The University of Iowa

14 MacLean Hall,

Iowa City, IA 52242-1419

USA

miodrag-iovanov@uiowa.edu

PhD: SUNY Buffalo, 2009

MS & BS: University of Bucharest, ROMANIA

For a quick look at my CV, you can access this file --> CV.rtf

NEW! CONFERENCE ON: Homological Methods and Tilting Theory in Finite Dimensional Algebras, August 16-19, University of Iowa, Iowa City IA: details HERE

PUTNAM & UNDERGRADUATE MATH

Together with my colleague Ionut Chifan, we have been working with undergraduate students interested in Putnam and to pursue and learn a variety of topics in undergraduate mathematics since 2013. Our students have obtained honorable team ranks for the UIowa team (such as 27th, 51st, 28th, 60th in various years). For students interested, please do not hesitate to contact me or Ionut at the above email. Putnam is an opportunity for students to learn many exciting topics ranging from basic algebra, combinatorics, number theory to game theory, probability, analysis, through hands-on approach direct problem solving, which usually takes place in an open type discussion with everyone pithching in ideas. We usually meet on Wednesdays at 3.30-5.20 in the Fall semester.

During 2018-2019 academic year, in paralel with Putnam sessions and complementing this I will be teaching a 1-st year Seminar "Nature, Math and People" (Fall 2018) and an undergraduate research seminar (Spring 2018), so there will be many opportunities for undergraduates - we are looking for students interested broadly in math, science, math education and/or research, so please contact me and joint these classes! Many of these will not be only about aquiring mathematical knowledge, but also a lot about expanding and pushing the boundary of our imagination!

RESEARCH

My research interests are in algebra and related fields, more specifically, I've done work and I like to learn and think about problems in: noncommutative algebra and ring theory, Hopf algebras and quantum groups, representation theory, category theory, combinatorics/discrete math, linear algebra. I also have an interest homological algebra and category theory, topology and combinatorics. Below you can find a list of my papers with preprints.

Preprints of most of these can be found also on the arxiv (possibly different versions)http://arxiv.org/find/all/1/au:+iovanov/0/1/0/all/0/1

**[1]** *Characterization of PF rings by the finite topology on duals of R modules*, **An. Univ. Bucuresti Mat.**, Anul LII, Nr.2 (2003), pp. 187-197. ArtFinTop.pdf

**[2]** *Comodules over semiperfect corings*. (with S. Caenepeel) **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. SPerCorings.pdf

**[3]** *Some examples in modules*, **ROMAI J.** (Journal of the Romanian Society for Industrial and Applied Mathematics) no.1 (2005), 95--99. RJv1n1-Iovanov.pdf

**[4]** *Co-Frobenius coalgebras*, **J. Algebra** 303, no. 1 (2006), 146--153. FinalCoFcoalg.pdf

**[5]** *When is $\prod$ isomorphic to $\bigoplus$*, **Comm. Algebra ** 34, no. 11-12 (2006), 4551 - 4562. FinalWPIS.pdf

**[6]** *The splitting problem for coalgebras: a direct approach*, **Appl. Cat. Struct.** 14, no. 5-6 (2006), 599-604. ArticleRSC.pdf

**[7]** *Frobenius extensions of corings*, **Comm. Algebra** 36 (2008), no. 3, 869-892. Preprint available at ArXiv.org:math.QA/0612477. NewEcorCofrob.pdf

**[8]** *Cofrobenius corings and related functors* (with J. Vercruysse), **J. Pure Appl. Algebra** 212 (2008), no. 9, 2027-2058. Preprint available at ArXiv.org:math.RA/0610853. cofrobenius.pdf

**[9]** *The Dickson subcategory splitting conjecture for pseudocompact algebras *(with C. Nastasescu, B. Torrecillas), **J. Algebra** 320 (2008), no. 5, 2144-2155. FinalDSpCo.pdf

**[10]** *When does the rational torsion split off for finitely generated modules*, **Algebr. Represent. Theory** 12 (2009), no. 2-5, 287-309. Preprint ArXiv.org:math.RA/0612478. FinalfgRatSplit.pdf

**[11]** *The generating condition for coalgebras*, **Bull. Lond. Math. Soc.** 41 (2009), no. 3, 483-494. FinalGenCCoal.pdf

**[12]** *The antipode of a (dual) quasi-Hopf algebra with nonzero integrals is bijective *(with M. Beattie & S. Raianu), **Algebr. Represent. Theory** 12 (2009), no. 2-5, 251-255; arXiv:0805.2401.AntBijQHfinal.pdf

**[13]** *When are weak quasi-Hopf algebras Frobenius* (with Lars Kadison), **Proc. Amer. Math. Soc.**, Vol. 138, No 3 (2010), 837–845; preprint arXiv:0810.4777. WkHAlg.pdf

**[14]** *The bijectivity of the antipode revisited* (with S. Raianu), **Comm. Algebra** 39, no. 12 (2011), 4662–4668; preprint arXiv: 1001.0180. H-ant-bij-30-Nov.pdf

