Miodrag Cristian Iovanov

Transcription

1 Miodrag Cristian Iovanov Address: 3333 W 2nd St. # Los Angeles, CA 90004, USA [email protected], [email protected]; [email protected] web: Current position Assistant Professor NTT University of Southern California, USA and (part time) Research Associate, Department of Mathematics - Algebra, University of Bucharest, RO- MANIA; PhD, State University of New York at Buffalo, Studies PhD program in Mathematics, State University of New York, Buffalo; Thesis: THE REPRESENTATION THEORY OF PROFINITE ALGEBRAS: Interactions with Category Theory, Algebraic Topology and Compact Groups Master in Algebra and Number Theory, Fac. Mathematics, University of Bucharest; Master GPA: 10.0 (grading scale 1-10) June Master Dissertation thesis: Semiperfectness for Rings and Corings ; -grade University of Bucharest, Mathematics. Average GPA: 10.0 (grading scale 1-10). June Graduation thesis: Finite Dimensional Hopf Algebras ; -grade Informatics High-school, Petrosani-HD/ROMANIA. Research visiting positions: February - May research scholar, Rutgers University, NJ, USA January research scholar, Universidad de Almeria, Spain. August - September research assistant, MIT, Cambgridge MA, USA. February - March research visit, Univ. Antwerpen, Belgium. March - May research visit, Free Univ. Brussels, Belgium. April - June research visit, Univ. Antwerpen, Belgium. Research Grants and Fellowships 2010: EU (European Union) funded PosDru Grant no. 89/1.5/S/58852/Mathematics. 1

2 2010: CNCSIS 1 -Romania TE Grant nr.88/ , ID : Romanian Government & CNCSIS PD Grant (Awarded) SUNY Buffalo Dean s Fellowship; SUNY Buffalo Dissertation Fellowship; : CNCSIS - Romania Grant (nr. 24/ with UEFISCU) Groups, quantum groups, corings and representation theory PN II (ID 1002) : Grant/Fellowship for young researchers, CNCSIS BD/86, by CNCSIS - Romania : member of the bilateral Flemish-Romanian Grant New Techniques in Hopf Algebra Theory and Graded Ring Theory of University Antwerpen (BELGIUM)/Free University Brussels (BELGIUM)/University of Bucharest (ROMANIA)/Babes-Bolyai University, Cluj Napoca (ROMANIA); : member of the bilateral Grant of the Flemish and Romanian governments Hopf algebras in Algebra, Geometry, Topology and Physics, University Antwerpen (BEL- GIUM)/Free University Brussels (BELGIUM)/University of Bucharest (ROMANIA); Undergraduate Prizes and awards July IMC 2 - Prague, Czech Republic - Second Prize July IMC - London, Second Prize NMO 3 - First Prize; part of the extended Romanian olympic team for IMO 4 and BMO NMO - Second Prize; part of the extended Romanian olympic team for IMO and BMO NMO - Second Prize NMO - First Prize Teaching Experience Assistant Professor NTT ( ) University of Southern California. Teaching Assistant ( ) State University of New York, Buffalo. Teaching Assistant ( ) and University Assistant ( ), University of Bucharest, Romania; classes and recitations in Calculus, Linear Algebra, Abstract Algebra, Number Theory. Research Interests Noncommutative algebra: algebras and coalgebras, (co)representation theory, Hopf algebras, cor- 1 Romanian national council for scientific and academic research, the Romanian equivalent of NSF 2 IMC = International Mathematics olympiad for College Students, 3 NMO = National Mathematics Olympiad for high-school students 4 IMO = International Mathematics Olympiad 5 BMO = Balcanic Mathematics Olympiad 2

