Alina Iacob Department of Mathematical Sciences Georgia Southern University Statesboro, GA 30460 Tel: (912) 478 1532 E-mail: aiacob@georgiasouthern.edu Education University of Kentucky, Lexington, KY Ph.D. in Mathematics August 2005 GPA: 4.00 Advisor: Professor Edgar E. Enochs University of Bucharest, Romania BA in Mathematics June 1992 Research Interests Homological Algebra, Commutative Algebra. Publications 1. Generalized Tate cohomology, Tsukuba Journal of Mathematics, 29(2):389 404, 2005. 2. Balance in generalized Tate cohomology. Communications in Algebra, 33(6):2009 2024, 2005. 3. Remarks on balance in generalized Tate cohomology, Archiv der Mathematik, 85(4):335 344, 2005. 4. with E.E. Enochs: The ℵ 1 -product of DG-injective complexes, Proceedings of the Edinburgh Mathematical Society, 49(2):257 266, 2006. 5. Direct sums of exact covers of complexes, Mathematica Scandinavica, 98(2):161-181, 2006. 6. Absolute, Gorenstein, and Tate torsion modules, Communications in Algebra, 35(5):1589 1606, 2007. 7. with E.E. Enochs, S. Estrada, and J.R. García Rozas: Gorenstein quivers, Archiv der Mathematik, 88(3):199 206, 2007. 8. with E.E. Enochs and O.M.G. Jenda: Closure under Transfinite Extensions, Illinois Journal of Mathematics, 51(2):561-569, 2007.
9. with E.E. Enochs, and S. Estrada: Rings with finite Gorenstein global dimension, Mathematica Scandinavica, 102(1):45-58, 2008. 10. with S.B. Iyengar: Homological dimensions and regular rings, Journal of Algebra, 322(10):3451-3458, 2009. This paper is ranked no. 1 in the list of Science Direct TOP25 Hottest Articles October 2009 - September 2010 Academic Year, Journal of Algebra (http://top25.sciencedirect.com) 11. DG-injective covers, #-injective covers, Communications in Algebra, 39(5):1673-1685, 2011. 12. Gorenstein flat dimension of complexes, Journal of Mathematics of Kyoto University, 49(4):817-842, 2009. 13. with E.E. Enochs, D. Bravo, O.M.G. Jenda and J. Rada Cotorsion pairs in C(R- Mod), Rocky Mountain Journal of Mathematics, 42(6):1787-1802, 2012. 14. with E. E. Enochs and S. Estrada Cotorsion pairs, model structures and adjoints in homotopy categories, Houston Journal of Mathematics, 40(1): 43-61, 2014. 15. with E. E. Enochs and S. Estrada Gorenstein projective and flat complexes over noetherian rings, Mathematische Nachrichten, 285(7): 834-851, 2012. 16. with E.E. Enochs and S. Estrada Balance with unbounded complexes, Bulletin of the London Mathematical Society, 44(3): 439-442, 2012. 17. with E.E. Enochs and S. Estrada Gorenstein injective projective and flat (pre)covers, Acta Mathematica Universitatis Comenianae, 83(2):217 230, 2014. 18. with E.E. Enochs Gorenstein injective covers and envelopes over noetherian rings, Proceedings of the American Mathematical Society, 143:5 12, 2015 (published electronically on August 18, 2014). 19. Gorenstein flat preenvelopes, Osaka Journal of Mathematics, 52: 895 903, 2015. 20. with E.E. Enochs, S. Estrada and S. Odabasi: Gorenstein projective resolvents, Communications in Algebra, 44(9): 3989 4000, 2016. 21. Gorenstein injective covers and envelopes over rings that satisfy the Auslander condition, Acta Mathematica Universitatis Comenianae, 85(1):165 172, 2016. 22. Gorenstein injective envelopes and covers over two sided noetherian rings, Communications in Algebra, to appear. 23. with E.E. Enochs, S. Estrada and S. Odabasi Tate-Betti and Tate-Bass numbers, submitted. 24. with S. Estrada and S. Odabasi Gorenstein flat and projective (pre)covers, Publicationes Mathematicae, accepted. 25. with L. Chrisensen and S. Estrada: A Zariski-local notion of F-total acyclicity for complexes of sheaves, Quaestiones Mathematicae, accepted.
