Professional
experience: Professor, Department Chair (2006-2008), California State
University Dominguez Hills, 2004-present, Associate Professor, California State
University Dominguez Hills, 2002-2004, Visiting Associate Professor, Syracuse
University, 2000-2002,
Associate Professor, University of Bucharest, 1996-2000, Assistant Professor,
University of Bucharest, 1992-1995, Instructor, University of Bucharest 1988-1992.
Ph.D.
thesis:
"New contributions to the structure of graded rings and modules",
1991, University
of Bucharest,
supervisor Constantin Năstăsescu.
Current
scientific interests: Hopf algebras acting on algebras and
coalgebras, Quantum Groups.
International
Conferences: Bressanone, Italy (1990), Ramat Gan, Israel (1991), Chicago
(1992), Antwerp, Belgium (1996), Saint John's, Canada (1997), Brussels, Belgium
(1998), Berkeley (1999) (a video of the lecture is available at http://www.msri.org/publications/ln/msri/1999/hopfalg/raianu/1/),
Chicago (2002), New York (2003), Haifa (2004), Santa Barbara (2005), Saint
John's, Canada (2009), Sde Boker, Israel (2010).
Invited
Lectures:
Brussels, Belgium (1990, 1991, 1992, 1993, 1994, 1995, 1996,
1998), Antwerp, Belgium (1990, 1991, 1992, 1993, 1994, 1995, 1996, 1998), Hasselt, Belgium
(1994, 1996, 1998), Beer Sheva, Israel (1992), Ferrara, Italy (1997), Padova,
Italy (1997), Murcia, Spain (1998), University of Southern California (2001),
University of Illinois at Chicago (2001), University of New Mexico, Albuquerque
(2003), El Camino College, Torrance (2004), Cal Poly Pomona (2004), Cal State
San Bernardino (2006), Cal State Channel Islands (2007), DePaul University
(2011), Cal State Channel Islands (2013).
Courses
taught:
Beginning Algebra, Intermediate Algebra, Mathematics for
Elementary School Teachers: Real Numbers, ,
Mathematics for Elementary School Teachers: Geometry and Probability, CSET I
and II Content Course, Precalculus, Calculus I, II, III, Linear Algebra,
Abstract Algebra, Number Theory, Complex Analysis, Probability and Statistics,
General Algebra, Algebra and Arithmetic, Modern techniques in elementary
mathematics, Algebra and Analytic Geometry, Geometry, Lie algebras, Algebras
and coalgebras, Representation theory of finite dimensional algebras, Graded
rings and modules, Applications of group theory. Systematically involved in
teacher preparation.
Grants,
Prizes, and Other Activities:
- First prize in the 1981 annual scientific
contest for students at the University
of Bucharest.
Title of paper: "The Cousin complex".
- Gheorghe Titeica prize of the Romanian Academy, 2001.
- Guest
researcher University
of Antwerp
1995-1996.
- Visiting professor Ferrara (February
1997).
- Two grants from the Romanian Academy of
Science (coordinator) 1994, 1995.
-Research project joint with the
Universities of Antwerp, Brussels,
Hasselt,
all Belgium,
(participant) 1996-1999.
- Campus coordinator for the Louis
Stokes Alliance for Minority Participation, NSF-Cal State grant,
2003-2006.
- Reviewer for Zentralblatt für
Mathematik and Mathematical Reviews.
- Member of the AMS.
- Member of the MAA.
- Member of the AWM.
- Co-organizer (with Gizem
Karaali and Susan
Montgomery) of AMS special section Hopf Algebras and
Quantum Groups, Claremont
McKenna,
2008.
- Co-organizer (with Davida Fischman) of MAA Invited Paper Session
Topics in Hopf Algebras, Joint Meetings, New Orleans, 2011. - Editorial Board ISRN Algebra,
2011-present, journal website: http://www.isrn.com/journals/algebra/
- Editorial Board Algebra Letters,
2012-present, journal website: http://scik.org/index.php/abl/
List
of publications: Books: 1. Structuri algebrice, Tipografia Univ. Buc., 1981 (with I. D. Ion and C. Manoil). 2. Lecţii de
Algebră Comutativă, Tipografia Univ. Buc.,
1984 (with T. Albu). 3. Algebre Hopf,Tipografia Univ. Buc. 1999 (with S. Dăscălescu
and C. Năstăsescu). 4. Hopf Algebras: an Introduction, Marcel Dekker Monographs
and Textbooks, vol. 235, 2001 (with S. Dăscălescu
and C. Năstăsescu). Papers
(published or accepted): 1. Cousin complex, local cohomology and torsion theory,
Communications in Algebra, 9(16) 1982, 691-1720 (with T. Albu). 2. Gabriel dimension of graded rings, Rend. Sem. Mat. Univ.
