Scientific activities of the Department of Algebra at IMI in the period 2004-2004

Publications of the staff members for the period 2004-2008

Vesselin Drensky

Research papers

1. V. Drensky, L. Gerritzen, Nonassociative exponential and logarithm, J. Algebra 272 (2004), No. 1, 311-320.
2. V. Drensky, O.M. Di Vincenzo and V. Nardozza, Algebras satisfying the polynomial identity [x1; x2][x3; x4; x5] = 0, J. Algebra and its Applications 3 (2004), No. 2, 121-142.
3. V. Drensky, Invariants of unipotent transformations acting on noetherian relatively free algebras, Serdica Math. J. 30 (2004), Nos. 2-3, 395-404.
4. V. Drensky, L. Hammoudi, Combinatorics of words and semigroup algebras which are sums of locally nilpotent subalgebras, Canadian Math. Bull. 47 (2004), No. 3, 343-353.
5. V. Drensky, A.I. Papistas, Automorphisms of free left nilpotent Leibniz algebras and fixed points, Commun. In Algebra 33 (2005), 2957-2975.
6. V. Drensky, Coordinates in ideals of polynomial algebras, in “Proceedings of the Special Session on Affine Algebraic Geometry”; Eds. J. Gutierrez, V. Shpilrain, J-T. Yu, Contemp. Math. 369 (2005), 85-95.
7. V. Drensky, G.K. Genov, Multiplicities in the trace cocharacter sequence of two 4x4 matrices, Mediterr. J. Math. 2 (2005), 231-241.
8. V. Drensky, J.-T. Yu, Automorphisms fixing a variable of Khx; y; zi, J. Algebra 291 (2005), 250-258.
9. V. Drensky, C.K. Gupta, Constants of Weitzenboeck derivations and invariants of unipotent transformations acting on relatively free algebras, J. Algebra 292 (2005), 393-428.
10. V. Drensky, H. Aslaksen and L. Sadikova, Defining relations of invariants of two 3x3 matrices, J. Algebra 298 (2006), 41-57.
11. V. Drensky, G.K. Genov and A. Valenti, Multiplicities in the mixed trace cocharacter sequence of two 3x3 matrices, International J. Algebra and Computations 16 (2006), No. 2, 275-285.
12. V. Drensky, F. Benanti, Defining relations of noncommutative trace algebra of two 3x3 matrices, Adv. Appl. Math. 37 (2006), No. 2, 162-182.
13. V. Drensky, L. Sadikova, Generators of invariants of two 4x4 matrices, C.R. Acad. Bulg. Sci. 59 (2006), No. 5, 477-484.
14. V. Drensky, R. La Scala, Groebner bases of ideals invariant under endomorphisms, J. Symbol. Comp. 41 (2006) No. 7, 835-846.
15. V. Drensky, R. Holtkamp, Constants of formal derivatives of non-associative algebras, Taylor expansions and applications, Rendiconti del Circolo Matematico di Palermo, Ser. II 55 (2006), 369- 384.
16. V. Drensky, J.-T. Yu, Automorphic equivalence problem for free associative algebras of rank two, International J. Algebra and Computations 17 (2007), No. 2, 221-234.
17. V. Drensky, J.-T. Yu, The strong Anick conjecture is true, J. European Math. Soc. 9 (2007), No. 4, 659-679.
18. V. Drensky, J.-T. Yu, Tame automorphisms fixing a variable of free associative algebras of rank three, International J. Algebra and Computations 17 (2007), Nos. 5/6, 999-1011.
19. V. Drensky, J.-T. Yu, A cancellation conjecture for free associative algebras, Proc. Amer. Math. Soc. 136 (2008), No. 10, 3391-3394.
20. V. Drensky, F. Benanti, Defining relations of minimal degree of the trace algebra of 3x3 matrices, J. Algebra 320 (2008), No. 2, 756-782.
21. V. Drensky, J.-T. Yu, Automorphisms of polynomial algebras and Dirichlet series, J. Algebra 321 (2009) 292-302.
22. V. Drensky, J.-T. Yu, Dimension of automorphisms with fixed degree for free algebras of Nielsen Schreier varieties, C.R. Acad. Bulg. Sci. (to appear).
23. V. Drensky, C. Chan, A. Edelman, R. Kan, P. Koev, On computing Schur functions and series thereof, J. Algebraic Combinatorics (to appear).
24. V. Drensky, R. Holtkamp, Planar trees, free nonassociative algebras, invariants, and elliptic integrals, Algebra and Discrete Mathematics (to appear).
25. V. Drensky, L. Makar-Limanov, The Conjecture of Nowicki on Weitzenboeck derivations of polynomial algebras, J. Algebra and Its Applications (to appear).
26. V. Drensky, R. La Scala, Defining relations of low degree of invariants of two 4x4 matrices, International J. Algebra and Computations (to appear).
27. V. Drensky, J.-T. Yu, Degree estimate for commutators, preprint.
28. V. Drensky, J. Szigeti, L. van Wyk, Centralizers in endomorphism rings, preprint.

