Works (34)

Updated: September 1st, 2023 05:00

2023 article

Invariants: Computation and Applications

PROCEEDINGS OF THE INTERNATIONAL SYMPOSIUM ON SYMBOLIC & ALGEBRAIC COMPUTATION, ISSAC 2023, pp. 40–49.

By: I. Kogan n 

co-author countries: United States of America πŸ‡ΊπŸ‡Έ
author keywords: group actions; algebraic and differential invariants; moving frames; equivalence; signatures
Sources: ORCID, Web Of Science
Added: July 6, 2023

2021 journal article

Non-congruent non-degenerate curves with identical signatures

JOURNAL OF MATHEMATICAL IMAGING AND VISION, 63(5), 601–625.

By: E. Geiger n & I. Kogan n 

co-author countries: United States of America πŸ‡ΊπŸ‡Έ
author keywords: Closed curves; Euclidean transformations; Signature curves; Signature graphs (quivers); Object recognition
Sources: ORCID, Web Of Science
Added: February 10, 2021

2021 article

Non-congruent non-degenerate curves with identical signatures (Feb, 1007/s10851-020-01015-x, 2021)

JOURNAL OF MATHEMATICAL IMAGING AND VISION, Vol. 63, pp. 776–776.

By: E. Geiger n & I. Kogan n 

co-author countries: United States of America πŸ‡ΊπŸ‡Έ
Sources: ORCID, Web Of Science
Added: April 8, 2021

2020 journal article

A mixed boundary value problem for u(xy) = f (x , y, u, u(x), u(y))

JOURNAL OF DIFFERENTIAL EQUATIONS, 268(12), 7535–7560.

By: H. Jenssen* & I. Kogan n 

co-author countries: United States of America πŸ‡ΊπŸ‡Έ

Contributors: H. Jenssen* & I. Kogan n 

author keywords: Second order hyperbolic partial differential equations; Mixed problems; Non-uniqueness
Sources: Web Of Science, ORCID
Added: April 6, 2020

2020 journal article

Differential Signatures of Algebraic Curves

SIAM Journal on Applied Algebra and Geometry.

By: I. Kogan* , M. Ruddy & C. Vinzant

author keywords: algebraic curves; projective action; affine action; Euclidean action; equivalence classes of curves; differential invariants; classifying invariants; signatures; Fermat curves
Source: ORCID
Added: March 11, 2020

2019 journal article

Jacobians with prescribed eigenvectors

Differential Geometry and Its Applications, 65, 108–146.

By: M. Benfield*, H. Jenssen* & I. Kogan n 

co-author countries: United States of America πŸ‡ΊπŸ‡Έ

Contributors: M. Benfield*, H. Jenssen* & I. Kogan n 

Sources: Web Of Science, Crossref, ORCID
Added: July 1, 2019

2018 journal article

A Generalization of an Integrability Theorem of Darboux

The Journal of Geometric Analysis, 29(4), 3470–3493.

By: M. Benfield, H. Jenssen * & I. Kogan n 

co-author countries: United States of America πŸ‡ΊπŸ‡Έ

Contributors: M. Benfield, H. Jenssen * & I. Kogan n 

author keywords: Overdetermined systems of PDEs; Integrability theorems; Systems of first order PDEs; Local existence; Picard iteration
Sources: ORCID, Crossref
Added: July 20, 2019

2017 journal article

Algorithm for computing mu-bases of univariate polynomials

JOURNAL OF SYMBOLIC COMPUTATION, 80, 844–874.

By: H. Hong n , Z. Hough n & I. Kogan n 

co-author countries: United States of America πŸ‡ΊπŸ‡Έ

Contributors: H. Hong n , Z. Hough n & I. Kogan n 

author keywords: mu-basis; Syzygy module; Polynomial vectors; Rational curves
Sources: Web Of Science, ORCID
Added: August 6, 2018

2017 article

Degree-optimal moving frames for rational curves

(2017, March 8).

