Dr. Wolfram Florian Bentz Universidade de Lisboa Telephone: (+351) 21-790-4710 Av. Prof. Gama Pinto, 2 Home: (+351) 21-198-2284 1649-003 Lisboa Fax: (+351) 21-795-4288 Portugal E-Mail: [email protected] Website: http://wolframbentz.com Personal Information EĂƟŽŶĂůŝƚLJ Dual German-Canadian Professional Appointments 2014 – present Visiting Scientist Fellow Center of Algebra / Center for Computational and Stochastic Mathematics University of Lisbon, Portugal 2011 – 2014 Marie Curie Fellow and Investigador Auxiliar Center of Algebra University of Lisbon, Portugal Project Coordinator of “Dualizability of Algebras from Congruence-Permutable Varieties” 2008 – 2011 Assistant Professor Department of Mathematics, Statistics, and Computer Science St. Francis Xavier University, Antigonish, Nova Scotia, Canada 2006 – 2008 Assistant Professor Department of Mathematics University of Northern British Columbia, Prince George, British Columbia, Canada 2005 – 2006 Instructor Department of Mathematics Wilfrid Laurier University, Waterloo, Ontario, Canada Education 2005 Ph.D., Pure Mathematics University of Waterloo, Waterloo, Ontario, Canada 2000 M.Sc., Mathematics Simon Fraser University, Burnaby, British Columbia, Canada 1998 Diplom-Mathematiker, Mathematics Philipps-Universität, Marburg, Germany Minor: Computer Science Dr. Wolfram Florian Bentz Publications J. Araújo, W. Bentz, and J. Konieczny. The Commuting Graph of the Symmetric Inverse Semigroup, to appear in Israel Journal of Mathematics. J. Araújo, W. Bentz, and J. Konieczny. The Largest Subsemilattices of the Endomorphism Monoid of an Indepen- dence Algebra, Linear Algebra and Its Applications 458 (2014), 60 – 79. W. Bentz and L. Sequeira. Taylor’s Modularity Conjecture Holds for Linear Idempotent Varieties, Algebra Univer- salis 71 (2014), 101 – 107. W. Bentz and P. Mayr. Supernilpotence Prevents Dualizability, Journal of the Australian Mathematical Society 96 (2014), 1 – 24. W. Bentz, B. A. Davey, J. G. Pitkethly, and R. Willard. Dualizability of Automatic Algebras, Journal of Pure and Ap- plied Algebra 218 (2014), 1324 – 1345. J. Araújo, W. Bentz, and P. J. Cameron. Groups Synchronizing a Transformation of Non-Uniform Kernel, Theoreti- cal Computer Science 498 (2013), 1 – 9. E. Geangu, P. Hauf, R. Bhardwaj, and W. Bentz. Infant Pupil Diameter Changes in Response to Others’ Positive and Negative Emotions. PLoS One 6 (2011), e27132. W. Bentz. Optimal Packings of 13 and 46 Unit Squares in a Square. Electronic Journal of Combinatorics 17 vol. 2 (2010): #R126. W. Bentz. A Characterization of T3 Separation for a Special Class of Varieties. Algebra Universalis 56 (2007), 399 – 410. W. Bentz. A Characterization of Hausdor! Separation for a Special Class of Varieties. Algebra Universalis 55 (Special Issue in Honor of Walter Taylor, 2006), 259 – 276. W. Bentz and S. Bulman-Fleming. On Equalizer-"at Acts. Semigroup Forum 58 (1999), 5 – 16. W. Bentz. Topological Implications in Varieties. Algebra Universalis 42 (1999), 9 – 16. Submitted for Publication J. Araújo, W. Bentz, P.J. Cameron, G. Royle, and A. Schaefer. Primitive Groups and Synchronization, 54 pages. W. Bentz, P. Gillibert, and L. Sequeira. Finite Abelian Algebras are Fully Dualizable, 19 pages. J. Araújo, W. Bentz, and J. Konieczny. Directed Graphs of Inner Translations of Semigroups, 23 pages. J. Araújo, W. Bentz, E. Dobson, J. Konieczny, and J. Morris. Automorphism Groups of Circulant Digraphs with Ap- plications to Semigroup Theory, 27 pages. J. Araújo, W. Bentz, J. D. Mitchell, and Cs. Schneider. The Rank of the Semigroup of Transformations Stabilizing a Partition of a Finite Set, 12 pages. Dr. Wolfram Florian Bentz’s Curriculum Vitae, page 2 of 10 Dr. Wolfram Florian Bentz External Funding EUR 13,000 Visiting Scientist Fellowship, 2014 – 2015 Funded by Foundation for Science and Technology of Portugal Principal Investigator: Wolfram Bentz EUR 50,000 Supplementary Support Scheme, 2013 – 2014 Funded by Foundation for Science and Technology of Portugal Funding to employ a Postdoctoral Fellow EUR 230,000 Marie Curie Fellowship, 2011 – 2014 Funded by the European Union Seventh Framework Programme and the Foundation for Science and Technology of Portugal Principal Investigator: Wolfram Bentz Project: “Dualizability of Algebras from Congruence-Permutable Varieties” Fellowship (EUR 200,000); Project Funding (EUR 15,000); and Host Institution Funding (EUR 15,000) EUR 10,000 Support through PEst-OE/MAT/UI0143/2011, 2011 – 2014 Funded by Foundation for Science and Technology of Portugal Funding for equipment, travel, and conferences Travel Grants from Local Sources 8-day research visit. University of York, York, UK, January 2015. 3-day visit for presentations. University of British Columbia, Vancouver, British Columbia, Canada, September 2013. 