Survey articles

1. V. Drensky, Computing with matrix invariants, Math. Balk., New Ser. 21 (2007), Nos. 1-2, 101-132.
2. V. Drensky, J.-T. Yu, Coordinates and automorphisms of polynomial and free associative algebras of rank three, Front. Math. China 2 (2007), No. 1, 13-46.
3. V. Drensky, Algebras with polynomial identities and the Bulgarian contribution to them (in Bulgarian), J. Bulg. Acad. Sci. 120 (2007), No. 6, 34-41.

Announcements:

1. V. Drensky, G.K. Genov, Multiplicities of Schur functions with applications to invariant theory and PI-algebras, C.R. Acad. Bulg. Sci. 57 (2004), No. 3, 5-10.
2. V. Drensky, H. Aslaksen and L. Sadikova, Defining relations of invariants of two 3x3 matrices, C.R. Acad. Bulg. Sci. 58 (2005), No. 6, 617-622.
3. V. Drensky, J.-T. Yu, The strong Anick conjecture, Proc. Nat. Acad. Sci. 103 (2006), No. 13, 4836-4840.
4. V. Drensky, F. Benanti, Defining relations of minimal degree of the trace algebra of 3x3 matrices, C.R. Acad. Bulg. Sci. 60 (2007), No. 2, 103-110.

Short Communications and Abstracts

1. V. Drensky, L. Hammoudi, On combinatorics of words and algebras which are sums of locally nilpotent subalgebras, Abstracts of Papers Presented to AMS 25 (2004), No. 2, p. 363.
2. V. Drensky, Computing with matrix invariants, Antalya Algebra Days VII, May 18-22, 2005, Abstracts, 23-24. http://www.math.metu.edu.tr/antalya/2005/abstracts/.
3. V. Drensky, F. Benanti, Defining relations of minimal degree of the trace algebra of 3£3 matrices, Abstracts, New Trends in Mathematics and Informatics, Jubilee International Conference 60 Years Institute of Math. and Inf., Bulg. Acad. of Sci., Sofia, 6-8 July, 2007, p. 11 (with F. Benanti).
4. V. Drensky, R. Holtkamp, Planar trees, free nonassociative algebras, invariants, and elliptic integrals, Abstracts, New Trends in Mathematics and Informatics, Jubilee International Conference 60 Years Institute of Math. and Inf., Bulg. Acad. of Sci., Sofia, 6-8 July, 2007, p. 13.

Books authored:

1. V. Drensky, E. Formanek, Polynomial Identity Rings, Advanced Courses in Mathematics, CRM Barcelona, Birkhauser, Basel-Boston, 2004.
2. V. Drensky, Combinatorial Approach to Algebras with Polynomial Identities, preprint.