Irina Kogan

Source: ORCID
Added: September 16, 2020

2017 article

On Two Theorems of Darboux

(2017, September 21).

Irina Kogan

Source: ORCID
Added: September 16, 2020

2015 journal article

Invariants of objects and their images under surjective maps

Lobachevskii Journal of Mathematics, 36(3), 260–285.

By: I. Kogan n  & P. Olver *

co-author countries: United States of America πŸ‡ΊπŸ‡Έ

Contributors: I. Kogan n  & P. Olver *

author keywords: invariant; surjective map; curve; centro-affine; affine; projective actions; image processing
Sources: Crossref, ORCID
Added: July 20, 2019

2013 journal article

Object-Image Correspondence for Algebraic Curves under Projections

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 9.

By: J. Burdis*, I. Kogan n  & H. Hong n 

co-author countries: United States of America πŸ‡ΊπŸ‡Έ

Contributors: J. Burdis*, I. Kogan n  & H. Hong n 

author keywords: central and parallel projections; finite and affine cameras; camera decomposition; curves; classifying differential invariants; projective and affine transformations; signatures; machine vision
Sources: Web Of Science, ORCID
Added: August 6, 2018

2012 journal article

Extensions for Systems of Conservation Laws

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 37(6), 1096–1140.

By: H. Jenssen * & I. Kogan n 

co-author countries: United States of America πŸ‡ΊπŸ‡Έ

Contributors: H. Jenssen * & I. Kogan n 

author keywords: Eigenvector fields; Entropies; Extensions; Frame bundles; Hessian metric; Hyperbolic systems of conservation laws; Integrability; Rich systems
Sources: Web Of Science, ORCID
Added: August 6, 2018

2012 conference paper

Object-image correspondence for curves under central and parallel projections

Proceedings of the 2012 symposuim on Computational Geometry - SoCG '12, 373–382.

By: J. Burdis n & I. Kogan n 

co-author countries: United States of America πŸ‡ΊπŸ‡Έ

Contributors: J. Burdis n & I. Kogan n 

Event: the 2012 symposuim

Sources: Crossref, ORCID
Added: July 20, 2019

2010 journal article

Classification of Curves in 2D and 3D via Affine Integral Signatures

ACTA APPLICANDAE MATHEMATICAE, 109(3), 903–937.

By: S. Feng n, I. Kogan n  & H. Krim n

co-author countries: United States of America πŸ‡ΊπŸ‡Έ

Contributors: S. Feng n, I. Kogan n  & H. Krim n

author keywords: Euclidean and affine transformations; Equivalence problem for curves; Integral invariants; Signatures; Image recognition
Sources: Web Of Science, ORCID
Added: August 6, 2018

2010 journal article

SYSTEMS OF HYPERBOLIC CONSERVATION LAWS WITH PRESCRIBED EIGENCURVES

JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 7(2), 211–254.

By: H. Jenssen * & I. Kogan n 

co-author countries: United States of America πŸ‡ΊπŸ‡Έ

Contributors: H. Jenssen * & I. Kogan n 

author keywords: Hyperbolic systems of conservation laws; eigenvector fields; eigenvalues; rich systems; Frobenius, Darboux and Cartan-Kahler integrability theorems; connections on frame bundles
Sources: Web Of Science, ORCID
Added: August 6, 2018

2009 other

Construction of conservative systems

By: H. Jenssen & I. Kogan* 

Sources: Crossref, ORCID
Added: July 20, 2019

2007 conference paper

3D Face Recognition using Euclidean Integral Invariants Signature

2007 IEEE/SP 14th Workshop on Statistical Signal Processing, 156–160.

By: S. Feng  n, H. Krim n & I. Kogan n 

co-author countries: United States of America πŸ‡ΊπŸ‡Έ

Contributors: S. Feng  n, H. Krim n & I. Kogan n 

Event: 2007 IEEE/SP 14th Workshop on Statistical Signal Processing

Sources: Crossref, ORCID
Added: July 20, 2019

2007 conference paper

3D Mixed Invariant and its Application on Object Classification

2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07, 1.