9-day research visit. University of Northern British Columbia, Prince George, British Columbia, Canada, Septem- ber 2013. 14-day research visit. Johannes Kepler University Linz, Linz, Austria, June 2013. 13-day research visit. University of Waterloo, Waterloo, Ontario, Canada, July 2010. Value-in-Kind Grant Access to high performance computing resources at the National Institute of Computational Sciences (NICS), University of Tennessee. Joint project with J. Araújo (Center of Algebra, University of Lisbon), M. Kinyon (Univer- sity of Denver), D. John (NICS), and L. Sequeira (Center of Algebra, University of Lisbon). 2013 – Present (Ongoing support). Dr. Wolfram Florian Bentz’s Curriculum Vitae, page 3 of 10 Dr. Wolfram Florian Bentz Presentations /ŶǀŝƚĞĚ^ƉĞĂŬĞƌ “A Tribute to the Center of Algebra”. 2014 National Meeting of the Portuguese Mathematical Society, Lisbon, Portugal, July 2014. “Square Packings and Optimality Proofs”. Colloquium, University of British Columbia, Vancouver, British Colum- bia, Canada, September 2013. “Packing Equal Squares into Squares”. Paci#c Institute of Mathematical Sciences Distinguished Speaker, Univer- sity of Northern British Columbia, Prince George, British Columbia, Canada, September 2013. “Quadratpackungen als mathematische Herausforderung”. Kepler-Symposium, Linz, Austria, June 2013. “On Synchronizing Automata”. 7th Workshop on Statistics, Mathematics and Computation, Tomar, Portugal, May 2013. “Automata Encoding Algebras, and an ‘Easy Problem’”. Dia de Semigrupos, Vila Real, Portugal, January 2012. ZĞĐĞŶƚĂŶĚWĂƐƚWƌĞƐĞŶƚĂƟŽŶƐ “Squares and the Quest for the Perfect Packing”. University of York Mathematics Society, York, UK, January 2015. “New Results on Synchronization”. North British Semigroups and Applications Network, York, UK, January 2015. “Three Years out of 34: A Personal Retrospective of the Center of Algebra”. Algebra Workshop 2014 - 34 years of CAUL, Lisbon, Portugal, November 2014. “Examining Commutativity in Symmetric Inverse Semigroups”. York Semigroup Seminar, University of York, UK, September 2014. “Derivatives as a Tool for Computational Classi#cation”. Workshop on Computational Algebra, Lisbon, Portugal, July 2014. “Is Dualizability of Nilpotent Algebras Decidable?”. 86. Arbeitstagung Allgemeine Algebra, Linz, Austria, February 2014. “Duality, the Ghost Element Method, and an Application to Supernilpotent Algebras”. Seminar, University of Northern British Columbia, Prince George, British Columbia, Canada, September 2013. “The Commuting Graph of the Symmetric Inverse Semigroup”. Discrete Mathematics Seminar, University of Brit- ish Columbia, Vancouver, British Columbia, Canada, September 2013. “The Modularity Conjecture Holds for Linear Idempotent Varieties”. Algebra Seminar, La Trobe University, Mel- bourne, Australia, July 2013. “Supernilpotence as an Obstacle to Dualizability”. General Algebra and its Applications, Melbourne, Australia, July 2013. Dr. Wolfram Florian Bentz’s Curriculum Vitae, page 4 of 10 Dr. Wolfram Florian Bentz “Properties of the Commuting Graph of the Symmetric Inverse Semigroup”. Algebra Seminar, JKU Linz, Linz, Austria, June 2013. “Dualizability and the Ghost Element Method”. Algebra Seminar, JKU Linz, Linz, Austria, June 2013. “Groups that are Almost Synchronizing”. 4th Novi Sad Algebraic Conference, Novi Sad, Serbia, June 2013. “The E!ect of Nilpotence on the Dualizability of an Algebra“. 86. Arbeitstagung Allgemeine Algebra, Olomouc, Czech Republic, June 2013. “The Modularity Conjecture Holds for Linear Idempotent Varieties“. 85th Workshop on General Algebra, Luxem- bourg, February 2013. “Dualizability of Algebras from Congruence Permutable Varieties“. Marie Curie Actions Conference, Dublin, Ire- land, July 2012. “The Commuting Graph of the Symmetric Inverse Semigroup - Clique Number and Diameter“. Workshop on Semigroups (To Remember John M. Howie on the Occasion of his 76th Birthday), Lisbon, Portugal, May 2012. “Packing Equal Squares into Squares“. Seminário do Centro de Estruturas Lineares e Combinatórias, Lisbon, Por- tugal, June 2012. “Milkboxes and Their Containers: a Packing Challenge“. Seminário para Todos, Faculdade de Ciências da Univer- sidade de Lisboa, Portugal, May 2012. “An ‘Easy’ Problem by McNulty“. 83rd Workshop on General Algebra, Novi Sad, Serbia, March 2012. “On a Problem by McNulty“. BLAST 2011, University of Kansas, Lawrence, Kansas, USA, July 2011. “Optimal Square Packings“. University of Waterloo Pure Mathematics Seminar, Waterloo, Ontario, Canada, July 2010. “Construction Techniques in Topological Universal Algebra“. BLAST 2010, University of Colorado Boulder, Boul- der, Colorado, USA, June 2010. “Infant A!ect Sharing Reactions to Peer Emotions”. 40th Annual Meeting of the Jean Piaget Society,