Hirotachi Abo
Professor & Department Chair, Mathematics & Statistical Science
Positions
Publications
presentations

invited talk

Waring’s problem of systems of skew symmetric forms,
Speaker,
2013 SIAM Conference on Applied Algebraic Geometry 2013

Counting the number of complete subgraphs in the Paley graph,
Speaker 2012

Counting the number of complete subgraphs in the Paley graph,
Speaker 2012

Ideals, varieties, and vector bundles,
Speaker 2012

Counting the number of complete subgraphs in the Paley graph,
Speaker 2011

Implementation of Kumar’s correspondence,
Speaker,
AMS 2011 Fall Western Section Meeting 2011

New examples of defective secant varieties of SegreVeronese varieties,
Speaker,
AMS 2011 Fall Central Section Meeting 2011

New examples of defective secant varieties of SegreVeronese varieties,
Speaker,
AMS 2011 Fall Western Section Meeting 2011

New examples of defective secant varieties of SegreVeronese varieties,
Speaker,
Foundation of Computational Mathematics Conference 2011

On the secant defectivity of SegreVeronese varieties I & II,
Speaker,
Algebraic Geometry Symposium 2011

Report on the recent progress on the study of secant defectivity of SegreVeronese varieties,
Speaker,
2011 SIAM Conference on Applied Algebraic Geometry 2011

Monomial approach to study higher secant varieties of Grassmann varieties,
Speaker,
Coding Theory and Geometry Workshop 2010

On the secant defectivity of SegreVeronese varieties,
Speaker,
Geometry Seminar at Texas A&M University 2010

Algebraic geometry of tensors,
Speaker,
WSU Colloquium 2009

Secant varieties to tangential varieties of cubic Veronese embedding,
Speaker,
2009 AMS Central Section Meeting 2009

Higher secant varieties of classically studied varieties,
Speaker,
Workshop on Computational Algebraic Geometry 2008

Construction of vector bundles on projective spaces,
Speaker,
Commutative Algebra and Algebraic Geometry Seminar, University of California, Berkeley 2004

A rational surface of degree 12 in projective fourspace,
Speaker,
2003 Joint Central and Western Section Meeting of the AMS 2003

presentation

On nondefectivity of certain SegreVeronese varieties,
Speaker,
Effective Methods of Algebraic Geometry 2009 2009

Secant varieties of tangential varieties of cubic Veronese embeddings,
Speaker,
Workshop on Tensors and Interpolation 2009

A computeraided proof of the existence of smooth rational surfaces,
Speaker,
Macaulay 2 Conference 2008

Induction for secant varieties to Segre varieties,
Speaker,
RIMS Workshop on Computational Commutative Algebra and Computational Algebraic Geometry 2007

Induction for typical tensor rank,
Speaker,
AMS 2007 Fall Central Section Meeting 2007

Arrangements of planes in projective fourspace formed from simple graphs,
Speaker,
Algebraic Geometry Seminar 2006

Finding needles in a haystack: Computer searches for special surfaces,
Speaker,
UNC Greensboro Colloquium 2006

Finding needles in a haystack: Theory and computation in the search for special surfaces,
Speaker,
UI Colloquium 2006

Finding needles in a haystack: Theory and computation in the search for special surfaces,
Speaker,
WWU Colloquium 2006

Implementation of Kumar's correspondence,
Speaker,
ISSAC 2006 2006

Simple graphs and plane arrangements in projective fourspace,
Speaker,
Workshop on Computation and Combinatorial Commutative Algebra 2006

Solving systems of polynomial equations,
Speaker,
WWU Colloquium 2006

Stable reflexive sheaves associated to the Paley graph,
Speaker,
AMS 2006 Spring Central Sectional Meeting 2006

The QuillenSuslin theorem and the construction of vector bundles,
Speaker,
Workshop on Syzygies and Hilbert Functions at Banff International Research Station 2006

Theory and computation in the search of special surfaces,
Speaker,
Workshop on Computation and Combinatorial Commutative Algebra 2006

An application of the QuillenSuslin theorem to the construction of vector bundles,
Speaker,
Theoretical effectivity and practical effectivity of Groebner bases, Rikkyo Univer 2005

Arrangements of 2planes in P4 formed from the Petersen graph,
Speaker,
Rocky Mountain Algebraic Combinatorics Seminar 2005

Arrangements of planes in P4 formed from the Petersen graph,
Speaker,
Algebra Seminar, Colorado State University 2005

Construction of nongeneral type smooth surfaces in projective fourspace,
Speaker,
Colloquium, Washington University in St. Louis 2005

Construction of rational surfaces in projective fourspace,
Speaker,
2005 AMS Summer Institute on Algebraic Geometry 2005

Construction of rational surfaces in projective fourspace,
Speaker,
2005 Fall Central Section meeting of the AMS 2005

Construction of surfaces in projective fourspace,
Speaker,
Oregon State University Colloquium 2005

Smooth generaltype surfaces in P4 with many 7secant lines,
Speaker,
Algebra Seminar, Colorado State University 2005

A computeraided proof of the existence of a smooth rational surface,
Speaker,
Algebra Seminar, Colorado State University 2004

Paley graphs and rational points of varieties,
Speaker,
Rocky Mountain Algebraic Combinatorics Seminar 2004

Surfaces in P4,
Speaker,
Algebra Seminar, Colorado State University 2004

Vector bundles on projective spaces I and II,
Speaker,
Algebra Seminar, Colorado State University 2003
Research
principal investigator on
full name