Miodrag Cristian Iovanov Address: 3333 W 2nd St. #55-215 Los Angeles, CA 90004, USA email: iovanov@usc.edu, yovanov@gmail.com; miovanov@buffalo.edu web: http://yovanov.net 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, 2009. Studies - 2006-2009 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. - 2001-2003 Master in Algebra and Number Theory, Fac. Mathematics, University of Bucharest; Master GPA: 10.0 (grading scale 1-10) June 2003 - Master Dissertation thesis: Semiperfectness for Rings and Corings ; -grade 10. - 1997-2001 - University of Bucharest, Mathematics. Average GPA: 10.0 (grading scale 1-10). June 2001 - Graduation thesis: Finite Dimensional Hopf Algebras ; -grade 10. - 1993-1997 - Informatics High-school, Petrosani-HD/ROMANIA. Research visiting positions: February - May 2010 - research scholar, Rutgers University, NJ, USA January 2010 - research scholar, Universidad de Almeria, Spain. August - September 2008 - research assistant, MIT, Cambgridge MA, USA. February - March 2004 - research visit, Univ. Antwerpen, Belgium. March - May 2003 - research visit, Free Univ. Brussels, Belgium. April - June 2002 - research visit, Univ. Antwerpen, Belgium. Research Grants and Fellowships 2010: EU (European Union) funded PosDru Grant no. 89/1.5/S/58852/Mathematics. 1
2010: CNCSIS 1 -Romania TE Grant nr.88/28.07.2010, ID 45. 2010: Romanian Government & CNCSIS PD Grant (Awarded). 2006-2010 SUNY Buffalo Dean s Fellowship; 2008-2009 SUNY Buffalo Dissertation Fellowship; 2007-2010: CNCSIS - Romania Grant (nr. 24/28.09.07 with UEFISCU) Groups, quantum groups, corings and representation theory PN II (ID 1002) 2003-2006: Grant/Fellowship for young researchers, CNCSIS BD/86, by CNCSIS - Romania 2005-2006: 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); 2002-2004: 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 2001 - IMC 2 - Prague, Czech Republic - Second Prize July 2000 - IMC - London, Second Prize 1997 - NMO 3 - First Prize; part of the extended Romanian olympic team for IMO 4 and BMO 5 1996 - NMO - Second Prize; part of the extended Romanian olympic team for IMO and BMO 1995 - NMO - Second Prize 1994 - NMO - First Prize Teaching Experience Assistant Professor NTT (2009-2012) University of Southern California. Teaching Assistant (2006-2008) State University of New York, Buffalo. Teaching Assistant (2002-2004) and University Assistant (2004-2006), 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, www.imc-math.org 3 NMO = National Mathematics Olympiad for high-school students 4 IMO = International Mathematics Olympiad 5 BMO = Balcanic Mathematics Olympiad 2
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, 12-17 September 2007, Almeria, Spain; Quasi-co-Frobenius coalgebras and applications to Hopf Algebras. 3 Joint AMS-NZMS, 12-15 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, 2009. 9 California State University - Dominguez Hills, invited talk, October 14th, 2009. 10 Universidad de Almeria, invited talk On two conjectures of Faith for Pseudocompact Algebras, February 2010. 11 Rutgers University, USA, invited talk Generalized Frobenius Algebras, Integrals with connections and applications, April 2010. 12 CUNY (City University of New York), USA, invited talk, April 2010. 13 CUNY (City University of New York), USA, invited talk. Tensor categories and Frobenius weak Hopf algebras, May 2010. 14 University of Porto, Portugal, invited talk On some open problems in coalgebras, July 3
2010. 15 AMS-MAA Joint Meetings, January, 2011, Invited Talk - special MAA session on Hopf algebras. 4
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. 187-197. 2 (with S. Caenepeel)Comodules over semiperfect corings. Proceedings of the International Conference on Mathematics and its Applications (ICMA 2004), 135 160, Kuwait Univ. Dep. Math. Comput. Sci., Kuwait, 2005; http://homepages.vub.ac.be/ scaenepe/miudrag8.pdf. 3 Some examples in modules, ROMAI J. no.1 (2005), 95 99. 4 Co-Frobenius coalgebras., J. Algebra 303, no. 1 (2006), 146 153. 5 When is isomorphic to, Comm. Algebra 34, no. 11-12 (2006), 4551-4562. 6 The Splitting Problem for Coalgebras: A Direct Approach, Appl. Cat. Struct. 14, no. 5-6 (2006), 599-604. 7 Frobenius Extensions of Corings, Comm. Algebra 36 (2008), no. 3, 869 892. Preprint available at ArXiv.org:math.QA/0612477. 8 (with J. Vercruysse)Cofrobenius corings and related functors, J. Pure Appl. Algebra 212 (2008), no. 9, 2027 2058. Preprint available at ArXiv.org:math.RA/0610853 9 When does the rational torsion split off for finitely generated modules, Algebr. Represent. Theory 12 (2009), no. 2-5, 287 309. Partial preprint available at ArXiv.org:math.RA/0612478. 10 (with C. Năstăsescu, B. Torrecillas)The Dickson Subcategory Splitting Conjecture for Pseudocompact Algebras, J. Algebra 320 (2008), no. 5, 2144 2155. 11 The generating condition for coalgebras, Bull. Lond. Math. Soc. 41 (2009), no. 3, 483 494. 12 (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, 251 255; preprint arxiv:0805.2401. 13 (with Lars Kadison)When are weak quasi-hopf algebras Frobenius, Proc. Amer. Math. Soc., Vol. 138, No 3, March 2010, 837845; preprint arxiv:0810.4777. 14 Abstract Integrals in Algebra, (35p); preprint arxiv:0810.3740, submitted. 15 Generalized Frobenius Algebras and the Theory of Hopf Algebras, (29p); preprint arxiv:0803.0775, submitted. 16 (with S. Raianu) The Bijectivity of the Antipode Revisited, preprint arxiv: 1001.0180, to appear, Comm. Algebra. 5
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