By: S. Feng  n, D. Aouada  n, H. Krim n & I. Kogan n 

co-author countries: United States of America πŸ‡ΊπŸ‡Έ

Contributors: S. Feng  n, D. Aouada  n, H. Krim n & I. Kogan n 

Event: 2007 IEEE International Conference on Acoustics, Speech, and Signal Processing

Sources: Crossref, ORCID
Added: July 20, 2019

2007 conference paper

College geometry students' uses of technology in the process of constructing arguments

In T. Lamberg (Ed.), Proceedings of the 29th Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education. (pp. 1153–1160).

By: R. Smith, K. Hollebrands, K. Iwancio & I. Kogan 

Ed(s): T. Lamberg

Source: NC State University Libraries
Added: July 28, 2019

2007 conference paper

Integral invariants for 3D curves: an inductive approach

In C. W. Chen, D. Schonfeld, & J. Luo (Eds.), Visual Communications and Image Processing 2007 (Vol. 6508).

By: S. Feng  n, I. Kogan n  & H. Krim n

co-author countries: United States of America πŸ‡ΊπŸ‡Έ

Contributors: S. Feng  n, I. Kogan n  & H. Krim n

Ed(s): C. Chen, D. Schonfeld & J. Luo

Event: Electronic Imaging 2007

author keywords: 3D affine and Euclidean transformations; integral affine invariants; moving frames; object classification
Sources: Crossref, ORCID
Added: July 20, 2019

2007 article

Rational invariants of a group action. Construction and rewriting

JOURNAL OF SYMBOLIC COMPUTATION, Vol. 42, pp. 203–217.

By: E. Hubert* & I. Kogan n 

co-author countries: France πŸ‡«πŸ‡· United States of America πŸ‡ΊπŸ‡Έ

Contributors: E. Hubert* & I. Kogan n 

author keywords: rational invariants; algebraic group actions; cross-section; Grobner basis; differential invariants; moving frame
Sources: Web Of Science, ORCID
Added: August 6, 2018

2007 journal article

Smooth and algebraic invariants of a group action. Local and global constructions.

Foundations of Computational Math., 7(4), 345–383.

By: E. Hubert & I. Kogan 

Source: NC State University Libraries
Added: July 28, 2019

2007 journal article

Smooth and algebraic invariants of a group action: Local and global constructions

FOUNDATIONS OF COMPUTATIONAL MATHEMATICS, 7(4), 455–493.

By: E. Hubert* & I. Kogan n 

co-author countries: France πŸ‡«πŸ‡· United States of America πŸ‡ΊπŸ‡Έ

Contributors: E. Hubert* & I. Kogan n 

author keywords: rational and algebraic invariants; smooth and differential invariants; algebraic and Lie group actions; cross-section; moving frame method; Grobner basis
Sources: Web Of Science, ORCID
Added: August 6, 2018

2007 conference paper

The effects of a dynamic program for geometry on college students' understandings of properties of quadrilaterals in the Poincare Disk model

Proceedings of the 9th International Conference on Mathematics Education in a Global Community, 613–618.

By: R. Smith, K. Hollebrands, K. Iwancio & I. Kogan 

Source: NC State University Libraries
Added: July 10, 2019

2005 conference paper

3D object representation with topo-geometric shape models

Proceedings of European Signal Processing Conference (EUSIPCO), 2386–2389. http://www.scopus.com/inward/record.url?eid=2-s2.0-84863687976&partnerID=MN8TOARS

By: S. Baloch, H. Krim, I. Kogan  & D. Zenkov

Contributors: S. Baloch, H. Krim, I. Kogan  & D. Zenkov

Sources: NC State University Libraries, ORCID
Added: July 10, 2019

2005 conference paper

Rotation invariant topology coding of 2D and 3D objects using Morse theory

IEEE International Conference on Image Processing 2005, 3, 796–799.

