Hirotachi Abo
Professor & Department Chair, Mathematics & Statistical Science
Positions
Publications
presentations
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invited talk
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Waring’s problem of systems of skew symmetric forms,
Speaker,
2013 SIAM Conference on Applied Algebraic Geometry 2013
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Counting the number of complete subgraphs in the Paley graph,
Speaker 2012
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Counting the number of complete subgraphs in the Paley graph,
Speaker 2012
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Ideals, varieties, and vector bundles,
Speaker 2012
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Counting the number of complete subgraphs in the Paley graph,
Speaker 2011
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Implementation of Kumar’s correspondence,
Speaker,
AMS 2011 Fall Western Section Meeting 2011
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New examples of defective secant varieties of Segre-Veronese varieties,
Speaker,
AMS 2011 Fall Central Section Meeting 2011
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New examples of defective secant varieties of Segre-Veronese varieties,
Speaker,
AMS 2011 Fall Western Section Meeting 2011
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New examples of defective secant varieties of Segre-Veronese varieties,
Speaker,
Foundation of Computational Mathematics Conference 2011
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On the secant defectivity of Segre-Veronese varieties I & II,
Speaker,
Algebraic Geometry Symposium 2011
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Report on the recent progress on the study of secant defectivity of Segre-Veronese varieties,
Speaker,
2011 SIAM Conference on Applied Algebraic Geometry 2011
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Monomial approach to study higher secant varieties of Grassmann varieties,
Speaker,
Coding Theory and Geometry Workshop 2010
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On the secant defectivity of Segre-Veronese varieties,
Speaker,
Geometry Seminar at Texas A&M University 2010
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Algebraic geometry of tensors,
Speaker,
WSU Colloquium 2009
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Secant varieties to tangential varieties of cubic Veronese embedding,
Speaker,
2009 AMS Central Section Meeting 2009
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Higher secant varieties of classically studied varieties,
Speaker,
Workshop on Computational Algebraic Geometry 2008
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Construction of vector bundles on projective spaces,
Speaker,
Commutative Algebra and Algebraic Geometry Seminar, University of California, Berkeley 2004
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A rational surface of degree 12 in projective fourspace,
Speaker,
2003 Joint Central and Western Section Meeting of the AMS 2003
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presentation
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On non-defectivity of certain Segre-Veronese varieties,
Speaker,
Effective Methods of Algebraic Geometry 2009 2009
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Secant varieties of tangential varieties of cubic Veronese embeddings,
Speaker,
Workshop on Tensors and Interpolation 2009
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A computer-aided proof of the existence of smooth rational surfaces,
Speaker,
Macaulay 2 Conference 2008
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Induction for secant varieties to Segre varieties,
Speaker,
RIMS Workshop on Computational Commutative Algebra and Computational Algebraic Geometry 2007
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Induction for typical tensor rank,
Speaker,
AMS 2007 Fall Central Section Meeting 2007
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Arrangements of planes in projective fourspace formed from simple graphs,
Speaker,
Algebraic Geometry Seminar 2006
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Finding needles in a haystack: Computer searches for special surfaces,
Speaker,
UNC Greensboro Colloquium 2006
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Finding needles in a haystack: Theory and computation in the search for special surfaces,
Speaker,
UI Colloquium 2006
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Finding needles in a haystack: Theory and computation in the search for special surfaces,
Speaker,
WWU Colloquium 2006
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Implementation of Kumar's correspondence,
Speaker,
ISSAC 2006 2006
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Simple graphs and plane arrangements in projective fourspace,
Speaker,
Workshop on Computation and Combinatorial Commutative Algebra 2006
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Solving systems of polynomial equations,
Speaker,
WWU Colloquium 2006
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Stable reflexive sheaves associated to the Paley graph,
Speaker,
AMS 2006 Spring Central Sectional Meeting 2006
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The Quillen-Suslin theorem and the construction of vector bundles,
Speaker,
Workshop on Syzygies and Hilbert Functions at Banff International Research Station 2006
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Theory and computation in the search of special surfaces,
Speaker,
Workshop on Computation and Combinatorial Commutative Algebra 2006
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An application of the Quillen-Suslin theorem to the construction of vector bundles,
Speaker,
Theoretical effectivity and practical effectivity of Groebner bases, Rikkyo Univer 2005
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Arrangements of 2-planes in P4 formed from the Petersen graph,
Speaker,
Rocky Mountain Algebraic Combinatorics Seminar 2005
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Arrangements of planes in P4 formed from the Petersen graph,
Speaker,
Algebra Seminar, Colorado State University 2005
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Construction of non-general type smooth surfaces in projective fourspace,
Speaker,
Colloquium, Washington University in St. Louis 2005
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Construction of rational surfaces in projective fourspace,
Speaker,
2005 AMS Summer Institute on Algebraic Geometry 2005
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Construction of rational surfaces in projective fourspace,
Speaker,
2005 Fall Central Section meeting of the AMS 2005
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Construction of surfaces in projective fourspace,
Speaker,
Oregon State University Colloquium 2005
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Smooth general-type surfaces in P4 with many 7-secant lines,
Speaker,
Algebra Seminar, Colorado State University 2005
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A computer-aided proof of the existence of a smooth rational surface,
Speaker,
Algebra Seminar, Colorado State University 2004
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Paley graphs and rational points of varieties,
Speaker,
Rocky Mountain Algebraic Combinatorics Seminar 2004
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Surfaces in P4,
Speaker,
Algebra Seminar, Colorado State University 2004
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Vector bundles on projective spaces I and II,
Speaker,
Algebra Seminar, Colorado State University 2003
Research
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