Padova, 71 (1984), 195-208 (with C. Năstăsescu). 3. Stability conditions for commutative rings with Krull
dimension, Methods in Ring Theory, Reidel 1984, 391-402 (with C. Năstăsescu). 4. Finiteness conditions for graded modules (gr-∑(∆)-injective modules), Journal of Algebra, 100
(1) 1986, 179-190 (with C. Năstăsescu). 5. A remark on strongly graded rings with finiteness
conditions, Bull. Math. Soc. Math. Roumanie,
30 (78) 1986, 265-269. 6. External homogeneization for finitely generated abelian
groups, Ann. Univ. Ia\c{s}i, XXX, 1985, 58-60 (with C.
Năstăsescu). 7. Gabriel dimension of graded rings II, Journal of Pure and
Applied Algebra, 50 (1988), 73-79 (with C. Năstăsescu). 8. Cousin complex characterization of non-noetherian
n-Gorenstein rings, Communications in Algebra, 15 (7), 1987, 1533-1541. 9. Modules graded by G-sets, Mathematische Zeitschrift, 203
(1990), 605-627 (with C. Năstăsescu and F. Van Oystaeyen). 10. Induction and coinduction for Hopf algebras, Journal of
Algebra, 165, 1994, 204-222, (with S. Caenepeel
and F. Van Oystaeyen). pdf 11. Semiinvariants for Hopf algebra actions, Israel Journal
of Mathematics, 88, 1994, 279-306 (with M. Cohen and S.
Westreich). 12. Graded Coalgebras and Morita-Takeuchi Contexts, Tsukuba
Journal of Mathematics, 19 (1995) 395-407 (with S.
Dăscălescu, C. Năstăsescu and F. Van
Oystaeyen). 13. Finite Hopf-Galois Coextensions, Crossed Coproducts and
Duality, Journal
of Algebra, 178 (1995) 400-413 (with S. Dăscălescu
and Y. Zhang). 14. Coinduction for infinite dimensional Hopf algebras, Journal of Pure and
Applied Algebra, 107 (1996) 141-151
(with S. Caenepeel and B. Zhou). 15. A Maschke-type theorem for crossed coproducts, Analele Univ.
Constanţa, 2 (1994), 44-51 (with S. Caenepeel
and S. Dăscălescu). 16. Cosemisimple Hopf algebras coacting on coalgebras, Communications in
Algebra, 24 (1996), 1649-1677 (with S. Caenepeel
and S. Dăscălescu). 17. Induction functors for the Doi-Koppinen unified Hopf modules,
in Abelian groups and modules, Proceedings of the Padova Conference, Padova,
Italy, June 23-July 1, 1994, Kluwer, 1995, eds. A. Facchini and C. Menini, p.
73-94., (with S. Caenepeel) pdf 18. Cleft coextensions and crossed coproducts,
Communications in Algebra, 24 (1996), 1229-1243 (with S.
Dăscălescu and G. Militaru). 19. Strongly graded coalgebras and crossed coproducts (with S.
Dăscălescu and C. Năstăsescu), in Abelian
Groups, Module Theory and Topology, Proceedings of the fourth week on algebra
and algebraic geometry, eds. S. Caenepeel, A.
Verschoren, Marcel Dekker Lecture Notes in Pure and Appl. Math., vol. 197, 1998, 103-110. 20. Smash (Co)products from Adjunctions,
(with S. Dăscălescu and F. Van
Oystaeyen), Hopf Algebras, and Brauer Groups, Proceedings in honour of
Adalberto Orsatti's 60th birthday, eds. D. Dikranjan, L. Salce, Marcel Dekker
Lecture Notes in Pure and Appl. Math., vol. 201, 1998,
131-142. 21. Some remarks on a theorem of H.-J.