Georgi Tomanov

1. Dmitry Kleinbock, George Tomanov, Flows on S-arithmetic homogeneous spaces and applications to metric Diophantine approximation, Comment. Math. Helv. 82, No. 3, 519-581 (2007).
2. George Tomanov, Values of decomposable forms at S-integral points and orbits of tori on homogeneous spaces, Duke Math. J. 138, No. 3, 533-562 (2007).
3. George Tomanov, Divergent orbits on S-adic homogeneous spaces, Pure Appl. Math. Q. 3, No. 4, 969-985 (2007).

Ivan Chipchakov

1. I.D. Chipchakov, Embeddings in quasilocal fields and computations in Brauer groups of arbitrary fields, C.R. Acad. Bulg. Sci. 61 (2008), No 10, 1229-1238.
2. I.D. Chipchakov, On the residue fields of Henselian valued stable fields, J. Algebra 319 (2008), No 1, 16-49.
3. I.D. Chipchakov, On the residue fields of Henselian valued stable fields, C.R. Acad. Bulg. Sci. 60 (2007), No 5, 471-478.
4. I.D. Chipchakov, Class field theory for strictly quasilocal fields with Henselian discrete valuations, manuscripta math. 119 (2006), 383-394.
5. I.D. Chipchakov, On nilpotent Galois groups and the scope of validity of the norm limitation theorem in one-dimensional abstract local class field theory, in Proceedings of ICTAMI 05 held in Alba Iulia, Romania, 15.9-18.9. 2005, Acta Universitatis Apulensis No 10/2005, 149-167.
6. I.D. Chipchakov, Henselian discrete valued fields admitting one-dimensional local class field theory, Serdica Math. J. 30 (2004), No 2-3, 363-394.
7. I.D. Chipchakov, One-dimensional local class field theory for primarily quasilocal fields, C.R. Acad. Bulg. Sci. 57 (2004), No 3, 11-16.

Tatiana Gateva-Ivanova

1. Tatiana Gateva-Ivanova, Shahn Majid, Matched pairs approach to set theoretic solutions of the Yang-Baxter equation, J. Algebra 319, No. 4, 1462-1529 (2008).
2. Tatiana Gateva-Ivanova, Shahn Majid, Set-theoretic solutions of the Yang-Baxter equation, graphs and computations, J. Symb. Comput. 42, No. 11-12, 1079-1112 (2007).
3. Tatiana Gateva-Ivanova, Binomial skew polynomial rings, Artin-Schelter regularity, and binomial solutions of the Yang-Baxter equation, Serdica Math. J. 30, No. 2-3, 431-470 (2004).
4. Tatiana Gateva-Ivanova, A combinatorial approach to the set-theoretic solutions of the Yang-Baxter equation, J. Math. Phys. 45, No. 10, 3828-3858 (2004).

Georgi Genov

Research papers:

1. Drensky, Vesselin; Genov, Georgi K.; Valenti, Angela, Multiplicities in the mixed trace cocharacter sequence of two 3x3 matrices, Int. J. Algebra Comput. 16, No. 2, 275-285 (2006).
2. Drensky, Vesselin; Genov, Georgi K. Multiplicities in the trace cocharacter sequence of two 4x4 matrices, Mediterr. J. Math. 2, No. 2, 231-241 (2005).
3. Drensky, V.; Genov, G.K., Multiplicities of Schur functions with applications to invariant theory and PI-algebras, C. R. Acad. Bulg. Sci. 57, No. 3, 5-10 (2004).