26. with S. Estrada and K. Yeomans: Gorenstein projective precovers, Mediterranean Journal of Mathematics, accepted. 27. with S. Estrada: Gorenstein injective sheaves, Frontiers of Mathematics in China, accepted. 28. with S. Estrada and X. Fu: Totally acyclic complexes, Journal of Algebra, accepted. Awards/Grants/Research Stays Upcoming Research stay (the Research in Pairs program) at the Centre International de Rencontres Mathematiques, Luminy, France, June 5 16, 2017. Research stay (the Research in Pairs program) at the Mathematische Forschunginstitut Oberwolfach, Germany, June 5-18, 2016. Research stay (Research in Teams workshop) at the Banff International Research Station, Canada, May 22-29, 2016. National Science Foundation Grant DMS - 1501160 for organizing An International Conference in Homological Algebra at the University of Kentucky, July 22 24, 2015; continuation to organize the conference Homological Methods in Algebraic Structures, at Georgia Southern University, May 13 14, 2016. Start date 06/01/2015, End date 05/31/2016. Principal Investigator ($22,000 grant). Research Visit Grant from the Centre de Recerca Matematica, Barcelona, Spain, to participate in the research program on Interactions between Representation Theory, Algebraic Topology and Commutative Algebra, January 7 - June 30, 2015. The grant covers lodging in the Vila Universitaria, Centre de Recerca Matematica, Barcelona, Spain. Fundacion Seneca (Spain) Grant for the project Relative homological algebra and its applications (reference code 18934/JLI/13) Co-PI, July 1, 2014 June 30, 2016; Total amount: 17000 EUR (The PI is Sergio Estrada, University of Murcia, Spain) Georgia Southern University Faculty Research Award, Summer 2013 ($3,500 grant) Summer Research Initiative Award, UNC, Wilmington, Summer 2006 ($3,500 grant) Student Travel Support from the Graduate School Fellowship Office, University of Kentucky: Fall 2004 ($400). Royster TA Award for the 2002 2003 academic year, University of Kentucky ($500). Enochs Graduate Scholarship for Algebra for the 2002 2003 academic year, University of Kentucky ($1,000). Kentucky Opportunity Fellowship for the 2001 2002 academic year, University of Kentucky ($15,000). University Graduate Student Development Award for the 1999 2000 academic year, University of Kentucky ($500).
University of Kentucky Teaching Assistantship (August 1999 - May 2005) Teaching Experience Professor, Department of Mathematical Sciences, Georgia Southern University, 2016 Associate Professor (tenured), Department of Mathematical Sciences, Georgia Southern University, 2011 2016 Assistant Professor, Department of Mathematical Sciences (tenure-track), Georgia Southern University 2007 2011 Assistant Professor, Department of Mathematics and Statistics, University of North Carolina Wilmington (tenure-track) 2005 2007 Teaching Assistant, Department of Mathematics, University of Kentucky, Lexington, KY 1999 2005 Instructor, Department of Mathematics, Academy of Economics Studies, Bucharest, Romania 1992 1998 Teacher, High School, Bucharest, Romania 1992 1999 Classes taught Graduate: Modern Algebra I and II (at UNC Wilmington), Abstract Algebra I and II (at Georgia Southern University) Undergraduate: Trigonometry, Geometry for middle school teachers, Matrix Theory, Calculus (I, II, and III), Intermediate Algebra, College Algebra, Basic Calculus (I and II), Precalculus, Discrete Mathematics, Elementary Linear Algebra, Intermediate Linear Algebra, Mathematical Structures, Modern Algebra I and II.
Conferences and seminars University of Murcia - Department of Mathematics Algebra Seminar, University of Murcia, Spain. Talk: Totally acyclic complexes, July 18, 2016. Some Trends in Algebra, Prague 2015, Charles University in Prague, September 1-4, 2015 Talk: Gorenstein flat preenvelopes, September 1, 2015. An International Conference in Homological Algebra, University of Kentucky, Lexington KY, July 22-24, 2015 Talk: Gorenstein projective precovers over GF-closed rings, July 23, 2015. The seventh China Japan Korea International Conference on Ring Theory, Zhejiang University of Technology, Hangzhou, China, July 1-7, 2015 Plenary Talk: Gorenstein projective precovers over GF-closed rings, July 4, 2015. The Eighth Congress of the Romanian Mathematicians, Iasi, Romania, June 26 - July 1, 2015. Talk: Gorenstein projective precovers, June 27, 2015. University of Murcia - Department of Mathematics Algebra Seminar, University of Murcia, Spain. Talk: Gorenstein projective precovers, March 24, 2015. Workshop Homological bonds between Commutative Algebra and Representation theory, Centre de Recerca Matematica, Barcelona, Spain, February 16-20, 2015. Talk: Gorenstein flat and projective (pre)covers, February 19, 2015. University of Kentucky - Department of Mathematics Algebra and Geometry Seminar, University of Kentucky, Lexington. Talk: Gorenstein projective precovers, February 4, 2015. Algebraic Structures and their Applications, Spineto, Italy, June 16-20, 2014. Talk: Tate-Betti and Tate-Bass numbers University of Murcia - Department of Mathematics Colloquium, University of Murcia, Spain, June 13, 2014. Talk: Gorenstein injective envelopes and covers. Gorenstein flat preenvelopes Union College Mathematics Conference, Union College Schenectady NY, November 19-20, 2013. Talk: Gorenstein injective envelopes Joint International Meeting of the American Mathematical Society and the Romanian Mathematical Society in partnership with Simion Stoilov Institute of Mathematics of the Romanian Academy, 1 Decembrie University of Alba-Iulia, Romania, June 27-30,
2013. Talk: Gorenstein injective envelopes over noetherian rings Recent Trends in Rings and Algebras conference, University of Murcia, Spain, June 3-7, 2013. Talk: Gorenstein injective envelopes University of Almeria - Department of Mathematics Colloquium, University of Almeria, Spain, May 31, 2013. Talk: Gorenstein injective covers and envelopes Workshop on Gorenstein Homological Algebra, University of Science and Technology of China, May 25-26, 2013, Hefei, China. Talk: Gorenstein injective envelopes and covers Workshop on Representation Theory, Homological Algebra and Free Resolutions, MSRI, February 11-16, 2013. Georgia Southern University - Mathematical Sciences Departmental Colloquium, Georgia Southern University, November 16, 2012. Talk: Gorenstein injective envelopes Connections for women; Joint Introductory Workshop: Cluster Algebras and Commutative Algebra, MSRI, August 22 24, 2012. University of Murcia, Department of Mathematics Colloquium, Talk: DG-injective complexes, Murcia, Spain (June, 26, 2011) Augusta State University, Mathematics Colloquium, Talk: A survey of covers, Augusta GA (October 8, 2010) Commutative Algebra in the Southeast National Meeting, Talk: Gorenstein flat complexes over noetherian rings, Georgia State University, Atlanta, GA. (September 24-26, 2010) Colloquium Georgia Southern University Talk: Direct sums of DG-injective complexes, December 4, 2009 AMS Meeting 1051, Waco TX, October 16-18, 2009. Talk A characterization of regular rings. Commutative Algebra Meeting in the Southeast, Columbia SC, September 12-13, 2009. Talk: Homological dimensions and regular rings. Homotopy Theory and Applications, University of Nebraska-Lincoln, April 3-5, 2009. Georgia State University - University of South Carolina Algebra Regional Meeting, Georgia State University, Atlanta GA, September 13 14, 2008. Talk: Gorenstein flat dimension for complexes
Commutative Algebra: Connections with Algebraic Topology and Representation Theory, University of Nebraska-Lincoln, May 18-22, 2008. MAA-SE 87th Annual Meeting, The Citadel, Charleston SC, March 28-29, 2008. Talk: Some topics in Gorenstein Homological Algebra University of South Carolina - Georgia State University Commutative Algebra Seminar, USC, Columbia SC, January 19, 2008. Talk: DG-injective covers, #-injective covers University of South Carolina - Georgia State University Commutative Algebra Seminar, USC, Columbia SC, November 2-4, 2007. Talk: Avramov-Martsinkovsky type exact sequences Georgia Southern University - Mathematical Sciences Departmental Colloquium, Georgia Southern University, October 22, 2007. Talk: DG-injective complexes Advances in Algebra and Geometry Workshop, MSRI, April 28 May 05 2007. USC-GSU Commutative Algebra Seminar, University of South Carolina, Columbia SC, April 14, 2007. Talk: Direct sums of DG-injective complexes. AMS Meeting: 2007 Spring Southeastern Section Meeting, Davidson NC, March 3 4, 2007. Talk: Absolute, Gorenstein, and Tate torsion modules. Route 81 Conference on Commutative Algebra and Algebraic Geometry, Syracuse University, Syracuse NY, September 16, 2006. Talk: On DG-injective complexes. AMS Meeting, Florida International University, Miami FL, April 2, 2006. Talk: Direct sums of exact covers of complexes. Mathematics & Statistics Seminar, UNC Wilmington, November 18, 2005. Talk: Direct sums of DG-injective complexes. AMS Meeting, Lubbock TX, April 8 10, 2005. Talk: Remarks on balance in generalized Tate cohomology. Joint Mathematics Meetings, Atlanta, January 5 8, 2005. Talk: Products of DG-injective complexes. Algebra and Geometry seminar, University of Kentucky, Department of Mathematics. Talk: Balance in generalized Tate cohomology, November, 2004 Abelian Groups, Rings and Modules Conference, in honor of Edgar E. Enochs. Auburn University, September 9 11, 2004. Joint Midwest Commutative Algebra and Geometry Conference, in honor of Joseph Lipman. Purdue University, May 17 21, 2004.
