Miodrag Cristian Iovanov

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1 Miodrag Cristian Iovanov Address: 3620 S. Vermont Ave. KAP 108 Los Angeles, CA web: old page: Current position Assistant Professor NTT (PostDoc) University of Southern California, USA and Research Associate, Department of Mathematics, University of Bucharest, ROMANIA; Studies PhD program in Mathematics, State University of New York, Buffalo 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 10. Employment: Postdoctoral (non-tenure track) Assistant Professor appointment, University of Southern California, CA Teaching Assistant and PhD Student, University at Buffalo, NY Research and University Assistant, University of Bucharest, Romania. Visiting positions: Spring research scholar, Rutgers University, NJ, USA Fall visiting student, MIT, Cambridge MA, USA. Spring research visitor, Univ. Antwerpen, Belgium. Spring research visiting student, Free Univ. Brussels, Belgium. Spring research visiting student, Univ. Antwerpen, Belgium. Research Grants and Fellowships co PI CNCS 1 grant Hopf Algebras in category theory, representation theory and combinatorics." European Union "POSDRU program" postdoctoral Fellowship (E.U. sponsored) PI (grant director) CNCS TE45 grant Hopf algebras, quantum groups, represen- 1 Romanian national council for scientific and academic research

2 tations and tensor categories" SUNY Buffalo Dean s Fellowship; SUNY Buffalo Dissertation Fellowship; : student/young researcher on CNCS Grant (nr. 24/ with UEFISCU) Groups, quantum groups, corings and representation theory" PN II (ID_1002) : Grant/Fellowship for young researchers, CNCS BD/ : student member of two collaborative Flemish-Romanian grants New Techniques in Hopf Algebra Theory and Graded Ring Theory" and Hopf algebras in Algebra, Geometry, Topology and Physics", U. Antwerp/ VUB Brussels/U.Bucharest/Babes-Bolyai University. Prizes and awards Professional The Prize of the Romanian Academy of Sciences for Mathematics for 2009 (awarded 2011) AMS Simons Travel Award, 2011 IHES 2 - France Fellowship for Summer 2013 (awarded 2011) Student First Prize National Mathematics Olympiad for high-school students, 1997,1994, Second Prize 1996,1995; part of the extended IMO and BMO Romanian team 1996,1997. Second Prize 2000, International Mathematics Olympiad for College Students. Research Interests Noncommutative algebra: algebras and coalgebras, (co)representation theory, Hopf algebras, corings; Category Theory and its applications, Tensor Categories; Algebraic Topology. Service to the profession Undergraduate Putnam Team coach - SUNY Buffalo, 2008 and University of Southern California, Master thesis committee, USC, 2010; students advised: Way Ting Lam (master thesis, 2010). Conference co-organizer: Lie Theory, Hopf algebras and related areas, Los Angeles, April Reviewer for Mathematical Reviews since 2004; refereed papers for Journal of Algebra, Communications in Algebra, Int. Electronic J. Algebra, International Journal of Mathematics and Mathematical Sciences, Arabian J. for Science and Engineering. 2 Institut des Hautes Etudes Scientifiques

3 Communications in conferences and invited talks 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 University of Bucharest, Romania, On open problems in the representation theory of infinite dimensional algebras, September, AMS-MAA Joint Meetings, January, 2011, Invited Talk Hopf algebras from graphs" - special MAA session on Hopf algebras. 17 Southern California Algebra Conference, UCLA, January 22, 2011, invited talk Why

4 coalgebras?". 18 CSUDH Colloquium, invited talk, Coalgebra structures in representation theory, homology, Hopf algebras and compact groups", February AMS Spring Central Section Meetings, Iowa City, IA, March 2011; Generalized Frobenius algebras, algebraic integral theory and applications to representation theory, Hopf algebras and compact groups Spring AMS Eastern Section Meeting, Worcester, Massachusetts, Special Session on Combinatorial Representation Theory, Infinite path and incidence (co)algebras: Frobenius and finiteness properties and new classes of quantum groups. April, Spring AMS Western Section Meeting, Las Vegas, Nevada, Special Session on Lie Algebras, Algebraic Transformation Groups and Representation Theory, Quantum groups with nonzero integral arising from path and incidence (co)algebras., April Iowa State University, invited talk, March Hopf algebras and tensor categories" conference, Almeria, Spain, 2011; Path and incidence coalgebras, Frobenius properties and a class of Hopf algebras. 24 Fall AMS South-Eastern Section Meeting, Winston-Salem, North Carolina, Special Session in Noncommutative Algebra; Serial categories, infinite abelian groups, and a class of quantum groups". September Fall AMS Western Section Meeting, Salt Lake City, Utah, Special Session in Noncommutative Geometry and Algebra, On the integrality of the Frobenius Schur indicators of tensor categories" October AMS Joint Meetings, Boston, MA, invited talk Frobenius Schur indicators of Symmetric Tensor Categories and Doubles of Groups.", January, Dartmouth College, invited talk, Fall 2011/Spring 2012.

5 Research Papers [all available as preprints at ] 0 The representation theory of profinite algebras - interactions with category theory, algebraic topology, and compact groups, PhD Thesis, SUNY Buffalo, 2009; adviser S.D.Schack. 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. Categ. Structures 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, Preprint 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 (dual) 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, 837Ű-845; preprint arxiv: (with S. Raianu) The Bijectivity of the Antipode Revisited, preprint arxiv: , to appear, Comm. Algebra (2011); preprint arxiv. 15 (with S. Crivei) Equivalences of categories, Gruson-Jensen duality and applications, 14p, to appear, J. Algebra Appl. (2011), preprint arxiv.

6 16 Abstract Integrals in Algebra, (32p); preprint arxiv: (new version), Submitted (2010). 17 Generalized Frobenius Algebras and Quantum Groups, (29p); preprint arxiv: (new version), Submitted (2010). 18 (with B. Torrecillas and M. Haim) On two conjectures of Faith, preprint arxiv, 13p, Submitted (2010). 19 (with C.Nastasescu and S.Dascalescu) Path Subcoalgebras, finiteness properties and quantum groups, preprint arxiv: p, Submitted (2011). 20 On Extensions of Rational Modules, preprint arxiv, (21p), Submitted (2011). 21 Serial linear categories, quantum groups and open problems in corepresentation theory, preprint arxiv (50p), Submitted (2011). 22 (with S. Dascalescu) Quiver algebras, path coalgebras, and co-reflexivity, preprint arxiv, (15p), Submitted (2011). 23 (with G. Mason and S. Montgomery) Frobenius-Schur indicators of Drinfel d doubles of groups, Preprint (14p) (on arxiv Nov/Dec 2011). 24 Faith s QF-conjecture for countable dimensional algebras modulo Jacobson radical, Preprint arxiv.

Curriculum Vitae Sebastian M. Burciu

Curriculum Vitae Sebastian M. Burciu Address: Institute of Mathematics of Romanian Academy P.O. Box 1-764, RO-014700, Bucharest, Romania Phone: (+40) (0) 21 319 65 06 Email: sebastian.burciu@imar.ro, smburciu@gmail.com