1. Genov, Georgi K.; Mihovski, S.V., Mollov T., Algebra (in Bulgarian), The Plovdiv University Publishing House, (2006).

Atanas Iliev

1. A.Iliev, L.Manivel, Cubic hypersurfaces and integrable systems, Amer. J. of Math. 130, No 6, 2008, pp. 1445-1475 (2008)
2. A.Iliev, L.Manivel, Prime Fano threefolds and integrable systems, Math. Ann. 339, No. 4, 937-955 (2007)
3. A.Iliev, K.Ranestad, Addendum to K3-surfaces of genus 8 and varieties of sums of powers for cubic fourfolds, C. R. Acad. Bulg. Sci., 60 (2007)
4. A.Iliev, K.Ranestad, The abelian fibration on the Hilbert cube of a K3 surface of genus 9, International Journal of Math., 18, No. 1 (2007), 1-26, e-print math.AG/0507016
5. A.Iliev, L. Manivel, Pfaffian Lines and Vector Bundles on Fano Threefolds of Genus 8, J. Algebraic Geom. 16 (2007), 499-530; e-print math.AG/0504595
6. A.Iliev, Dimitri Markushevich, Parametrization of sing-Theta for a Fano 3-fold of genus 7 by moduli of vector, Asian J. Math. 11, No. 3, 427-458 (2007).
7. A.Iliev, L.Manivel, Prime Fano threefolds and integrable systems, Math. Ann. 339, No. 4, 937-955 (2007).
8. A.Iliev, L.Manivel, Pfaffian lines and vector bundles on Fano threefolds of genus 8, J. Algebr. Geom. 16, No. 3, 499-530 (2007).
9. A.Iliev, L. Manivel, Severi varieties and varieties of reductions, J. Reine Angew. Math. 585, pp. 93-139 (2005)
10. A.Iliev, L. Manivel, Varieties of reduction for gl_n, Ciliberto, C. (ed.) et al., Projective varieties with unexpected properties. A volume in memory of Giuseppe Veronese. Proceedings of the international conference “Varieties with unexpected properties”, Siena, Italy, June 8--13, 2004. Berlin: Walter de Gruyter. 287-316 (2005).
11. A.Iliev, K.Ranestad, Geometry of the Lagrangian Grassmannian LG(3,6) with applications to Brill-Noether loci, Mich. Math. J. 53, No. 2, 383-417 (2005).
12. A.Iliev, L.Manivel, The Chow ring of the Cayley plane, Compos. Math. 141, No. 1, 146-160 (2005).
13. A.Iliev, D.Markushevich, Elliptic curves and rank-2 vector bundles on the prime Fano threefold of genus 7, Adv. Geom. 4, No. 3, 287-318 (2004).

Valentin Iliev

1. Weissman, Michael B.; Iliev, Valentin Vankov; Gutman, Ivan A pioneer remembered biographical notes about Arthur Constant Lunn. MATCH Commun. Math. Comput. Chem. 59, No. 3, 687-708 (2008).
2. Iliev, Valentin Vankov, Isomerism as Intrinsic Symmetry of Molecules, Mathematical Chemistry Monographs, No 5, University of Kragujevac and Faculty of Science Kragujevac, 2008, 250 p. ISBN: 978-86-81829-86-8.
3. Iliev, Valentin Vankov, On Some Isomers of the Linear Alkanes, in Computation in Modern Science and Engineering: Proceedings of the International Conference on Computational Methods in Science and Engineering 2007 (ICCMSE 2007): Vol. 2, Parts A and B, ISBN 978-0-7354-0478-6, December 2007, 528 – 532.
4. Iliev, Valentin Vankov, The generic reactions of cyclopropane. I, MATCH Commun. Math. Comput. Chem. 57, No. 3, 525-548 (2007).
5. Iliev, Valentin Vankov, The genetic reactions of ethane, MATCH Commun. Math. Comput. Chem. 56, No. 1, 21-95 (2006); correction ibid. 57, No. 2, 517 (2007).
6. Iliev, Valentin Vankov, A Short Survey of Lunn-Senior’s Model of Isomerism in Organic Chemistry, Lecture Series on Computer and Computational Sciences, Brill Academic Publishers, vol. 4B (2005), 1586 - 1588.
7. Iliev, Valentin Vankov, On Lunn-Senior's mathematical model of isomerism in organic chemistry. II., MATCH Commun. Math. Comput. Chem. 50, 39-56 (2004).