Algebra and Geometry seminar, University of Kentucky, Department of Mathematics. Talk: Generalized Tate Cohomology, February, 2004 Topology seminar, University of Kentucky, Department of Mathematics. Talk: Generalized Tate Cohomology, December, 2003 Emerging Scholars Program Instructor Workshop. August 7 9, 2002. University of Texas at Austin, Professional activities Reviewer for Mathematical Reviews (since 2005) Reviewer for Zentralblatt fur Mathematik (since 2010) Refereed papers for Acta Mathematica Scientia Algebra Colloquium Algebras and Representation theory Arabian Journal of Science and Engineering Communications in Algebra Czechoslovak Mathematical Journal Glasgow Mathematical Journal Matematicki Vesnik Mathematica Scandinavica Journal of Algebra Journal of Algebra and its Applications Journal of the Australian Mathematical Society Kyoto Journal of Mathematics Proceedings of the American Mathematical Society Proceedings of the London Mathematical Society Rocky Mountain Journal of Mathematics Turkish Journal of Mathematics
Co-organizer (with Martha Abell, Sergio Estrada, Emil Iacob, David Stone, Sharon Taylor) of the conference Homological Methods in Algebraic Structures, Georgia Southern University, May 13-14 2016. Co-organizer (with Sergio Estrada, Tom Cheatham, Overtoun Jenda, and David Stone) of An International Conference in Homological Algebra, University of Kentucky, Lexington KY, July 22-24, 2015. PhD Committee Member for Sinem Odabasi; she succesfully defended her PhD Thesis (Cartan-Eilenberg Categories, Purity and Gorenstein Projective Resolvents) on March 13th at the University of Murcia, Spain. Co-organizer (with Adela Vraciu) of the AMS Special Session on Homological Methods in Commutative Algebra (SS 6A) at the AMS Meeting at Georgia Southern University, Statesboro GA, March 12-13, 2011. Local organizer (with Martha Abell, Frederic Mynard, Sze-Man Ngai, Xiangdong Xie and Shijun Zheng) of the AMS Meeting at Georgia Southern University, March 12-13, 2011. Co-organizer (with Edgar Enochs) of the AMS Special Session on Relative homological algebra (SS 11A) at the AMS meeting at the University of Kentucky, Lexington KY, March 27-28, 2010. Organizer of the Mathematics and Statistics Seminar, UNC Wilmington, 2005-2007. Master s Theses Directed Katelyn Yeomans Coggins: Gorenstein projective precovers in the category of modules, Georgia Southern University, 2016. Michael Fox: Gorenstein projective precovers, Georgia Southern University, 2016. Chasen Smith: On Gorenstein projective and Gorenstein flat modules, Georgia Southern University, 2011. Emily McLean: On Gorenstein injective modules, Georgia Southern University, 2011. Jonathan Crosby: Covering DG C complexes, Georgia Southern University, 2012. Service Marshal in the Graduate Commencement December 2015
Member of the COSM Academic Excellence Committee (2013-2015) Member of the Senate (2014-2016) Member of the Search Committee, Georgia Southern University (2010-2011, 2012-2013, 2013-2014) Marshal in the Graduate Commencement May 2013 Member of the Tenure and Promotion Committee, Georgia Southern University (2012-2013, 2014-2015) Alternate in the Senate (2012-2013) Member of the Peer Review Committee, Georgia Southern University (2010-2011, 2011-2012) COST Scholarship Committee member for the Scholars Day (Spring 2012) Course Coordinator for Calculus I, Georgia Southern University (Spring 2011) Member of the Search Committee, Georgia Southern University (2010) Member of the ODP Task force, Georgia Southern University (2010) Member of the Course and Curriculum Committee, Georgia Southern University (2008 2009) Member of the Grants and Scholarships Committee, Georgia Southern University (2008 2009, 2009-2010 (Chair), 2012-2013, 2013-2014, 2014-2015) Member of the Colloquium Committee, Georgia Southern University (2007 2008, 2008 2009, 2009 2010, 2011 2012, 2012 2013) Member of the Mathematics Tournament Committee, Georgia Southern University (2007 2015) Member of the Hospitality Committee, Georgia Southern University (2007 2012) Member of the Newsletter Board (2009 2010, 2010-2011), Georgia Southern University Member of the Faculty Committee, UNC Wilmington (2005 2006, 2006 2007) Organizer of the Mathematics & Statistics Seminar, UNC Wilmington (2005 2006, 2006 2007) Member of the Library Committee, UNC Wilmington (chair 2006 2007) Member of the Mathematics Interest Group, UNC Wilmington (2005 2006, 2006 2007) Professional certificates Grad Didactic II, University of Bucharest, Romania, August 1998. Definitivatul, University of Bucharest, Romania, August 1994.