**[15]** *Symmetry for comodule categories* (with S. Crivei), **J. Algebra Appl.** 11 (2012), no. 1, 1250009, 16 pp.; preprint arXiv. crivei-iovanov-revised.pdf

**[16]** *On two conjectures of Faith* (with B. Torrecillas and M. Haim), **J. Algebra** 367 (2012), 166–175, preprint arXiv. PFConj7.pdf

**[17]** *Path subcoalgebras, finiteness properties and quantum groups *(with S.Dascalescu and C.Nastasescu), J. Noncommutative Geometry Vol 7 (2013), no.3;preprint arXiv:1012.4335 26p.pathsubcoalgebrasfinal.pdf* *

**[18]** Quiver algebras, path coalgebras, and co-reflexivity (with S. Dascalescu and C.Nastasescu), Pac. J. Math Vol. 262 (2013), No. 1, 49-79, preprint arXiv. FinalQuiverAC.pdf

**[19]** Complete path algebras and rational modules (invited paper/special volume), Bull. Math.Soc. Sci. Math. Roumanie, Tome 56 (104) No. 3 (2013), 349–364. RatII-BullMath

**[20]** *Frobenius structural matrix algebras *(with S.Dascalescu and S.Predut), Linear Algebra Appl. 439 (2013), 3166-3172. preprint: structuralFrobenius4.pdf* *

**[21]** *Abstract algebraic integrals and Frobenius categories, *to appear, Internat. J. Math.** 24 **(2013), No. 10, 1350081. preprint arXiv:0810.3740 (new version). AbsIAlg.pdf

**[22]** *Generalized Frobenius algebras and Hopf algebras,** *Canad. J. Math. 66 (2014), No. 1, 205-240. http://dx.doi.org/10.4153/CJM-2012-060-7, (36p), preprint arXiv:0803.0775*. *RepTHAlg.pdf

**[23]** * On extensions of rational modules*, Israel J. Math. 199 (2014), No.2, 585-622. ExtRat.pdf * *

**[24]** *Semiartinian profinite algebras have nilpotent Jacobson radical,* Algebr. Represent.Theory. 17 (2014), No.4, 1145-1154. DOI 10.1007/s10468-013-9438-7. preprint: SAprofAlg.pdf

**[25]** *FSZ-groups and Frobenius-Schur indicators of quantum doubles* (with G. Mason and S. Montgomery), Math. Res. Lett. 21 (2014), No.4, 1-23. preprint arXiv:1208:4153. IMM8_20_12.pdf * *

**[26]** *On semiprimary selfinjective rings and Faith’s QF conjecture*, Proc. Edinburgh Math. Soc. 58 (2015), 2019-229. preprint arXiv:1111.2901. QCF.pdf

**[27]** Semiperfect and coreflexive coalgebras (with S. Dascalescu), to appear, Forum Math. 27 (2015), No. 5, 2587-2608. preprint: SpCoRef13.pdf

**[28]** Triangular matrix coalgebras and applications, to appear, Linear and Multilinear Algebra 63 (2015), No.1, 46-67. preprint: UTrCoApFinal.pdf

**[29]** Frobenius-Artin algebras and infinite linear codes, J. Pure Appl. Algebra 220 (2016), 560-576. preprint: FrArtAl.pdf* *

[30] Generators for comonoids and universal constructions, (with A. Abdulwahid), Arch. Math. 206 (2016), 21-33. preprint: GenFLim-New.pdf

**[31] Infinite dimensional diagonalization and semisimplicity, Israel J. Math. 215 (2016), No. 2, 801-855. preprint: InfDD-SS.pdf**

**[32] On the Toeplitz algebra and direct finiteness, ****(with A. Sistko), ****Contemp. Math. 688 (2017), 113-124. preprint: ToeplitzDF.pdf**

**[33]** **Grassmannian semigroups and their representations, (with V. Camillo), J. Aust. Math. Soc. online (2018). **** AnnSGr.pdf**

[34] On the matrix of rotation symmetric Boolean functions, (with L. Ciungu), to appear, Discrete Math. preprint: RotSF.pdf

**[35] ****Infinite dimensional serial algebras and their representations, to appear, J. Algebra. preprint: SerAlg.pdf**

**Papers submitted/in progress**

**[*]** Maximal subalgebras of finite dimensional algebras, (with A. Sistko), submitted, preprint arXiv: MaxAlg.pdf

**[*]** The infinite tame-wild dichotomy and related problems, submitted, preprint arXiv (v1 old); new version (Apr. 2018): Tame-Wild.pdf

[*] *Incidence algebras and thin representation theory, *(with G. Koffi), submitted, preprint arXiv. IncAlg.pdf

**[*]** On invertible algebras (with J. Edison), in preparation.

**[*]** Infinite MacWilliams rings, preprint.

**[*]** Uniserial representations of finite dimensional algebras, preprint.

Disclaimer

I acknowledge all the rights of the respective journals for the papers above which are preprints or reprints of published or accepted articles; official versions may differ and can be found at the respective websites.

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