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Emzar Khmaladze
Researcher
Head of Mathematics Department
Professor
Doctor
Department of Matematics
School of Science and Technology


Education  
Tbilisi State University - Faculty of Mechanics and Mathematics - Master - 1987-01-09 - 1992-01-06
Georgian Acad. of Sci. - A. Razmadze Math. Institute - Doctor - 1992-01-09 - 1995-01-07
Publications  
Google Scholar - https://scholar.google.com/citations?hl=en&user=nDqFH8QAAAAJ
Actor of a crossed module of dialgebras via tetramultipliers - 0
On cohomology monoids of small categories - 1998
Non-abelian tensor and exterior products modulo q and universal q- central relative extension of Lie algebras - 1999
Non-abelian tensor and exterior products of Lie algebras modulo q and related constructions - 1999
Non-abelian tensor product of Lie algebras modulo q - 1999
More about homological properties of precrossed modules - 2000
Non-abelian tensor product of Lie algebras and its derived functors - 2002
Homology of Lie algebras with \Lambda_q coefficients and exact sequences - 2002
Non-abelian (co)homology of Lie alge- bras - 2003
Non-abelian homology of Lie algebras - 2004
Homology of n-types and Hopf type formulas - 2005
On nilpotency and solvability of Leibniz n-algebras - 2006
Homotopy classication of braided graded categorical groups - 2007
Homotopy classication of graded Picard categories - 2007
Non-abelian cohomology and extensions of Lie algebras - 2008
Crossed modules for Leibniz n-algebras - 2008
Hopf formulas for equivariant homology of groups - 2010
Higher Hopf formulas for homology of Leibniz n-algebras - 2010
Homology and central extensions of Leibniz and Lie n-algebras - 2011
On associative and Lie 2-algebras - 2012
Cyclic homologies of crossed modules of algebras - 2012
On non-abelian Leibniz cohomology - 2013
Low-dimensional non-abelian Leibniz cohomology - 2013
Universal enveloping crossed module of a Lie crossed module - 2014
Adjunction between crossed modules of groups and algebras - 2014
Non-abelian tensor product and homology of Lie superalgebras - 2015
Non-abelian homology of Hom-Lie algebras and applications - 2015
Some applications of the non-abelian tensor product of Hom-Leibniz algebras - 2016
On Lie-central extensions of Leibniz algebras - 2017
More on crossed modules of Lie, Leibniz, associative and diassociative algebras - 2017
A non-abelian tensor product of Hom-Lie algebras - 2017
A non-abelian Hom-Leibniz tensor product and applications - 2017
Naive algorithm to Bos-Chaum one-time signature scheme - 2018
Actor of a crossed module of Leibniz algebras - 2018
A non-abelian exterior product and homology of Leibniz algebras - 2018
On capable Leibniz algebras - 2019
One-way ring homomorphism - 2019
Public key exchange using crossed modules of groups - 2019
On one-way ring homomorphisms - 2020
On some properties preserved by the non-abelian tensor product of Hom-Lie algebras - 2021
On capability of Leibniz algebras - 2021
Actor of a crossed module of dialgebras via tetramultipliers - 2021
Conferences  
K-Theory, C*-Algebras and Index Theory - 01-11-2010
Seminars in Homological Algebra - 22-05-2016
Workshop in Homological Algebra - 18-06-2018
Conference of A. Razmadze Math. Institute - 25-02-2019
X International Conference of the Georgian Mathematical Union - 02-09-2019
Algebra, Geometry, Topology and Applications (AGT&A) - 01-04-2022
Hacettepe University Mathematics General Seminar - 25-07-2022
XII International Conference of the Georgian Mathematical Union - 29-08-2022
XIII International Conference of the Georgian Mathematical Union - 03-09-2023
Scientific Projects  
Development and Applications of Simplicial Algebraic Techniques in the Cohomology of Algebraic Structures, Homotopy Theory, K-Theory and Cyclic Homology - 1998-2000
Homology and Cohomology of Algebraic Structures - 1999-2000
Homotopical Algebra and (Co)Homology of Groups, Algebras and Crossed Modules - 2002-2003
Algebraic K-Theory, Groups and Algebraic Homotopy Theory - 2003-2005
