Education

• M.A. Mathematics, Algebra, Sofia University
• Ph.D. Mathematics, Algebra, Moscow State University

Permanent Positions:

• Senior Researcher, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences
• Associate Professor of Mathematics, American University in Bulgaria

Research Interests

Non-commutative Algebra and applications for Quantum Groups –
Non-commutative Geometry and Symbolic Computation.

• Set-theoretic solutions of the Yang-Baxter equation and related algebraic objects, Artin-Schelter regular rings, Noetherian rings;
• Combinatorial methods in noncommutative algebra: the study of concrete algebraic objects, presented via generators and relations; non-commutative Groebner bases.

Selected Publications

• T. Gateva-Ivanova, S. Majid, "Matched pairs approach to set theoretic solutions of the Yang-Baxter equation", J. Algebra, 319 (2008) 1079-1112.
• T. Gateva-Ivanova, S. Majid, "Set theoretic solutions of the Yang-Baxter equation, graphs and computations" J. Symbolic Computation, 42 (2007), 1079-1112.
• T. Gateva-Ivanova, "A combinatorial approach to the set-theoretic solutions of the Yang-Baxter equation.", J. Math. Physics, 45, (2004), 3828 -3858.
• T. Gateva-Ivanova, "Binomial skew-polynomial rings, Artin-Schelter regular rings, and binomial solutions of the Yang-Baxter equation", Serdica Math. J. 30 (2004), 431-470.
• T. Gateva-Ivanova, E. Jespers, and J. Okninski, "Quadratic algebras of skew type and the underlying semigroups", J.Algebra, 270 (2003), 635-659.

Visiting Positions in Research Institutions and Universities

• 2008 Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, Invited Fellow, Programme "Combinatorics and Statistical Mechanics" Jan 14-July 4, 2008. six months
• 2004-2008 The Abdus Salam International Centre for Theoretical Physics, (ICTP) Trieste, Italy total ten months.
• 2007 University of Granada. five months.
• 2006 Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, Invited Fellow, Programme "Noncommutative Geometry" Three months.
• 2006 University of Granada. Two months.
• 2003 University of Antwerp, Belgium. Six months.
• 2002 Harvard University. Six months.
• 1994-95 Massachusetts Institute of Technology (Fulbright Research Scholar). Ten months.