By: S. Baloch n, H. Krim n, I. Kogan*  & D. Zenkov

co-author countries: United States of America πŸ‡ΊπŸ‡Έ

Contributors: S. Balocht, H. Krim n, I. Kogan*  & D. Zenkov

Event: rnational Conference on Image Processing

Sources: Crossref, ORCID
Added: July 20, 2019

2003 journal article

Invariant Euler-Lagrange equations and the invariant variational bicomplex

Acta Applicandae Mathematicae, 76(2), 137–193.

By: I. Kogan*  & P. Olver *

co-author countries: United States of America πŸ‡ΊπŸ‡Έ

Contributors: I. Kogan*  & P. Olver *

author keywords: calculus of variations; Lie group; moving frame; differential invariant; Euler-Lagrange equation; variational bicomplex
Sources: ORCID, NC State University Libraries
Added: July 28, 2019

2003 journal article

Two Algorithms for a Moving Frame Construction

Canadian Journal of Mathematics, 55(2), 266–291.

By: I. Kogan* 

Contributors: I. Kogan* 

Sources: Crossref, ORCID
Added: July 20, 2019

2002 conference paper

Computation of canonical forms for ternary cubics

Proceedings of the 2002 international symposium on Symbolic and algebraic computation - ISSAC '02, 151–160.

By: I. Kogan*  & M. Maza *

co-author countries: France πŸ‡«πŸ‡· United States of America πŸ‡ΊπŸ‡Έ

Contributors: I. Kogan*  & M. Maza *

Event: the 2002 international symposium

Sources: Crossref, ORCID
Added: July 28, 2019

2001 other

Inductive construction of moving frames

By: I. Kogan* 

Sources: Crossref, ORCID
Added: July 28, 2019

2001 other

The invariant variational bicomplex

By: I. Kogan*  & P. Olver

Sources: Crossref, ORCID
Added: July 28, 2019

2000 thesis

Inductive approach to Cartan's moving frame method with applications to classical invariant theory

https://www-proquest-com.prox.lib.ncsu.edu/docview/304612470/fulltextPDF/23BAF25E0A874972PQ/8?accountid=12725

Irina Kogan

Source: ORCID
Added: September 15, 2020

2000 journal article

Symmetries of Polynomials

Journal of Symbolic Computation, 29(4-5), 485–514.

By: I. Berchenko* & P. Olver *

co-author countries: United States of America πŸ‡ΊπŸ‡Έ
Sources: Crossref, ORCID
Added: July 28, 2019

Employment

Updated: September 15th, 2020 16:26

2003 - present

North Carolina State University Raleigh, North Carolina, US
Professor Mathematics

2000 - 2003

Yale University New Haven, Connecticut, US
Gibbs Instructor Mathematics

Education

Updated: September 15th, 2020 16:35

1994 - 2000

University of Minnesota Minneapolis, Minnesota, US
Ph.D. Mathematics

1986 - 1993

Gubkin Russian State University of Oil and Gas Moscow, RU
diploma (equivalent of MS) Applied Mathematics

Funding History

Funding history based on the linked ORCID record. Updated: September 15th, 2020 14:29

grant September 1, 2013 - August 31, 2017
AF: Small: Quantifier elimination by group analysis
Directorate for Computer & Information Science & Engineering
grant July 1, 2013 - June 30, 2017
Collaborative Research: Fundamental challenges in nonlinear hyperbolic PDEs
Directorate for Mathematical & Physical Sciences
grant September 15, 2007 - August 31, 2010
Symbolic Group-Invariant Computation
Directorate for Computer & Information Science & Engineering
grant September 15, 2007 - August 31, 2015
Noyce Mathematics Education Teaching Scholars at NC State University
Directorate for Education & Human Resources
grant September 15, 2005 - August 31, 2009
Scientific Computing Research Environments for the Mathematical Sciences (SCREMS): Parallel Computer Algebra
Directorate for Mathematical & Physical Sciences

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