Vassil Kanev

1. Kanev, V.; Lange, H. Polarization type of isogeneous Prym-Tyurin varieties, Alexeev, Valery (ed.) et al., Curves and abelian varieties. International conference, Athens, GA, USA, March 30--April 2, 2007. Providence, RI: American Mathematical Society (AMS). Contemporary Mathematics 465, 147-174 (2008)
2. Kanev, Vassil, Unirationality of Hurwitz spaces of coverings of degree < = 5, Preprint del Dipartimento di Matematica ed Applicazioni, Uni. Palermo, 334, pp. 1-16 (2007).
3. Kanev, Vassil , Hurwitz spaces of Galois coverings of P^1, whose Galois groups are Weyl groups, J. Algebra 305, No. 1, 442-456 (2006).
4. Kanev, Vassil, Hurwitz spaces of quadruple coverings of elliptic curves and the moduli space of abelian threefolds A_3(1, 1, 4), Math. Nachr. 278, No. 1-2, 154-172 (2005).
5. Kanev, Vassil , Hurwitz spaces of triple coverings of elliptic curves and moduli spaces of Abelian threefolds, Ann. Mat. Pura Appl. (4) 183, No. 3, 333-374 (2004).
6. Kanev, Vassil , Irreducibility of Hurwitz spaces, Preprint del Dipartimento di Matematica ed Applicazioni, Uni. Palermo. Febbraio. 241, pp. 1-34, (2004), math.AG/0509154.

Andrey Todorov

1. Frenkel, Igor B.; Todorov, Andrey N., Complex counterpart of Chern-Simons-Witten theory and holomorphic linking, Adv. Theor. Math. Phys. 11, No. 4, 531-590 (2007).
2. Todorov, Andrey, Weil-Petersson volumes of the moduli spaces of CY manifolds, Commun. Anal. Geom. 15, No. 2, 381-405 (2007).
3. Bass, Jamey; Todorov, Andrey, The analogue of the Dedekind eta function for CY manifolds I., J. Reine Angew. Math. 599, 61-96 (2006).
4. Liu, Kefeng; Todorov, Andrey; Yau, Shing-Tung; Zuo, Kang, Shafarevich's conjecture for CY manifolds I, Pure Appl. Math. Q. 1, No. 1, 28-67 (2005).
5. Lian, Bong H.; Todorov, Andrey; Yau, Shing-Tung, Maximal unipotent monodromy for complete intersection CY manifolds, Am. J. Math. 127, No. 1, 1-50 (2005).

Hristo Iliev

1. H. Iliev, On the irreducibility of the Hilbert scheme of curves in P5, Commun. Algebra 36, No. 4, 1550-1564 (2008).
2. H. Iliev, A refinement of the classical Clifford inequality, J. Korean Math. Soc. 44, No. 3, 565-583 (2007).
3. H. Iliev, On the irreducibility of the Hilbert scheme of space curves, Proc. Am. Math. Soc. 134, No. 10, 2823-2832 (2006).

Teaching, invited lecture series, invited talks, supervising doctoral students, etc. over the period 2004-2008

Vesselin Drensky

Invited lecture series taught

• Advanced course on rings and polynomial identities, CRM Barcelona, 2003
• Topics in Algebra, University of Hong Kong, 2004
• Mini course on PI-algebras, University of Ottawa and Memorial University of Newfoundland, Canada, 2008

Georgi Tomanov

Invited talks given

• Flots diagonaux sur des espaces homogenes et applications a la theorie des nombres, Ecole Polytechnique, Paris , May 2008
• Divergent orbits on homogeneous spaces of arithmetic type, at the International conference “Lamination and group actions in dynamics”, Moscow Independent University, Russia, February, 2007
• Weyl chamber flows and values of decomposable forms at integral points, International conference “Geometry and Dynamics on Groups and Spaces”, Max Planck Institut fur Mathematik in Bonn (Germany), September 2006
• On the Auslander conjecture, International conference in honor of Gregory Margulis, Yale University, USA, February 2006
• Actions of maximal tori on homogeneous spaces and applications to number theory, Workshop “Rigidity, Dynamics and Group Actions” at Banff International Research Station for Mathematical Innovation and Discovery (BIRS), Canada, July 2005
• On the actions of unipotent subgroups on the space of lattices», International conference “Dynamical systems: from Algebraic to Topological Dynamics”, Max Planck Institut fur Mathematik in Bonn, Germany, July 2004
• Closed tori orbits on S-arithmetic homogeneous spaces, International conference “Emerging Applications in Measure Rigidity” organized by The American Institute of Mathematics (AIM) at Palo Alto, USA, Jun 2004