3 ings; Category Theory and its applications, Tensor Categories; Topology and Algebraic Topology (recently) Other Reviewer for Mathematical Reviews since 2004 Communications in conferences and invited talks (selected) 1 International Conference on Mathematics and its Applications (ICMA 2004); Comodules over semiperfect corings. 2 Non-commutative Rings and Geometry, September 2007, Almeria, Spain; Quasi-co-Frobenius coalgebras and applications to Hopf Algebras. 3 Joint AMS-NZMS, December 2007, Wellington, New Zealand; (Co)Representation Theoretic Approach to Fundamental Results in Hopf Algebras. 4 Joint AMS Meetings January 6-9, 2008, San Diego, USA; Generalizations of Frobenius algebras and representation theoretic proofs of fundamental results in Hopf algebras.. 5 South Eastern AMS Meetings March 28-30, 2008 Baton Rouge, LA, USA. - invited talk. 6 Spring 2008 Western Sectional Meeting (Meeting #1039) of the AMS, May 2-4, 2008, Claremont, CA - invited talk. 7 NoMaP Conference (Noncommutative Structures in Mathematics and Physics), July 22-26, 2008 Brussels, Belgium; (satellite to the 5 th Meetings of the European Mathematical Society, Amsterdam, July 2008). The algebraic theory of abstract integrals 8 USC Algebra Seminar: Tensor categories and Representation theory, USC, October 19th, California State University - Dominguez Hills, invited talk, October 14th, Universidad de Almeria, invited talk On two conjectures of Faith for Pseudocompact Algebras, February Rutgers University, USA, invited talk Generalized Frobenius Algebras, Integrals with connections and applications, April CUNY (City University of New York), USA, invited talk, April CUNY (City University of New York), USA, invited talk. Tensor categories and Frobenius weak Hopf algebras, May University of Porto, Portugal, invited talk On some open problems in coalgebras, July 3

4 AMS-MAA Joint Meetings, January, 2011, Invited Talk - special MAA session on Hopf algebras. 4

5 Research Papers 1 Characterization of PF rings by the finite topology on duals of R modules, An. Univ. Bucureşti, Mat., Anul LII, Nr.2 (2003), pp (with S. Caenepeel)Comodules over semiperfect corings. Proceedings of the International Conference on Mathematics and its Applications (ICMA 2004), , Kuwait Univ. Dep. Math. Comput. Sci., Kuwait, 2005; scaenepe/miudrag8.pdf. 3 Some examples in modules, ROMAI J. no.1 (2005), Co-Frobenius coalgebras., J. Algebra 303, no. 1 (2006), When is isomorphic to, Comm. Algebra 34, no (2006), The Splitting Problem for Coalgebras: A Direct Approach, Appl. Cat. Struct. 14, no. 5-6 (2006), Frobenius Extensions of Corings, Comm. Algebra 36 (2008), no. 3, Preprint available at ArXiv.org:math.QA/ (with J. Vercruysse)Cofrobenius corings and related functors, J. Pure Appl. Algebra 212 (2008), no. 9, Preprint available at ArXiv.org:math.RA/ When does the rational torsion split off for finitely generated modules, Algebr. Represent. Theory 12 (2009), no. 2-5, Partial preprint available at ArXiv.org:math.RA/ (with C. Năstăsescu, B. Torrecillas)The Dickson Subcategory Splitting Conjecture for Pseudocompact Algebras, J. Algebra 320 (2008), no. 5, The generating condition for coalgebras, Bull. Lond. Math. Soc. 41 (2009), no. 3, (with. M. Beattie and S. Raianu) The antipode of a quasi-hopf algebra with nonzero integrals is bijective, Algebr. Represent. Theory 12 (2009), no. 2-5, ; preprint arxiv: (with Lars Kadison)When are weak quasi-hopf algebras Frobenius, Proc. Amer. Math. Soc., Vol. 138, No 3, March 2010, ; preprint arxiv: Abstract Integrals in Algebra, (35p); preprint arxiv: , submitted. 15 Generalized Frobenius Algebras and the Theory of Hopf Algebras, (29p); preprint arxiv: , submitted. 16 (with S. Raianu) The Bijectivity of the Antipode Revisited, preprint arxiv: , to appear, Comm. Algebra. 5

6 17 (with S. Crivei) Equivalences of categories, Gruson-Jensen duality and applications, 15p, submitted. 18 (with B. Torrecillas and M. Haim) On two conjectures of Faith, 13p, submitted. 19 (with C.Nastasescu and S.Dascalescu) Subcoalgebras of quiver and incidence coalgebras, preprint 23p. 20 On some open problems in coalgebras, preprint, 20p. 6