory, 40, # 1: (1998) 29. Continuity of Schur block-multiplication maps with respect to various operator topologies Journal of Operator Theory, 34: (1995) 30. A note on 0 1 Schur multipliers Linear Algebra and Its Applications, 222: (1995) 31. Block-matrix generalizations of finite-dimensional Schur products and Schur multipliers Linear and Multilinear Algebra, 38: (1994) 32. On invertibility of the map T STS 1 + S 1 TS (with S.-C. Ong) Linear Algebra and Its Applications, 183: (1993) 33. Locally finite-dimensional spaces of operators Proceedings of AMS, 119, #1: (1993) Papers in preprint form 1. Construction of Jordan-form made easy (with G.W. MacDonald, B. Mathes, H. Radjavi) 5

6 PENDING INVITATIONS 1. 8th Linear Algebra Workshop (LAW 17), Ljubljana, Slovenia, June 12-16, 2017; (as an invited speaker) RECENT CONFERENCE AND WORKSHOP PRESENTATIONS 1. A Perron-Frobenius-type Theorem for Positive Matrix Semigroups Invited participant in a Minisymposium on Nonnegative Matrices and Majorization 20-th Conference of the International Linear Algebra Society (ILAS) Leuven, Belgium (2016) 2. Paratransitive Algebras of Linear Transformations Invited speaker 7-th International Linear Algebra Workshop Ljubljana, Slovenia (2014) 3. A Spatial Implementation of Wedderburn s Principal Theorem 18-th Conference of the International Linear Algebra Society (ILAS) Providence, RI, USA (2013) 4. Matrix Semigroups with Binary Diagonals Coimbra Meeting on 0-1 Matrix Theory and Related Topics University of Coimbra, Portugal (2010) 5. When nearly is close enough: collections of non-negative matrices that are near to those with standard triangularization, have standard triangularization of their own Invited speaker 5-th International Linear Algebra Workshop Kranjska Gora, Slovenia (2008) 6

7 RECENT COLLOQUIUM AND SEMINAR PRESENTATIONS 1. The Power of Positive Thinking: A Jolly Jaunt Through Non-Negative Matrices Colby College (April 2016) 2. What is Fritz John Ellipsoid Theorem? Colby College (October 2013) 3. My Love Affair with Matrix Algebras Colby College (February 2012) 4. How Perron-Frobenius theorem helped to change the world, page by Page Colby College (April 2011) 5. Big ideas about little sets Bowdoin College (September 2010) 6. Big ideas about little sets Department of Mathematics What is... Colloquium Colby College (October 2009) 7. What can we learn from matrix diagonals? Colby College (February 2009) 7

8 OTHER PROFESSIONAL ACTIVITIES 1. Refereed papers for Proceedings of AMS, Journal of Linear Algebra and Its Applications, Operators and Matrices, Journal of the Korean Mathematical Society, International Journal of Mathematics and Mathematical Sciences, Houston Journal of Mathematics, Journal of Mathematical Analysis and Applications, Special Matrices. 2. Reviewed papers for AMS Mathematical Reviews 3. Provided solutions to Problems in IMAGE Problems Corner. IMAGE is the bulletin of the International Linear Algebra Society (ILAS). (a) Problem 47-7 (proposed by Ramazan TURKMEN, Science Faculty, Selcuk University, Konya, Turkey) Mentioned in IMAGE 48, page 39, Spring (b) Problem 47-4 (proposed by Christopher HILLAR, Mathematical Sciences Research Institute, Berkeley, California, U.S.A) Mentioned in IMAGE 48, page 36, Spring (c) Problem 47-2 (proposed by Oskar Maria BAKSALARY, Adam Mickiewicz University, Poznan, Poland, and Gotz T RENKLER, Dortmund University of Technology, Dortmund, Germany) Published as the solution in IMAGE 48, page 33, Spring (d) Problem 47-1 (proposed by Johanns DE ANDRADE BEZERRA, Natal, RN, Brazil) Published as the solution in IMAGE 48, page 29, Spring (e) Problem 46-2 (proposed by Gerald Bourgeois, University of French Polynesia, Tahiti) Published as the solution in IMAGE 47, page 32, Fall (f) Problem 46-7 (proposed by Fuzhen Zhang, Nova Southeastern University, Fort Lauderdale, USA) Mentioned in IMAGE 47, page 39, Fall

c Copyright American Mathematical Society 2009, 2010

c Copyright American Mathematical Society 2009, 2010 From : 0 MR2375070 (2009j:46173) 46L99 (47D03 47L30) Livshits, L. [Livshits, Leo] (1-COLBY); MacDonald, G. [MacDonald, Gordon Wilson] (3-PRIN-MS); Marcoux, L. W. (3-WTRL-PM); Radjavi, H. (3-WTRL-PM) A