Student's supervision:

• Yoan Gelineau (PhD)
• Remi Barrault (PhD)

Other activities:

• Reporter for BSF (United States-Israel Bi-national Science Foundation)
• Co-organizer of GDR “Geometrie ergodique en courbure negative” (This a research project financed by CNRS, i.e. Centre National de la Recherche Scientifique is a government-funded research organization, under the administrative authority of France's Ministry of Research) member of the hiring commission of the math department of the Univ. of Lyon, France member of the Council of the Institute Camille Jordan, CNRS, France

Atanas Iliev

Regular courses taught

• Probabilite et Statistique, Universite de Lille, 2004

Valentin Iliev

Regular courses

• Statistics, American University in Bulgaria, 2004
• Finite Mathematics, American University in Bulgaria, 2004
• Statistics, American University in Bulgaria, 2005
• Finite Mathematics, American University in Bulgaria, 2005
• Statistics, American University in Bulgaria, 2006
• Finite Mathematics, American University in Bulgaria, 2006
• Statistics, American University in Bulgaria, 2007
• Finite Mathematics, American University in Bulgaria, 2007
• Differential Equations, American University in Bulgaria, 2007
• Statistics, American University in Bulgaria, 2008
• Finite Mathematics, American University in Bulgaria, 2008
• Differential Equations, American University in Bulgaria, 2008

Taiana Gateva-Ivanova

Regular courses taught

• Elementary Linear algebra and Analytical Geometry, American University in Bulgaria, 2008
• Calculus III, American University in Bulgaria, 2008
• Abstract Algebra, African University of Science and Technology (AUST), Abuja, Nigeria, 2008
• Calculus I, American University in Bulgaria, 2007
• Elementary Linear algebra and Analytical Geometry, American University in Bulgaria, 2007
• Topics in Abstract Algebra, American University in Bulgaria, 2007
• Elementary Linear algebra and Analytical Geometry, American University in Bulgaria, 2006
• Ideals, Varieties and Algorithms, American University in Bulgaria, 2006
• Combinatorial Methods in Noncommutative Algebra, Universidad de Granada, May-June 2006
• Calculus I, American University in Bulgaria, 2005
• Elementary Linear algebra and Analytical Geometry, American University in Bulgaria, 2005
• Introduction to Algebraic Geometry, American University in Bulgaria, 2005
• Elementary Linear algebra and Analytical Geometry, American University in Bulgaria, 2005
• Topics in Abstract Algebra, American University in Bulgaria, 2005
• Calculus I, American University in Bulgaria, 2004
• Elementary Linear algebra and Analytical Geometry, American University in Bulgaria, 2004
• Topics in Abstract Algebra, American University in Bulgaria, 2004

Student's supervision:

• Thesis Adviser of Maria del Socorro Garcia Roman, at the University of Antwerp, Title of the thesis: "Set-theoretic Solutions of the Yang-Baxter equation" 2003-2004. Thesis defended June 2004.

