Emzar Khmaladze

Researcher

Head of Mathematics Department

Professor

Doctor

Department of Matematics

School of Science and Technology

##### Education

##### Publications

##### Conferences

##### Scientific Projects

##### Courses

##### Schedule

Researcher

Head of Mathematics Department

Professor

Doctor

Department of Matematics

School of Science and Technology

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

Georgian Acad. of Sci. - A. Razmadze Math. Institute - Doctor - 1992-01-09 - 1995-01-07

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

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

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

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

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

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

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; )

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; )

Algebra-MATH1213

Research-STEM0001

Cryptography-MATH5027

Cryptology-MATH4119

selected topics in mathematics-MATH7012

Linear Algebra and Analytical Geometry-MATH1123

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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All Rights Reserved. Copyright © 2018 The University of Georgia

STAY INFORMED

Stay connected and get the latest information

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OUR SOCIAL NETWORKS

UG

CONTACT

Address: 77a, M. Kostava str. Tbilisi, 0171, Georgia Tel: 2 55 22 22; info@ug.edu.ge

ADDITIONAL LINKS