Irina Kogan Professor Department of Mathematics North Carolina State University SAS Hall, room 3146 Campus Box 8205 , Raleigh, NC, 27695-8205 Phone: (919) 513-7437	Brief Vita Publication List

Selected Conferences:

• Symmetry, Invariants and Applications. Celebration of Peter Olver's 70th Birthday, August 3-5, 2022, Dalhousie University, Halifax, Nova Scotia, Canada.

• FoCM 2023, June 12-21, 2023, Paris, France.
• ISSAC 2023, July 24-27, 2023, Tromsø, Norway.
• ICIAM 2023, August 20-25, 2023, Tokyo, Japan.

Teaching and Advising:

Spring 2024:

• MA-555: Introduction to Manifold Theory.
  Topological and smooth manifolds, smooth maps and differentials, vector fields and flows, Lie derivatives, vector bundles, tensors, differential forms, exterior calculus, and integration on manifolds.

• MA-325: Introduction to Applied Mathematics. (Module 3)
  Symmetry methods for solving ordinary differential equations.

Course materials, homework assignments, office hours, and all other information about my classes are posted on https://wolfware.ncsu.edu/

• Past Courses

• Graduate Students

• What do grad students in math do all day? by Yakov Berchenko-Kogan.

• If the Parameters Change by Kina Sekito.

• REU 2020 project: Geometric methods in computer vision.

  At the JMM 2021, Students' Poster and Presentation received a honorable mention

• Math Honors Program

• Triangle Math Teachers' Circle

Research Interests:

Applied and Computational Differential and Algebraic Geometry

In particular:

• Geometric study of differential and algebraic equations.
• Symmetry reduction of differential equations and variational problems.
• Computational invariant theory: differential and algebraic invariants.
• Problems of equivalence and symmetry under group actions.
• Geometric methods in computer image recognition and image processing.
• Geometric modeling.
• Symbolic Computation.

Funded Research Projects

Publications

Selected Presentations

Computer code and supplementary materials

Math Programs for Young People

• Chapel Hill Math Circle
• Art of Problem Solving Academy, Morrisville Campus, NC
• Art of Problem Solving on-line
• Mathcamp
• Math Kangaroo
• Education Program for Gifted Youth (EPGY) at Stanford University
• Johns Hopkins University Center for Talented Youth
• Mathcounts
• Math Path
• The North Carolina School of Science and Mathematics
• Moscow State 57th School
• Independent University of Moscow (hosts Math in Moscow study abroad program )
• Budapest Semesters in Mathematics
• Zvonkin: Math from Three to Seven ( in Russian: "Malyshi i matematika", 2007)
• Rozhkovskaya: Math Circles for Elementary School Students

Family Pages

• Yakov (Yasha) Berchenko-Kogan
• Anatoly Larkin

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