Simplicial Algebra, Homology Theories, K-theory and Homotopy Theory - 2005-2007
K-theory, Non-commutative Geometry, Homology Theories, Homotopy Theory, Operator and Normed Algebras - 2006-2008
- 2007-2009
Contributions to the Algebraic Classification of Homotopy Classes - 2007-2011
-German Non-Commutative Partnership (Topology, Geometry, Algebra) - 2009-2011
Calculations and Homological Methods in Non-associative Algebras - 2010-2012
11. გაგრძელება სამეცნიერო პროექტისა "Georgian-German non-commutative partnership (Topology, Geometry, Algebra) - 2012-2013
- 2013-2015
Homotopical Representation of Groups - 2013-2016
Homology, Homotopy and Categorical Invariants in Groups and Non-associative Algebras - 2014-2016
- 2015-2018
Homology, homotopy and categorical invariants in groups and nonassociative algebras - 2017-2020
Homological algebra and new invariants of crossed modules - 2022 - 2025
Courses  
Abstract Algebra-MATH5001 (  2020/2021; 2022/2023; )
Algebra and Topology-MATH7006 (  2020/2021; )
Algebra-MATH1213 (  2019/2020; 2020/2021; 2021/2022; 2024/2025; )
General and Algebraic Topology-MATH5004 (  2021/2022; 2022/2023; 2023/2024; )
General Topology-MATH5118 (  2016/2017; )
Research-STEM0001 (  2023/2024; 2024/2025; )
Fundamentals of quantitative research methods-MATH1214 (  2017/2018; )
Mathematics for Computer Graphics-INFO5250 (  2016/2017; 2019/2020; 2020/2021; 2021/2022; 2023/2024; )
Mathematics for Computer Graphics-INFO5250E (  2019/2020; )
Cryptography-MATH5027 (  2021/2022; 2024/2025; )
Criptography-MATH5124 (  2018/2019; )
Cryptology-MATH4119 (  2021/2022; 2024/2025; )
Fundamentals of Cryptology-MATH4118 (  2019/2020; 2020/2021; 2023/2024; )
Mathematics and Civilizations-STEM0007 (  2022/2023; )
Mathematics for Economists and Business III-MATH2114 (  2016/2017; 2017/2018; 2018/2019; 2019/2020; 2020/2021; 2021/2022; )
Mathematics for Economists and Business I-MATH1122 (  2017/2018; 2018/2019; )
-MATH1412 (  2017/2018; )
Mathematics for Economics IV-MATH1412 (  2018/2019; 2019/2020; 2020/2021; 2021/2022; 2023/2024; )
Mathematical Methods III-MATH1413 (  2018/2019; )
education practice-PDPR 7217 (  2021/2022; )
Master Thesis-MATH5400 (  2021/2022; 2022/2023; 2023/2024; )
Internship in Mathematics-MATH4213 (  2023/2024; )
selected topics in mathematics-MATH7012 (  2024/2025; )
Linear Algebra and Fundamentals of Probability-MATH1120 (  2016/2017; 2017/2018; 2018/2019; 2019/2020; )
Linear Algebra and Analytical Geometry-MATH1123 (  2016/2017; 2017/2018; 2018/2019; 2019/2020; 2020/2021; 2021/2022; 2022/2023; 2023/2024; 2024/2025; )
Linear Algebra and Analytical Geometry-MATH1123E (  2021/2022; )
Schedule  
Algebra-MATH1213
Research-STEM0001
Cryptography-MATH5027
Cryptology-MATH4119
selected topics in mathematics-MATH7012
Linear Algebra and Analytical Geometry-MATH1123
Associate Professor, University of Georgia, Candidate of Physical and Mathematical Sciences, Academic Doctor, Head of Department of Mathematics. His scientific interests include fields of modern abstract mathematics such as homological algebra, algebraic topology and category theory. During the last years he has been interested in mathematical cryptography. He is the author of many scientific articles published in prestigious mathematical journals, researcher of many international and national scientific projects, organizer and participant of international conferences. He has been organizing various regular seminars in algebra and mathematical cryptography over the years. Has experience working in European universities on researcher positions. At the University of Georgia he teaches various courses in linear algebra, analytical geometry, cryptography and mathematics for computer graphics, on both undergraduate and graduate levels.





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STAY INFORMED
Stay connected and get the latest information
SUBSCRIBE
OUR SOCIAL NETWORKS
UG
CONTACT
Address: 77a, M. Kostava str. Tbilisi, 0171, Georgia Tel: 2 55 22 22; info@ug.edu.ge
ADDITIONAL LINKS
All Rights Reserved. Copyright © 2018 The University of Georgia