Vassil Kanev

Invited talks given

• Geometry of Algebraic Varieties, Università di Ferrara (Italy), 2005
• Universita' di Roma Tre (Italy), 2005
• University of Erlangen (Germany), 2006

Student's supervision:

• Francesca Vetro (Universita' di Palermo),defended a PhD thesis in 2005
• Mariacristina Priola (Universita' di Palermo)

Hristo Iliev

Regular courses

• Calculus, Sofia University, 2006
• Ordinary Differential Equations, Sofia University, 2007
• Calculus-1, Americal University in Bulgaria, 2008
• Introductory Mathematics, American University in Bulgaria, 2008

Conferences and seminars organized by the Department of Algebra

2003

2007

Grants and Contracts

• Grants 876/1988 and 969/1989 of the Ministry of Culture, Education and Science, and Grants from the National Science Foundation M2/1991, MM404/1994.
• Grant MM605/1996 Combinatorial and Computational Methods in Algebras with Polynomial Identities.
• Grant MM1106/2001 Theoretical and Computer Investigations in Algebra and its Applications.
• Project MI1503/2003 Algebra and Algebraic Geometry.
• Grants MM605/1996 and MM1106/2001 were awarded 1-st prize for grants in Mathematics for the corresponding sessions.
• Members of the department participated in USA-Bulgarian project supported by NSF of USA and Ministry of Culture, Education and Science of Bulgaria in the early nineties.
• The Department of Algebra has had joint research projects with the Mathematical Institutes of the Hungarian Academy of Sciences and the Romanian Academy.
• V. Iliev participated in the project “Random Combinatorial Structures: Asymptotic Enumeration Results and Limit Theorems” with Thechnion - Israel Institute of Technology, Haifa, Israel.
• Taiana Gateva-Ivanova has been a beneficiary of the following grants and fellowships:
• 2008 Research Fellowship from the Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, Programme "Combinatorics and Statistical Mechanics". six months. 14 January-4 July, 2008
• 2008 Research Fellowship (Senior Visitor), the Abdus Salam International Centre for Theoretical Physics, 25 July -31 August , 2008
• 2007 Research Fellowship (Senior Visitor), the Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy. two months.
• 2007 Research Fellowship Programme "Estancias de Profesores e Investigadores Extranjeros en Règimen de Año Sabático en España" of Spanish Ministry of Education and Science, Granada, Spain. at the University of Granada, Granada, Spain. five months.
• 2006 Royal Society Research Grant, Research Fellowship Invited Participant in the Programme "Noncommutative Geometry" at the Isaac Newton Institute for Mathematical Sciences, Cambridge, UK. three months.
• 2006 Research Fellowship (Senior Visitor), the Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy. two months.
• 2006 Grant “Mobility of visiting professors in official doctorate programme" of the Spanish Ministry of Education and Science, to participate in the Doctorate Program of the University of Granada, Granada. two months. http://www.ugr.es/~gomezj/cursonccomb.html
• 2005 Research Fellowship (Senior Visitor), the Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy. three months.
• 2004 Research Fellowship (Senior Visitor), the Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy. two months.
• 2003 Long Term Research Fellowship of the European Science Foundation (ESF), Programme "Noncommutative Geometry", visiting research scholar, at the University of Antwerp, Antwerp, Belgium. six months.
• 2002 Research Grant from the Department of Mathematics, Harvard University, Research Scholar, Exchange Visitor Program P1, six months.
• 2000-2002 Research Grant "Fonds voor Wetenshhappelijk Onderzoek", Belgium, joint research (E. Jespers), Project "Noetherian semigroups and semigroup algebras". several short-term visits to the Free University of Brussels.
• 2000 Research Grant, from the Free University of Brussels. one month.
• 1994-95 Fulbright Research Fellowship, Research Scholar at Massachusetts Institute of Technology, Cambridge, MA, USA. ten months.
• 1990-92 Research Grant, NSF - U.S.A. and Bulgarian Academy of Sciences, Joint project "Algebra and Algebraic Geometry" . Visiting scholar at MIT, 1990. four months.

Foreign researchers who have visited IMI on behalf of the Department of Algebra in the period 2007-2008

2008

• Changho Keem (professor at Seoul National University, Korea) – 2008/03/22 - 2008/04/09
• Roberto LaScala (Professor at the University of Palermo, Italy)

2007

• Francesca Benatti (University of Palermo, Italy)
• Luisa Carrini (University of Messina, Italy)
• Angela Valenti (University of Palermo, Italy)
• Torsten Hoge (University of Wuppertal, Germany)