Schneider, Communications in Algebra, 24
(1996), 4477-4493 (with S.
Dăscălescu and F. Van Oystaeyen). 22. Galois extensions for co-Frobenius Hopf algebras (with M. Beattie and S.
Dăscălescu), J. Algebra, 198 (1997), 164-183. 23. The Categories of Yetter-Drinfel'd Modules, Doi-Hopf
Modules and Two-sided Two-cosided Hopf Modules,(with M. Beattie, S. Dăscălescu and F.
Van Oystaeyen), Applied Categorical Structures, 6 (1998), 223-237. 24. Morphisms of Relative Hopf Modules, Smash Products and
Duality, (with C. Menini), J. Algebra 219 (1999) 547-570. 25. Classifying pointed Hopf algebras of dimension 16, (with S.
Dăscălescu and S. Caenepeel),
Comm. Algebra 28 (2000), 541-568. 26. An easy proof of the uniqueness of integrals, in Hopf
Algebras and Quantum Groups, Proceedings of the Brussels Conference 1998, (eds.
S. Caenepeel and F. Van Oystaeyen), Marcel Dekker Lecture Notes in Pure and
Appl. Math., vol 209, 2000, 237-240. 27. Co-Frobenius Hopf algebras with a separable Hopf-Galois
extension are finite dimensional, (with M. Beattie and S.
Dăscălescu), Proceedings of the AMS 128, nr. 11 (2000), 3201-3203. 28. Finite Hopf-Galois extension equivalent to crossed
products (with M. Saorín), Comm. Algebra 29 (2001), 4871-4882. 29. Semiprime crossed products over copointed Hopf algebras,
(with D. Quinn), Proceedings of the AMS 131 (2003), 29-33. 30. Lifting of Nichols algebras of type B2 (with M. Beattie and S.
Dăscălescu), with an appendix "A
generalization of the q-binomial
theorem", with I. Rutherford, Israel J. of Math 132 (2002), 1-28. 31. Coalgebras from formulas, in Hopf Algebras, Proceedings of the
International Conference on Hopf Algebras held at DePaul University, Chicago,
Illinois, edited by Jeff
Bergen, Stefan Catoiu, William
Chin, Lecture Notes In Pure and Applied Mathematics, Vol. 237, Marcel Dekker, 2004, 215-224. pdf 32. Does the Jordan Form of a Matrix have the Maximum Number
of Zeros? (with F. Brulois and G. Jennings), Bull.
Math.Soc. Sc. Math. Roumanie Tome 48(96) No. 4, 2005,
359-360. pdf 33. Duality for Finite Hopf Algebras explained by Corings,
(with S. Caenepeel and D. Quinn), Applied
Categorical Structures
14 (2006), no. 5-6, 531-537. pdf 34. Balanced bilinear forms for corings (with M.
Beattie and D. Bulacu), "Modules and Comodules" Proceedings of a
conference dedicated to Robert Wisbauer,
Trends in Mathematics, 87-99, 2008, Birkhäuser, (Editors: Tomasz
Breziński, José Luis Gomez Pardo, Ivan Shestakov, Patrick Smith). pdf 35. The
antipode of a dual quasi-Hopf algebra with non-zero integrals is bijective
(with M. Beattie and M.C. Iovanov), Algebras and Representation Theory 12
(2009), no. 2-5, 251-255. pdf 36.
The bijectivity of the antipode revisited (with M.C. Iovanov), Comm. Algebra 39
(2011), no. 12, 4662–4668. pdf 37.
Stable equivalences of Morita type and Frobenius extensions (with M. Beattie and
S. Caenepeel), Annals of The Univ. of Bucharest (mathematical series) 2 (LX)
(2011), 123-126. pdf Expository
articles: 1. Module Cohen-Macaulay, in Seminar de Algebră, Univ.
Iaşi, 1986. 2. Smash products and applications, Proceedings of the
Algebra Conference, Braşov,
1988 (with C. Năstăsescu). 3. Crossed coproducts, Proceedings of the International
Conference on Representation Theory, Constanţa, 1995. Undergraduate
Student Research Projects: 1. Computing areas using Green’s Theorem and a Software
Planimeter, (with Paul Davis) Teaching Mathematics Applications 2007, Volume
26, Number 2, 103-108, Oxford University Press, pdf